Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 1. #14545464 | C2 | semidirect |
| 2. #14544123 | C2 | semidirect |
| 3. #14544036 | C2 | semidirect |
| 4. #14543643 | C2 | semidirect |
| 54. C4×#3624 | D4 | semidirect |
| 244. C17 | #9494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545464 | 2 |
| #14544123 | 2 |
| #14544036 | 2 |
| #14543643 | 2 |
| #14534343 | 2 |
| #9494 | 17 |