Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
312 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 1. #14545980 | C2 | semidirect |
| 4. #14545947 | C2 | semidirect |
| 5. #14545865 | C2 | semidirect |
| 6. #14545863 | C2 | semidirect |
| 214. C17 | #13123 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545980 | 2 |
| #14545968 | 2 |
| C2×#11763910 | 2 |
| #14545947 | 2 |
| #14545865 | 2 |
| #14545863 | 2 |
| #14544543 | 2 |
| #13123 | 17 |