Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14271023 | C2 | semidirect |
| 4. #14270929 | C2 | semidirect |
| 5. C29×#380 | C2 | semidirect |
| 8. C22×C4×D29 | C4 | semidirect |
| 17. C2×#90781 | C4 | semidirect |
| 19. C2×#90779 | C4 | semidirect |
| 20. C2×C4×Dic29 | C4 | semidirect |
| 74. C22×D29 | C4⋊C4 | semidirect |
| 101. C2×Dic29 | C4⋊C4 | semidirect |
| 131. C4×C29 | #99 | semidirect |
| 139. #380 | D29 | semidirect |
| 169. C29 | #1799 | semidirect |
| 280. C4 | #11745154 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D29 | 2 |
| C2×#11745154 | 2 |
| #14271023 | 2 |
| #14270929 | 2 |
| C29×#380 | 2 |
| #1799 | 29 |