Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14271257 | C2 | semidirect |
| 4. #14270966 | C2 | semidirect |
| 6. #14270938 | C2 | semidirect |
| 7. C29×#366 | C2 | semidirect |
| 19. #11745148 | C4 | semidirect |
| 32. Dic116 | C2×C4 | semidirect |
| 35. C16×C29 | C2×C4 | semidirect |
| 67. #366 | D29 | semidirect |
| 87. C29 | #2175 | semidirect |
| 104. C16 | C4×D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745148 | 2 |
| #14271257 | 2 |
| #14271245 | 2 |
| #14270966 | 2 |
| #14270963 | 2 |
| #14270938 | 2 |
| C29×#366 | 2 |
| #2175 | 29 |