Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #10623054 | C2 | semidirect |
| 3. C11×#428 | C2 | semidirect |
| 4. #10622746 | C2 | semidirect |
| 5. #10622742 | C2 | semidirect |
| 6. #10622615 | C2 | semidirect |
| 7. C2×#66872 | C2 | semidirect |
| 8. #10622501 | C2 | semidirect |
| 9. #10622498 | C2 | semidirect |
| 10. #10622476 | C2 | semidirect |
| 11. #10622475 | C2 | semidirect |
| 115. #428 | D11 | semidirect |
| 210. C11 | #3099 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623054 | 2 |
| #10623041 | 2 |
| C11×#428 | 2 |
| #10622746 | 2 |
| #10622742 | 2 |
| #10622615 | 2 |
| C2×#66872 | 2 |
| #10622501 | 2 |
| #10622498 | 2 |
| #10622476 | 2 |
| #10622475 | 2 |
| #3099 | 11 |