Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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×#476 | C2 | semidirect |
| 4. #10622704 | C2 | semidirect |
| 5. #10622632 | C2 | semidirect |
| 6. #10622480 | C2 | semidirect |
| 7. #10622466 | C2 | semidirect |
| 8. #10622462 | C2 | semidirect |
| 9. #10622448 | C2 | semidirect |
| 11. #10622370 | C2 | semidirect |
| 117. #476 | D11 | semidirect |
| 218. C11 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623259 | 2 |
| C4×#4341 | 2 |
| C11×#476 | 2 |
| #10622704 | 2 |
| #10622632 | 2 |
| #10622480 | 2 |
| #10622466 | 2 |
| #10622462 | 2 |
| #10622448 | 2 |
| #10622396 | 2 |
| #10622370 | 2 |
| #3116 | 11 |