Finite Group Databasebeta

← Group #247180

Character table — Group #247180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422244444444888888888888888822444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-11-1-1-1-11-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111
χ711111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111
χ811111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-111-1-1-1-1
χ911111111-1-1-1-1111111111111-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-111111-1-1
χ1311111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-111
χ1411111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-111-1-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-1-111111-1-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-111
χ1722222222222222-2-222-2-22222-2-222-2-2-2220000-2-2-2-2000000000000000000000000000000
χ1822222222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2-200002222000000000000000000000000000000
χ19222222222222-2-222-2-222000022-2-2-2-2-20022220000000000000000000000-20000-2000000
χ20222222222222-2-222-2-222000022-2-2-2-2-200-2-2-2-20000000000000000000000200002000000
χ21222222222222-2-2-2-2-2-2-2-20000-2-2-2-2222000000000000000000000000002-202-2000000000
χ22222222222222-2-2-2-2-2-2-2-20000-2-2-2-222200000000000000000000000000-220-22000000000
χ2322222222-2-2-2-222-2-222-2-2222222-2-2-2-22-2-20000-2-222000000000000000000000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-2222000022-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-2220000-2-222-2-220022-2-20000000000000000000000-200002000000
χ2622222222-2-2-2-2-2-222-2-2220000-2-222-2-2200-2-222000000000000000000000020000-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-2000000000000000000000000002-20-22000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-200000000000000000000000000-2202-2000000000
χ29222-2-2-2-222i2i−2i−2i002-2002-200002i−2i00000002-22i−2i000022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000000000
χ30222-2-2-2-222i2i−2i−2i002-2002-200002i−2i00000002-22i−2i0000−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000000000
χ31222-2-2-2-222i2i−2i−2i002-2002-200002i−2i0000000-22−2i2i000022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000000000
χ32222-2-2-2-222i2i−2i−2i002-2002-200002i−2i0000000-22−2i2i0000−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000000000
χ33222-2-2-2-22−2i−2i2i2i002-2002-20000−2i2i00000002-2−2i2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000000000
χ34222-2-2-2-22−2i−2i2i2i002-2002-20000−2i2i00000002-2−2i2i0000−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000000000
χ35222-2-2-2-22−2i−2i2i2i002-2002-20000−2i2i0000000-222i−2i000022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000000000
χ36222-2-2-2-22−2i−2i2i2i002-2002-20000−2i2i0000000-222i−2i0000−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000000000
χ372-222-2-22-22i−2i2i−2i2-2002-2002i2i−2i−2i002i−2i0002-20000000000000000i2−i2i2−i22−22−200000000002−2i2−i2
χ382-222-2-22-22i−2i2i−2i2-2002-2002i2i−2i−2i002i−2i0002-20000000000000000−i2i2−i2i2−22−220000000000−22−i2i2
χ392-222-2-22-22i−2i2i−2i2-2002-200−2i−2i2i2i002i−2i000-220000000000000000i2−i2i2−i22−22−20000000000−22−i2i2
χ402-222-2-22-22i−2i2i−2i2-2002-200−2i−2i2i2i002i−2i000-220000000000000000−i2i2−i2i2−22−2200000000002−2i2−i2
χ412-222-2-22-2−2i2i−2i2i2-2002-2002i2i−2i−2i00−2i2i000-220000000000000000i2−i2i2−i2−22−2200000000002−2−i2i2
χ422-222-2-22-2−2i2i−2i2i2-2002-2002i2i−2i−2i00−2i2i000-220000000000000000−i2i2−i2i22−22−20000000000−22i2−i2
χ432-222-2-22-2−2i2i−2i2i2-2002-200−2i−2i2i2i00−2i2i0002-20000000000000000i2−i2i2−i2−22−220000000000−22i2−i2
χ442-222-2-22-2−2i2i−2i2i2-2002-200−2i−2i2i2i00−2i2i0002-20000000000000000−i2i2−i2i22−22−200000000002−2−i2i2
χ452-2-2-2-22220000-2-22-222-222-22-200002-200000002-20000002-22-200000000000000002-20000
χ462-2-2-2-22220000-2-22-222-222-22-200002-200000002-2000000-22-220000000000000000-220000
χ472-2-2-2-22220000-2-22-222-22-22-2200002-20000000-220000002-22-20000000000000000-220000
χ482-2-2-2-22220000-2-22-222-22-22-2200002-20000000-22000000-22-2200000000000000002-20000
χ492-2-2-2-22220000-2-2-22222-22-22-20000-220000000-22002-22-2000000000000000002-20000000
χ502-2-2-2-22220000-2-2-22222-22-22-20000-220000000-2200-22-2200000000000000000-220000000
χ512-2-2-2-22220000-2-2-22222-2-22-220000-2200000002-2002-22-200000000000000000-220000000
χ522-2-2-2-22220000-2-2-22222-2-22-220000-2200000002-200-22-22000000000000000002-20000000
χ53444-4-4-4-444i4i−4i−4i00-4400-440000−4i4i000000000000000000000000000000000000000000000
χ54444-4-4-4-44−4i−4i4i4i00-4400-4400004i−4i000000000000000000000000000000000000000000000
χ5544-4-44-44-400004-400-440000000000000000000004i−4i000000000000000000000000000000
χ5644-4-44-44-400004-400-44000000000000000000000−4i4i000000000000000000000000000000
χ5744-4-44-44-40000-44004-4004i−4i−4i4i00000000000000000000000000000000000000000000000
χ5844-4-44-44-40000-44004-400−4i4i4i−4i00000000000000000000000000000000000000000000000
χ594-444-4-44-44i−4i4i−4i-4400-4400000000−4i4i0000000000000000000000000000000000000000000
χ604-444-4-44-4−4i4i−4i4i-4400-44000000004i−4i0000000000000000000000000000000000000000000
χ614-44-444-4-44-4-4400000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ624-44-444-4-44-4-440000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ634-44-444-4-4-444-400000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ644-44-444-4-4-444-40000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ654-4-444-4-440000004400-4-400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ664-4-444-4-440000004400-4-40000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ674-4-444-4-44000000-4-4004400000000000000000000022−22−222200000000000000000000000000
χ684-4-444-4-44000000-4-40044000000000000000000000−222222−2200000000000000000000000000
χ694-4-4-4-44440000444-4-4-4-4400000000-4400000000000000000000000000000000000000000
χ704-4-4-4-4444000044-44-4-44-4000000004-400000000000000000000000000000000000000000
χ7188-88-88-8-8000000000000000000000000000000000000000000000000000000000000000

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