Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
294 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 12. #11763651 | C4 | semidirect |
| 13. #11763651 | C4 | semidirect |
| 14. #11763650 | C4 | semidirect |
| 15. C8×#3624 | C4 | semidirect |
| 180. C17 | #8141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543997 | 2 |
| #14543987 | 2 |
| #14543610 | 2 |
| #14543608 | 2 |
| #14528534 | 2 |
| #8141 | 17 |