Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14527537 | C2 | semidirect |
| 6. #14526658 | C2 | semidirect |
| 7. C17×#1570 | C2 | semidirect |
| 135. #1570 | D17 | semidirect |
| 213. C17 | #10607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529623 | 2 |
| #14529560 | 2 |
| #14527537 | 2 |
| #14527451 | 2 |
| C2×#11762552 | 2 |
| #14526658 | 2 |
| C17×#1570 | 2 |
| #10607 | 17 |