Finite Group Databasebeta

← Group #322185

Character table — Group #322185

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444448888888844888888888888888888882244444488888888444488882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-222-222222222-2-200000000-2-2-2-20000000000000000000000002-22-200000000
χ182222222222-2-2-222-222222222-2-200000000-2-2-2-2000000000000000000000000-22-2200000000
χ192222222222-2-2-222-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000002-2-2200000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000-222-200000000
χ2122222222-2-2222-2-2200000000-2-22222-2-2-2-200000000000022-2-222-2-200000000000000000000
χ2222222222-2-2222-2-2200000000-2-22222-2-2-2-2000000000000-2-222-2-22200000000000000000000
χ2322222222-2-2222-2-2200000000-2-2-2-2-2-2222200000000000022-2-2-2-22200000000000000000000
χ2422222222-2-2222-2-2200000000-2-2-2-2-2-22222000000000000-2-22222-2-200000000000000000000
χ25222-2-2-2-220022-200-22222−2−2−2−200000022-2-222−2−22222−2−2−2−2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2000000000000
χ26222-2-2-2-220022-200-22222−2−2−2−200000022-2-222−2−22222−2−2−2−200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2000000000000
χ27222-2-2-2-220022-200-22222−2−2−2−2000000-2-22222−2−2−2−2−2−22222002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000
χ28222-2-2-2-220022-200-22222−2−2−2−2000000-2-22222−2−2−2−2−2−2222200−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i2000000000000
χ29222-2-2-2-220022-200-2−2−2−2−2222200000022-2-2−2−222−2−2−2−22222002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2000000000000
χ30222-2-2-2-220022-200-2−2−2−2−2222200000022-2-2−2−222−2−2−2−2222200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000
χ31222-2-2-2-220022-200-2−2−2−2−22222000000-2-222−2−2222222−2−2−2−2002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i2000000000000
χ32222-2-2-2-220022-200-2−2−2−2−22222000000-2-222−2−2222222−2−2−2−200−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i2000000000000
χ332-2-222-2-2222-222-2-2-2000000002-222-2-22-22-2000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ342-2-222-2-2222-222-2-2-2000000002-222-2-22-22-200000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ352-2-222-2-2222-222-2-2-2000000002-2-2-222-22-22000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ362-2-222-2-2222-222-2-2-2000000002-2-2-222-22-2200000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ372-2-222-2-22-2-22-2-222222-2-222-2-22-2000000002-22-200000000000000000000000000002-22-20000
χ382-2-222-2-22-2-22-2-222222-2-222-2-22-2000000002-22-20000000000000000000000000000-22-220000
χ392-2-222-2-22-2-22-2-2222-2-222-2-2222-200000000-22-2200000000000000000000000000002-2-220000
χ402-2-222-2-22-2-22-2-2222-2-222-2-2222-200000000-22-220000000000000000000000000000-222-20000
χ412-2-222-2-22-2-2-22222-222-2-222-2-2-2222-2-2-22-22-22-2222-2-222-2-20000000000000000000000000000
χ422-2-222-2-22-2-2-22222-222-2-222-2-2-22-2-2222-22-2-22-22-2-222-2-2220000000000000000000000000000
χ432-2-222-2-22-2-2-22222-2-2-222-2-222-2222-2-2-22-222-22-2-2-222-2-2220000000000000000000000000000
χ442-2-222-2-22-2-2-22222-2-2-222-2-222-22-2-2222-22-22-22-222-2-222-2-20000000000000000000000000000
χ452-2-2-2-222200-22-200222−2−2−2−2220000002-2-22−222−2−2−22222−2−22-200002-22−2−222−2−22000000000000
χ462-2-2-2-222200-22-200222−2−2−2−2220000002-2-22−222−2−2−22222−2−2-220000-22−222−2−222−2000000000000
χ472-2-2-2-222200-22-200222−2−2−2−222000000-222-2−222−222−2−2−2−2222-20000-222−2−22−222−2000000000000
χ482-2-2-2-222200-22-200222−2−2−2−222000000-222-2−222−222−2−2−2−222-2200002-2−222−22−2−22000000000000
χ492-2-2-2-222200-22-2002−2−22222−2−20000002-2-222−2−2222−2−2−2−2222-200002-2−222−2−222−2000000000000
χ502-2-2-2-222200-22-2002−2−22222−2−20000002-2-222−2−2222−2−2−2−222-220000-222−2−222−2−22000000000000
χ512-2-2-2-222200-22-2002−2−22222−2−2000000-222-22−2−22−2−22222−2−22-20000-22−222−22−2−22000000000000
χ522-2-2-2-222200-22-2002−2−22222−2−2000000-222-22−2−22−2−22222−2−2-2200002-22−2−22−222−2000000000000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000000
χ54444-4-4-4-4400-4-4400422222222−22−22−22−220000000000−22−222222000000000000000000000000000000000000
χ55444-4-4-4-4400-4-44004−22−22−22−222222222200000000002222−22−22000000000000000000000000000000000000
χ5644-44-44-4-4000000002i2−2i22i2−2i22i2−2i22i2−2i20022−2222−22000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ5744-44-44-4-4000000002i2−2i22i2−2i22i2−2i22i2−2i200−2222−222200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ5844-44-44-4-400000000−2i22i2−2i22i2−2i22i2−2i22i20022−2222−2200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ5944-44-44-4-400000000−2i22i2−2i22i2−2i22i2−2i22i200−2222−2222000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ6044-4-44-44-44-40004-4000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000
χ6144-4-44-44-44-40004-400000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000
χ6244-4-44-44-4-44000-4404i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000
χ6344-4-44-44-4-44000-440−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000
χ644-444-4-44-4000000002i2−2i2−2i22i22i2−2i2−2i22i20022−22−2222000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ654-444-4-44-4000000002i2−2i2−2i22i22i2−2i2−2i22i200−222222−2200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ664-444-4-44-400000000−2i22i22i2−2i2−2i22i22i2−2i20022−22−222200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ674-444-4-44-400000000−2i22i22i2−2i2−2i22i22i2−2i200−222222−22000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ684-44-444-4-44-4000-4404i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ694-44-444-4-44-4000-440−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ704-44-444-4-4-440004-4000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000
χ714-44-444-4-4-440004-400000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000
χ724-4-444-4-44444-4-4-4-4400000000-44000000000000000000000000000000000000000000000000
χ734-4-4-4-4444004-4400-42222−22−22−22−222222000000000022−22−2222000000000000000000000000000000000000
χ744-4-4-4-4444004-4400-4−22−2222222222−22−220000000000−222222−22000000000000000000000000000000000000

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