Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#11745183 | C2 | semidirect |
| 4. C2×#11745184 | C2 | semidirect |
| 5. #14270931 | C2 | semidirect |
| 6. #14270927 | C2 | semidirect |
| 11. C29×#137 | C4 | semidirect |
| 127. #137 | Dic29 | semidirect |
| 144. C29 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| #14271164 | 2 |
| C2×#11745183 | 2 |
| C2×#11745184 | 2 |
| #14270931 | 2 |
| #14270927 | 2 |
| C2×C29×#137 | 2 |
| #1908 | 29 |