Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 466 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. #14541886 | C2 | semidirect |
| 3. #14530513 | C2 | semidirect |
| 4. #14530511 | C2 | semidirect |
| 5. #14528831 | C2 | semidirect |
| 6. #14526882 | C2 | semidirect |
| 7. C17×#1383 | C2 | semidirect |
| 54. C2×C16×C17 | D4 | semidirect |
| 65. C2×#63214 | D4 | semidirect |
| 165. #1383 | D17 | semidirect |
| 239. C2×C16 | D68 | semidirect |
| 250. C17 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541886 | 2 |
| #14538447 | 2 |
| #14530513 | 2 |
| #14530511 | 2 |
| #14528831 | 2 |
| #14526882 | 2 |
| C17×#1383 | 2 |
| #13076 | 17 |