Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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×#427 | C2 | semidirect |
| 3. C2×#66876 | C2 | semidirect |
| 4. #10622129 | C2 | semidirect |
| 10. C2×D88 | C4 | semidirect |
| 12. C11×#107 | C22 | semidirect |
| 15. C2×C11⋊C16 | C22 | semidirect |
| 51. #427 | D11 | semidirect |
| 72. #107 | C2×D11 | semidirect |
| 95. C11 | #2140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D88 | 2 |
| C11×#427 | 2 |
| C2×#66876 | 2 |
| #10622129 | 2 |
| #2140 | 11 |