Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 3. C2×#11745306 | C2 | semidirect |
| 5. C2×#11745172 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 7. C29×#419 | C2 | semidirect |
| 125. #419 | D29 | semidirect |
| 154. C29 | #2005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745304 | 2 |
| #14271739 | 2 |
| C2×#11745306 | 2 |
| C2×#11745173 | 2 |
| C2×#11745172 | 2 |
| #14270922 | 2 |
| C29×#419 | 2 |
| #2005 | 29 |