Finite Group Databasebeta

← Group #310443

Character table — Group #310443

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1111
χ61111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1
χ111111111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-111-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-111111-1-1-1-1-1-111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-11111-1-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ172222222222-2-22-2-222222-2-200002200-2-2000000220000-2-2000000000-2000000000
χ182222222222-2-22-2-222222-2-20000-2-200-2-2000000-2-20000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000220022000000-2-2000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-20022000000220000-2-20000000002000000000
χ2122222222-2-222-222-20000-2-2222200220022-2-2-2-2000000000000-200000000000000
χ2222222222-2-222-222-20000-2-2222200-2-200-2-222-2-2000000000000200000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-2002200-2-22222000000000000-200000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-200-2-20022-2-222000000000000200000000000000
χ252-22-22-22-22-200-20022i2i−2i−2i00i2i2−i2−i22-200000000i2−i22i−2i22−2−20022−2−200000000i2−i200000
χ262-22-22-22-22-200-20022i2i−2i−2i00i2i2−i2−i2-2200000000i2−i2−2i2i22−2−200−2−22200000000−i2i200000
χ272-22-22-22-22-200-20022i2i−2i−2i00−i2−i2i2i22-200000000−i2i22i−2i−2−22200−2−22200000000−i2i200000
χ282-22-22-22-22-200-20022i2i−2i−2i00−i2−i2i2i2-2200000000−i2i2−2i2i−2−2220022−2−200000000i2−i200000
χ292-22-22-22-22-200-2002−2i−2i2i2i00i2i2−i2−i22-200000000i2−i2−2i2i−2−22200−2−22200000000i2−i200000
χ302-22-22-22-22-200-2002−2i−2i2i2i00i2i2−i2−i2-2200000000i2−i22i−2i−2−2220022−2−200000000−i2i200000
χ312-22-22-22-22-200-2002−2i−2i2i2i00−i2−i2i2i22-200000000−i2i2−2i2i22−2−20022−2−200000000−i2i200000
χ322-22-22-22-22-200-2002−2i−2i2i2i00−i2−i2i2i2-2200000000−i2i22i−2i22−2−200−2−22200000000i2−i200000
χ332-2-2-222-222-2222-2-2-22i−2i2i−2i-22000000002i−2i2i−2i2i−2i000000000000000000002-20000000
χ342-2-2-222-222-2222-2-2-22i−2i2i−2i-22000000002i−2i−2i2i−2i2i00000000000000000000-220000000
χ352-2-2-222-222-2222-2-2-2−2i2i−2i2i-2200000000−2i2i2i−2i2i−2i00000000000000000000-220000000
χ362-2-2-222-222-2222-2-2-2−2i2i−2i2i-2200000000−2i2i−2i2i−2i2i000000000000000000002-20000000
χ372-2-2-222-222-2-2-2222-22i−2i2i−2i2-200000000−2i2i0000000000000000000002i−2i000002-2000
χ382-2-2-222-222-2-2-2222-22i−2i2i−2i2-200000000−2i2i000000000000000000000−2i2i00000-22000
χ392-2-2-222-222-2-2-2222-2−2i2i−2i2i2-2000000002i−2i0000000000000000000002i−2i00000-22000
χ402-2-2-222-222-2-2-2222-2−2i2i−2i2i2-2000000002i−2i000000000000000000000−2i2i000002-2000
χ412-2-2-222-22-2222-2-2-2200002-200000000002i−2i−2i2i00002i−2i2i−2i00000002-2000000000000
χ422-2-2-222-22-2222-2-2-2200002-200000000002i−2i−2i2i0000−2i2i−2i2i0000000-22000000000000
χ432-2-2-222-22-2222-2-2-2200002-20000000000−2i2i2i−2i00002i−2i2i−2i0000000-22000000000000
χ442-2-2-222-22-2222-2-2-2200002-20000000000−2i2i2i−2i0000−2i2i−2i2i00000002-2000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ4644-444-4-4-44400-400-44-4-44000000000000000000000000000000000000000000000
χ4744-444-4-4-44400-400-4-444-4000000000000000000000000000000000000000000000
χ4844-444-4-4-4-4-40040040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ4944-444-4-4-4-4-4004004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5044-4-4-4-444004-404-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-4-4-444004-404-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-4-4-44400-440-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-4-4-44400-440-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-44004-40-44000000000000000000000000000000000000000000000002i2−2i20
χ554-444-4-4-44004-40-4400000000000000000000000000000000000000000000000−2i22i20
χ564-444-4-4-4400-4404-400000000000004i−4i00000000000000000000000000000000000
χ574-444-4-4-4400-4404-40000000000000−4i4i00000000000000000000000000000000000
χ584-44-44-44-4-4400400-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-44-44-44-4-4400400-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-4-44-444-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ614-4-44-444-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ624-4-44-444-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ634-4-44-444-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ644-4-4-444-44-44-4-4-44440000-440000000000000000000000000000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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