Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
550 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 550 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 |
|---|---|---|
| 1. #14539912 | C2 | semidirect |
| 2. C2×#11763086 | C2 | semidirect |
| 4. #14527184 | C2 | semidirect |
| 5. #14527104 | C2 | semidirect |
| 6. #14526679 | C2 | semidirect |
| 7. C17×#1548 | C2 | semidirect |
| 181. #1548 | D17 | semidirect |
| 285. C17 | #10188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539912 | 2 |
| C2×#11763086 | 2 |
| #14538250 | 2 |
| #14527184 | 2 |
| #14527104 | 2 |
| #14526679 | 2 |
| C17×#1548 | 2 |
| #10188 | 17 |