Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
584 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 584 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 |
|---|---|---|
| 2. #14538816 | C2 | semidirect |
| 3. #14538811 | C2 | semidirect |
| 4. #14529723 | C2 | semidirect |
| 5. #14527182 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#1480 | C2 | semidirect |
| 137. C2×#3622 | SD16 | semidirect |
| 187. #1480 | D17 | semidirect |
| 292. C17 | #10034 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539229 | 2 |
| #14538816 | 2 |
| #14538811 | 2 |
| #14529723 | 2 |
| #14527182 | 2 |
| #14526614 | 2 |
| C17×#1480 | 2 |
| #10034 | 17 |