Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
674 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 21. #11763207 | C4 | semidirect |
| 22. #11763206 | C4 | semidirect |
| 23. #11763205 | C4 | semidirect |
| 26. C17×#498 | C4 | semidirect |
| 136. #498 | #595 | semidirect |
| 182. C17 | #22253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545279 | 2 |
| #14544968 | 2 |
| #14544847 | 2 |
| #14544846 | 2 |
| #14544706 | 2 |
| #14544502 | 2 |
| D17×#498 | 2 |
| #22253 | 17 |