Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
222 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 8. #11763732 | C4 | semidirect |
| 9. #11763732 | C4 | semidirect |
| 140. C17 | #7271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763732 | 2 |
| #14528946 | 2 |
| #7271 | 17 |