Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
412 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C22⋊C4×Dic29 | C2 | semidirect |
| 4. #14270930 | C2 | semidirect |
| 5. C29×#342 | C2 | semidirect |
| 8. C22×C4×D29 | C4 | semidirect |
| 12. C2×#90781 | C4 | semidirect |
| 13. C2×#90779 | C4 | semidirect |
| 15. C2×C4×Dic29 | C4 | semidirect |
| 19. #11745154 | C4 | semidirect |
| 41. C22⋊C4×C29 | C2×C4 | semidirect |
| 43. C22⋊Dic29 | C2×C4 | semidirect |
| 60. C22×D29 | C42 | semidirect |
| 79. C2×Dic29 | C42 | semidirect |
| 110. Dic29 | #99 | semidirect |
| 115. #342 | D29 | semidirect |
| 138. C29 | C4×#99 | semidirect |
| 164. C22⋊C4 | C4×D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745243 | 2 |
| C2×#11745154 | 2 |
| C22⋊C4×Dic29 | 2 |
| #14270930 | 2 |
| C29×#342 | 2 |
| C4×#99 | 29 |