Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14271217 | C2 | semidirect |
| 3. #14271213 | C2 | semidirect |
| 4. #14270887 | C2 | semidirect |
| 5. #14270886 | C2 | semidirect |
| 6. #14270886 | C2 | semidirect |
| 7. C29×#323 | C2 | semidirect |
| 119. #323 | D29 | semidirect |
| 146. C29 | #1469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745247 | 2 |
| #14271217 | 2 |
| #14271213 | 2 |
| #14270887 | 2 |
| #14270886 | 2 |
| C29×#323 | 2 |
| #1469 | 29 |