Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11763188 | C4 | semidirect |
| 10. #11763161 | C4 | semidirect |
| 91. C42×C17 | Q16 | semidirect |
| 230. C17 | #9297 | semidirect |
| 268. C42 | #63231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539729 | 2 |
| #14531532 | 2 |
| #14527466 | 2 |
| #14527348 | 2 |
| #14526644 | 2 |
| #14526613 | 2 |
| C17×#1995 | 2 |
| #9297 | 17 |