Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C5×(C2×D3)⋊C8 |
| Fitting | C22×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C22⋊C8 |
| Sylow | C3 ⋊ C2×C5×C22⋊C8 |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#67522, #14277528, C5×#68599, … |
| maximal normal subgroup of | C5×#67522, #14277528, C5×#68599, … |
| maximal quotient of | C2×C5×#4468, C2×C5×#4469, C5×#70782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4802);