Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
294 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 88 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. #11762561 | C4 | semidirect |
| 24. #11762561 | C4 | semidirect |
| 25. #11762560 | C4 | semidirect |
| 26. C17×#334 | C4 | semidirect |
| 160. #334 | #595 | semidirect |
| 195. C17 | #9632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544708 | 2 |
| #14544578 | 2 |
| #14544354 | 2 |
| #14544352 | 2 |
| #14543681 | 2 |
| #14527529 | 2 |
| #9632 | 17 |