Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14271447 | C2 | semidirect |
| 5. #14271372 | C2 | semidirect |
| 8. #14271269 | C2 | semidirect |
| 9. #14271267 | C2 | semidirect |
| 170. C29 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271715 | 2 |
| C2×#11745249 | 2 |
| #14271493 | 2 |
| #14271447 | 2 |
| #14271372 | 2 |
| #14271321 | 2 |
| #14271318 | 2 |
| #14271269 | 2 |
| #14271267 | 2 |
| #14271217 | 2 |
| C29×#483 | 2 |
| #3113 | 29 |