Finite Group Databasebeta

← Group #14453155

Character table — Group #14453155

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444888888888888888888888888888888888888888881212202024242424242424242424244040404040404048484848606060608080120120
order1222344556661010101010104412121212151520202020202020203030303030306060606060606060441212121212202020202020202020206060606060606060606060606060606060606060606060608888248404040404040404044824242424101020202444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1
χ9111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1-111-1-111-1-111-1-11-1-11
χ10111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-11111-1-1-1-111-111-1
χ11111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-111-1-1-1-111-1-1111-11-1
χ12111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-11111-1-1-11-11
χ13111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11111-1-1-1-1-11-111-1-1-1-11111-1-1-111-1
χ14111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-11111-1-1-1-11-11-1-111-1-111-1-1111-1-11
χ15111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-11111-11-111-1-111-1-1-1-111-11-11
χ16111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-111111-11-1-11111-1-111-1-11-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-2-2-2−1−52−1+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+521−521−521−521−522200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-2-2-2−1−52−1+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+521−521−521−521−52-2-20022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-222-2-21+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+521+521+521+521+521−521−521−521−5222002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−5200000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-222-2-21+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+521+521+521+521+521−521−521−521−52-2-200-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+5200000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+5200000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−5200000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2-2-2−1+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+522200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2-2-2−1+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+52-2-20022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-222-2-21−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+5200000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-222-2-21−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−5200000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−5200000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2002-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+5200000000
χ3322222-2-2222222222222-2-222-2222222-2-2-2-22222222222222200-20000-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-2-220000
χ3422222-2-2222222222222-2-222-2222222-2-2-2-22222222222222200-20000-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-222-20000
χ3522222-2-222222222222-22-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200200002200000000-2-2-2-222220000000000000000000000000000000000000000002-22-20000
χ3622222-2-222222222222-22-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200200002200000000-2-2-2-22222000000000000000000000000000000000000000000-22-220000
χ372222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000222-1-1-1-100000000-1-100
χ382222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-2-2-21111000000001100
χ392222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111002200000000000-2-22-1-1-1-1000000001100
χ402222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100-2-20000000000022-2111100000000-1-100
χ412222-12222-1-1-1222222-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-1111111112-21-1-111-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-1111111110022000000000002-2-2-1-11100000000-1100
χ422222-12222-1-1-1222222-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-1111111112-21-1-111-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-11111111100-2-200000000000-22211-1-1000000001-100
χ432222-12222-1-1-1222222-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-22111-1-1-2-22222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-1002200000000000-22-2-1-111000000001-100
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χ1178-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+25000−4i34i301−51+5000000001−51+5−1+5−1+5−1−5−1−52ζ4−2ζ44+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+2ζ92000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+250004i3−4i301−51+5000000001−51+5−1+5−1+5−1−5−1−5−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−250000001+51−5−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ940000−1−5−1+5−1−51+5−1+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−250000001+51−54ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ940000−1−5−1+5−1−51+5−1+51−5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+250000001−51+54ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ1180000−1+5−1−5−1+51−5−1−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+250000001−51+5−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1180000−1+5−1−5−1+51−5−1−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000

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