Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6817 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C4×#235 |
| Sylow | C3 ⋊ C4×#709 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14281559, #14281568, #14281587, … |
| maximal normal subgroup of | #14281559, #14281568, #14281587, … |
| maximal quotient of | C4×#91815, C4×#91761, C42×#1220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10428);