Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
224 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 11. C29×#97 | C4 | semidirect |
| 12. #11745167 | C4 | semidirect |
| 13. #11745166 | C4 | semidirect |
| 14. #11745165 | C4 | semidirect |
| 77. #97 | Dic29 | semidirect |
| 79. C29 | #1773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745167 | 2 |
| #14271201 | 2 |
| #14271118 | 2 |
| #14270923 | 2 |
| C2×C29×#97 | 2 |
| #1773 | 29 |