Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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. #10623259 | C2 | semidirect |
| 3. C11×#462 | C2 | semidirect |
| 5. Q16×Dic11 | C2 | semidirect |
| 6. #10622696 | C2 | semidirect |
| 7. #10622633 | C2 | semidirect |
| 8. #10622459 | C2 | semidirect |
| 9. #10622446 | C2 | semidirect |
| 10. #10622427 | C2 | semidirect |
| 11. #10622401 | C2 | semidirect |
| 118. #462 | D11 | semidirect |
| 218. C11 | #3107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623259 | 2 |
| C4×#4343 | 2 |
| C11×#462 | 2 |
| #10622800 | 2 |
| Q16×Dic11 | 2 |
| #10622696 | 2 |
| #10622633 | 2 |
| #10622459 | 2 |
| #10622446 | 2 |
| #10622427 | 2 |
| #10622401 | 2 |
| #3107 | 11 |