Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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×#11745164 | C2 | semidirect |
| 4. #14271068 | C2 | semidirect |
| 5. #14270925 | C2 | semidirect |
| 6. #14270917 | C2 | semidirect |
| 18. C2×#90783 | C4 | semidirect |
| 47. C2×Dic58 | C2×C4 | semidirect |
| 61. C2×#6597 | C2×C4 | semidirect |
| 95. C2×Dic29 | SD16 | semidirect |
| 159. C29 | #1877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90783 | 2 |
| C2×D4×Dic29 | 2 |
| C2×#11745164 | 2 |
| #14271068 | 2 |
| #14270925 | 2 |
| #14270917 | 2 |
| C2×C29×#102 | 2 |
| #1877 | 29 |