Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
478 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 20. #11763161 | C4 | semidirect |
| 21. #11763160 | C4 | semidirect |
| 22. #11763159 | C4 | semidirect |
| 26. C17×#487 | C4 | semidirect |
| 184. #487 | #595 | semidirect |
| 242. C17 | #9840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544965 | 2 |
| #14544911 | 2 |
| #14544705 | 2 |
| #14543978 | 2 |
| D17×#487 | 2 |
| #9840 | 17 |