Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14538915 | C2 | semidirect |
| 4. #14529723 | C2 | semidirect |
| 5. #14527400 | C2 | semidirect |
| 7. C17×#1290 | C2 | semidirect |
| 176. #1290 | D17 | semidirect |
| 275. C17 | #10029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540101 | 2 |
| #14538915 | 2 |
| #14538907 | 2 |
| #14529723 | 2 |
| #14527400 | 2 |
| #14527396 | 2 |
| C17×#1290 | 2 |
| #10029 | 17 |