Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
560 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14538824 | C2 | semidirect |
| 4. #14529765 | C2 | semidirect |
| 5. #14527214 | C2 | semidirect |
| 7. C17×#1274 | C2 | semidirect |
| 185. #1274 | D17 | semidirect |
| 287. C17 | #10016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538824 | 2 |
| #14538793 | 2 |
| #14532070 | 2 |
| #14529765 | 2 |
| #14527214 | 2 |
| #14527210 | 2 |
| C17×#1274 | 2 |
| #10016 | 17 |