Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
580 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #14543779 | C2 | semidirect |
| 13. #11762728 | C4 | semidirect |
| 18. #11762669 | C4 | semidirect |
| 19. C23×Q8×C17 | C4 | semidirect |
| 170. C23×Q8 | #595 | semidirect |
| 223. C17 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544644 | 2 |
| #14544023 | 2 |
| #14543779 | 2 |
| #14532143 | 2 |
| #11898 | 17 |