Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
404 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14270926 | C2 | semidirect |
| 16. #11745286 | C4 | semidirect |
| 36. C2×Dic58 | C2×C4 | semidirect |
| 44. C4⋊Dic29 | C2×C4 | semidirect |
| 84. C22×C29 | #103 | semidirect |
| 125. C29 | #1872 | semidirect |
| 189. C22 | #11745164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745286 | 2 |
| C22×C4⋊Dic29 | 2 |
| C2×#11745164 | 2 |
| #14270926 | 2 |
| C2×C29×C22⋊C8 | 2 |
| #1872 | 29 |