Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
246 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 4. C2×M16×C29 | C4 | semidirect |
| 8. #11745179 | C4 | semidirect |
| 54. C2×M16 | Dic29 | semidirect |
| 59. C29 | #1297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊Dic29 | 2 |
| C29×#407 | 2 |
| #1297 | 29 |