Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#66954 | C2 | semidirect |
| 3. #10622723 | C2 | semidirect |
| 4. C2×#66869 | C2 | semidirect |
| 5. C2×#66869 | C2 | semidirect |
| 6. C11×#336 | C2 | semidirect |
| 7. #10622190 | C2 | semidirect |
| 15. C2×Dic44 | C4 | semidirect |
| 18. C2×D88 | C4 | semidirect |
| 19. C2×#4314 | C4 | semidirect |
| 20. C2×#4314 | C4 | semidirect |
| 112. #336 | D11 | semidirect |
| 199. C11 | #1876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66957 | 2 |
| C2×#66954 | 2 |
| #10622723 | 2 |
| C2×#66869 | 2 |
| C11×#336 | 2 |
| #10622190 | 2 |
| #1876 | 11 |