Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. C2×#11745166 | C2 | semidirect |
| 3. #14270968 | C2 | semidirect |
| 4. #14270965 | C2 | semidirect |
| 5. C2×C29×M32 | C2 | semidirect |
| 11. #11745266 | C4 | semidirect |
| 33. Dic116 | C2×C4 | semidirect |
| 35. D232 | C2×C4 | semidirect |
| 70. C2×M32 | D29 | semidirect |
| 91. C29 | #2139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745266 | 2 |
| C2×#11745166 | 2 |
| #14270968 | 2 |
| #14270965 | 2 |
| C2×C29×M32 | 2 |
| #2139 | 29 |