Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
212 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 17. #11745172 | C4 | semidirect |
| 117. C29 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271206 | 2 |
| #14271171 | 2 |
| C2×#11745164 | 2 |
| C2×#11745172 | 2 |
| #14270931 | 2 |
| #14270928 | 2 |
| C29×#405 | 2 |
| #1930 | 29 |