Finite Group Databasebeta

← Group #12082412

Character table — Group #12082412

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222222244444444444444444448888888888888888888888888888881010101010101616161616161616161620202020203232323240404040404040408080
order1222444455888810101010101048820202020202020204040404040404040248888881010101020202020202040404040404040404040404022444444404040404040404048888202020202488888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-11-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1111111-1-1-1-111-1-111-11
χ111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-11
χ121111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1111111-1-111-1-111-1-1-11
χ1722222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000−1+52−1−52−1+52−1−520000000000
χ1822222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+52000001−521+521−521+520000000000
χ1922222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+520000000000
χ2022222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000221−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−520000000000
χ2122222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+520000002-2−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−521−521+520000000000
χ2222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52000000-221−521−521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−520000000000
χ2322222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-222-2-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-22−1+52−1+52−1−52−1−521−521−521+521+52000001−521+52−1+52−1−520000000000
χ2422222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002-21−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+520000000000
χ2522222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+520000000000
χ2622222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521+521−521−521+521+521−521−52000001+521−521+521−520000000000
χ2722222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−521+521−520000000000
χ2822222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000221+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+520000000000
χ2922222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+521+521−520000000000
χ3022222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+520000000000
χ3122222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222-2-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-22−1−52−1−52−1+52−1+521+521+521−521−52000001+521−52−1−52−1+520000000000
χ3222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002-21+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−520000000000
χ3322222-2-22220000222222-20022-2-2-2-222000000002-20000002222-2-2-2-2-2-200000000000022-2-2-2-20000000000200000000-2200000000
χ3422222-2-22220000222222-20022-2-2-2-222000000002-20000002222-2-2-2-2-2-2000000000000-2-222220000000000-2000000002-200000000
χ3522222-2-22220000222222-20022-2-2-2-22200000000-22000000-2-2-2-22222-2-200000000000022-2-2-2-200000000002000000002-200000000
χ3622222-2-22220000222222-20022-2-2-2-22200000000-22000000-2-2-2-22222-2-2000000000000-2-222220000000000-200000000-2200000000
χ372222-222-2222222222222-2-2-2-2-22222-2-2222222220000000000000000-2-2-2-2-2-2000000002222-2-20000000000-2-2-22200000000000000
χ382222-222-2222222222222-2-2-2-2-22222-2-2222222220000000000000000-2-2-2-2-2-200000000-2-2-2-2220000000000222-2-200000000000000
χ392222-222-222-2-2-2-2222222-222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222000000002222-2-20000000000-222-2-200000000000000
χ402222-222-222-2-2-2-2222222-222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000-2-2-2-22200000000002-2-22200000000000000
χ412222-2-2-2-2220000222222200-2-2-2-2-2-2-2-2000000000000002i−2i000000002200002i2i−2i−2i2i2i−2i−2i22-2-2220000000000-200000000002i−2i000000
χ422222-2-2-2-2220000222222200-2-2-2-2-2-2-2-2000000000000002i−2i000000002200002i2i−2i−2i2i2i−2i−2i-2-222-2-2000000000020000000000−2i2i000000
χ432222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000000000−2i2i00000000220000−2i−2i2i2i−2i−2i2i2i22-2-2220000000000-20000000000−2i2i000000
χ442222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000000000−2i2i00000000220000−2i−2i2i2i−2i−2i2i2i-2-222-2-20000000000200000000002i−2i000000
χ452-22-20-2202222-2-2-2-222-2-200000-2-2220022-2-222-2-200i2−i2i2−i20000000000000000000000002-22-20000i2−i2i2−i2i2−i2i2−i20002-200000000i2−i2i2−i200
χ462-22-20-2202222-2-2-2-222-2-200000-2-2220022-2-222-2-200i2−i2i2−i2000000000000000000000000-22-220000i2−i2i2−i2i2−i2i2−i2000-2200000000−i2i2−i2i200
χ472-22-20-2202222-2-2-2-222-2-200000-2-2220022-2-222-2-200−i2i2−i2i20000000000000000000000002-22-20000−i2i2−i2i2−i2i2−i2i20002-200000000−i2i2−i2i200
χ482-22-20-2202222-2-2-2-222-2-200000-2-2220022-2-222-2-200−i2i2−i2i2000000000000000000000000-22-220000−i2i2−i2i2−i2i2−i2i2000-2200000000i2−i2i2−i200
χ492-22-20-22022-2-222-2-222-2-200000-2-22200-2-222-2-22200i2−i2−i2i20000000000000000000000002-22-20000i2−i2i2−i2−i2i2−i2i2000-2200000000i2−i2−i2i200
χ502-22-20-22022-2-222-2-222-2-200000-2-22200-2-222-2-22200i2−i2−i2i2000000000000000000000000-22-220000i2−i2i2−i2−i2i2−i2i20002-200000000−i2i2i2−i200
χ512-22-20-22022-2-222-2-222-2-200000-2-22200-2-222-2-22200−i2i2i2−i20000000000000000000000002-22-20000−i2i2−i2i2i2−i2i2−i2000-2200000000−i2i2i2−i200
χ522-22-20-22022-2-222-2-222-2-200000-2-22200-2-222-2-22200−i2i2i2−i2000000000000000000000000-22-220000−i2i2−i2i2i2−i2i2−i20002-200000000i2−i2−i2i200
χ5344444-4-44−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-400−1+5−1−51−51+51−51+5−1+5−1−5000000004-4000000−1+5−1+5−1−5−1−51−51−51+51+51−51+500000000000000000000000000000000000000000000000
χ5444444-4-44−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-400−1+5−1−51−51+51−51+5−1+5−1−500000000-440000001−51−51+51+5−1+5−1+5−1−5−1−51−51+500000000000000000000000000000000000000000000000
χ5544444-4-44−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+5-400−1−5−1+51+51−51+51−5−1−5−1+5000000004-4000000−1−5−1−5−1+5−1+51+51+51−51−51+51−500000000000000000000000000000000000000000000000
χ5644444-4-44−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+5-400−1−5−1+51+51−51+51−5−1−5−1+500000000-440000001+51+51−51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000000000000000000
χ574444-444-4−1+5−1−54444−1+5−1−5−1+5−1−5−1+5−1−5-4-4-41−51+5−1+5−1−5−1+5−1−51−51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000000000001−51+51−51−51+51+50000000000000000000000000000000000000000000
χ584444-444-4−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5-4441−51+5−1+5−1−5−1+5−1−51−51+51−51−51−51−51+51+51+51+500000000000000001−51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000
χ594444-444-4−1−5−1+54444−1−5−1+5−1−5−1+5−1−5−1+5-4-4-41+51−5−1−5−1+5−1−5−1+51+51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000000000001+51−51+51+51−51−50000000000000000000000000000000000000000000
χ604444-444-4−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5-4441+51−5−1−5−1+5−1−5−1+51+51−51+51+51+51+51−51−51−51−500000000000000001+51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000
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χ1038-8-880000−2−25−2+2542−42−42422+252−252+252−25−2−25−2+25000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000
χ1048-8-880000−2−25−2+25−424242−422+252−252+252−25−2−25−2+2500000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.