Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
178 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 53 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×Dic232 | C2 | semidirect |
| 2. C2×#11745177 | C2 | semidirect |
| 5. #14271541 | C2 | semidirect |
| 6. #14270938 | C2 | semidirect |
| 96. C29 | #2251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic232 | 2 |
| C2×#11745177 | 2 |
| C2×#11745175 | 2 |
| #14271546 | 2 |
| #14271541 | 2 |
| #14270938 | 2 |
| C2×C29×SD32 | 2 |
| #2251 | 29 |