Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
346 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 77 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. C4×C22⋊Dic29 | C2 | semidirect |
| 3. #14270898 | C2 | semidirect |
| 4. C29×#407 | C2 | semidirect |
| 7. C22×D116 | C4 | semidirect |
| 12. #11745292 | C4 | semidirect |
| 15. C2×C4⋊Dic29 | C4 | semidirect |
| 18. C29×C22⋊C8 | C22 | semidirect |
| 19. #11745179 | C22 | semidirect |
| 98. #407 | D29 | semidirect |
| 121. C22⋊C8 | C2×D29 | semidirect |
| 123. C29 | #1507 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745292 | 2 |
| C4×C22⋊Dic29 | 2 |
| #14270898 | 2 |
| C29×#407 | 2 |
| #1507 | 29 |