Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 554 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 |
|---|---|---|
| 3. #14527502 | C2 | semidirect |
| 4. #14527500 | C2 | semidirect |
| 6. #14526640 | C2 | semidirect |
| 7. C17×#1285 | C2 | semidirect |
| 171. #1285 | D17 | semidirect |
| 268. C17 | #9455 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537812 | 2 |
| #14533733 | 2 |
| #14527502 | 2 |
| #14527500 | 2 |
| #14527124 | 2 |
| #14526640 | 2 |
| C17×#1285 | 2 |
| #9455 | 17 |