Finite Group Databasebeta

← Group #12075731

Character table — Group #12075731

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444444444444444448888888888888888888888161616161616161616161616161616161616161620202020404040404040404040408080
order1222444444551010101010102224444410101010202020202020202020202020202020202410101010101010102020202020202020202020204488202020202020202040404040404040404444244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ91111-1-1111111111111-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-111111-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1-111111111-1-1-1-111-1-11-111-1-111-1-11-1
χ101111-1-1111111111111-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-111111-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-1-111-11
χ111111-1-1111111111111-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-111111-1-1-1-111-1-11111-1-1-1-1-11-111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-111-11
χ121111-1-1111111111111-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-111111-1-1-1-111-1-11111-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-11-1
χ131111-1-1111111111111-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ141111-1-1111111111111-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-11111-1-111-1111-1-111-1-1-11
χ151111-1-1111111111111-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-11
χ161111-1-1111111111111-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ172222222222−1+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+52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2222−1+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+52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2222−1+52−1+52−1−52−1−52−1+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+52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+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+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+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+52−1−52−1−52−1+52−1+520000000000000000
χ222222222222−1−52−1+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+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+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ232222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2222−1−52−1−52−1+52−1+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+52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ242222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2222−1−52−1−52−1+52−1+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+52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2522222222-2-222222222-22222-22-2-2-2-2-222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000000000000
χ2622222222-2-222222222-2-2-2-2-2-22-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2222222-2-2-2-2000000000000000000000000000000000000
χ2722222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22222-22-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+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+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ2822222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22222-22-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+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+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ2922222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ3022222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ3122222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22222-22-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ3222222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22222-22-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ3322222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ3422222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ35222222-2-2222222222220000-2-2-22222-2-2-2-2-2-222222222-2-20000000000-2-2-2-200000000000000000000000000002222-2-20000000000
χ36222222-2-2222222222220000-2-2-22222-2-2-2-2-2-222222222-2-20000000000-2-2-2-20000000000000000000000000000-2-2-2-2220000000000
χ37222222-2-2-2-222222222-200002-22-2-2-2-2-2-22222-2-2-2-22222-2-2000000000022-2-200000000000000000000000000000000002-22-2000000
χ38222222-2-2-2-222222222-200002-22-2-2-2-2-2-22222-2-2-2-22222-2-2000000000022-2-20000000000000000000000000000000000-22-22000000
χ392222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ402222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ412222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-222-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ422222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-222-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ432222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ442222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ452222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-222-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ462222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-222-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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χ482222-2-222-2-2222222222-2-2222-2-22222222222-2-2-2-2-2-2-2-222-22-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.