Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1050 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 18. C22×Q8×C17 | C8 | semidirect |
| 145. C22×Q8 | #3624 | semidirect |
| 164. C17 | #8303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544674 | 2 |
| C2×#11763654 | 2 |
| C22×Q8×Dic17 | 2 |
| #8303 | 17 |