Finite Group Databasebeta

← Group #258388

Character table — Group #258388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888822444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11-1-1111-1-1-1-1111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111
χ71111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ81111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1-1-1
χ9111111111111-1-1-1-11111-1-11-1-111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-1-1
χ10111111111111-1-1-1-11111-1-11-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-111111-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-1
χ13111111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111
χ14111111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-1
χ15111111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111
χ172222222222-2-2222222-2-222-2-2-22222-222-200-2-2-2-200000000000000000000000000000000
χ182222222222-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-200222200000000000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-2-2222222-2-2-2200-2-22200000000000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-2-2-2-2-22220022-2-200000000000000000000000000000000
χ2122222222-2-2222222-2-222-2-2-2220000-200-222000022000000000000000000-200-200000000
χ2222222222-2-2222222-2-222-2-2-2220000-200-2-2-20000-2-2000000000000000000200200000000
χ2322222222-2-222-2-2-2-2-2-22222-2-2-20000-2002220000-2-2000000000000000000200-200000000
χ2422222222-2-222-2-2-2-2-2-22222-2-2-20000-2002-2-2000022000000000000000000-200200000000
χ2522222222-2-2-2-22222-2-2-2-2-2-22-2-2000020020000000000000000000000000002-202-2000000
χ2622222222-2-2-2-22222-2-2-2-2-2-22-2-200002002000000000000000000000000000-220-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222220000200-20000000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222220000200-2000000000000000000000000000-2202-2000000
χ29222-2-22-2-2-2-20022-2-222002-200022-2-202-200000000000000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i2
χ30222-2-22-2-2-2-20022-2-222002-200022-2-202-200000000000000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i2
χ31222-2-22-2-2-2-20022-2-222002-2000-2-2220-2200000000000000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i2
χ32222-2-22-2-2-2-20022-2-222002-2000-2-2220-2200000000000000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i2
χ33222-2-22-2-2-2-200-2-2222200-2200022-2-20-2200000000000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i2
χ34222-2-22-2-2-2-200-2-2222200-2200022-2-20-2200000000000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i2
χ35222-2-22-2-2-2-200-2-2222200-22000-2-22202-200000000000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i2
χ36222-2-22-2-2-2-200-2-2222200-22000-2-22202-200000000000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i2
χ3722-22-2-22-2002-22i−2i2i−2i002-20002i−2i000000002i−2i00002-2i2i2−i2−i222−2−22−22−2i2−i2i2−i200000000000000
χ3822-22-2-22-2002-22i−2i2i−2i002-20002i−2i000000002i−2i00002-2−i2−i2i2i2−2−222−22−22−i2i2−i2i200000000000000
χ3922-22-2-22-2002-22i−2i2i−2i002-20002i−2i00000000−2i2i0000-22i2i2−i2−i222−2−2−22−22−i2i2−i2i200000000000000
χ4022-22-2-22-2002-22i−2i2i−2i002-20002i−2i00000000−2i2i0000-22−i2−i2i2i2−2−2222−22−2i2−i2i2−i200000000000000
χ4122-22-2-22-2002-2−2i2i−2i2i002-2000−2i2i000000002i−2i0000-22i2i2−i2−i2−2−2222−22−2−i2i2−i2i200000000000000
χ4222-22-2-22-2002-2−2i2i−2i2i002-2000−2i2i000000002i−2i0000-22−i2−i2i2i222−2−2−22−22i2−i2i2−i200000000000000
χ4322-22-2-22-2002-2−2i2i−2i2i002-2000−2i2i00000000−2i2i00002-2i2i2−i2−i2−2−222−22−22i2−i2i2−i200000000000000
χ4422-22-2-22-2002-2−2i2i−2i2i002-2000−2i2i00000000−2i2i00002-2−i2−i2i2i222−2−22−22−2−i2i2−i2i200000000000000
χ452-22-22-22-22-22200002-2-2-200-2002i−2i2i−2i2000002i−2i000000002-22-200000000000000002i−2i0000
χ462-22-22-22-22-22200002-2-2-200-2002i−2i2i−2i2000002i−2i00000000-22-220000000000000000−2i2i0000
χ472-22-22-22-22-22200002-2-2-200-200−2i2i−2i2i200000−2i2i000000002-22-20000000000000000−2i2i0000
χ482-22-22-22-22-22200002-2-2-200-200−2i2i−2i2i200000−2i2i00000000-22-2200000000000000002i−2i0000
χ492-22-22-22-22-2-2-200002-222002002i−2i2i−2i-200000−2i2i00002i−2i2i−2i0000000000002-2000000000000
χ502-22-22-22-22-2-2-200002-222002002i−2i2i−2i-200000−2i2i0000−2i2i−2i2i000000000000-22000000000000
χ512-22-22-22-22-2-2-200002-22200200−2i2i−2i2i-2000002i−2i00002i−2i2i−2i000000000000-22000000000000
χ522-22-22-22-22-2-2-200002-22200200−2i2i−2i2i-2000002i−2i0000−2i2i−2i2i0000000000002-2000000000000
χ53444-4-44-4-4440044-4-4-4-400-440000000000000000000000000000000000000000000000000
χ54444-4-44-4-44400-4-444-4-4004-40000000000000000000000000000000000000000000000000
χ5544-44-4-44-400-444i−4i4i−4i00-44000−4i4i0000000000000000000000000000000000000000000000
χ5644-44-4-44-400-44−4i4i−4i4i00-440004i−4i0000000000000000000000000000000000000000000000
χ5744-4-44-4-4400004i−4i−4i4i0000000000000000000000000000000002i−2i−2i2i-222-200000000000000
χ5844-4-44-4-4400004i−4i−4i4i000000000000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5944-4-44-4-440000−4i4i4i−4i0000000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ6044-4-44-4-440000−4i4i4i−4i000000000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ614-444-4-4-444-4000000-4400000000000000000004i−4i00000000000000000000000000000000
χ624-444-4-4-444-4000000-440000000000000000000−4i4i00000000000000000000000000000000
χ634-444-4-4-44-440000004-400000004i−4i−4i4i000000000000000000000000000000000000000000
χ644-444-4-4-44-440000004-40000000−4i4i4i−4i000000000000000000000000000000000000000000
χ654-44-44-44-4-44440000-44-4-4004000000-400000000000000000000000000000000000000000
χ664-44-44-44-4-44-4-40000-444400-4000000400000000000000000000000000000000000000000
χ674-4-4-4-4444004-4000000-44000000000000000000000000022−22−22220000000000000000000000
χ684-4-4-4-4444004-4000000-440000000000000000000000000−222222−220000000000000000000000
χ694-4-4-4-444400-440000004-400000000000000000000022−22−222200000000000000000000000000
χ704-4-4-4-444400-440000004-4000000000000000000000−222222−2200000000000000000000000000
χ718-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000

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