Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
602 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 12. #11763654 | C4 | semidirect |
| 254. C17 | #8154 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544510 | 2 |
| C4×C22⋊#3624 | 2 |
| C2×#11763654 | 2 |
| #14543622 | 2 |
| C2×#11762694 | 2 |
| #8154 | 17 |