Finite Group Databasebeta

← Group #283020

Character table — Group #283020

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-11-111-1-111-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111111-1-1-11111-1-111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1111111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1722222222222-2-2-2-222222-2-20000220000-2-20000220000-2-20000-200000000000000
χ1822222222222-2-2-2-222222-2-20000-2-20000-2-20000-2-20000220000200000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000220000220000-2-20000220000-200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-20000-2-20000220000220000-2-20000200000000000000
χ2122222222-2-2-22222-20000-2-2222200222200-2-2-2-20000000000000-20000000000000
χ2222222222-2-2-22222-20000-2-2222200-2-2-2-20022-2-2000000000000020000000000000
χ2322222222-2-2-22222-20000-2-2-2-2-2-20022-2-20022220000000000000-20000000000000
χ2422222222-2-2-22222-20000-2-2-2-2-2-200-2-22200-2-222000000000000020000000000000
χ252222-2-2-2-22-220000-222-2-20022−2−22-2000000002−22-222−2−20022−2−2000000002−200000
χ262222-2-2-2-22-220000-222-2-20022−2−2-22000000002−2-2222−2−200−2−22200000000−2200000
χ272222-2-2-2-22-220000-222-2-200−2−2222-200000000−222-2−2−22200−2−22200000000−2200000
χ282222-2-2-2-22-220000-222-2-200−2−222-2200000000−22-22−2−2220022−2−2000000002−200000
χ292222-2-2-2-22-220000-2-2-2220022−2−22-2000000002−2-22−2−22200−2−222000000002−200000
χ302222-2-2-2-22-220000-2-2-2220022−2−2-22000000002−22-2−2−2220022−2−200000000−2200000
χ312222-2-2-2-22-220000-2-2-22200−2−2222-200000000−22-2222−2−20022−2−200000000−2200000
χ322222-2-2-2-22-220000-2-2-22200−2−222-2200000000−222-222−2−200−2−222000000002−200000
χ332-22-2-22-2222-222-2-2-22i−2i2i−2i-2200000000002i−2i00000000000000000000002-200002i−2i0
χ342-22-2-22-2222-222-2-2-22i−2i2i−2i-2200000000002i−2i0000000000000000000000-220000−2i2i0
χ352-22-2-22-2222-222-2-2-2−2i2i−2i2i-220000000000−2i2i00000000000000000000002-20000−2i2i0
χ362-22-2-22-2222-222-2-2-2−2i2i−2i2i-220000000000−2i2i0000000000000000000000-2200002i−2i0
χ372-22-2-22-2222-2-2-222-22i−2i2i−2i2-2000000002-2−2i2i2-200000000000000002i−2i00000000000
χ382-22-2-22-2222-2-2-222-22i−2i2i−2i2-200000000-22−2i2i-220000000000000000−2i2i00000000000
χ392-22-2-22-2222-2-2-222-2−2i2i−2i2i2-2000000002-22i−2i2-20000000000000000−2i2i00000000000
χ402-22-2-22-2222-2-2-222-2−2i2i−2i2i2-200000000-222i−2i-2200000000000000002i−2i00000000000
χ412-22-2-22-22-2-22-2-22220000-22000000002-200-2200002-22-200000000002-2000000000
χ422-22-2-22-22-2-22-2-22220000-22000000002-200-220000-22-220000000000-22000000000
χ432-22-2-22-22-2-22-2-22220000-2200000000-22002-200002-22-20000000000-22000000000
χ442-22-2-22-22-2-22-2-22220000-2200000000-22002-20000-22-2200000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-44-4000040000002222−22−220000000000−2222000000000000000000000000000
χ474444-4-4-4-4-44-400004000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-444-4-40004-44-4000000000000000000000000000000022−2222−22000000000000000
χ4944-4-444-4-40004-44-40000000000000000000000000000000−2222−2222000000000000000
χ5044-4-444-4-4000-44-4400000004-44-4000000000000000000000000000000000000000
χ5144-4-444-4-4000-44-440000000-44-44000000000000000000000000000000000000000
χ5244-4-4-4-4440000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ5344-4-4-4-4440000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ5444-4-4-4-44400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ5544-4-4-4-44400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ564-44-44-44-44-4-4000044i−4i−4i4i000000000000000000000000000000000000000000000
χ574-44-44-44-44-4-400004−4i4i4i−4i000000000000000000000000000000000000000000000
χ584-44-44-44-4-4440000-400000000000000000000000022−22−2222000000000000000000000
χ594-44-44-44-4-4440000-4000000000000000000000000−222222−22000000000000000000000
χ604-44-4-44-44-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ614-4-44-444-40004-4-4400000000000004i−4i00000000000000000000000000000000000
χ624-4-44-444-40004-4-440000000000000−4i4i00000000000000000000000000000000000
χ634-4-44-444-4000-444-40000000000000000000000000000000000000000000002i2−2i2000
χ644-4-44-444-4000-444-4000000000000000000000000000000000000000000000−2i22i2000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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