Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14539312 | C2 | semidirect |
| 5. #14526885 | C2 | semidirect |
| 6. #14526869 | C2 | semidirect |
| 7. C17×#1386 | C2 | semidirect |
| 33. C2×Dic68 | Q8 | semidirect |
| 38. C2×D136 | Q8 | semidirect |
| 140. #1386 | D17 | semidirect |
| 219. C17 | #13374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539312 | 2 |
| #14530521 | 2 |
| C2×#11762618 | 2 |
| #14529680 | 2 |
| #14526885 | 2 |
| #14526869 | 2 |
| C17×#1386 | 2 |
| #13374 | 17 |