Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20265782 | C2 | semidirect |
| 2. #20265477 | C2 | semidirect |
| 3. #20265474 | C2 | semidirect |
| 4. #20265428 | C2 | semidirect |
| 5. #20265411 | C2 | semidirect |
| 6. #20265372 | C2 | semidirect |
| 7. #20265369 | C2 | semidirect |
| 8. #20265204 | C2 | semidirect |
| 9. #540×C101 | C2 | semidirect |
| 107. C101 | #3259 | semidirect |
| 109. #540 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265782 | 2 |
| #20265477 | 2 |
| #20265474 | 2 |
| #20265428 | 2 |
| #20265411 | 2 |
| #20265372 | 2 |
| #20265369 | 2 |
| #20265204 | 2 |
| #540×C101 | 2 |
| #3259 | 101 |