Finite Group Databasebeta

← Group #511774

Character table — Group #511774

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222244444444444444444444444444444488888888888888816161616323232323232
order12222244442222222222224444444444444444442224444444444442444444488
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-111-1-1
χ61111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-111-1-11-1-111-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-111-1-1-111-1-11-11-11
χ11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1111-1-111-1-11-11
χ12111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-111-1-111-11-1
χ13111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-11-1-11-111-1-11
χ14111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-111-11-1-111-1
χ15111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-111-1-1-1-1-1-111-1-1111-1-11-11-111-1
χ16111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-111-1-1-1-1-1-111-1-111-111-11-11-1-11
χ17222222222200000000-2-2-2-20000000022222222222-2-2-2-2-2-2000000000000000000
χ18222222222200000000-2-2-2-200000000-2-2-2-2-2-2-2-222222-2-222000000000000000000
χ1922222222220000222222-2-20000222200000000-2-2-2002-2000000-2-2-2-20000000000
χ2022222222220000-2-2-2-222-2-20000-2-2-2-200000000-2-2-2002-200000022220000000000
χ21222222222222220000-2-2222222000000000000-2-2-200-2200-2-2-2-200000000000000
χ222222222222-2-2-2-20000-2-222-2-2-2-2000000000000-2-2-200-2200222200000000000000
χ23222222-2-2-2-200000000-2-2-2-2000000002222-2-2-2-222-2-2-22222000000000000000000
χ24222222-2-2-2-200000000-2-2-2-200000000-2-2-2-2222222-22222-2-2000000000000000000
χ25222222-2-2-2-20000222222-2-20000-2-2-2-200000000-2-2200-22000000-2-2220000000000
χ26222222-2-2-2-20000-2-2-2-222-2-20000222200000000-2-2200-2200000022-2-20000000000
χ27222222-2-2-2-222220000-2-222-2-2-2-2000000000000-2-22002-200-2-22200000000000000
χ28222222-2-2-2-2-2-2-2-20000-2-2222222000000000000-2-22002-20022-2-200000000000000
χ292-2-22-220000000000002-22-222-2-222-2-222-2-200002-202-20000002-2002-20000000000
χ302-2-22-220000000000002-22-222-2-2-2-222-2-22200002-20-220000002-200-220000000000
χ312-2-22-220000000000002-22-2-2-22222-2-2-2-22200002-20-22000000-22002-20000000000
χ322-2-22-220000000000002-22-2-2-222-2-22222-2-200002-202-2000000-2200-220000000000
χ332-2-22-220000000022-2-2-222-222-2-20000000022-2-2-22000002-200-222-2000000000000
χ342-2-22-220000000022-2-2-222-2-2-22200000000-2-222-2200000-22002-22-2000000000000
χ352-2-22-2200000000-2-222-222-222-2-200000000-2-222-2200000-2200-22-22000000000000
χ362-2-22-2200000000-2-222-222-2-2-2220000000022-2-2-22000002-2002-2-22000000000000
χ372-2-22-22000022-2-200002-2-22000022-2-2000022-2-2-2200000-222-20000-220000000000
χ382-2-22-22000022-2-200002-2-220000-2-2220000-2-222-22000002-22-200002-20000000000
χ392-2-22-22000022-2-222-2-2-22-220000000022-2-200002-20-220000-2200-22000000000000
χ402-2-22-22000022-2-2-2-222-22-2200000000-2-22200002-202-20000-22002-2000000000000
χ412-2-22-220000-2-22200002-2-22000022-2-20000-2-222-22000002-2-220000-220000000000
χ422-2-22-220000-2-22200002-2-220000-2-222000022-2-2-2200000-22-2200002-20000000000
χ432-2-22-220000-2-22222-2-2-22-2200000000-2-22200002-202-200002-200-22000000000000
χ442-2-22-220000-2-222-2-222-22-220000000022-2-200002-20-2200002-2002-2000000000000
χ454444-4-444-4-400000000000000000000000000000000000000000000022-2-2000000
χ464444-4-444-4-4000000000000000000000000000000000000000000000-2-222000000
χ474444-4-4-4-4440000000000000000000000000000000000000000000002-22-2000000
χ484444-4-4-4-444000000000000000000000000000000000000000000000-22-22000000
χ4944-4-400004i−4i2-22-22-22-200002i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000000
χ5044-4-400004i−4i2-22-2-22-2200002i−2i2i−2i−2i2i−2i2i-22-22−2i2i−2i2i000000000000000000000000000
χ5144-4-400004i−4i-22-222-22-20000−2i2i−2i2i2i−2i2i−2i-22-22−2i2i−2i2i000000000000000000000000000
χ5244-4-400004i−4i-22-22-22-220000−2i2i−2i2i−2i2i−2i2i2-22-22i−2i2i−2i000000000000000000000000000
χ5344-4-40000−4i4i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000000
χ5444-4-40000−4i4i2-22-2-22-220000−2i2i−2i2i2i−2i2i−2i-22-222i−2i2i−2i000000000000000000000000000
χ5544-4-40000−4i4i-22-222-22-200002i−2i2i−2i−2i2i−2i2i-22-222i−2i2i−2i000000000000000000000000000
χ5644-4-40000−4i4i-22-22-22-2200002i−2i2i−2i2i−2i2i−2i2-22-2−2i2i−2i2i000000000000000000000000000
χ574-44-4004i−4i002-2-222-2-2200002i−2i−2i2i2i−2i−2i2i2-2-222i−2i−2i2i000000000000000000000000000
χ584-44-4004i−4i002-2-22-222-200002i−2i−2i2i−2i2i2i−2i-222-2−2i2i2i−2i000000000000000000000000000
χ594-44-4004i−4i00-222-22-2-220000−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i000000000000000000000000000
χ604-44-4004i−4i00-222-2-222-20000−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i000000000000000000000000000
χ614-44-400−4i4i002-2-222-2-220000−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000000
χ624-44-400−4i4i002-2-22-222-20000−2i2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i000000000000000000000000000
χ634-44-400−4i4i00-222-22-2-2200002i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i000000000000000000000000000
χ644-44-400−4i4i00-222-2-222-200002i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i000000000000000000000000000
χ658-8-888-800000000000000000000000000000000000000000000000000000000000

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