Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C5 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C5×#217 |
| Hall | C3×C5 ⋊ C4×C22⋊C4 |
| Sylow | C3 ⋊ C4×C5×C22⋊C4 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#67678, C5×#67677, #14276865, … |
| maximal normal subgroup of | C5×#67678, C5×#67677, #14276865, … |
| maximal quotient of | C4×C5×C3⋊#95, C5×#72127, C5×#71534, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4903);