Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 5. #11763654 | C4 | semidirect |
| 18. C2×C42×C17 | C8 | semidirect |
| 24. C2×C4⋊Dic17 | C8 | semidirect |
| 186. C2×C42 | #3624 | semidirect |
| 190. C17 | #7189 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763654 | 2 |
| #14527014 | 2 |
| #7189 | 17 |