Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1432 conjugacy classes of subgroups; only the 436 normal subgroups are shown.
This group has 1432 conjugacy classes of subgroups — too many to draw. Only its 436 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. C3×#66146 | C2 | semidirect |
| 4. #11748625 | C2 | semidirect |
| 9. C2×C5×#239 | C4 | semidirect |
| 10. C2×C5×D3×Q8 | C4 | semidirect |
| 20. #66146 | D3 | semidirect |
| 73. C2×#239 | Dic5 | semidirect |
| 74. C2×D3×Q8 | Dic5 | semidirect |
| 203. C3×C5 | #2884 | semidirect |
| 238. C5 | #82556 | semidirect |
| 249. C3 | #10615850 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#1007 | 2 |
| #11756571 | 2 |
| C3×#66146 | 2 |
| #11748625 | 2 |
| #10615850 | 3 |
| #82556 | 5 |