Finite Group Databasebeta

← Group #349756

Character table — Group #349756

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-22-2222222222222-2-2-2-200-2-2-2-2-200000000000000000000000000000000
χ1822222222222-2-2-22-22222-2-2-2-2-2-2-2-2-2-2-2-200-2222200000000000000000000000000000000
χ1922222222222-2-2-22-2-2-2-2-22222-2-2-2-2-222-2002-2-22200000000000000000000000000000000
χ2022222222222-2-2-22-2-2-2-2-2-2-2-2-22222-222-200222-2-200000000000000000000000000000000
χ2122222222-2-2-2222-2222-2-200000000-222-222-20000-2-2220000-2-20000000000000000000000
χ2222222222-2-2-2222-2222-2-200000000-222-2-2-2-2000022-2-20000220000000000000000000000
χ2322222222-2-2-2222-22-2-22200000000-2-2-2-22220000-2-2-2-20000220000000000000000000000
χ2422222222-2-2-2222-22-2-22200000000-2-2-2-2-2-22000022220000-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2000000002-2-220020000000022-2-20022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2000000002-2-2200200000000-2-22200-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200000000222200-20000000022-2-200-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200000000222200-200000000-2-2220022-2-2000000000000000000
χ292222-2-2-2-222-2000-202-22-222-2-222-2-2000000000000000000000000022−2−222−2−22−22−2000000
χ302222-2-2-2-222-2000-202-22-222-2-222-2-20000000000000000000000000−2−222−2−222−22−22000000
χ312222-2-2-2-222-2000-202-22-2-2-222-2-222000000000000000000000000022−2−222−2−2−22−22000000
χ322222-2-2-2-222-2000-202-22-2-2-222-2-2220000000000000000000000000−2−222−2−2222−22−2000000
χ332222-2-2-2-222-2000-20-22-2222-2-2-2-222000000000000000000000000022−2−2−2−2222−2−22000000
χ342222-2-2-2-222-2000-20-22-2222-2-2-2-2220000000000000000000000000−2−22222−2−2−222−2000000
χ352222-2-2-2-222-2000-20-22-22-2-22222-2-2000000000000000000000000022−2−2−2−222−222−2000000
χ362222-2-2-2-222-2000-20-22-22-2-22222-2-20000000000000000000000000−2−22222−2−22−2−22000000
χ372-22-222-2-22-2222-2-2-200002-22-20000200-22-202-2002-2002-22-2000000000000000000000000
χ382-22-222-2-22-2222-2-2-200002-22-20000200-2-2202-200-2200-22-22000000000000000000000000
χ392-22-222-2-22-2222-2-2-20000-22-220000200-22-20-22002-200-22-22000000000000000000000000
χ402-22-222-2-22-2222-2-2-20000-22-220000200-2-220-2200-22002-22-2000000000000000000000000
χ412-22-222-2-22-22-2-22-2200002-22-20000-2002000-2200002i−2i00002i−2i2i−2i2i−2i000000000000000000
χ422-22-222-2-22-22-2-22-2200002-22-20000-2002000-220000−2i2i0000−2i2i−2i2i−2i2i000000000000000000
χ432-22-222-2-22-22-2-22-220000-22-220000-20020002-200002i−2i00002i−2i−2i2i−2i2i000000000000000000
χ442-22-222-2-22-22-2-22-220000-22-220000-20020002-20000−2i2i0000−2i2i2i−2i2i−2i000000000000000000
χ452-22-222-2-2-22-222-22-2000000002i−2i2i−2i-20022-20002i−2i-22000000002i−2i−2i2i000000000000000000
χ462-22-222-2-2-22-222-22-2000000002i−2i2i−2i-2002-220002i−2i2-200000000−2i2i2i−2i000000000000000000
χ472-22-222-2-2-22-222-22-200000000−2i2i−2i2i-20022-2000−2i2i-2200000000−2i2i2i−2i000000000000000000
χ482-22-222-2-2-22-222-22-200000000−2i2i−2i2i-2002-22000−2i2i2-2000000002i−2i−2i2i000000000000000000
χ492-22-222-2-2-22-2-2-2222000000002i−2i2i−2i200-200000−2i2i002i−2i2-2-22−2i2i0000000000000000000000
χ502-22-222-2-2-22-2-2-2222000000002i−2i2i−2i200-200000−2i2i00−2i2i-222-22i−2i0000000000000000000000
χ512-22-222-2-2-22-2-2-222200000000−2i2i−2i2i200-2000002i−2i002i−2i-222-2−2i2i0000000000000000000000
χ522-22-222-2-2-22-2-2-222200000000−2i2i−2i2i200-2000002i−2i00−2i2i2-2-222i−2i0000000000000000000000
χ534444-4-4-4-4-4-44000404-4-44000000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-4400040-444-4000000000000000000000000000000000000000000000000000
χ5544-4-44-4-440004-440-4000000000000000000000000000000000000022−2222−2200000000000000
χ5644-4-44-4-440004-440-40000000000000000000000000000000000000−2222−222200000000000000
χ5744-4-44-4-44000-44-404000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ5844-4-44-4-44000-44-40400000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5944-4-4-444-40000000000000000000004i−4i00000000000000000000002-2-222i−2i−2i2i0000000000
χ6044-4-4-444-40000000000000000000004i−4i0000000000000000000000-222-2−2i2i2i−2i0000000000
χ6144-4-4-444-4000000000000000000000−4i4i00000000000000000000002-2-22−2i2i2i−2i0000000000
χ6244-4-4-444-4000000000000000000000−4i4i0000000000000000000000-222-22i−2i−2i2i0000000000
χ634-44-4-4-4444-4-40004000004-4-4400000000000000000000000000000000000000000000000
χ644-44-4-4-4444-4-4000400000-444-400000000000000000000000000000000000000000000000
χ654-44-4-4-444-444000-40000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ664-44-4-4-444-444000-4000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ674-4-444-44-40004-4-40400000000000000000000000000000000000000000000000002i2−2i20000
χ684-4-444-44-40004-4-4040000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-444-44-4000-4440-400000000000000000000000000000000000000000000000000022−2200
χ704-4-444-44-4000-4440-4000000000000000000000000000000000000000000000000000−222200
χ718-8-88-88-88000000000000000000000000000000000000000000000000000000000000000

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