Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
872 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 233 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 |
|---|---|---|
| 2. C2×#11745249 | C2 | semidirect |
| 3. #14271064 | C2 | semidirect |
| 4. #14271063 | C2 | semidirect |
| 5. #14271022 | C2 | semidirect |
| 6. C4×C22⋊Dic29 | C2 | semidirect |
| 7. #14271010 | C2 | semidirect |
| 8. C29×#380 | C2 | semidirect |
| 12. C2×#90805 | C4 | semidirect |
| 82. C2×Dic29 | #41 | semidirect |
| 85. Dic58 | C22⋊C4 | semidirect |
| 113. #380 | D29 | semidirect |
| 142. C29 | #2341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90805 | 2 |
| C2×#11745249 | 2 |
| #14271064 | 2 |
| #14271063 | 2 |
| #14271022 | 2 |
| C4×C22⋊Dic29 | 2 |
| #14271010 | 2 |
| C29×#380 | 2 |
| #2341 | 29 |