Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
372 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 52. C17×#107 | C8 | semidirect |
| 53. #10587489 | C8 | semidirect |
| 54. #10587478 | C8 | semidirect |
| 55. #10587478 | C8 | semidirect |
| 213. #107 | #3633 | semidirect |
| 228. C17 | #9536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545933 | 2 |
| C4⋊C4×#3633 | 2 |
| #14545792 | 2 |
| #14545790 | 2 |
| (C2×#3633)⋊C8 | 2 |
| #107×#595 | 2 |
| #9536 | 17 |