Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14271929 | C2 | semidirect |
| 3. #14271179 | C2 | semidirect |
| 4. #14271160 | C2 | semidirect |
| 5. #14271129 | C2 | semidirect |
| 6. #14270935 | C2 | semidirect |
| 7. C29×#341 | C2 | semidirect |
| 16. #11745271 | C4 | semidirect |
| 18. #11745270 | C4 | semidirect |
| 119. #341 | D29 | semidirect |
| 145. C29 | #1881 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271963 | 2 |
| #14271929 | 2 |
| #14271179 | 2 |
| #14271160 | 2 |
| #14271129 | 2 |
| #14270935 | 2 |
| C29×#341 | 2 |
| #1881 | 29 |