Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
226 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 9. #11763673 | C4 | semidirect |
| 13. C4×#63214 | C4 | semidirect |
| 14. C4×C16×C17 | C4 | semidirect |
| 104. C4×C16 | #595 | semidirect |
| 129. C17 | #7217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544705 | 2 |
| #14544343 | 2 |
| #14530581 | 2 |
| #7217 | 17 |