Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. C2×#11745172 | C2 | semidirect |
| 5. #14271068 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 7. C29×#428 | C2 | semidirect |
| 116. #428 | D29 | semidirect |
| 147. C29 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271739 | 2 |
| C2×#11745173 | 2 |
| #14271162 | 2 |
| C2×#11745172 | 2 |
| #14271068 | 2 |
| #14270922 | 2 |
| C29×#428 | 2 |
| #2038 | 29 |