Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
148 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 57 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. C3×C5×#367 | C2 | semidirect |
| 3. #11746320 | C2 | semidirect |
| 8. Dic120 | C4 | semidirect |
| 10. D240 | C4 | semidirect |
| 14. C5×#367 | D3 | semidirect |
| 25. C3×#367 | D5 | semidirect |
| 60. #367 | D15 | semidirect |
| 115. C3×C5 | #1418 | semidirect |
| 136. C5 | #67580 | semidirect |
| 143. C3 | #10598071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751005 | 2 |
| C3×C5×#367 | 2 |
| #11746320 | 2 |
| #10598071 | 3 |
| #67580 | 5 |