Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
220 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 77 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. #11746756 | C2 | semidirect |
| 3. #11746753 | C2 | semidirect |
| 20. C3×C5×D8 | C8 | semidirect |
| 62. C5×D8 | C3⋊C8 | semidirect |
| 85. C3×D8 | #170 | semidirect |
| 143. D8 | C3⋊#170 | semidirect |
| 151. C3×C5 | #1331 | semidirect |
| 183. C5 | #67763 | semidirect |
| 194. C3 | #10598801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D8×Dic5 | 2 |
| #11746756 | 2 |
| #11746753 | 2 |
| #10598801 | 3 |
| #67763 | 5 |