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×#461 | C2 | semidirect |
| 5. #10622777 | C2 | semidirect |
| 6. #10622703 | C2 | semidirect |
| 7. #10622621 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 9. #10622448 | C2 | semidirect |
| 10. #10622427 | C2 | semidirect |
| 11. #10622402 | C2 | semidirect |
| 119. #461 | 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×#461 | 2 |
| #10622786 | 2 |
| #10622777 | 2 |
| #10622703 | 2 |
| #10622621 | 2 |
| #10622463 | 2 |
| #10622448 | 2 |
| #10622427 | 2 |
| #10622402 | 2 |
| #3116 | 11 |