Finite Group Databasebeta

← Group #349661

Character table — Group #349661

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444222244444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ611111111111111111111-1-11-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ131111111111111111-1-1-1-1-1-11-1-1-1-111111-1-111-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-11-1-1-1-111111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-22222222-222-2-22222-2-2-200-20000-2-20000000000000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-222-2-2-2-2-2-2-20020000220000000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-222-222-2-2-2-2-2-2-22200-20000220000000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2-2-2-2222222-2220020000-2-20000000000000000000000000000
χ2122222222-2-2-22222-2000022-2-2-2-2-20000-200222-2-2-2-2000000220000000000000000000000
χ2222222222-2-2-22222-2000022-2-2-2-2-20000-200-2-222222000000-2-20000000000000000000000
χ2322222222-2-2-22222-20000-2-2-222220000-20022-2-2-222000000-2-20000000000000000000000
χ2422222222-2-2-22222-20000-2-2-222220000-200-2-2-222-2-2000000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000222-2-222000020000-200000022-2-20022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-20000222-2-222000020000-2000000-2-22200-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2222-2-2000020000200000022-2-200-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2222-2-20000200002000000-2-2220022-2-2000000000000000000
χ292-222-22-2-222-222-2-2-222-2-200200000000-22-22-202-200002-22-2000000000000000000000000
χ302-222-22-2-222-222-2-2-222-2-200200000000-22-2-220-220000-22-22000000000000000000000000
χ312-222-22-2-222-222-2-2-2-2-22200200000000-2-222-202-20000-22-22000000000000000000000000
χ322-222-22-2-222-222-2-2-2-2-22200200000000-2-22-220-2200002-22-2000000000000000000000000
χ332-222-22-2-222-2-2-222-222-2-200-2000000002-22000002i−2i0000002i−2i2i−2i2i−2i000000000000000000
χ342-222-22-2-222-2-2-222-222-2-200-2000000002-2200000−2i2i000000−2i2i−2i2i−2i2i000000000000000000
χ352-222-22-2-222-2-2-222-2-2-22200-20000000022-2000002i−2i0000002i−2i−2i2i−2i2i000000000000000000
χ362-222-22-2-222-2-2-222-2-2-22200-20000000022-200000−2i2i000000−2i2i2i−2i2i−2i000000000000000000
χ372-222-22-2-2-2-2222-2-22000000-200002i2i−2i−2i2002-20-22002i−2i0000002i−2i−2i2i000000000000000000
χ382-222-22-2-2-2-2222-2-22000000-200002i2i−2i−2i200-2202-2002i−2i000000−2i2i2i−2i000000000000000000
χ392-222-22-2-2-2-2222-2-22000000-20000−2i−2i2i2i2002-20-2200−2i2i000000−2i2i2i−2i000000000000000000
χ402-222-22-2-2-2-2222-2-22000000-20000−2i−2i2i2i200-2202-200−2i2i0000002i−2i−2i2i000000000000000000
χ412-222-22-2-2-2-22-2-2222000000200002i2i−2i−2i-200000002i−2i−2i2i-222-2−2i2i0000000000000000000000
χ422-222-22-2-2-2-22-2-2222000000200002i2i−2i−2i-20000000−2i2i−2i2i2-2-222i−2i0000000000000000000000
χ432-222-22-2-2-2-22-2-222200000020000−2i−2i2i2i-200000002i−2i2i−2i2-2-22−2i2i0000000000000000000000
χ442-222-22-2-2-2-22-2-222200000020000−2i−2i2i2i-20000000−2i2i2i−2i-222-22i−2i0000000000000000000000
χ452-22-22-22-22-2-2000022i−2i2i−2i2-202-2002i−2i2i−2i000000000000000000000022−2−222−2−2i2−i2i2−i2000000
χ462-22-22-22-22-2-2000022i−2i2i−2i2-202-2002i−2i2i−2i0000000000000000000000−2−222−2−222−i2i2−i2i2000000
χ472-22-22-22-22-2-2000022i−2i2i−2i-220-2200−2i2i−2i2i000000000000000000000022−2−2−2−222i2−i2−i2i2000000
χ482-22-22-22-22-2-2000022i−2i2i−2i-220-2200−2i2i−2i2i0000000000000000000000−2−22222−2−2−i2i2i2−i2000000
χ492-22-22-22-22-2-200002−2i2i−2i2i2-202-200−2i2i−2i2i000000000000000000000022−2−222−2−2−i2i2−i2i2000000
χ502-22-22-22-22-2-200002−2i2i−2i2i2-202-200−2i2i−2i2i0000000000000000000000−2−222−2−222i2−i2i2−i2000000
χ512-22-22-22-22-2-200002−2i2i−2i2i-220-22002i−2i2i−2i000000000000000000000022−2−2−2−222−i2i2i2−i2000000
χ522-22-22-22-22-2-200002−2i2i−2i2i-220-22002i−2i2i−2i0000000000000000000000−2−22222−2−2i2−i2−i2i2000000
χ53444-4-4-4-444-440000-44i−4i−4i4i000000000000000000000000000000000000000000000000000
χ54444-4-4-4-444-440000-4−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ55444-4-4-4-44-44-400004000000000004-4-440000000000000000000000000000000000000000
χ56444-4-4-4-44-44-40000400000000000-444-40000000000000000000000000000000000000000
χ5744-444-4-4-40004-44-400000000000000000000000000000000000000000022−2222−220000000000
χ5844-444-4-4-40004-44-4000000000000000000000000000000000000000000−2222−22220000000000
χ5944-444-4-4-4000-44-440000000000000000000000000000000000000022−2222−2200000000000000
χ6044-444-4-4-4000-44-4400000000000000000000000000000000000000−2222−222200000000000000
χ614-44-44-44-4-4440000-400004-40-440000000000000000000000000000000000000000000000
χ624-44-44-44-4-4440000-40000-4404-40000000000000000000000000000000000000000000000
χ634-4-44-4-4440004-4-44000000000000000000000000000000000000000000000000000022−2200
χ644-4-44-4-4440004-4-440000000000000000000000000000000000000000000000000000−222200
χ654-4-44-4-444000-444-40000000000000000000000000000000000000000000000000022−220000
χ664-4-44-4-444000-444-400000000000000000000000000000000000000000000000000−22220000
χ674-4-4-444-44000000000000000004-4000000000000000000000000002-2-222-2-220000000000
χ684-4-4-444-44000000000000000004-400000000000000000000000000-222-2-222-20000000000
χ694-4-4-444-4400000000000000000-44000000000000000000000000002-2-22-222-20000000000
χ704-4-4-444-4400000000000000000-4400000000000000000000000000-222-22-2-220000000000
χ7188-8-8-888-8000000000000000000000000000000000000000000000000000000000000000

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