Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
292 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×C5×Q8×C11 | C2 | semidirect |
| 2. C11×#713 | C2 | semidirect |
| 3. Q8×D5×C11 | C2 | semidirect |
| 4. C11×#709 | C2 | semidirect |
| 19. C2×Q8×C11 | D5 | semidirect |
| 20. #4147 | C11 | direct (N × H) |
| 30. C2×C5×Q8 | C2×C11 | semidirect |
| 31. #713 | C2×C11 | semidirect |
| 32. Q8×D5 | C2×C11 | semidirect |
| 33. #709 | C2×C11 | semidirect |
| 34. C5×C11 | 2−1+4 | semidirect |
| 56. C2×Q8 | D5×C11 | semidirect |
| 57. C11 | #4147 | direct (N × H) |
| 67. C5 | C11×2−1+4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×Q8×C11 | 2 |
| C11×#713 | 2 |
| Q8×D5×C11 | 2 |
| C11×#709 | 2 |
| C11×2−1+4 | 5 |
| #4147 | 11 |