Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
550 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 24. #11763214 | C4 | semidirect |
| 26. #11763212 | C4 | semidirect |
| 27. #11763212 | C4 | semidirect |
| 30. C17×#500 | C4 | semidirect |
| 234. #500 | #595 | semidirect |
| 304. C17 | #9058 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545313 | 2 |
| #14544963 | 2 |
| #14544950 | 2 |
| D17⋊#332 | 2 |
| #14543619 | 2 |
| D17×#500 | 2 |
| #9058 | 17 |