Finite Group Databasebeta

← Group #243244

Character table — Group #243244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222444444444444444422444444444444888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111
χ91111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ121111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ141111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22-2-2-2-2222-2-2-2-2000000000000000022-2-2-2-22200000000000000000000
χ1822222222222222-2-2-2-22-2-2-2-2222-2-2-2-20000000000000000-2-22222-2-200000000000000000000
χ192222222222-2-2-2-222222-2-2-2-22-2-2-2-22200000000000000002222-2-2-2-200000000000000000000
χ202222222222-2-2-2-222222-2-2-2-22-2-2-2-2220000000000000000-2-2-2-2222200000000000000000000
χ2122222222-2-222222222-22222-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ2222222222-2-222222222-22222-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-222-2-22222-2-2-2-222000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-222-2-222-2-22222-2-2000000000000000000000000000000000000
χ292222-2-2-2-22222-2-222-2-2-222-2-2-22-22-22-200000000000000000000000000000000000000002-22-2
χ302222-2-2-2-22222-2-222-2-2-222-2-2-22-22-22-20000000000000000000000000000000000000000-22-22
χ312222-2-2-2-22222-2-2-2-222-2-2-222-22-2-22-220000000022-2-222-2-20000000000000000000000000000
χ322222-2-2-2-22222-2-2-2-222-2-2-222-22-2-22-2200000000-2-222-2-2220000000000000000000000000000
χ332222-2-2-2-222-2-22222-2-2-2-2-222-2-22-222-20000000022-2-2-2-2220000000000000000000000000000
χ342222-2-2-2-222-2-22222-2-2-2-2-222-2-22-222-200000000-2-22222-2-20000000000000000000000000000
χ352222-2-2-2-222-2-222-2-222-222-2-2-2-222-2-2200000000000000000000000000000000000000002-2-22
χ362222-2-2-2-222-2-222-2-222-222-2-2-2-222-2-220000000000000000000000000000000000000000-222-2
χ372222-2-2-2-2-2-222-2-222-2-2222-2-22-22-22-2200000000000000000000000000000000002i−2i002i−2i0000
χ382222-2-2-2-2-2-222-2-222-2-2222-2-22-22-22-220000000000000000000000000000000000−2i2i00−2i2i0000
χ392222-2-2-2-2-2-222-2-2-2-2222-2-2222-222-22-2000000000000000000000000000000002i−2i002i−2i000000
χ402222-2-2-2-2-2-222-2-2-2-2222-2-2222-222-22-200000000000000000000000000000000−2i2i00−2i2i000000
χ412222-2-2-2-2-2-2-2-22222-2-22-2-22222-22-2-22000000000000000000000000000000002i−2i00−2i2i000000
χ422222-2-2-2-2-2-2-2-22222-2-22-2-22222-22-2-2200000000000000000000000000000000−2i2i002i−2i000000
χ432222-2-2-2-2-2-2-2-222-2-222222-2-222-2-222-200000000000000000000000000000000002i−2i00−2i2i0000
χ442222-2-2-2-2-2-2-2-222-2-222222-2-222-2-222-20000000000000000000000000000000000−2i2i002i−2i0000
χ4522-2-22-2-22002i−2i2i−2i2i−2i2i−2i02-22-20000000002i−2i002-2000000002−2i2−i22−2i2−i2i2−i2i2−i22−22−2000000000000
χ4622-2-22-2-22002i−2i2i−2i2i−2i2i−2i02-22-20000000002i−2i002-200000000−22−i2i2−22−i2i2−i2i2−i2i2−22−22000000000000
χ4722-2-22-2-22002i−2i2i−2i2i−2i2i−2i02-22-2000000000−2i2i00-22000000002−2i2−i22−2i2−i2−i2i2−i2i2−22−22000000000000
χ4822-2-22-2-22002i−2i2i−2i2i−2i2i−2i02-22-2000000000−2i2i00-2200000000−22−i2i2−22−i2i2i2−i2i2−i22−22−2000000000000
χ4922-2-22-2-22002i−2i2i−2i−2i2i−2i2i0-22-2200000002-2002i−2i00000000002−2−i2i2−22i2−i22−2−22−i2i2i2−i2000000000000
χ5022-2-22-2-22002i−2i2i−2i−2i2i−2i2i0-22-2200000002-2002i−2i0000000000−22i2−i22−2−i2i2−222−2i2−i2−i2i2000000000000
χ5122-2-22-2-22002i−2i2i−2i−2i2i−2i2i0-22-220000000-2200−2i2i00000000002−2−i2i2−22i2−i2−222−2i2−i2−i2i2000000000000
χ5222-2-22-2-22002i−2i2i−2i−2i2i−2i2i0-22-220000000-2200−2i2i0000000000−22i2−i22−2−i2i22−2−22−i2i2i2−i2000000000000
χ5322-2-22-2-2200−2i2i−2i2i2i−2i2i−2i0-22-2200000002-200−2i2i00000000002−2i2−i2−22−i2i22−2−22i2−i2−i2i2000000000000
χ5422-2-22-2-2200−2i2i−2i2i2i−2i2i−2i0-22-2200000002-200−2i2i0000000000−22−i2i22−2i2−i2−222−2−i2i2i2−i2000000000000
χ5522-2-22-2-2200−2i2i−2i2i2i−2i2i−2i0-22-220000000-22002i−2i00000000002−2i2−i2−22−i2i2−222−2−i2i2i2−i2000000000000
χ5622-2-22-2-2200−2i2i−2i2i2i−2i2i−2i0-22-220000000-22002i−2i0000000000−22−i2i22−2i2−i22−2−22i2−i2−i2i2000000000000
χ5722-2-22-2-2200−2i2i−2i2i−2i2i−2i2i02-22-20000000002i−2i00-22000000002−2−i2i22−2−i2i2i2−i2i2−i2−22−22000000000000
χ5822-2-22-2-2200−2i2i−2i2i−2i2i−2i2i02-22-20000000002i−2i00-2200000000−22i2−i2−22i2−i2−i2i2−i2i22−22−2000000000000
χ5922-2-22-2-2200−2i2i−2i2i−2i2i−2i2i02-22-2000000000−2i2i002-2000000002−2−i2i22−2−i2i2−i2i2−i2i22−22−2000000000000
χ6022-2-22-2-2200−2i2i−2i2i−2i2i−2i2i02-22-2000000000−2i2i002-200000000−22i2−i2−22i2−i2i2−i2i2−i2−22−22000000000000
χ6144-4-4-444-4004i−4i−4i4i4i−4i−4i4i04-4-44000000000000000000000000000000000000000000000000000
χ6244-4-4-444-4004i−4i−4i4i−4i4i4i−4i0-444-4000000000000000000000000000000000000000000000000000
χ6344-4-4-444-400−4i4i4i−4i4i−4i−4i4i0-444-4000000000000000000000000000000000000000000000000000
χ6444-4-4-444-400−4i4i4i−4i−4i4i4i−4i04-4-44000000000000000000000000000000000000000000000000000
χ654-44-444-4-44-40000000040000-40000000000000022−2222−2200000000000000000000000000000000
χ664-44-444-4-44-40000000040000-400000000000000−2222−222200000000000000000000000000000000
χ674-44-444-4-4-4400000000-4000040000000000000000002i2−2i22i2−2i20000000000000000000000000000
χ684-44-444-4-4-4400000000-400004000000000000000000−2i22i2−2i22i20000000000000000000000000000
χ694-44-4-4-4444-400000000-4000040000000000000022−22−222200000000000000000000000000000000
χ704-44-4-4-4444-400000000-40000400000000000000−222222−2200000000000000000000000000000000
χ714-44-4-4-444-440000000040000-40000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ724-44-4-4-444-440000000040000-4000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ738-8-888-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000

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