Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 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. C2×Q8×C11⋊C5 | C2 | semidirect |
| 3. #4326⋊C5 | C2 | semidirect |
| 4. #4325⋊C5 | C2 | semidirect |
| 5. #4318⋊C5 | C2 | semidirect |
| 15. #66995 | C5 | semidirect |
| 22. C2×Q8×C11 | C2×C5 | semidirect |
| 24. #4326 | C2×C5 | semidirect |
| 25. #4325 | C2×C5 | semidirect |
| 26. #4318 | C2×C5 | semidirect |
| 45. C11⋊C5 | #137 | semidirect |
| 72. C2×Q8 | AGL(1,𝔽11) | semidirect |
| 76. C11 | C5×#137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×C11⋊C5 | 2 |
| #4339⋊C5 | 2 |
| #4326⋊C5 | 2 |
| #4325⋊C5 | 2 |
| #4318⋊C5 | 2 |
| #66995 | 5 |
| C5×#137 | 11 |