Finite Group Databasebeta

← Group #309940

Character table — Group #309940

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-111-1
χ17222222222-2-222-2-222222-2-2000000000022-2-20022-2-20000000000000-2000000000
χ18222222222-2-222-2-222222-2-20000000000-2-2-2-200-2-22200000000000002000000000
χ19222222222-2-222-2-22-2-2-2-2-2-20000000000222200-2-2220000000000000-2000000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000000000-2-2220022-2-200000000000002000000000
χ2122222222-222-2-222-20000-2-222222222-2-20000-2-200000000000000-2000000000000
χ2222222222-222-2-222-20000-2-22222-2-2-2-2220000-2-2000000000000002000000000000
χ2322222222-222-2-222-20000-2-2-2-2-2-222-2-2-2-2000022000000000000002000000000000
χ2422222222-222-2-222-20000-2-2-2-2-2-2-2-2222200002200000000000000-2000000000000
χ252-22-2-222-2222-2-2-2-222i2i−2i−2i-220000000000002i−2i000000000000002i−2i000000002-2000
χ262-22-2-222-2222-2-2-2-222i2i−2i−2i-220000000000002i−2i00000000000000−2i2i00000000-22000
χ272-22-2-222-2222-2-2-2-22−2i−2i2i2i-22000000000000−2i2i000000000000002i−2i00000000-22000
χ282-22-2-222-2222-2-2-2-22−2i−2i2i2i-22000000000000−2i2i00000000000000−2i2i000000002-2000
χ292-22-2-222-22-2-2-2-22222i2i−2i−2i2-200002i−2i002i−2i00−2i2i000000000000000002-20000000000
χ302-22-2-222-22-2-2-2-22222i2i−2i−2i2-20000−2i2i00−2i2i00−2i2i00000000000000000-220000000000
χ312-22-2-222-22-2-2-2-2222−2i−2i2i2i2-200002i−2i002i−2i002i−2i00000000000000000-220000000000
χ322-22-2-222-22-2-2-2-2222−2i−2i2i2i2-20000−2i2i00−2i2i002i−2i000000000000000002-20000000000
χ332-22-2-222-2-2-2-22222-20000-2200002i−2i00−2i2i000000000022-2-200000000002i−2i0000000
χ342-22-2-222-2-2-2-22222-20000-2200002i−2i00−2i2i0000000000-2-2220000000000−2i2i0000000
χ352-22-2-222-2-2-2-22222-20000-220000−2i2i002i−2i000000000022-2-20000000000−2i2i0000000
χ362-22-2-222-2-2-2-22222-20000-220000−2i2i002i−2i0000000000-2-22200000000002i−2i0000000
χ372-2-22-2-2222002-200-22i−2i2i−2i0022−2−20000002i−2i002−22-200i2−i2i2−i222−2−200000000i2−i200000
χ382-2-22-2-2222002-200-22i−2i2i−2i0022−2−2000000−2i2i002−2-2200i2−i2i2−i2−2−22200000000−i2i200000
χ392-2-22-2-2222002-200-22i−2i2i−2i00−2−2220000002i−2i00−222-200−i2i2−i2i2−2−22200000000−i2i200000
χ402-2-22-2-2222002-200-22i−2i2i−2i00−2−222000000−2i2i00−22-2200−i2i2−i2i222−2−200000000i2−i200000
χ412-2-22-2-2222002-200-2−2i2i−2i2i0022−2−20000002i−2i002−2-2200−i2i2−i2i2−2−22200000000i2−i200000
χ422-2-22-2-2222002-200-2−2i2i−2i2i0022−2−2000000−2i2i002−22-200−i2i2−i2i222−2−200000000−i2i200000
χ432-2-22-2-2222002-200-2−2i2i−2i2i00−2−2220000002i−2i00−22-2200i2−i2i2−i222−2−200000000−i2i200000
χ442-2-22-2-2222002-200-2−2i2i−2i2i00−2−222000000−2i2i00−222-200i2−i2i2−i2−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-404-4004-400000000000004-400000000000000000000000000000000000
χ474444-4-4-4-404-4004-40000000000000-4400000000000000000000000000000000000
χ484444-4-4-4-40-4400-440000000000000000000000000000000000000000000000022−220
χ494444-4-4-4-40-4400-4400000000000000000000000000000000000000000000000−22220
χ5044-4-44-44-4400-4400-44-4-44000000000000000000000000000000000000000000000
χ5144-4-44-44-4400-4400-4-444-4000000000000000000000000000000000000000000000
χ5244-4-44-44-4-4004-4004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5344-4-44-44-4-4004-400400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5444-4-4-44-44000000000000002i2−2i22i2−2i20000000000000022−2200002i−2i2i−2i000000000000000
χ5544-4-4-44-44000000000000002i2−2i22i2−2i200000000000000−22220000−2i2i−2i2i000000000000000
χ5644-4-4-44-4400000000000000−2i22i2−2i22i20000000000000022−220000−2i2i−2i2i000000000000000
χ5744-4-4-44-4400000000000000−2i22i2−2i22i200000000000000−222200002i−2i2i−2i000000000000000
χ584-44-44-4-4404-400-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ594-44-44-4-4404-400-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ604-44-44-4-440-44004-400000004i−4i−4i4i000000000000000000000000000000000000000
χ614-44-44-4-440-44004-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ624-44-4-444-4-44444-4-4-400004-40000000000000000000000000000000000000000000
χ634-4-44-4-444-400-440040000002222−22−220000000000−2222000000000000000000000000000
χ644-4-44-4-444-400-44004000000−22−222222000000000022−22000000000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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