Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #10623048 | C2 | semidirect |
| 5. C11×H(3,ℤ/4) | C2 | semidirect |
| 6. #10622197 | C2 | semidirect |
| 7. #10622170 | C2 | semidirect |
| 30. C2×D44 | Q8 | semidirect |
| 33. C2×Dic22 | Q8 | semidirect |
| 88. H(3,ℤ/4) | D11 | semidirect |
| 157. C11 | #2031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623048 | 2 |
| C2×#66889 | 2 |
| #10622619 | 2 |
| #10622618 | 2 |
| C11×H(3,ℤ/4) | 2 |
| #10622197 | 2 |
| #10622170 | 2 |
| #2031 | 11 |