Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
272 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 16. C29×#97 | C4 | semidirect |
| 20. C4⋊#6597 | C4 | semidirect |
| 63. C8×C29 | C4⋊C4 | semidirect |
| 102. #97 | Dic29 | semidirect |
| 105. C29 | #1771 | semidirect |
| 150. C8 | C4⋊Dic29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#6597 | 2 |
| C2×#11745163 | 2 |
| C2×C8×Dic29 | 2 |
| C4×C4⋊Dic29 | 2 |
| #14270917 | 2 |
| C2×C29×#97 | 2 |
| #1771 | 29 |