Finite Group DatabasebetaFinite Group DatabasebetaOrder 3776.
112 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 39 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. C2×Dic236 | C2 | semidirect |
| 4. #14273692 | C2 | semidirect |
| 5. Dic59⋊C8 | C2 | semidirect |
| 6. #14273650 | C2 | semidirect |
| 52. C59 | #464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic236 | 2 |
| C2×#11745670 | 2 |
| #14273714 | 2 |
| #14273692 | 2 |
| Dic59⋊C8 | 2 |
| #14273650 | 2 |
| #102×C59 | 2 |
| #464 | 59 |