Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 6. #11763730 | C4 | semidirect |
| 123. C17 | #12657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545118 | 2 |
| C2×#11763702 | 2 |
| #14543825 | 2 |
| #14528470 | 2 |
| #12657 | 17 |