Finite Group Databasebeta

← Group #310600

Character table — Group #310600

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111111-1-11111-1
χ17222222222-2-22-2-2220000-2-22222000022-2-222-2-200000000000000000-2000000000
χ18222222222-2-22-2-2220000-2-222220000-2-222-2-2-2-2000000000000000002000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-2000022-2-2-2-222000000000000000002000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-20000-2-222222200000000000000000-2000000000
χ2122222222-222-222-2-22222-2-2000022-2-20000000022-2-200000000-200000000000000
χ2222222222-222-222-2-22222-2-20000-2-2-2-200000000-2-22200000000200000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-20000222200000000-2-22200000000-200000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-2220000000022-2-200000000200000000000000
χ252-22-222-2-202-202-2002i2i−2i−2i00i2i2−i2−i22i−2i00000000i2−i22-20022−2−2i2i2−i2−i20000000000002−20
χ262-22-222-2-202-202-2002i2i−2i−2i00i2i2−i2−i2−2i2i00000000i2−i2-220022−2−2−i2−i2i2i2000000000000−220
χ272-22-222-2-202-202-2002i2i−2i−2i00−i2−i2i2i22i−2i00000000−i2i22-200−2−222−i2−i2i2i2000000000000−220
χ282-22-222-2-202-202-2002i2i−2i−2i00−i2−i2i2i2−2i2i00000000−i2i2-2200−2−222i2i2−i2−i20000000000002−20
χ292-22-222-2-202-202-200−2i−2i2i2i00i2i2−i2−i22i−2i00000000i2−i2-2200−2−222−i2−i2i2i20000000000002−20
χ302-22-222-2-202-202-200−2i−2i2i2i00i2i2−i2−i2−2i2i00000000i2−i22-200−2−222i2i2−i2−i2000000000000−220
χ312-22-222-2-202-202-200−2i−2i2i2i00−i2−i2i2i22i−2i00000000−i2i2-220022−2−2i2i2−i2−i2000000000000−220
χ322-22-222-2-202-202-200−2i−2i2i2i00−i2−i2i2i2−2i2i00000000−i2i22-20022−2−2−i2−i2i2i20000000000002−20
χ332-22-2-2-222222-2-2-22-22i−2i2i−2i-220000002i−2i2i−2i2i−2i00000000000000000002-20000000000
χ342-22-2-2-222222-2-2-22-22i−2i2i−2i-220000002i−2i−2i2i−2i2i0000000000000000000-220000000000
χ352-22-2-2-222222-2-2-22-2−2i2i−2i2i-22000000−2i2i2i−2i2i−2i0000000000000000000-220000000000
χ362-22-2-2-222222-2-2-22-2−2i2i−2i2i-22000000−2i2i−2i2i−2i2i00000000000000000002-20000000000
χ372-22-2-2-2222-2-2-2222-200002-2000000002i−2i−2i2i000000002-22-2000002i−2i000000000000
χ382-22-2-2-2222-2-2-2222-200002-2000000002i−2i−2i2i00000000-22-2200000−2i2i000000000000
χ392-22-2-2-2222-2-2-2222-200002-200000000−2i2i2i−2i000000002-22-200000−2i2i000000000000
χ402-22-2-2-2222-2-2-2222-200002-200000000−2i2i2i−2i00000000-22-22000002i−2i000000000000
χ412-22-2-2-222-2222-2-2-222i−2i2i−2i2-2000000−2i2i000000000000000000000000002-22i−2i00000
χ422-22-2-2-222-2222-2-2-222i−2i2i−2i2-2000000−2i2i00000000000000000000000000-22−2i2i00000
χ432-22-2-2-222-2222-2-2-22−2i2i−2i2i2-20000002i−2i000000000000000000000000002-2−2i2i00000
χ442-22-2-2-222-2222-2-2-22−2i2i−2i2i2-20000002i−2i00000000000000000000000000-222i−2i00000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-404-40-44004-4-44000000000000000000000000000000000000000000000
χ474444-4-4-4-404-40-4400-444-4000000000000000000000000000000000000000000000
χ484444-4-4-4-40-4404-4000000000000000000000000000022−22−22220000000000000000000
χ494444-4-4-4-40-4404-40000000000000000000000000000−222222−220000000000000000000
χ5044-4-44-44-40000000000000022−2222−22000000000000002i2−2i200002i−2i2i−2i000000000000000
χ5144-4-44-44-40000000000000022−2222−2200000000000000−2i22i20000−2i2i−2i2i000000000000000
χ5244-4-44-44-400000000000000−2222−2222000000000000002i2−2i20000−2i2i−2i2i000000000000000
χ5344-4-44-44-400000000000000−2222−222200000000000000−2i22i200002i−2i2i−2i000000000000000
χ5444-4-4-44-44400-400-440000000000000000004i−4i00000000000000000000000000000
χ5544-4-4-44-44400-400-44000000000000000000−4i4i00000000000000000000000000000
χ5644-4-4-44-44-4004004-4000000000000000000000000000000000000000000002i2−2i2000
χ5744-4-4-44-44-4004004-400000000000000000000000000000000000000000000−2i22i2000
χ584-44-444-4-40-440-44000000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-44-444-4-40-440-4400000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-44-4-4-444-4-4-4444-440000-440000000000000000000000000000000000000000000
χ614-4-444-4-44400400-4-40000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-444-4-44400400-4-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-444-4-44-400-4004400000000000000000000000000000022−22−2222000000000000000
χ644-4-444-4-44-400-40044000000000000000000000000000000−222222−22000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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