Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
254 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 65 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. C11×#430 | C2 | semidirect |
| 4. C2×#66888 | C2 | semidirect |
| 6. #10622733 | C2 | semidirect |
| 7. #10622197 | C2 | semidirect |
| 89. #430 | D11 | semidirect |
| 163. C11 | #2049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66962 | 2 |
| C11×#430 | 2 |
| #10622752 | 2 |
| C2×#66888 | 2 |
| #10622745 | 2 |
| #10622733 | 2 |
| #10622197 | 2 |
| #2049 | 11 |