Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 32. C4⋊#3624 | C8 | semidirect |
| 35. C17×C4⋊C8 | C8 | semidirect |
| 37. C4⋊#3622 | C8 | semidirect |
| 165. C4⋊C8 | #3633 | semidirect |
| 172. C17 | #7027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#3633 | 2 |
| #14545918 | 2 |
| #14544571 | 2 |
| #7027 | 17 |