Finite Group Databasebeta

← Group #322035

Character table — Group #322035

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444448888888888888888448888888888888888444444444444444488888888888888882222
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11
χ172222222222-22-2-2-220000000022222222-2-20000-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ182222222222-22-2-2-220000000022222222-2-20000-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ192222222222-22-2-2-2200000000-2-2-2-2-2-2-2-2-2-2000022220000000022-2-2-2-2220000000000000000000000000000
χ202222222222-22-2-2-2200000000-2-2-2-2-2-2-2-2-2-20000222200000000-2-22222-2-20000000000000000000000000000
χ2122222222-2-22-2222-22222222200000000-2-2-2-2-2-20000000000000000000022-2-222-2-200000000000000000000
χ2222222222-2-22-2222-22222222200000000-2-2-2-2-2-200000000000000000000-2-222-2-22200000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2-2-200000000-2-222220000000000000000000022-2-2-2-22200000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2-2-200000000-2-2222200000000000000000000-2-22222-2-200000000000000000000
χ25222-2-2-22-200202-2-202222-2-2-2-22222−2−2−2−200000022−2−22222−2−2−2−200000000002i−2i002i−2i00000000i2i2−i2−i2i2i2−i2−i20000
χ26222-2-2-22-200202-2-202222-2-2-2-22222−2−2−2−200000022−2−22222−2−2−2−20000000000−2i2i00−2i2i00000000−i2−i2i2i2−i2−i2i2i20000
χ27222-2-2-22-200202-2-202222-2-2-2-2−2−2−2−22222000000−2−222−2−2−2−2222200000000002i−2i002i−2i00000000−i2−i2i2i2−i2−i2i2i20000
χ28222-2-2-22-200202-2-202222-2-2-2-2−2−2−2−22222000000−2−222−2−2−2−222220000000000−2i2i00−2i2i00000000i2i2−i2−i2i2i2−i2−i20000
χ29222-2-2-22-200202-2-20-2-2-2-222222222−2−2−2−200000022−2−2−2−2−2−2222200000000002i−2i00−2i2i00000000i2i2−i2−i2−i2−i2i2i20000
χ30222-2-2-22-200202-2-20-2-2-2-222222222−2−2−2−200000022−2−2−2−2−2−222220000000000−2i2i002i−2i00000000−i2−i2i2i2i2i2−i2−i20000
χ31222-2-2-22-200202-2-20-2-2-2-22222−2−2−2−22222000000−2−2222222−2−2−2−200000000002i−2i00−2i2i00000000−i2−i2i2i2i2i2−i2−i20000
χ32222-2-2-22-200202-2-20-2-2-2-22222−2−2−2−22222000000−2−2222222−2−2−2−20000000000−2i2i002i−2i00000000i2i2−i2−i2−i2−i2i2i20000
χ3322-222-2-2-22-202000-222−2−222−2−222-2-222-2-20022−2−2000022−2−222−2−2002i−2i002i−2i00000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3422-222-2-2-22-202000-222−2−222−2−222-2-222-2-20022−2−2000022−2−222−2−200−2i2i00−2i2i00000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3522-222-2-2-22-202000-222−2−222−2−2-2-222-2-2220022−2−20000−2−222−2−222002i−2i00−2i2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ3622-222-2-2-22-202000-222−2−222−2−2-2-222-2-2220022−2−20000−2−222−2−22200−2i2i002i−2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ3722-222-2-2-22-202000-2−2−222−2−22222-2-222-2-200−2−2220000−2−222−2−222002i−2i002i−2i00000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3822-222-2-2-22-202000-2−2−222−2−22222-2-222-2-200−2−2220000−2−222−2−22200−2i2i00−2i2i00000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3922-222-2-2-22-202000-2−2−222−2−222-2-222-2-22200−2−222000022−2−222−2−2002i−2i00−2i2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ4022-222-2-2-22-202000-2−2−222−2−222-2-222-2-22200−2−222000022−2−222−2−200−2i2i002i−2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ412-222-22-2-2-2202000-22−22−22−22−22-22-22-22-2002−22−200002−22−22−22−22i−2i002i−2i0000000000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-222-22-2-2-2202000-22−22−22−22−22-22-22-22-2002−22−200002−22−22−22−2−2i2i00−2i2i0000000000−i2i2−i2i2−i2i2−i2i2000000000000
χ432-222-22-2-2-2202000-22−22−22−22−2-22-22-22-22002−22−20000−22−22−22−222i−2i00−2i2i0000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ442-222-22-2-2-2202000-22−22−22−22−2-22-22-22-22002−22−20000−22−22−22−22−2i2i002i−2i0000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ452-222-22-2-2-2202000-2−22−22−22−222-22-22-22-200−22−220000−22−22−22−222i−2i002i−2i0000000000−i2i2−i2i2−i2i2−i2i2000000000000
χ462-222-22-2-2-2202000-2−22−22−22−222-22-22-22-200−22−220000−22−22−22−22−2i2i00−2i2i0000000000i2−i2i2−i2i2−i2i2−i2000000000000
χ472-222-22-2-2-2202000-2−22−22−22−22-22-22-22-2200−22−2200002−22−22−22−22i−2i00−2i2i0000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ482-222-22-2-2-2202000-2−22−22−22−22-22-22-22-2200−22−2200002−22−22−22−2−2i2i002i−2i0000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ492-2-22-2-22222-2-222-2-22-2-222-2-22000000002-2-222-20000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ502-2-22-2-22222-2-222-2-22-2-222-2-22000000002-2-222-2000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ512-2-22-2-22222-2-222-2-2-222-2-222-2000000002-22-2-220000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000
χ522-2-22-2-22222-2-222-2-2-222-2-222-2000000002-22-2-22000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000
χ532-2-22-2-222-2-222-2-222000000002-2-222-2-222-200002-22-20000000000000000000000002-2-222-2-22000000000000
χ542-2-22-2-222-2-222-2-222000000002-2-222-2-222-200002-22-2000000000000000000000000-222-2-222-2000000000000
χ552-2-22-2-222-2-222-2-22200000000-222-2-222-22-20000-22-220000000000000000000000002-2-22-222-2000000000000
χ562-2-22-2-222-2-222-2-22200000000-222-2-222-22-20000-22-22000000000000000000000000-222-22-2-22000000000000
χ572-2-22-2-222-2-2-2222-222-2-222-2-222-2-222-2-22-222-2-22-22-222-2-222-2-22000000000000000000000000000000000000
χ582-2-22-2-222-2-2-2222-222-2-222-2-22-222-2-222-2-222-2-222-22-2-222-2-222-2000000000000000000000000000000000000
χ592-2-22-2-222-2-2-2222-22-222-2-222-22-2-222-2-22-22-222-2-22-22-222-2-222-2000000000000000000000000000000000000
χ602-2-22-2-222-2-2-2222-22-222-2-222-2-222-2-222-2-22-222-22-22-22-2-222-2-22000000000000000000000000000000000000
χ612-2-2-2222-200-202-2202-2-22-222-22−2−22−222−2000000−222−22−2−22−222−2000000002-2002-200000000002−2−222−2−220000
χ622-2-2-2222-200-202-2202-2-22-222-22−2−22−222−2000000−222−22−2−22−222−200000000-2200-220000000000−222−2−222−20000
χ632-2-2-2222-200-202-2202-2-22-222-2−222−22−2−220000002−2−22−222−22−2−22000000002-2002-20000000000−222−2−222−20000
χ642-2-2-2222-200-202-2202-2-22-222-2−222−22−2−220000002−2−22−222−22−2−2200000000-2200-2200000000002−2−222−2−220000
χ652-2-2-2222-200-202-220-222-22-2-222−2−22−222−2000000−222−2−222−22−2−22000000002-200-2200000000002−2−22−222−20000
χ662-2-2-2222-200-202-220-222-22-2-222−2−22−222−2000000−222−2−222−22−2−2200000000-22002-20000000000−222−22−2−220000
χ672-2-2-2222-200-202-220-222-22-2-22−222−22−2−220000002−2−222−2−22−222−2000000002-200-220000000000−222−22−2−220000
χ682-2-2-2222-200-202-220-222-22-2-22−222−22−2−220000002−2−222−2−22−222−200000000-22002-200000000002−2−22−222−20000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ70444-4-4-44-400-40-44400000000022222222−22−22−22−22000000−22−22222200000000000000000000000000000000000000000000
χ71444-4-4-44-400-40-444000000000−22−22−22−22222222220000002222−22−2200000000000000000000000000000000000000000000
χ7244-444-4-4-4-440-400042222−22−222222−22−220000000000−22−222222000000000000000000000000000000000000000000000000
χ7344-444-4-4-4-440-40004−22−222222−22−22222200000000002222−22−22000000000000000000000000000000000000000000000000
χ7444-4-4-44-44000000002222−22−22−22−2222222222−22−22−22−222222000000000022-2-2-2-222000000000000000000000000000000000000
χ7544-4-4-44-44000000002222−22−22−22−222222−22−2222222222−22−220000000000-2-22222-2-2000000000000000000000000000000000000
χ7644-4-4-44-4400000000−22−2222222222−22−222222−22−22−22−2222220000000000-2-22222-2-2000000000000000000000000000000000000
χ7744-4-4-44-4400000000−22−2222222222−22−22−22−2222222222−22−22000000000022-2-2-2-222000000000000000000000000000000000000
χ784-444-44-4-44-40-4000422−2222−2222−2222−220000000000−2222−2222000000000000000000000000000000000000000000000000
χ794-444-44-4-44-40-40004−2222−2222−2222−2222000000000022−2222−22000000000000000000000000000000000000000000000000
χ804-44-44-4-440000000022−2222−22−2222−222222−2222−22−2222−222200000000002-22-2-22-22000000000000000000000000000000000000
χ814-44-44-4-440000000022−2222−22−2222−2222−2222−222222−2222−220000000000-22-222-22-2000000000000000000000000000000000000
χ824-44-44-4-4400000000−2222−222222−2222−2222−2222−22−2222−22220000000000-22-222-22-2000000000000000000000000000000000000
χ834-44-44-4-4400000000−2222−222222−2222−22−2222−222222−2222−2200000000002-22-2-22-22000000000000000000000000000000000000
χ844-4-44-4-444444-4-4-44-40000000000000000-440000000000000000000000000000000000000000000000000000
χ854-4-4-4444-40040-44-400000000022−22−2222−222222−2200000022−22−222200000000000000000000000000000000000000000000
χ864-4-4-4444-40040-44-4000000000−222222−2222−22−2222000000−222222−2200000000000000000000000000000000000000000000

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