Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
636 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 636 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. #14539229 | C2 | semidirect |
| 2. #14538785 | C2 | semidirect |
| 3. #14538780 | C2 | semidirect |
| 4. #14529581 | C2 | semidirect |
| 5. #14527182 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#1480 | C2 | semidirect |
| 140. C2×#3622 | D8 | semidirect |
| 195. #1480 | D17 | semidirect |
| 306. C17 | #10032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539229 | 2 |
| #14538785 | 2 |
| #14538780 | 2 |
| #14529581 | 2 |
| #14527182 | 2 |
| #14526614 | 2 |
| C17×#1480 | 2 |
| #10032 | 17 |