Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
232 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 1. #14271206 | C2 | semidirect |
| 5. #14270931 | C2 | semidirect |
| 6. #14270928 | C2 | semidirect |
| 7. C29×#405 | C2 | semidirect |
| 17. #11745171 | C4 | semidirect |
| 99. #405 | D29 | semidirect |
| 124. C29 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271206 | 2 |
| #14271167 | 2 |
| C2×#11745169 | 2 |
| C2×#11745171 | 2 |
| #14270931 | 2 |
| #14270928 | 2 |
| C29×#405 | 2 |
| #1931 | 29 |