Finite Group Databasebeta

← Group #12080404

Character table — Group #12080404

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11112222222222224444444448888888888888888888888888888161616161616161616161616161616161616202020203232404040404040404040408080
order1222444455101010101010420202020202020202244448888101010102020202020204040404040404040481010202020202020404040404040404024442020244444888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-11-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1111111-111-1-1-111-1-11-1
χ611111111111111111111111111-11-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-111-11
χ711111111111111111111111111-11-1-1-1-1-1111111-1-1-1-11111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111-11
χ811111111111111111111111111-11-1-1-1-1-1111111-1-1-1-11111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-1-11-1
χ91111111111111111111111111-11-11-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1-11111-1-1
χ101111111111111111111111111-11-11-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111
χ121111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1111111-1-1
χ131111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111-1
χ151111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ161111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000−1+52−1−52000000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222-2-2-2-2−1+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+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+522-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−52000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2-222221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52000000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+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+5222−1−52−1+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+520000−1−52−1+52000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−522-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+52000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-222221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−52000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52000000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52000000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52000000000000
χ3322222-22-222222222-222-2-222-2-2020-20000000000-2-2-2-2-2-20000000000220000000000000022-2-200-200200000000
χ3422222-22-222222222-222-2-222-2-2020-20000000000-2-2-2-2-2-200000000002200000000000000-2-22200200-200000000
χ3522222-22-222222222-222-2-222-2-20-20200000000002222-2-20000000000-2-20000000000000022-2-200200-200000000
χ3622222-22-222222222-222-2-222-2-20-20200000000002222-2-20000000000-2-200000000000000-2-22200-200200000000
χ372222-22-2222222222-2-2-222-2-22220-2000000022220000-2-2000000000000-2-20000000000002-22-20002-2000000000
χ382222-22-2222222222-2-2-222-2-22220-2000000022220000-2-2000000000000-2-2000000000000-22-22000-22000000000
χ392222-22-2222222222-2-2-222-2-222-2020000000-2-2-2-20000-2-2000000000000220000000000002-22-2000-22000000000
χ402222-22-2222222222-2-2-222-2-222-2020000000-2-2-2-20000-2-200000000000022000000000000-22-220002-2000000000
χ412222-2-2-2-2222222222-2-2-2-2-2-2-2-200002-200000000000022000000000000002-22-2000000002-2-220000002-2000000
χ422222-2-2-2-2222222222-2-2-2-2-2-2-2-200002-200000000000022000000000000002-22-200000000-222-2000000-22000000
χ432222-2-2-2-2222222222-2-2-2-2-2-2-2-20000-220000000000002200000000000000-22-22000000002-2-22000000-22000000
χ442222-2-2-2-2222222222-2-2-2-2-2-2-2-20000-220000000000002200000000000000-22-2200000000-222-20000002-2000000
χ4544444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1−51−51+5−1+5−1−51−51+5040-400000000001−51−51+51+51−51+50000000000−1+5−1−500000000000000000000000000000000
χ4644444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1−51−51+5−1+5−1−51−51+50-4040000000000−1+5−1+5−1−5−1−51−51+500000000001−51+500000000000000000000000000000000
χ4744444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1+51+51−5−1−5−1+51+51−5040-400000000001+51+51−51−51+51−50000000000−1−5−1+500000000000000000000000000000000
χ4844444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1+51+51−5−1−5−1+51+51−50-4040000000000−1−5−1−5−1+5−1+51+51−500000000001+51−500000000000000000000000000000000
χ494444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-41−51+5−1+5−1−51−51+5−1+5−1−540-40000000−1+5−1+5−1−5−1−500001−51+50000000000001−51+5000000000000000000000000000000
χ504444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-41−51+5−1+5−1−51−51+5−1+5−1−5-40400000001−51−51+51+500001−51+5000000000000−1+5−1−5000000000000000000000000000000
χ514444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-41+51−5−1−5−1+51+51−5−1−5−1+540-40000000−1−5−1−5−1+5−1+500001+51−50000000000001+51−5000000000000000000000000000000
χ524444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-41+51−5−1−5−1+51+51−5−1−5−1+5-40400000001+51+51−51−500001+51−5000000000000−1−5−1+5000000000000000000000000000000
χ534444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−541−51+51−51+51−51+51−51+500004-4000000000000−1+5−1−500000000000000−1+51−5−1−51+500000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−541−51+51−51+51−51+51−51+50000-44000000000000−1+5−1−5000000000000001−5−1+51+5−1−500000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+541+51−51+51−51+51−51+51−500004-4000000000000−1−5−1+500000000000000−1−51+5−1+51−500000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+541+51−51+51−51+51−51+51−50000-44000000000000−1−5−1+5000000000000001+5−1−51−5−1+500000000000000000000000000
χ5744-4-440-4044-4-444-4-404400-4-400000000000000000000000000000000000000000000000000000000000022−220000
χ5844-4-440-4044-4-444-4-404400-4-4000000000000000000000000000000000000000000000000000000000000−22220000
χ5944-4-4-404044-4-444-4-40-4-40044000000002i2−2i20000000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ6044-4-4-404044-4-444-4-40-4-4004400000000−2i22i2000000000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ6144-4-4-4040−1+5−1−51−51+5−1+5−1−51−51+501−51+500−1+5−1−5000000002i2−2i2000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ390000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000
χ6244-4-4-4040−1+5−1−51−51+5−1+5−1−51−51+501−51+500−1+5−1−5000000002i2−2i20000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ390000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000
χ6344-4-4-4040−1+5−1−51−51+5−1+5−1−51−51+501−51+500−1+5−1−500000000−2i22i2000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ390000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000
χ6444-4-4-4040−1+5−1−51−51+5−1+5−1−51−51+501−51+500−1+5−1−500000000−2i22i20000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ390000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000
χ6544-4-4-4040−1−5−1+51+51−5−1−5−1+51+51−501+51−500−1−5−1+5000000002i2−2i20000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ370000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.