Finite Group DatabasebetaFinite Group DatabasebetaOrder 3776.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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×#11745670 | C2 | semidirect |
| 2. C2×#11745664 | C2 | semidirect |
| 3. #14273706 | C2 | semidirect |
| 4. #14273660 | C2 | semidirect |
| 5. #14273650 | C2 | semidirect |
| 6. #14273648 | C2 | semidirect |
| 36. C59⋊C8 | D4 | semidirect |
| 56. C59 | #468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745670 | 2 |
| C2×#11745664 | 2 |
| #14273706 | 2 |
| #14273660 | 2 |
| #14273650 | 2 |
| #14273648 | 2 |
| #121×C59 | 2 |
| #468 | 59 |