Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
542 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 542 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. #14539306 | C2 | semidirect |
| 5. #14527347 | C2 | semidirect |
| 6. #14526628 | C2 | semidirect |
| 7. C17×#1518 | C2 | semidirect |
| 121. C2×#3622 | SD16 | semidirect |
| 165. #1518 | D17 | semidirect |
| 262. C17 | #10220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539727 | 2 |
| #14539722 | 2 |
| #14539306 | 2 |
| #14529607 | 2 |
| #14527347 | 2 |
| #14526628 | 2 |
| C17×#1518 | 2 |
| #10220 | 17 |