Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14271067 | C2 | semidirect |
| 3. #14271057 | C2 | semidirect |
| 4. #14271051 | C2 | semidirect |
| 6. C22⋊C4×Dic29 | C2 | semidirect |
| 7. C4×C22⋊Dic29 | C2 | semidirect |
| 8. #14271008 | C2 | semidirect |
| 20. #11745298 | C4 | semidirect |
| 50. C2×Dic58 | C2×C4 | semidirect |
| 55. C22⋊Dic29 | C2×C4 | semidirect |
| 56. C22⋊Dic29 | C2×C4 | semidirect |
| 61. C4×Dic29 | C2×C4 | semidirect |
| 159. C29 | #2372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745298 | 2 |
| #14271067 | 2 |
| #14271057 | 2 |
| #14271051 | 2 |
| #14271043 | 2 |
| C22⋊C4×Dic29 | 2 |
| C4×C22⋊Dic29 | 2 |
| #14271008 | 2 |
| C29×#386 | 2 |
| #2372 | 29 |