Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
442 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 151 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. C4×#10587490 | C2 | semidirect |
| 4. #14526880 | C2 | semidirect |
| 5. C2×C17×#346 | C2 | semidirect |
| 15. #11762617 | C4 | semidirect |
| 38. C2×C16×C17 | C2×C4 | semidirect |
| 43. #10587490 | C2×C4 | semidirect |
| 108. C2×#346 | D17 | semidirect |
| 159. C2×C16 | C4×D17 | semidirect |
| 170. C17 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587590 | 2 |
| C2×#11762617 | 2 |
| C4×#10587490 | 2 |
| #14526880 | 2 |
| C2×C17×#346 | 2 |
| #12640 | 17 |