Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. #14270985 | C2 | semidirect |
| 4. #14270980 | C2 | semidirect |
| 5. #14270978 | C2 | semidirect |
| 7. C29×#365 | C2 | semidirect |
| 62. #365 | D29 | semidirect |
| 80. C29 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271422 | 2 |
| #14271210 | 2 |
| #14270985 | 2 |
| #14270980 | 2 |
| #14270978 | 2 |
| #14270944 | 2 |
| C29×#365 | 2 |
| #2239 | 29 |