Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
560 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14538819 | C2 | semidirect |
| 4. #14527212 | C2 | semidirect |
| 6. #14526613 | C2 | semidirect |
| 7. C17×#1995 | C2 | semidirect |
| 182. #1995 | 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 |
|---|---|
| #14538819 | 2 |
| #14538788 | 2 |
| #14532070 | 2 |
| #14527212 | 2 |
| #14527208 | 2 |
| #14526613 | 2 |
| C17×#1995 | 2 |
| #10016 | 17 |