Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
238 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #14526854 | C2 | semidirect |
| 5. #14526853 | C2 | semidirect |
| 6. #14526847 | C2 | semidirect |
| 7. C17×#1367 | C2 | semidirect |
| 100. #1367 | D17 | semidirect |
| 154. C17 | #12016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530586 | 2 |
| D17×C4⋊C16 | 2 |
| C8×#63218 | 2 |
| #14526854 | 2 |
| #14526853 | 2 |
| #14526847 | 2 |
| C17×#1367 | 2 |
| #12016 | 17 |