The following example uses Minor Triads in Am.
Root inversion - root is on the lowest note
E--------0--
B-----1-----
G--2--------
D-----------
A-----------
E-----------
A C E
R 3 5
First inversion - root is on highest note
E--------5--
B-----5-----
G--5--------
D-----------
A-----------
E-----------
C E A
3 5 R
Second inversion - root is in the middle
E--------8--
B-----10----
G--9--------
D-----------
A-----------
E-----------
E A C
5 R 3
Inversions on each string set 1st position
E--------0------------
B-----1------------1--
G--2------------2-----
D------------2--------
A---------------------
E---------------------
A C E E A C
Root 2nd
Inversions on the E B G string set
E--------0---------5---------8--
B-----1---------5---------10----
G--2---------5---------9--------
D-------------------------------
A-------------------------------
E-------------------------------
A C E C E A E A C
Root 1st 2nd
Inversions on each string set 2nd position
E---------------------
B---------------------
G--------2------------
D-----2------------2--
A--3------------3-----
E------------5--------
C E A A C E
1st Root
Inversions on the B G D string set
E--------------------------------
B--------1---------5---------10--
G-----2---------5---------9------
D--2---------7---------10--------
A--------------------------------
E--------------------------------
E A C A C E C E A
2nd Root 1st
Inversions on each string set 3rd position
E--------5----------------------
B-----5------------5------------
G--5------------5------------5--
D------------7------------7-----
A----------------------7--------
E-------------------------------
C E A A C E E A C
1st Root 2nd
Inversions on the G D A string set
E-----------------------------------
B-----------------------------------
G--------2---------5---------9------
D-----2---------7---------10--------
A--3---------7---------12-----------
E-----------------------------------
C E A E A C A C E
1st 2nd Root
Inversions on each string set 4th position
E--------8----------------------------------
B-----10-----------10-----------------------
G--9------------9------------9--------------
D------------10-----------10------------10--
A----------------------12-----------12------
E--------------------------------12---------
E A C C E A A C E E A C
2nd 1st Root 2nd
Inversions on the D A E string set
E--------------------------------
B--------------------------------
G--------------------------------
D--------2---------7---------10--
A-----3---------7---------12-----
E--5---------8---------12--------
A C E C E A E A C
Root 1st 2nd
Triads – Minor Inversions
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G Major Modes
Modes on All 6 StringsAeolianE--------------------------------2-3-5--B--------------------------1-3-5--------G--------------------0-2-4--------------D--------------0-2-4--------------------A--------0-2-3--------------------------E--0-2-3--------------------------------LocrianE--------------------------------3-5-7--B--------------------------3-5-7--------G--------------------2-4-5--------------D--------------2-4-5--------------------A--------2-3-5--------------------------E--2-3-5--------------------------------IonianE--------------------------------5-7-8--B--------------------------5-7-8--------G--------------------4-5-7--------------D--------------4-5-7--------------------A--------3-5-7--------------------------E--3-5-7--------------------------------DorianE---------------------------------7-8-10--B--------------------------7-8-10---------G--------------------5-7-9----------------D--------------5-7-9----------------------A--------5-7-9----------------------------E--5-7-8----------------------------------Phrygian E--------------------------------------8-10-12--B------------------------------8-10-12----------G-----------------------7-9-11------------------D----------------7-9-10-------------------------A---------7-9-10--------------------------------E--7-8-10---------------------------------------LydianE-------------------------------------------10-12-14--B----------------------------------10-12-13-----------G--------------------------9-11-12--------------------D------------------9-10-12----------------------------A----------9-10-12------------------------------------E--8-10-12--------------------------------------------MixolydianE-----------------------------------------------12-14-15--B--------------------------------------12-13-15-----------G-----------------------------11-13-14--------------------D--------------------10-12-14-----------------------------A-----------10-12-14--------------------------------------E--10-12-14-----------------------------------------------Modes on Bottom 3 StringsAeolianE--------------2-3-5--B--------1-3-5--------G--0-2-4--------------D---------------------A---------------------E---------------------LocrianE--------------3-5-7--B--------3-5-7--------G--2-4-5--------------D---------------------A---------------------E---------------------IonianE--------------5-7-8--B--------5-7-8--------G--4-5-7--------------D---------------------A---------------------E---------------------DorianE---------------7-8-10--B--------7-8-10---------G--5-7-9----------------D-----------------------A-----------------------E-----------------------Phrygian E-----------------8-10-12--B---------8-10-12----------G--7-9-11------------------D--------------------------A--------------------------E--------------------------LydianE-------------------10-12-14--B----------10-12-13-----------G--9-11-12--------------------D-----------------------------A-----------------------------E-----------------------------MixolydianE--------------------12-14-15--B-----------12-13-15-----------G--11-13-14--------------------D------------------------------A------------------------------E------------------------------Modes on Top 3 StringsAeolianE-------------------B-------------------G-------------------D--------------0----A--------0-2-3------E--0-2-3------------ w h w w h wLocrianE-----------------B-----------------G-----------------D--------------2--A--------2-3-5----E--2-3-5---------- h w w h w wIonianE-------------------B-------------------G-------------------D--------------4----A--------3-5-7------E--3-5-7------------ w w h