Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14545908 | C2 | semidirect |
| 3. #14545788 | C2 | semidirect |
| 37. C22×C8×C17 | C8 | semidirect |
| 38. C22×#3622 | C8 | semidirect |
| 43. C2×C8×D17 | C8 | semidirect |
| 44. C2×C8×D17 | C8 | semidirect |
| 209. C22×C8 | #3633 | semidirect |
| 227. C17 | #8601 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545908 | 2 |
| #14545896 | 2 |
| #14545788 | 2 |
| C2×#11763772 | 2 |
| #8601 | 17 |