Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 77 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. C22×#6597 | C4 | semidirect |
| 10. C29×#95 | C4 | semidirect |
| 11. #11745179 | C4 | semidirect |
| 103. #95 | Dic29 | semidirect |
| 104. C29 | #1289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#6597 | 2 |
| #14271023 | 2 |
| C29×#380 | 2 |
| #1289 | 29 |