Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
396 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 278. C17 | #9528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545690 | 2 |
| #14544320 | 2 |
| #14544112 | 2 |
| #14544047 | 2 |
| #14543689 | 2 |
| #14543642 | 2 |
| #14538909 | 2 |
| #9528 | 17 |