Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
456 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14546035 | C2 | semidirect |
| 2. #14545967 | C2 | semidirect |
| 3. C2×#11763910 | C2 | semidirect |
| 4. #14545962 | C2 | semidirect |
| 5. #14545865 | C2 | semidirect |
| 6. #14545863 | C2 | semidirect |
| 305. C17 | #12987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546035 | 2 |
| #14545967 | 2 |
| C2×#11763910 | 2 |
| #14545962 | 2 |
| #14545865 | 2 |
| #14545863 | 2 |
| #14545557 | 2 |
| #12987 | 17 |