Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
642 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14540162 | C2 | semidirect |
| 2. #14539699 | C2 | semidirect |
| 3. #14539236 | C2 | semidirect |
| 4. #14529624 | C2 | semidirect |
| 5. #14527202 | C2 | semidirect |
| 6. #14526674 | C2 | semidirect |
| 7. C17×#1525 | C2 | semidirect |
| 178. #1525 | D17 | semidirect |
| 280. C17 | #10104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540162 | 2 |
| #14539699 | 2 |
| #14539236 | 2 |
| #14529624 | 2 |
| #14527202 | 2 |
| #14526674 | 2 |
| C17×#1525 | 2 |
| #10104 | 17 |