Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10622703 | C2 | semidirect |
| 4. #10622676 | C2 | semidirect |
| 7. #10622644 | C2 | semidirect |
| 8. #10622635 | C2 | semidirect |
| 156. C11 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#541 | 2 |
| #10623049 | 2 |
| #10622703 | 2 |
| #10622676 | 2 |
| #10622665 | 2 |
| #10622664 | 2 |
| #10622644 | 2 |
| #10622635 | 2 |
| #10622612 | 2 |
| #3261 | 11 |