Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 1. C2×#11763695 | C2 | semidirect |
| 2. #14544331 | C2 | semidirect |
| 3. #14543741 | C2 | semidirect |
| 4. #14543739 | C2 | semidirect |
| 30. #10587590 | C8 | semidirect |
| 204. C17 | #11591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763695 | 2 |
| #14544331 | 2 |
| #14543741 | 2 |
| #14543739 | 2 |
| #14537555 | 2 |
| #11591 | 17 |