Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
526 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 2. C2×#11763722 | C2 | semidirect |
| 4. #14543841 | C2 | semidirect |
| 17. #11763051 | C4 | semidirect |
| 18. #11763050 | C4 | semidirect |
| 21. #11763047 | C4 | semidirect |
| 24. C17×#467 | C4 | semidirect |
| 162. C22×C17 | #358 | semidirect |
| 168. C2×D17 | #358 | semidirect |
| 195. #467 | #595 | semidirect |
| 250. C17 | #13060 | semidirect |
| 350. C22 | #11763722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587529 | 2 |
| C2×#11763722 | 2 |
| #14544661 | 2 |
| #14543841 | 2 |
| D17×#467 | 2 |
| #13060 | 17 |