Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
296 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 67 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. #10622744 | C2 | semidirect |
| 3. C2×#66887 | C2 | semidirect |
| 4. #10622715 | C2 | semidirect |
| 5. C11×#341 | C2 | semidirect |
| 57. #341 | D11 | semidirect |
| 102. C11 | #2045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D88 | 2 |
| #10622744 | 2 |
| C2×#66887 | 2 |
| #10622715 | 2 |
| C11×#341 | 2 |
| #2045 | 11 |