Finite Group Databasebeta

← Group #14436273

Character table — Group #14436273

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444444444444444444444444444444444444448888888888888888888888888888888888101010101212202020202020202020202020202020202020202020202424242424242424242424484848486060120120120
order1222344556661010101010102444446610101010121212121212121212121212151520202020303030303030303030303030303020202020202020202020606060606060606060606060606060606060606060606060444488224444666612121212121212121212121244840404040404040402020202088448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111111-1-1-1-111-1-11
χ61111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1
χ71111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1
χ81111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11
χ9111111111111111111-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-1-1111-1-1
χ10111111111111111111-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-111-1-1-111
χ11111111111111111111-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-11-11111-1-1-1-111-1-1-1-1-111
χ12111111111111111111-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111-11-1-1-1-11111-1-111111-1-1
χ13111111111111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-11-1-11111-1-1-1-1-1-11111-11-1
χ14111111111111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-1-1-1111111-1-1-1-11-11
χ15111111111111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11-11
χ16111111111111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-111-1-1-1-1111111-1-111-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52222222222222−1−52−1+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+52−1−52−1−52−1+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+520000220000000000000000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52222222222222−1−52−1+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+52−1−52−1−52−1+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+520000-2-20000000000000000000000-2-2-21+521+521−521−521+521+521−521−521+521−521+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2222−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000220000000000000000000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2222−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2000000000000000000000022-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2-2-21+521+521−521−5222-2-22222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000220000000000000000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2-2-21+521+521−521−5222-2-22222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-200000000000000000000002-221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-222-2-2-21+521+521−521−5222-2-2-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002200000000000000000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-222-2-2-21+521+521−521−5222-2-2-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-20000000000000000000000-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52222222222222−1+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+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+52−1−52−1−52−1−52−1−520000220000000000000000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52222222222222−1+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+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+52−1−52−1−52−1−52−1−520000-2-20000000000000000000000-2-2-21−521−521+521+521−521−521+521+521−521+521−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2222−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000220000000000000000000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2222−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-2-2000000000000000000000022-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-2-21−521−521+521+5222-2-22222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000220000000000000000000000-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-2-21−521−521+521+5222-2-22222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-2-200000000000000000000002-221−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-222-2-2-21−521−521+521+5222-2-2-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002200000000000000000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-222-2-2-21−521−521+521+5222-2-2-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-20000000000000000000000-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+5200000
χ3322222-2-22222222222220000-2222222-2-2-2-20000000022-2-2-2-222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-20000-22000000-2-222000022-2-200000000000000000000
χ3422222-2-22222222222220000-2222222-2-2-2-20000000022-2-2-2-222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-22200002-200000022-2-20000-2-22200000000000000000000
χ3522222-2-222222222222-200002-2-2-2-2-2-2-2-2220000000022-2-2-2-222-2-2-2-2-2-2-2-222222200000000-2-2-2-22222000000000000000022-2-200002-2000000-2-2-2-20000222200000000000000000000
χ3622222-2-222222222222-200002-2-2-2-2-2-2-2-2220000000022-2-2-2-222-2-2-2-2-2-2-2-222222200000000-2-2-2-222220000000000000000-2-2220000-2200000022220000-2-2-2-200000000000000000000
χ372222-12222-1-1-1222222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
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χ13388-8-8800−2−25−2+25-8-882+252−252+252−25−2−25−2+25000000000000000000000000−2−25−2+2500002+252−25000000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1408-88-8-40088-44488-8-8-8-8000000000000000000000000-4-40000-4-40000000044440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-400−2−25−2+25-444−2−25−2+252+252−252+252−2500000000−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1160000000000001+51−500001+51−52ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000004ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ1160000000000001+51−500001+51−5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000004ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ920000000000001−51+500001−51+5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-400−2+25−2−25-444−2+25−2−252−252+252−252+2500000000−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ920000000000001−51+500001−51+52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.