Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
120 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 1. C5×C11×C4⋊C4 | C2 | semidirect |
| 5. C11×C4⋊Dic5 | C2 | semidirect |
| 6. C11×#683 | C2 | semidirect |
| 7. C4×C11×Dic5 | C2 | semidirect |
| 28. C11×C4⋊C4 | D5 | semidirect |
| 33. #4044 | C11 | direct (N × H) |
| 45. C5×C4⋊C4 | C2×C11 | semidirect |
| 49. C4⋊Dic5 | C2×C11 | semidirect |
| 50. #683 | C2×C11 | semidirect |
| 51. C4×Dic5 | C2×C11 | semidirect |
| 52. C5×C11 | #126 | semidirect |
| 87. C4⋊C4 | D5×C11 | semidirect |
| 92. C11 | #4044 | direct (N × H) |
| 104. C5 | C11×#126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×C11×C4⋊C4 | 2 |
| C11×#685 | 2 |
| C11×C4⋊Dic5 | 2 |
| C11×#683 | 2 |
| C4×C11×Dic5 | 2 |
| C11×#126 | 5 |
| #4044 | 11 |