Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
394 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 120 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×#11763698 | C2 | semidirect |
| 2. #14544331 | C2 | semidirect |
| 3. #14543744 | C2 | semidirect |
| 4. #14543742 | C2 | semidirect |
| 25. C17×#135 | C8 | semidirect |
| 172. #135 | #3624 | semidirect |
| 204. C17 | #11597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763698 | 2 |
| #14544331 | 2 |
| #14543744 | 2 |
| #14543742 | 2 |
| #135×Dic17 | 2 |
| #11597 | 17 |