Finite Group Databasebeta

← Group #7504412

Character table — Group #7504412

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444444444888888888888881616161611111111222244444444444444448888888888888816161616
order12222222444422224444888888884444444444888844442222222244442222444488888888444444444488884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11
χ511111111111111-1-111-1-11111111111-1-1-111-1-1-1-1-1-1-111-1-111111111111111-1-111-1-11111111111-1-1-111-1-1-1-1-1-1-111-1-1
χ611111111111111-1-111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-11111111111111111-1-111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-11-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-11-11
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111111-11-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111111-11-1
χ9111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11111111-1-1-1-11-1111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11111111-1-1-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-111-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111-111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111-111
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-111-11-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-111-11-1-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-111111-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-111111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-111-111-1-11-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-111-111-1-11-1-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1111
χ1722222222-2-2-2-22222-2-222000000000000-20000-20000000022222222-2-2-2-22222-2-222000000000000-20000-200000000
χ1822222222-2-2-2-222-2-2-2-2-2-20000000000002000020000000022222222-2-2-2-222-2-2-2-2-2-200000000000020000200000000
χ1922222222-2-2-2-2-2-22222-2-200000000000020000-20000000022222222-2-2-2-2-2-22222-2-200000000000020000-200000000
χ2022222222-2-2-2-2-2-2-2-22222000000000000-2000020000000022222222-2-2-2-2-2-2-2-22222000000000000-20000200000000
χ21222-2-2-22-2-22-220000000022-2-200002i−2i0002i−2i00000000000222-2-2-22-2-22-220000000022-2-200002i−2i0002i−2i00000000000
χ22222-2-2-22-2-22-220000000022-2-20000−2i2i000−2i2i00000000000222-2-2-22-2-22-220000000022-2-20000−2i2i000−2i2i00000000000
χ23222-2-2-22-2-22-2200000000-2-22200002i−2i000−2i2i00000000000222-2-2-22-2-22-2200000000-2-22200002i−2i000−2i2i00000000000
χ24222-2-2-22-2-22-2200000000-2-2220000−2i2i0002i−2i00000000000222-2-2-22-2-22-2200000000-2-2220000−2i2i0002i−2i00000000000
χ252-222-2-2-2200002-22-2002-2i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i200002-222-2-2-2200002-22-2002-2i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ262-222-2-2-2200002-22-2002-2−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i200002-222-2-2-2200002-22-2002-2−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ272-222-2-2-2200002-2-2200-22i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i200002-222-2-2-2200002-2-2200-22i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ282-222-2-2-2200002-2-2200-22−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i200002-222-2-2-2200002-2-2200-22−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ292-222-2-2-220000-222-200-22i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i200002-222-2-2-220000-222-200-22i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ302-222-2-2-220000-222-200-22−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i200002-222-2-2-220000-222-200-22−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ312-222-2-2-220000-22-22002-2i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i200002-222-2-2-220000-22-22002-2i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ322-222-2-2-220000-22-22002-2−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i200002-222-2-2-220000-22-22002-2−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ332-2-22-222-222-2-20000000000002i−2i2i−2i002i−2i0002-20000000002-2-22-222-222-2-20000000000002i−2i2i−2i002i−2i0002-2000000000
χ342-2-22-222-222-2-20000000000002i−2i2i−2i00−2i2i000-220000000002-2-22-222-222-2-20000000000002i−2i2i−2i00−2i2i000-22000000000
χ352-2-22-222-222-2-2000000000000−2i2i−2i2i002i−2i000-220000000002-2-22-222-222-2-2000000000000−2i2i−2i2i002i−2i000-22000000000
χ362-2-22-222-222-2-2000000000000−2i2i−2i2i00−2i2i0002-20000000002-2-22-222-222-2-2000000000000−2i2i−2i2i00−2i2i0002-2000000000
χ37444-4-4-44-44-44-40000000000000000000000000000000000444-4-4-44-44-44-40000000000000000000000000000000000
χ3844-444-4-4-4000000000000000022−22−222200000000000000000044-444-4-4-4000000000000000022−22−2222000000000000000000
χ3944-444-4-4-40000000000000000−222222−2200000000000000000044-444-4-4-40000000000000000−222222−22000000000000000000
χ4044-4-4-44-44000000004i−4i000000000000000000000000000044-4-4-44-44000000004i−4i0000000000000000000000000000
χ4144-4-4-44-4400000000−4i4i000000000000000000000000000044-4-4-44-4400000000−4i4i0000000000000000000000000000
χ424-44-444-4-40000000000002i2−2i2−2i22i200000000000000000000004-44-444-4-40000000000002i2−2i2−2i22i20000000000000000000000
χ434-44-444-4-4000000000000−2i22i22i2−2i200000000000000000000004-44-444-4-4000000000000−2i22i22i2−2i20000000000000000000000
χ444-4-44-444-4-4-44400000000000000000000000000000000004-4-44-444-4-4-4440000000000000000000000000000000000
χ454-4-4-44-4444-4-4400000000000000000000000000000000004-4-4-44-4444-4-440000000000000000000000000000000000
χ464-4-4-44-444-444-400000000000000000000000000000000004-4-4-44-444-444-40000000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ481111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111
χ4911111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-111111-1-11
χ5011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-111-1
χ5111111111111111-1-111-1-11111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-111
χ5211111111111111-1-111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1
χ5311111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111111-1-11-1-1-1-11-11-1
χ5411111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-1-1111-1-1-1-1-11-11
χ55111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-11
χ56111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111111-1-1-111-1-11-1
χ57111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111111-111-1-1-11-1-1
χ58111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11-1-1-1-1-111-1-11-111
χ59111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1111-1
χ60111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-1-1111-1-1-1-1-11
χ61111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-111-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-111-1111
χ62111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1111-1-1111-1-1-1
χ6322222222-2-2-2-22222-2-222000000000000-20000-200000000-2-2-2-2-2-2-2-22222-2-2-2-222-2-200000000000020000200000000
χ6422222222-2-2-2-222-2-2-2-2-2-200000000000020000200000000-2-2-2-2-2-2-2-22222-2-2222222000000000000-20000-200000000
χ6522222222-2-2-2-2-2-22222-2-200000000000020000-200000000-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000-20000200000000
χ6622222222-2-2-2-2-2-2-2-22222000000000000-20000200000000-2-2-2-2-2-2-2-222222222-2-2-2-200000000000020000-200000000
χ67222-2-2-22-2-22-220000000022-2-200002i−2i0002i−2i00000000000-2-2-2222-222-22-200000000-2-2220000−2i2i000−2i2i00000000000
χ68222-2-2-22-2-22-220000000022-2-20000−2i2i000−2i2i00000000000-2-2-2222-222-22-200000000-2-22200002i−2i0002i−2i00000000000
χ69222-2-2-22-2-22-2200000000-2-22200002i−2i000−2i2i00000000000-2-2-2222-222-22-20000000022-2-20000−2i2i0002i−2i00000000000
χ70222-2-2-22-2-22-2200000000-2-2220000−2i2i0002i−2i00000000000-2-2-2222-222-22-20000000022-2-200002i−2i000−2i2i00000000000
χ712-222-2-2-2200002-22-2002-2i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i20000-22-2-2222-20000-22-2200-22−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ722-222-2-2-2200002-22-2002-2−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i20000-22-2-2222-20000-22-2200-22i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ732-222-2-2-2200002-2-2200-22i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i20000-22-2-2222-20000-222-2002-2−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ742-222-2-2-2200002-2-2200-22−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i20000-22-2-2222-20000-222-2002-2i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ752-222-2-2-220000-222-200-22i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i20000-22-2-2222-200002-2-22002-2−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ762-222-2-2-220000-222-200-22−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i20000-22-2-2222-200002-2-22002-2i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ772-222-2-2-220000-22-22002-2i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i20000-22-2-2222-200002-22-200-22−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ782-222-2-2-220000-22-22002-2−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i20000-22-2-2222-200002-22-200-22i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ792-2-22-222-222-2-20000000000002i−2i2i−2i002i−2i0002-2000000000-222-22-2-22-2-222000000000000−2i2i−2i2i00−2i2i000-22000000000
χ802-2-22-222-222-2-20000000000002i−2i2i−2i00−2i2i000-22000000000-222-22-2-22-2-222000000000000−2i2i−2i2i002i−2i0002-2000000000
χ812-2-22-222-222-2-2000000000000−2i2i−2i2i002i−2i000-22000000000-222-22-2-22-2-2220000000000002i−2i2i−2i00−2i2i0002-2000000000
χ822-2-22-222-222-2-2000000000000−2i2i−2i2i00−2i2i0002-2000000000-222-22-2-22-2-2220000000000002i−2i2i−2i002i−2i000-22000000000
χ83444-4-4-44-44-44-40000000000000000000000000000000000-4-4-4444-44-44-440000000000000000000000000000000000
χ8444-444-4-4-4000000000000000022−22−2222000000000000000000-4-44-4-44440000000000000000−222222−22000000000000000000
χ8544-444-4-4-40000000000000000−222222−22000000000000000000-4-44-4-4444000000000000000022−22−2222000000000000000000
χ8644-4-4-44-44000000004i−4i0000000000000000000000000000-4-4444-44-400000000−4i4i0000000000000000000000000000
χ8744-4-4-44-4400000000−4i4i0000000000000000000000000000-4-4444-44-4000000004i−4i0000000000000000000000000000
χ884-44-444-4-40000000000002i2−2i2−2i22i20000000000000000000000-44-44-4-444000000000000−2i22i22i2−2i20000000000000000000000
χ894-44-444-4-4000000000000−2i22i22i2−2i20000000000000000000000-44-44-4-4440000000000002i2−2i2−2i22i20000000000000000000000
χ904-4-44-444-4-4-4440000000000000000000000000000000000-444-44-4-4444-4-40000000000000000000000000000000000
χ914-4-4-44-4444-4-440000000000000000000000000000000000-4444-44-4-4-444-40000000000000000000000000000000000
χ924-4-4-44-444-444-40000000000000000000000000000000000-4444-44-4-44-4-440000000000000000000000000000000000

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