Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
152 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14270985 | C2 | direct (N × H) |
| 12. #11745160 | C4 | semidirect |
| 14. C2×#90768 | C4 | semidirect |
| 28. #90768 | C2×C4 | semidirect |
| 59. C2×C29 | #365 | semidirect |
| 71. C29 | C2×#365 | semidirect |
| 111. C2 | #14270985 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745160 | 2 |
| C2×#11745167 | 2 |
| #14270985 | 2 |
| C2×C29×#106 | 2 |
| C2×#365 | 29 |