Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10623256 | C2 | semidirect |
| 2. #10623088 | C2 | semidirect |
| 3. C11×#461 | C2 | semidirect |
| 4. #10622785 | C2 | semidirect |
| 5. #10622781 | C2 | semidirect |
| 6. #10622703 | C2 | semidirect |
| 7. #10622628 | C2 | semidirect |
| 8. #10622461 | C2 | semidirect |
| 9. #10622446 | C2 | semidirect |
| 10. #10622423 | C2 | semidirect |
| 11. #10622413 | C2 | semidirect |
| 123. #461 | D11 | semidirect |
| 228. C11 | #3212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623088 | 2 |
| C11×#461 | 2 |
| #10622785 | 2 |
| #10622781 | 2 |
| #10622703 | 2 |
| #10622628 | 2 |
| #10622461 | 2 |
| #10622446 | 2 |
| #10622423 | 2 |
| #10622413 | 2 |
| #3212 | 11 |