Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 10. C29×#101 | C4 | semidirect |
| 12. #11745184 | C4 | semidirect |
| 88. #101 | Dic29 | semidirect |
| 91. C29 | #1394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745184 | 2 |
| #14271070 | 2 |
| C2×C29×#101 | 2 |
| #1394 | 29 |