Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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. #11745252 | C4 | semidirect |
| 17. #11745250 | C4 | semidirect |
| 33. C42×C29 | Q8 | semidirect |
| 45. C4×Dic29 | Q8 | semidirect |
| 107. C29 | #1994 | semidirect |
| 135. C42 | Dic58 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271716 | 2 |
| #14271186 | 2 |
| C42×Dic29 | 2 |
| #14270924 | 2 |
| #14270923 | 2 |
| #14270922 | 2 |
| C29×#339 | 2 |
| #1994 | 29 |