Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
322 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #10622464 | C2 | semidirect |
| 5. #10622463 | C2 | semidirect |
| 7. #10622316 | C2 | semidirect |
| 8. #10622315 | C2 | semidirect |
| 159. C11 | #3237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623001 | 2 |
| C11×#432 | 2 |
| #10622464 | 2 |
| #10622463 | 2 |
| #10622336 | 2 |
| #10622316 | 2 |
| #10622315 | 2 |
| #3237 | 11 |