Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
496 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 496 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. #14539932 | C2 | semidirect |
| 4. #14527464 | C2 | semidirect |
| 6. #14526681 | C2 | semidirect |
| 7. C17×#1481 | C2 | semidirect |
| 166. #1481 | D17 | semidirect |
| 264. C17 | #10190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539932 | 2 |
| #14538577 | 2 |
| C2×#11763090 | 2 |
| #14527464 | 2 |
| #14527104 | 2 |
| #14526681 | 2 |
| C17×#1481 | 2 |
| #10190 | 17 |