Finite Group Databasebeta

← Group #247122

Character table — Group #247122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444224444444444444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111
χ71111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111
χ81111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-11111-1-1-1-1
χ91111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-1
χ101111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-111
χ111111111111-1-1-1-1111111-1-11111-1-111-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-111
χ121111111111-1-1-1-1111111-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1
χ131111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-111
χ141111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-111-1-111-1-1
χ151111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-11-1-11111-1-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111
χ1722222222222222-2-222-2-2220000-2-2-2-22222-20000000000000000000000-20000-200000000
χ1822222222222222-2-222-2-2220000-2-2-2-2-2-2-2-2-2000000000000000000000020000200000000
χ192222222222-2-2-2-2-2-222-2-2-2-2000022-2-222-2-220000000000000000000000-20000200000000
χ202222222222-2-2-2-2-2-222-2-2-2-2000022-2-2-2-2222000000000000000000000020000-200000000
χ2122222222-2-2222222-2-222-2-2222222-2-20000-2-2-2-2-222000000000000000000000000000000
χ2222222222-2-2222222-2-222-2-2-2-2-2-222-2-20000-22222-2-2000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-20000-2-22200002000000000000000000000002-20002-2000000
χ2422222222-2-22222-2-2-2-2-2-2-2-20000-2-2220000200000000000000000000000-22000-22000000
χ2522222222-2-2-2-2-2-222-2-222222222-2-2-2-20000222-2-2-2-2000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-200002-2-22222000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222000022220000-2000000000000000000000002-2000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222000022220000-200000000000000000000000-220002-2000000
χ2922-222-2-2-22222-2-200-2-2002-2000000002-22-2000000022−2−222−2−222−2−222−2−200000000000000
χ3022-222-2-2-22222-2-200-2-2002-2000000002-22-20000000−2−222−2−222−2−222−2−22200000000000000
χ3122-222-2-2-22222-2-200-2-2002-200000000-22-22000000022−2−222−2−2−2−222−2−22200000000000000
χ3222-222-2-2-22222-2-200-2-2002-200000000-22-220000000−2−222−2−22222−2−222−2−200000000000000
χ3322-222-2-2-222-2-22200-2-200-22000000002-2-22000000022−2−2−2−22222−2−2−2−22200000000000000
χ3422-222-2-2-222-2-22200-2-200-22000000002-2-220000000−2−22222−2−2−2−22222−2−200000000000000
χ3522-222-2-2-222-2-22200-2-200-2200000000-222-2000000022−2−2−2−222−2−22222−2−200000000000000
χ3622-222-2-2-222-2-22200-2-200-2200000000-222-20000000−2−22222−2−222−2−2−2−22200000000000000
χ372-2-22-222-2002i−2i2i−2i2-2002-20022-2-22i−2i000000000002i−2i000000002−22−2i2−i2i2−i200000000002−2i2−i2
χ382-2-22-222-2002i−2i2i−2i2-2002-20022-2-22i−2i000000000002i−2i00000000−22−22−i2i2−i2i20000000000−22−i2i2
χ392-2-22-222-2002i−2i2i−2i2-2002-200-2-2222i−2i00000000000−2i2i000000002−22−2i2−i2i2−i20000000000−22−i2i2
χ402-2-22-222-2002i−2i2i−2i2-2002-200-2-2222i−2i00000000000−2i2i00000000−22−22−i2i2−i2i200000000002−2i2−i2
χ412-2-22-222-200−2i2i−2i2i2-2002-20022-2-2−2i2i00000000000−2i2i000000002−22−2−i2i2−i2i200000000002−2−i2i2
χ422-2-22-222-200−2i2i−2i2i2-2002-20022-2-2−2i2i00000000000−2i2i00000000−22−22i2−i2i2−i20000000000−22i2−i2
χ432-2-22-222-200−2i2i−2i2i2-2002-200-2-222−2i2i000000000002i−2i000000002−22−2−i2i2−i2i20000000000−22i2−i2
χ442-2-22-222-200−2i2i−2i2i2-2002-200-2-222−2i2i000000000002i−2i00000000−22−22i2−i2i2−i200000000002−2−i2i2
χ452-2-2-22-2222-20000-2-22-222002-22-2002-200000002-20000002-22-200000000000000002-20000
χ462-2-2-22-2222-20000-2-22-222002-22-2002-200000002-2000000-22-220000000000000000-220000
χ472-2-2-22-2222-20000-2-22-22200-22-22002-20000000-220000002-22-20000000000000000-220000
χ482-2-2-22-2222-20000-2-22-22200-22-22002-20000000-22000000-22-2200000000000000002-20000
χ492-2-2-22-222-220000-2-2-2222002-22-200-220000000-22002-22-20000000000000002-2000000000
χ502-2-2-22-222-220000-2-2-2222002-22-200-220000000-2200-22-22000000000000000-22000000000
χ512-2-2-22-222-220000-2-2-222200-22-2200-2200000002-2002-22-2000000000000000-22000000000
χ522-2-2-22-222-220000-2-2-222200-22-2200-2200000002-200-22-220000000000000002-2000000000
χ53444-4-4-44-40000004-400-440000000000000004-40000000000000000000000000000000000
χ54444-4-4-44-40000004-400-44000000000000000-440000000000000000000000000000000000
χ55444-4-4-44-4000000-44004-4004-4-44000000000000000000000000000000000000000000000
χ56444-4-4-44-4000000-44004-400-444-4000000000000000000000000000000000000000000000
χ5744-444-4-4-4-4-444-4-4004400-440000000000000000000000000000000000000000000000000
χ5844-444-4-4-4-4-4-4-4440044004-40000000000000000000000000000000000000000000000000
χ594-444-4-4-44004i−4i−4i4i000000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ604-444-4-4-44004i−4i−4i4i00000000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ614-444-4-4-4400−4i4i4i−4i000000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ624-444-4-4-4400−4i4i4i−4i00000000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ634-44-444-4-44-4000000-4400000000000000000000000000022−22−22220000000000000000000000
χ644-44-444-4-44-4000000-44000000000000000000000000000−222222−220000000000000000000000
χ654-44-444-4-4-440000004-40000000000000000000000022−22−222200000000000000000000000000
χ664-44-444-4-4-440000004-400000000000000000000000−222222−2200000000000000000000000000
χ674-4-44-444-4004i−4i4i−4i-4400-44000000−4i4i0000000000000000000000000000000000000000000
χ684-4-44-444-400−4i4i−4i4i-4400-440000004i−4i0000000000000000000000000000000000000000000
χ694-4-4-44-4444-40000444-4-4-400000000-4400000000000000000000000000000000000000000
χ704-4-4-44-444-44000044-44-4-4000000004-400000000000000000000000000000000000000000
χ7188-8-8-88-88000000000000000000000000000000000000000000000000000000000000000

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