Finite Group Databasebeta

← Group #260160

Character table — Group #260160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888822444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11-1-11-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11111111-1-1-1-111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-1
χ101111111111-1-1-1-11111111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-111
χ111111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-111
χ121111111111-1-1-1-11111111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-1
χ131111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111
χ141111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1-11111-1-1
χ151111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1
χ161111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-11-1-111-1-1-1-111
χ1722222222222222-2-2-222-2-222-2-22222-222-2-2-20000-2-2000000000000000000000000000000
χ1822222222222222-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222000022000000000000000000000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-2222222-2-2-22-2-2000022000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2222220000-2-2000000000000000000000000000000
χ2122222222-2-22222222-2-22-2-2-2220000-200-200222200000000000000000000-2-20000000000
χ2222222222-2-22222222-2-22-2-2-2220000-200-200-2-2-2-200000000000000000000220000000000
χ2322222222-2-22222-2-2-2-2-2-22-2-2-2-2000020020000000000000000000000000000002-22-20000
χ2422222222-2-22222-2-2-2-2-2-22-2-2-2-200002002000000000000000000000000000000-22-220000
χ2522222222-2-2-2-2-2-2222-2-22-222-2-20000-20020022-2-200000000000000000000-220000000000
χ2622222222-2-2-2-2-2-2222-2-22-222-2-20000-200200-2-222000000000000000000002-20000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222220000200-20000000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222220000200-2000000000000000000000000000000-222-20000
χ29222-2-22-2-2-2-222-2-200022002-20022-2-202-200000000000000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i2
χ30222-2-22-2-2-2-222-2-200022002-20022-2-202-200000000000000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i2
χ31222-2-22-2-2-2-222-2-200022002-200-2-2220-2200000000000000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i2
χ32222-2-22-2-2-2-222-2-200022002-200-2-2220-2200000000000000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i2
χ33222-2-22-2-2-2-2-2-2220002200-220022-2-20-2200000000000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i2
χ34222-2-22-2-2-2-2-2-2220002200-220022-2-20-2200000000000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i2
χ35222-2-22-2-2-2-2-2-2220002200-2200-2-22202-200000000000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i2
χ36222-2-22-2-2-2-2-2-2220002200-2200-2-22202-200000000000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i2
χ3722-22-2-2-222-2000022-22-2-2-200002i−2i2i−2i20002i−2i0000002i2i−2i−2i0000000000002-2000000000000
χ3822-22-2-2-222-2000022-22-2-2-200002i−2i2i−2i20002i−2i000000−2i−2i2i2i000000000000-22000000000000
χ3922-22-2-2-222-2000022-22-2-2-20000−2i2i−2i2i2000−2i2i0000002i2i−2i−2i000000000000-22000000000000
χ4022-22-2-2-222-2000022-22-2-2-20000−2i2i−2i2i2000−2i2i000000−2i−2i2i2i0000000000002-2000000000000
χ4122-22-2-2-222-20000-2-222-22200002i−2i2i−2i-2000−2i2i000000000022-2-20000000000002i−2i00000000
χ4222-22-2-2-222-20000-2-222-22200002i−2i2i−2i-2000−2i2i0000000000-2-222000000000000−2i2i00000000
χ4322-22-2-2-222-20000-2-222-2220000−2i2i−2i2i-20002i−2i000000000022-2-2000000000000−2i2i00000000
χ4422-22-2-2-222-20000-2-222-2220000−2i2i−2i2i-20002i−2i0000000000-2-2220000000000002i−2i00000000
χ452-2-2-2-2222002-22-22-2-20020002-200000000002-22-2002−22−22−22−22−22−22−22−200000000000000
χ462-2-2-2-2222002-22-22-2-20020002-200000000002-22-200−22−22−22−22−22−22−22−2200000000000000
χ472-2-2-2-2222002-22-22-2-20020002-20000000000-22-22002−22−22−22−2−22−22−22−2200000000000000
χ482-2-2-2-2222002-22-22-2-20020002-20000000000-22-2200−22−22−22−222−22−22−22−200000000000000
χ492-2-2-2-222200-22-222-2-2002000-2200000000002-2-22002−22−2−22−222−22−2−22−2200000000000000
χ502-2-2-2-222200-22-222-2-2002000-2200000000002-2-2200−22−222−22−2−22−222−22−200000000000000
χ512-2-2-2-222200-22-222-2-2002000-220000000000-222-2002−22−2−22−22−22−222−22−200000000000000
χ522-2-2-2-222200-22-222-2-2002000-220000000000-222-200−22−222−22−22−22−2−22−2200000000000000
χ53444-4-44-4-44444-4-4000-4-400-44000000000000000000000000000000000000000000000000
χ54444-4-44-4-444-4-444000-4-4004-4000000000000000000000000000000000000000000000000
χ5544-44-4-4-44-44000044-4-44-4400000000-400000000000000000000000000000000000000000
χ5644-44-4-4-44-440000-4-44-444-400000000400000000000000000000000000000000000000000
χ5744-4-44-44-44-40000000-44000000000000000000004i−4i000000000000000000000000000000
χ5844-4-44-44-44-40000000-4400000000000000000000−4i4i000000000000000000000000000000
χ5944-4-44-44-4-4400000004-40000004i−4i−4i4i000000000000000000000000000000000000000000
χ6044-4-44-44-4-4400000004-4000000−4i4i4i−4i000000000000000000000000000000000000000000
χ614-44-44-4-440000004-4400-40000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ624-44-44-4-440000004-4400-4000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ634-44-44-4-44000000-44-4004000000000000000000000000022−22−22220000000000000000000000
χ644-44-44-4-44000000-44-40040000000000000000000000000−222222−220000000000000000000000
χ654-4-4444-4-4004-4-44000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ664-4-4444-4-4004-4-4400000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ674-4-4444-4-400-444-4000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ684-4-4444-4-400-444-400000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ694-4-4-4-4444004-44-4-44400-4000-440000000000000000000000000000000000000000000000
χ704-4-4-4-444400-44-44-44400-40004-40000000000000000000000000000000000000000000000
χ718-888-8-88-8000000000000000000000000000000000000000000000000000000000000000

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