Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
300 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 29. #10587542 | C8 | semidirect |
| 144. C17 | #7023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587544 | 2 |
| #14544501 | 2 |
| #14528926 | 2 |
| #7023 | 17 |