Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #14270990 | C2 | semidirect |
| 5. #14270989 | C2 | semidirect |
| 6. #14270988 | C2 | semidirect |
| 7. C29×#367 | C2 | semidirect |
| 19. #11745146 | C4 | semidirect |
| 33. C16×C29 | C2×C4 | semidirect |
| 34. #90768 | C2×C4 | semidirect |
| 64. #367 | D29 | semidirect |
| 83. C29 | #2159 | semidirect |
| 98. C16 | C4×D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745146 | 2 |
| #14271200 | 2 |
| #107×D29 | 2 |
| #14270990 | 2 |
| #14270989 | 2 |
| #14270988 | 2 |
| C29×#367 | 2 |
| #2159 | 29 |