Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
362 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 30. C22⋊#3624 | C8 | semidirect |
| 33. C17×C22⋊C8 | C8 | semidirect |
| 34. C22⋊#3622 | C8 | semidirect |
| 184. C22⋊C8 | #3633 | semidirect |
| 186. C17 | #7033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545925 | 2 |
| #14545924 | 2 |
| #14544512 | 2 |
| #7033 | 17 |