Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#11745158 | C2 | semidirect |
| 5. #14271068 | C2 | semidirect |
| 6. #14270917 | C2 | semidirect |
| 7. C29×#340 | C2 | semidirect |
| 19. C2×#90773 | C4 | semidirect |
| 47. C2×Dic58 | C2×C4 | semidirect |
| 50. C2×C8×C29 | C2×C4 | semidirect |
| 90. C2×Dic29 | SD16 | semidirect |
| 131. #340 | D29 | semidirect |
| 159. C29 | #1877 | semidirect |
| 188. C2×C8 | C4×D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90773 | 2 |
| C2×#11745255 | 2 |
| C2×#11745158 | 2 |
| C2×#11745157 | 2 |
| #14271068 | 2 |
| #14270917 | 2 |
| C29×#340 | 2 |
| #1877 | 29 |