Finite Group Databasebeta

← Group #488572

Character table — Group #488572

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224444448888448888882244444416161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-111-1-11111-1-111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1
χ6111111111111-1-111-1-11111-1-111-1-1-1-11-11-111-1-1-1-1-1-11111-1-111
χ7111111111111-1-111-1-11111-1-111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-111
χ8111111111111-1-111-1-11111-1-111-1-1-1-1-11-11-1-111-1-1-1-1111111-1-1
χ91111111-1-11-1-1111-1-1-11111-11-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111-1-11-1-1111-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111-1-11-1-1111-1-1-11111-11-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ121111111-1-11-1-1111-1-1-11111-11-1-111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ131111111-1-11-1-1-1-11-11111111-1-1-1-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ141111111-1-11-1-1-1-11-11111111-1-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ151111111-1-11-1-1-1-11-11111111-1-1-1-1-111-11-1111-1-111-1-1-1-111-111-1
χ161111111-1-11-1-1-1-11-11111111-1-1-1-1-111-11-1111-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ18222222222222-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ192222222-2-22-2-2222-2-2-2-2-2-2-2-2222-2-22200000000000000000000
χ202222222-2-22-2-2-2-22-222-2-2-2-22-22222-2-200000000000000000000
χ21222222-222-2-2-222-22220000-2-2000000000000002−22−22−22−20000
χ22222222-222-2-2-222-22220000-2-200000000000000−22−22−22−220000
χ23222222-222-2-2-2-2-2-22-2-2000022000000000000002−22−2−22−220000
χ24222222-222-2-2-2-2-2-22-2-200002200000000000000−22−222−22−20000
χ25222222-2-2-2-22222-2-2-2-200002-2000000000000002−2−222−2−220000
χ26222222-2-2-2-22222-2-2-2-200002-200000000000000−222−2−222−20000
χ27222222-2-2-2-222-2-2-2-2220000-22000000000000002−2−22−222−20000
χ28222222-2-2-2-222-2-2-2-2220000-2200000000000000−222−22−2−220000
χ292222-2-222222-200-2-20022-2-2002-20000020-2002-2000000000000
χ302222-2-222222-200-2-20022-2-2002-200000-20200-22000000000000
χ312222-2-222222-200-2-200-2-22200-22000020-202-200000000000000
χ322222-2-222222-200-2-200-2-22200-220000-2020-2200000000000000
χ332222-2-22-2-22-2200-220022-2-200-220000020-200-22000000000000
χ342222-2-22-2-22-2200-220022-2-200-2200000-202002-2000000000000
χ352222-2-22-2-22-2200-2200-2-222002-2000020-20-2200000000000000
χ362222-2-22-2-22-2200-2200-2-222002-20000-20202-200000000000000
χ374444-4-4-444-4-44004-40000000000000000000000000000000000
χ384444-4-4-4-4-4-44-400440000000000000000000000000000000000
χ3944-4-44-40000004-4000022−2222−22000022−220000000000000000000000
χ4044-4-44-40000004-40000−2222−22220000−22220000000000000000000000
χ4144-4-44-4000000-44000022−2222−220000−22220000000000000000000000
χ4244-4-44-4000000-440000−2222−2222000022−220000000000000000000000
χ4344-4-4-4400000000004i−4i22−22−22220000002i2−2i200000000000000000000
χ4444-4-4-4400000000004i−4i−222222−22000000−2i22i200000000000000000000
χ4544-4-4-440000000000−4i4i22−22−2222000000−2i22i200000000000000000000
χ4644-4-4-440000000000−4i4i−222222−220000002i2−2i200000000000000000000
χ478-88-80008i−8i00000000000000000000000000000000000000000
χ488-88-8000−8i8i00000000000000000000000000000000000000000
χ498-8-8800800-80000000000000000000000000000000000000000
χ508-8-8800-80080000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).