Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 37. C2×#63231 | C8 | semidirect |
| 241. C17 | #9088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545677 | 2 |
| #14544088 | 2 |
| #14544086 | 2 |
| #14544028 | 2 |
| #14543624 | 2 |
| #14543610 | 2 |
| C2×#11762913 | 2 |
| #9088 | 17 |