Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 9. Q8×Dic29 | C4 | semidirect |
| 10. #11745306 | C4 | semidirect |
| 15. #11745250 | C4 | semidirect |
| 17. #11745249 | C4 | semidirect |
| 130. C29 | #1506 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271715 | 2 |
| #14271217 | 2 |
| #14271008 | 2 |
| #14270901 | 2 |
| #14270900 | 2 |
| #14270899 | 2 |
| C29×#328 | 2 |
| #1506 | 29 |