Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
340 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 89 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×C22⋊#6597 | C2 | semidirect |
| 3. #14270896 | C2 | semidirect |
| 4. C29×#380 | C2 | semidirect |
| 7. C22×D116 | C4 | semidirect |
| 12. #11745292 | C4 | semidirect |
| 15. C2×C4⋊Dic29 | C4 | semidirect |
| 17. C29×#95 | C22 | semidirect |
| 19. C22⋊#6597 | C22 | semidirect |
| 104. #380 | D29 | semidirect |
| 128. #95 | C2×D29 | semidirect |
| 129. C29 | #1519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745292 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270896 | 2 |
| C29×#380 | 2 |
| #1519 | 29 |