Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#11763252 | C2 | semidirect |
| 3. C2×#11763193 | C2 | semidirect |
| 4. C2×#11762626 | C2 | semidirect |
| 5. C2×#11762623 | C2 | semidirect |
| 6. #14529672 | C2 | semidirect |
| 7. C17×#1376 | C2 | semidirect |
| 182. #1376 | D17 | semidirect |
| 277. C17 | #13332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763252 | 2 |
| C2×#11763247 | 2 |
| C2×#11763193 | 2 |
| C2×#11762626 | 2 |
| C2×#11762623 | 2 |
| #14529672 | 2 |
| C17×#1376 | 2 |
| #13332 | 17 |