Finite Group Databasebeta

← Group #487885

Character table — Group #487885

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244222242244444444444444442244444444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1111111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1
χ61111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-11111-1-1
χ81111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-1-1-111-111-1-111-1-111-1-111-1-1111-1-11-11-11-111-1-111-1-11-1
χ10111111-1-1-1-111-111-1-111-1-111-1-111-1-111-11-1-111-11-1-1-111-1-111-11
χ11111111-1-1-1-111-111-1-1-1-111-1-11111-1-1111-1-11-1-11-11-1-111-1-1111-1
χ12111111-1-1-1-111-111-1-1-1-111-1-11111-1-111-11-1-11-11-1111-1-111-1-1-11
χ13111111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111111-111-11-1-1111-1-1-1-111-11
χ14111111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111-111-111-1-11-1-11111-1-11-1
χ15111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-11111-1-1-11
χ16111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111-111-11-111-111-1-1-1-1111-1
χ172222222222-2-2200-2-2000022220000-220000000-2-20000000000
χ182222222222-2-2200-2-20000-2-2-2-20000-220000000220000000000
χ1922222222-2-2222002-2222200000000-2-200000-2-2000000000000
χ2022222222-2-2222002-2-2-2-2-200000000-2-20000022000000000000
χ2122222222-2-2-2-2222-2200000000-2-2-2-22-20020000000000000000
χ2222222222-2-2-2-22-2-2-220000000022222-200-20000000000000000
χ23222222-2-22222-200-2222-2-200000000-2-200000-22000000000000
χ24222222-2-22222-200-22-2-22200000000-2-2000002-2000000000000
χ25222222-2-222-2-2-2222-200000000-2-2222-200-20000000000000000
χ26222222-2-222-2-2-2-2-22-20000000022-2-22-20020000000000000000
χ27222222-2-2-2-2-2-2-20022000022-2-20000-220000000-220000000000
χ28222222-2-2-2-2-2-2-200220000-2-2220000-2200000002-20000000000
χ294444-4-4440000-4000000000000000000220-2-200000000000000
χ304444-4-4440000-4000000000000000000-2-202200000000000000
χ314444-4-4-4-4000040000000000000000002-20-2200000000000000
χ324444-4-4-4-400004000000000000000000-2202-200000000000000
χ334-44-4004-40000000002i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000
χ344-44-4004-40000000002i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000
χ354-44-4004-4000000000−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000
χ364-44-4004-4000000000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000
χ374-44-400-440000000002i−2i−2i2i2i−2i−2i2i2-2-22000000000000000000000
χ384-44-400-440000000002i−2i−2i2i−2i2i2i−2i-222-2000000000000000000000
χ394-44-400-44000000000−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000000
χ404-44-400-44000000000−2i2i2i−2i−2i2i2i−2i2-2-22000000000000000000000
χ414-4-444-400004-40000000000000000000000000000000022−220000
χ424-4-444-400004-400000000000000000000000000000000−22220000
χ434-4-444-40000-44000000000000000000000000000000000022−2200
χ444-4-444-40000-440000000000000000000000000000000000−222200
χ454-4-44-44004-40000000000000000000000000000002-22-2000000
χ464-4-44-44004-4000000000000000000000000000000-22-22000000
χ474-4-44-4400-440000000000000000000000000000002-2-22000000
χ484-4-44-4400-44000000000000000000000000000000-222-2000000
χ4988-8-80000000004-400000000000000000000000000000000000
χ5088-8-8000000000-4400000000000000000000000000000000000

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