Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
396 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 23. #11762614 | C4 | semidirect |
| 24. #11762613 | C4 | semidirect |
| 25. #11762612 | C4 | semidirect |
| 26. C17×#358 | C4 | semidirect |
| 177. #358 | #595 | semidirect |
| 221. C17 | #12957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763849 | 2 |
| C2×#11763734 | 2 |
| C2×#11763728 | 2 |
| #14544893 | 2 |
| #14543855 | 2 |
| #14543824 | 2 |
| #14530502 | 2 |
| #12957 | 17 |