Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
180 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 50 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. #11745218 | C4 | semidirect |
| 12. C29×#97 | C4 | semidirect |
| 14. #11745151 | C4 | semidirect |
| 75. #97 | #1181 | semidirect |
| 78. C29 | #1295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272122 | 2 |
| #14272107 | 2 |
| #97×D29 | 2 |
| #1295 | 29 |