Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
826 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 18. #11763189 | C4 | semidirect |
| 19. #11763188 | C4 | semidirect |
| 20. #11763187 | C4 | semidirect |
| 22. C17×#494 | C4 | semidirect |
| 122. #494 | #595 | semidirect |
| 161. C17 | #22277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545275 | 2 |
| #14544915 | 2 |
| #14544778 | 2 |
| #14544706 | 2 |
| #14544502 | 2 |
| D17×#494 | 2 |
| #22277 | 17 |