Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
162 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#90777 | C4 | semidirect |
| 8. C22×#6597 | C4 | semidirect |
| 9. C29×#101 | C4 | semidirect |
| 82. #101 | Dic29 | semidirect |
| 88. C29 | #1395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271137 | 2 |
| #14271130 | 2 |
| C29×#413 | 2 |
| #1395 | 29 |