Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
244 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 7. C29×C4⋊Q8 | C4 | semidirect |
| 12. #11745252 | C4 | semidirect |
| 15. #11745231 | C4 | semidirect |
| 28. C4×#1181 | Q8 | semidirect |
| 86. C4⋊Q8 | #1181 | semidirect |
| 99. C29 | #1995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272168 | 2 |
| #14272099 | 2 |
| #14272033 | 2 |
| #14271718 | 2 |
| #1995 | 29 |