Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
326 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 184. C11 | #3374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#557 | 2 |
| #10623098 | 2 |
| #10622703 | 2 |
| #10622695 | 2 |
| #10622694 | 2 |
| #10622643 | 2 |
| C4×#4326 | 2 |
| #10622637 | 2 |
| #10622635 | 2 |
| #10622633 | 2 |
| #3374 | 11 |