Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 22. #11763188 | C4 | semidirect |
| 23. #11763160 | C4 | semidirect |
| 24. #11763159 | C4 | semidirect |
| 28. C17×#494 | C4 | semidirect |
| 93. C4×#595 | Q16 | semidirect |
| 186. #494 | #595 | semidirect |
| 251. C17 | #9297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545279 | 2 |
| #14544972 | 2 |
| #14544298 | 2 |
| #14544216 | 2 |
| #14543638 | 2 |
| #14543607 | 2 |
| #14539728 | 2 |
| #9297 | 17 |