Finite Group Databasebeta

← Group #349735

Character table — Group #349735

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444222244444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ91111111111111111-1-11-1-11111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-11-1-11111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-11-1-11111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-111-1-111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-11-1-11111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-11-1-1-1-1-1-11111-1-111111-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ141111111111111111-1-11-1-1-1-1-1-11111-1-111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ151111111111111111-1-11-1-1-1-1-1-11111-1-11-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-11
χ161111111111111111-1-11-1-1-1-1-1-11111-1-11-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1111-1
χ1722222222222-2-2-22-222-22200000000-2-2-200000022-2-2-2-2-222000000000000000000000000
χ1822222222222-2-2-22-222-22200000000-2-2-2000000-2-222-222-2-2000000000000000000000000
χ1922222222222-2-2-22-2-2-2-2-2-20000000022-200000022222-2-2-2-2000000000000000000000000
χ2022222222222-2-2-22-2-2-2-2-2-20000000022-2000000-2-2-2-222222000000000000000000000000
χ2122222222-2-2-2222-2222-2-2-22222-2-2-2-2-2-2-20000-2-2000020000220000000000000000000000
χ2222222222-2-2-2222-2222-2-2-2-2-2-2-22222-2-2-2000022000020000-2-20000000000000000000000
χ2322222222-2-2-2222-22-2-2-2222222222222-20000-2-20000-20000-2-20000000000000000000000
χ2422222222-2-2-2222-22-2-2-222-2-2-2-2-2-2-2-222-20000220000-20000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-20000000022222-2-2000000-200000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-200000000222-2-222000000-2000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222200000000-2-2222-2-20000002000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200000000-2-22-2-222000000200000022-2-2000000000000000000
χ29222-22-2-2-222-222-2-2-20020022-2-2000000-22-22-22-22-20002-200000000000000000000000000
χ30222-22-2-2-222-222-2-2-20020022-2-2000000-2-22-222-2-22000-2200000000000000000000000000
χ31222-22-2-2-222-222-2-2-200200-2-222000000-22-22-2-22-22000-2200000000000000000000000000
χ32222-22-2-2-222-222-2-2-200200-2-222000000-2-22-22-222-20002-200000000000000000000000000
χ33222-22-2-2-222-2-2-22-2200-20000002i2i−2i−2i0020000002-2000-22002i−2i2i−2i2i−2i000000000000000000
χ34222-22-2-2-222-2-2-22-2200-20000002i2i−2i−2i002000000-220002-2002i−2i−2i2i−2i2i000000000000000000
χ35222-22-2-2-222-2-2-22-2200-2000000−2i−2i2i2i0020000002-2000-2200−2i2i−2i2i−2i2i000000000000000000
χ36222-22-2-2-222-2-2-22-2200-2000000−2i−2i2i2i002000000-220002-200−2i2i2i−2i2i−2i000000000000000000
χ37222-22-2-2-2-2-2222-22-200-20022-2-200000020000-22002i−2i0002i−2i002i−2i−2i2i000000000000000000
χ38222-22-2-2-2-2-2222-22-200-20022-2-200000020000-2200−2i2i000−2i2i00−2i2i2i−2i000000000000000000
χ39222-22-2-2-2-2-2222-22-200-200-2-222000000200002-2002i−2i0002i−2i00−2i2i2i−2i000000000000000000
χ40222-22-2-2-2-2-2222-22-200-200-2-222000000200002-200−2i2i000−2i2i002i−2i−2i2i000000000000000000
χ41222-22-2-2-2-2-22-2-22220020000002i2i−2i−2i00-22-2-2200002i−2i000−2i2i−2i2i0000000000000000000000
χ42222-22-2-2-2-2-22-2-22220020000002i2i−2i−2i00-2-222-20000−2i2i0002i−2i−2i2i0000000000000000000000
χ43222-22-2-2-2-2-22-2-2222002000000−2i−2i2i2i00-22-2-220000−2i2i0002i−2i2i−2i0000000000000000000000
χ44222-22-2-2-2-2-22-2-2222002000000−2i−2i2i2i00-2-222-200002i−2i000−2i2i2i−2i0000000000000000000000
χ4522-2-2-22-220002-220-20002-22i−2i2i−2i2i−2i2i−2i2-2000000000000000000000022−2−222−2−2i2−i2i2−i2000000
χ4622-2-2-22-220002-220-20002-22i−2i2i−2i2i−2i2i−2i2-20000000000000000000000−2−222−2−222−i2i2−i2i2000000
χ4722-2-2-22-220002-220-20002-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000022−2−222−2−2−i2i2−i2i2000000
χ4822-2-2-22-220002-220-20002-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000−2−222−2−222i2−i2i2−i2000000
χ4922-2-2-22-220002-220-2000-222i−2i2i−2i−2i2i−2i2i-22000000000000000000000022−2−2−2−222i2−i2−i2i2000000
χ5022-2-2-22-220002-220-2000-222i−2i2i−2i−2i2i−2i2i-220000000000000000000000−2−22222−2−2−i2i2i2−i2000000
χ5122-2-2-22-220002-220-2000-22−2i2i−2i2i2i−2i2i−2i-22000000000000000000000022−2−2−2−222−i2i2i2−i2000000
χ5222-2-2-22-220002-220-2000-22−2i2i−2i2i2i−2i2i−2i-220000000000000000000000−2−22222−2−2i2−i2−i2i2000000
χ5344-44-4-44-40004-4-404000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5444-44-4-44-40004-4-40400000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5544-44-4-44-4000-4440-40000000004-4-44000000000000000000000000000000000000000000
χ5644-44-4-44-4000-4440-4000000000-444-4000000000000000000000000000000000000000000
χ5744-4-4-44-44000-44-4040004-400000000-440000000000000000000000000000000000000000
χ5844-4-4-44-44000-44-404000-44000000004-40000000000000000000000000000000000000000
χ594-444-44-4-44-44000-40000000000000000000000000000000000000022−2222−2200000000000000
χ604-444-44-4-44-44000-400000000000000000000000000000000000000−2222−222200000000000000
χ614-444-44-4-4-44-400040000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ624-444-44-4-4-44-40004000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ634-44-4-4-4444-4-400040000000000000000000000000000000000000000000000000022−220000
χ644-44-4-4-4444-4-4000400000000000000000000000000000000000000000000000000−22220000
χ654-44-4-4-444-444000-400000000000000000000000000000000000000000000000000002i2−2i200
χ664-44-4-4-444-444000-40000000000000000000000000000000000000000000000000000−2i22i200
χ674-4-4-4444-4000000004i−4i000000000000000000000000000000000002-2-222i−2i−2i2i0000000000
χ684-4-4-4444-4000000004i−4i00000000000000000000000000000000000-222-2−2i2i2i−2i0000000000
χ694-4-4-4444-400000000−4i4i000000000000000000000000000000000002-2-22−2i2i2i−2i0000000000
χ704-4-4-4444-400000000−4i4i00000000000000000000000000000000000-222-22i−2i−2i2i0000000000
χ718-8-888-8-88000000000000000000000000000000000000000000000000000000000000000

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