Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
322 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #10622795 | C2 | semidirect |
| 7. #10622490 | C2 | semidirect |
| 8. #10622409 | C2 | semidirect |
| 9. #10622406 | C2 | semidirect |
| 163. C11 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623156 | 2 |
| C11×#467 | 2 |
| #10622795 | 2 |
| #10622729 | 2 |
| #10622715 | 2 |
| #10622665 | 2 |
| #10622490 | 2 |
| #10622409 | 2 |
| #10622406 | 2 |
| #3261 | 11 |