Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14531059 | C2 | semidirect |
| 3. #14531008 | C2 | semidirect |
| 4. #14528376 | C2 | semidirect |
| 5. C8×C16×C17 | C2 | semidirect |
| 45. C16×C17 | SD16 | semidirect |
| 58. C8×C17 | D16 | semidirect |
| 65. C8×C16 | D17 | semidirect |
| 103. C17 | #12503 | semidirect |
| 119. C16 | #63219 | semidirect |
| 131. C8 | D272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531059 | 2 |
| #14531034 | 2 |
| #14531008 | 2 |
| #14528376 | 2 |
| C8×C16×C17 | 2 |
| #12503 | 17 |