Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 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. #20265901 | C2 | semidirect |
| 2. #20265847 | C2 | semidirect |
| 3. #20265563 | C2 | semidirect |
| 4. #20265394 | C2 | semidirect |
| 5. #20265379 | C2 | semidirect |
| 6. #20265375 | C2 | semidirect |
| 7. #20265369 | C2 | semidirect |
| 8. #20265307 | C2 | semidirect |
| 9. #20265278 | C2 | semidirect |
| 10. C4×D808 | C2 | semidirect |
| 11. #492×C101 | C2 | semidirect |
| 105. C8×C101 | #41 | semidirect |
| 133. C101 | #3397 | semidirect |
| 137. #492 | D101 | semidirect |
| 239. C8 | #13108073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265901 | 2 |
| #20265847 | 2 |
| #20265563 | 2 |
| #20265394 | 2 |
| #20265379 | 2 |
| #20265375 | 2 |
| #20265369 | 2 |
| #20265307 | 2 |
| #20265278 | 2 |
| C4×D808 | 2 |
| #492×C101 | 2 |
| #3397 | 101 |