Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1432 conjugacy classes of subgroups; only the 527 normal subgroups are shown.
This group has 1432 conjugacy classes of subgroups — too many to draw. Only its 527 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. #11756571 | C2 | semidirect |
| 3. #11751341 | C2 | semidirect |
| 6. C2×C3×C5×#41 | C4 | semidirect |
| 8. C22×C3×C5×Q8 | C4 | semidirect |
| 34. C2×C5×#41 | Dic3 | semidirect |
| 36. C22×C5×Q8 | Dic3 | semidirect |
| 54. C2×C3×#41 | Dic5 | semidirect |
| 56. C22×C3×Q8 | Dic5 | semidirect |
| 110. C2×#41 | Dic15 | semidirect |
| 112. C22×Q8 | Dic15 | semidirect |
| 153. C3×C5 | #2884 | semidirect |
| 181. C5 | #84119 | semidirect |
| 190. C3 | #10615850 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×2−1+4 | 2 |
| #11756571 | 2 |
| #11751341 | 2 |
| #10615850 | 3 |
| #84119 | 5 |