Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1432 conjugacy classes of subgroups; only the 294 normal subgroups are shown.
This group has 1432 conjugacy classes of subgroups — too many to draw. Only its 294 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. #11756991 | C2 | semidirect |
| 3. C3×#66262 | C2 | semidirect |
| 4. #11751817 | C2 | semidirect |
| 5. #11751815 | C2 | semidirect |
| 7. C2×#6821 | C4 | semidirect |
| 8. C2×C5×D3×Q8 | C4 | semidirect |
| 14. C2×D15⋊Q8 | C4 | semidirect |
| 15. C2×#6769 | C4 | semidirect |
| 25. #66262 | D3 | semidirect |
| 107. C2×D3×Q8 | AGL(1,𝔽5) | semidirect |
| 302. C3×C5 | #2884 | semidirect |
| 353. C5 | #82556 | semidirect |
| 368. C3 | #10617514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92029 | 2 |
| #11756991 | 2 |
| C3×#66262 | 2 |
| #11751817 | 2 |
| #11751815 | 2 |
| #10617514 | 3 |
| #82556 | 5 |