Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 3. C2×#11762585 | C2 | semidirect |
| 4. #14529532 | C2 | semidirect |
| 5. #14526881 | C2 | semidirect |
| 6. #14526877 | C2 | semidirect |
| 14. #11762613 | C4 | semidirect |
| 15. #11762610 | C4 | semidirect |
| 191. C17 | #13152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762616 | 2 |
| #14530491 | 2 |
| C2×#11762585 | 2 |
| #14529532 | 2 |
| #14526881 | 2 |
| #14526877 | 2 |
| C17×#1974 | 2 |
| #13152 | 17 |