Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×Dic5×C3⋊C8 |
| derived, Hall | C3×C5 ⋊ C2×C4×C8 |
| Sylow | C5 ⋊ C2×C4×C3⋊C8 |
| Sylow | C3 ⋊ C2×C8×Dic5 |
324 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 200 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
192 conjugacy classes — view the full character table.
| maximal subgroup of | #14276695, #14276759, C2×C3⋊C8×#170, … |
| maximal normal subgroup of | #14276695, #14276759, C2×C3⋊C8×#170, … |
| maximal quotient of | C2×C3⋊C8×#168, C2×#11745831, C3⋊C8×#681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2510);