Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
564 conjugacy classes of subgroups; only the 373 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 373 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. #14271119 | C2 | semidirect |
| 3. C4×#90777 | C2 | semidirect |
| 11. C2×#90777 | C4 | semidirect |
| 15. #11745151 | C22 | semidirect |
| 16. C4×#6597 | C22 | semidirect |
| 29. #90777 | C2×C4 | semidirect |
| 30. C2×#6597 | C2×C4 | semidirect |
| 78. C29 | #2873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90777 | 2 |
| #14271119 | 2 |
| C4×#90777 | 2 |
| C2×C29×#117 | 2 |
| #2873 | 29 |