Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
348 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 7. C2×C4×#3622 | C4 | semidirect |
| 8. #11762679 | C4 | semidirect |
| 10. #11762602 | C4 | semidirect |
| 14. C17×#353 | C4 | semidirect |
| 152. #353 | Dic17 | semidirect |
| 183. C17 | #7498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762602 | 2 |
| #14529591 | 2 |
| C2×C17×#353 | 2 |
| #7498 | 17 |