Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #14529560 | C2 | semidirect |
| 3. #14527469 | C2 | semidirect |
| 6. #14526634 | C2 | semidirect |
| 7. C2×C17×#333 | C2 | semidirect |
| 150. C2×#333 | D17 | semidirect |
| 234. C17 | #10551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539180 | 2 |
| #14529560 | 2 |
| #14527469 | 2 |
| #14527459 | 2 |
| #14527182 | 2 |
| #14526634 | 2 |
| C2×C17×#333 | 2 |
| #10551 | 17 |