Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #14529535 | C2 | semidirect |
| 5. #14526891 | C2 | semidirect |
| 6. #14526863 | C2 | semidirect |
| 7. C2×C17×#365 | C2 | semidirect |
| 18. #11762611 | C4 | semidirect |
| 43. C2×C16×C17 | C2×C4 | semidirect |
| 48. #10587489 | C2×C4 | semidirect |
| 125. C2×#365 | D17 | semidirect |
| 190. C2×C16 | C4×D17 | semidirect |
| 201. C17 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762920 | 2 |
| C2×#11762621 | 2 |
| #14530501 | 2 |
| #14529535 | 2 |
| #14526891 | 2 |
| #14526863 | 2 |
| C2×C17×#365 | 2 |
| #12956 | 17 |