Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
364 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #14539308 | C2 | semidirect |
| 4. #14526899 | C2 | semidirect |
| 5. C17×#1375 | C2 | semidirect |
| 24. C2×Dic68 | Q8 | semidirect |
| 27. C2×D136 | Q8 | semidirect |
| 105. #1375 | D17 | semidirect |
| 161. C17 | #13373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539308 | 2 |
| #14530521 | 2 |
| #14529677 | 2 |
| #14526899 | 2 |
| C17×#1375 | 2 |
| #13373 | 17 |