Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
342 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 14. #11763673 | C4 | semidirect |
| 15. #11763670 | C4 | semidirect |
| 23. #11762562 | C4 | semidirect |
| 24. #11762559 | C4 | semidirect |
| 25. #11762559 | C4 | semidirect |
| 26. C17×#335 | C4 | semidirect |
| 143. #335 | #595 | semidirect |
| 183. C17 | #8270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544497 | 2 |
| #14544332 | 2 |
| #14544000 | 2 |
| #14543990 | 2 |
| #14543611 | 2 |
| #14527531 | 2 |
| #8270 | 17 |