Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #204 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#904 |
| Fitting | C22×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#135 |
| Sylow | C3 ⋊ C2×C5×#135 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#68695, C5×#68946, #14300833, … |
| maximal normal subgroup of | C5×#68695, C5×#68946, #14300833, … |
| maximal quotient of | C2×C5×#5113, C2×C5×#5106, C2×C4×C5×D24, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10321);