Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
592 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 592 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. #14540101 | C2 | semidirect |
| 3. #14539159 | C2 | semidirect |
| 4. #14529710 | C2 | semidirect |
| 5. #14529703 | C2 | semidirect |
| 6. #14527284 | C2 | semidirect |
| 7. C17×#1283 | C2 | semidirect |
| 182. #1283 | D17 | semidirect |
| 283. C17 | #10193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540101 | 2 |
| #14539704 | 2 |
| #14539159 | 2 |
| #14529710 | 2 |
| #14529703 | 2 |
| #14527284 | 2 |
| C17×#1283 | 2 |
| #10193 | 17 |