Finite Group Databasebeta

← Group #12134014

Character table — Group #12134014

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444448888888888888888888888888888888888888888161616161616161616161616161620202020404040404040404040408080
order1222224444551010101010104444101010102020202020202020244444441010101020202020202020202020202020202020202020202020202020202020882020202040404040404040404444222444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-11111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111-1-11-1-1111-1-11-1
χ10111111111111111111-1-1-1-11111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-111-1-1-111-11
χ11111111111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-111111111-1-11-1-11-1-111-11
χ12111111111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-11-1
χ13111111111111111111-1-1-1-1111111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-111-111-1-1-11
χ14111111111111111111-1-1-1-1111111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-11-1-1111-1
χ15111111111111111111-1-1-1-1111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1111-1
χ16111111111111111111-1-1-1-1111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-11
χ172222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+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+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+521−521−521+521+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+52221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+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+520000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-2221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+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+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+52−1+52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ33222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-20000000000000000000022-2-222-2-20000000000000000000000000022-2-22-20000000000
χ34222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-20000000000000000000022-2-222-2-200000000000000000000000000-2-222-220000000000
χ35222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-200000000000000000000-2-222-2-2220000000000000000000000000022-2-2-220000000000
χ36222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-200000000000000000000-2-222-2-22200000000000000000000000000-2-2222-20000000000
χ372222-2-22-22-2222222220000-2-2-2-22-22-22-22-202-20000000002222000000000000-2-2-2-200000000000000000000002-22-20002-20000000
χ382222-2-22-22-2222222220000-2-2-2-22-22-22-22-202-20000000002222000000000000-2-2-2-20000000000000000000000-22-22000-220000000
χ392222-2-22-22-2222222220000-2-2-2-22-22-22-22-20-22000000000-2-2-2-2000000000000222200000000000000000000002-22-2000-220000000
χ402222-2-22-22-2222222220000-2-2-2-22-22-22-22-20-22000000000-2-2-2-200000000000022220000000000000000000000-22-220002-20000000
χ412222-2-2-22-22222222220000-2-2-2-2-22-22-22-2220000-20022220000-2-2-2-200000000000000000000000000000000002-2-2200-2002000000
χ422222-2-2-22-22222222220000-2-2-2-2-22-22-22-2220000-20022220000-2-2-2-20000000000000000000000000000000000-222-200200-2000000
χ432222-2-2-22-22222222220000-2-2-2-2-22-22-22-22-20000200-2-2-2-20000222200000000000000000000000000000000002-2-2200200-2000000
χ442222-2-2-22-22222222220000-2-2-2-2-22-22-22-22-20000200-2-2-2-2000022220000000000000000000000000000000000-222-200-2002000000
χ452-2-222-22-2-2222-2-222-2-22i−2i2i−2i-2-2222-22-2-22-22000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002-22i−2i00
χ462-2-222-22-2-2222-2-222-2-22i−2i2i−2i-2-2222-22-2-22-22000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000-22−2i2i00
χ472-2-222-22-2-2222-2-222-2-2−2i2i−2i2i-2-2222-22-2-22-2200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002-2−2i2i00
χ482-2-222-22-2-2222-2-222-2-2−2i2i−2i2i-2-2222-22-2-22-2200000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000-222i−2i00
χ492-2-222-2-222-222-2-222-2-22i−2i−2i2i-2-222-22-222-22-20002i−2i02-20000000000002i−2i−2i2i2i−2i−2i2i000022-2-222-2-2002i−2i2i−2i000000000000000000000000
χ502-2-222-2-222-222-2-222-2-22i−2i−2i2i-2-222-22-222-22-2000−2i2i0-220000000000002i−2i−2i2i2i−2i−2i2i0000-2-222-2-22200−2i2i−2i2i000000000000000000000000
χ512-2-222-2-222-222-2-222-2-2−2i2i2i−2i-2-222-22-222-22-20002i−2i0-22000000000000−2i2i2i−2i−2i2i2i−2i0000-2-222-2-222002i−2i2i−2i000000000000000000000000
χ522-2-222-2-222-222-2-222-2-2−2i2i2i−2i-2-222-22-222-22-2000−2i2i02-2000000000000−2i2i2i−2i−2i2i2i−2i000022-2-222-2-200−2i2i−2i2i000000000000000000000000
χ532-2-222-2-222-2−1+52−1−521−521+52−1+52−1−521−521+522i−2i−2i2i1−521+52−1+52−1−521−52−1+521+52−1−52−1+521−52−1−521+520002i−2i02-2ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1+521−521−52−1−52−1−521+521+5200−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ542-2-222-2-222-2−1+52−1−521−521+52−1+52−1−521−521+522i−2i−2i2i1−521+52−1+52−1−521−52−1+521+52−1−52−1+521−52−1−521+520002i−2i02-2−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+52−1+521−521−52−1−52−1−521+521+5200−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
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χ1038-88-8000000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000
χ1048-88-8000000−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.