Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
752 conjugacy classes of subgroups.
The subgroup lattice has 602 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14526912 | C2 | semidirect |
| 6. C22×#63223 | C4 | semidirect |
| 7. C22×#63223 | C4 | semidirect |
| 10. #11762793 | C4 | semidirect |
| 12. C2×#10587507 | C4 | semidirect |
| 16. #11762776 | C4 | semidirect |
| 67. C2×#63223 | C2×C4 | semidirect |
| 70. C22×#3622 | C2×C4 | semidirect |
| 76. #10587507 | C2×C4 | semidirect |
| 383. C17 | #12589 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762793 | 2 |
| #14537229 | 2 |
| #14526912 | 2 |
| C2×C17×#410 | 2 |
| #12589 | 17 |