Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
542 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 3. #14543985 | C2 | semidirect |
| 4. #14543628 | C2 | semidirect |
| 44. #10587553 | C8 | semidirect |
| 75. #63247 | C2×C8 | semidirect |
| 134. #3624 | #100 | semidirect |
| 221. C17 | C8×#100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763836 | 2 |
| #14544534 | 2 |
| #14543985 | 2 |
| #14543628 | 2 |
| #14527103 | 2 |
| C8×#100 | 17 |