Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
208 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 208 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 |
|---|---|---|
| 15. C29×#107 | C4 | semidirect |
| 16. #11745166 | C4 | semidirect |
| 17. #11745156 | C4 | semidirect |
| 84. #107 | #1181 | semidirect |
| 89. C29 | #1945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745212 | 2 |
| #14272170 | 2 |
| C2×C8×#1181 | 2 |
| #14272033 | 2 |
| #14271200 | 2 |
| #1945 | 29 |