Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
340 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 5. C2×#10587534 | C4 | semidirect |
| 6. C2×#10587533 | C4 | semidirect |
| 10. #11763677 | C4 | semidirect |
| 13. #11762591 | C4 | semidirect |
| 15. C17×#349 | C4 | semidirect |
| 152. #349 | #595 | semidirect |
| 189. C17 | #7254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544662 | 2 |
| #14544456 | 2 |
| D17×#349 | 2 |
| #7254 | 17 |