Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
324 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11762584 | C2 | semidirect |
| 5. #14529530 | C2 | semidirect |
| 6. #14526881 | C2 | semidirect |
| 7. C17×#1381 | C2 | semidirect |
| 16. #11762614 | C4 | semidirect |
| 17. #11762611 | C4 | semidirect |
| 126. #1381 | D17 | 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×#11762615 | 2 |
| #14530492 | 2 |
| C2×#11762584 | 2 |
| #14529670 | 2 |
| #14529530 | 2 |
| #14526881 | 2 |
| C17×#1381 | 2 |
| #13152 | 17 |