Finite Group Databasebeta

← Group #14435900

Character table — Group #14435900

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444446666888888888888888888888888888888121212121212121212121616161616161616162020202020202020242424242424242424242424242440404040404060606060606080120
order12223445566610101010101022121215152020202030303030303044444668101010102020202024244040404060606060120120120120120120120120442020202020202020123030303060606060244488121228101010102020202040404040261212242444448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ71111111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1111-1-1-1-1-1-111-11
χ81111111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-1-1-1111111-1-11-1
χ9111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1111-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ11111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1
χ12111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111
χ13111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11-1-1-1-11111111111-1-1-1-1-1-111111-1
χ14111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-11-1-1-1-111111111-1-1111111-1-1-1-1-11
χ15111111111111111111-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111111111-1-1-1-1-11-1-111-1-111-1-1-11
χ16111111111111111111-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-11-111-1-111-1-1111-1
χ172222222−1−52−1+52222−1−52−1+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+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+5222−1−52−1−52−1+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+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ182222222−1−52−1+52222−1−52−1+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+522222-222-2−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ192222222−1−52−1+52222−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ202222222−1−52−1+52222−1−52−1+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+52-2-2-2-2-222-2−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−520000000022−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+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+5221+521+521−521−52−1−52−1−52−1+52−1+52000000002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-221+521+521−521−521+521+521−521−5222−1−52−1−52−1+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+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52221+521+521−521−521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-221+521+521−521−521+521+521−521−5222−1−52−1−52−1+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+52221+521+521−521−521+521+521−521−52-21+521+521−521−521+521+521−521−52000000002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ252222222−1+52−1−52222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ262222222−1+52−1−52222−1+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+52−1−522222-222-2−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ272222222−1+52−1−52222−1+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+52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ282222222−1+52−1−52222−1+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+52−1−52-2-2-2-2-222-2−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+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+52-2−1+52−1+52−1−52−1−521−521−521+521+520000000022−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+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+52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−52000000002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-221−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52221−521−521+521+521−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-221−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521−521+521+521−521−521+521+52-21−521−521+521+521−521−521+521+52000000002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ3322222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000002222-2-2-2-20000000002-20000-2-200000000000000020000-22000000
χ3422222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000002222-2-2-2-2000000000-22000022000000000000000-200002-2000000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-20000000000-2-2-2-222220000000002-20000-2-2000000000000000200002-2000000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-20000000000-2-2-2-22222000000000-22000022000000000000000-20000-22000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100002-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1222222-1-1000000000000002-1-1-1-1-1000000-10
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100002-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21100000000000000-21111100000010
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-1-1-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000001-1-1-1-111112222-2-2-1-100000000000000-2-1-1-11100000010
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-1-1-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000001-1-1-1-11111-2-2-2-22211000000000000002111-1-1000000-10
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000211-2-2-2-2-2222211-2-2-2-2-1-1-1-1111111110000000000-11111-1-1-1-122-2-2-2-2-1-1000000000000002-11111000000-10
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000211-2-2-2-2-2222211-2-2-2-2-1-1-1-1111111110000000000-11111-1-1-1-1-2-222221100000000000000-21-1-1-1-100000010
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-2112-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111122-2-222-1-100000000000000-2-111-1-100000010
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-2112-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000111111111-2-222-2-2110000000000000021-1-111000000-10
χ4522-2-222-222-2-2222-2-2-2-22-2-2222-2-222-2-222-2-22i−2i2i−2i02-202-22-2000000000022-2-2000000002i−2i2i−2i2i−2i2i−2i2i−2i02-22-20000000000000000002i−2i2i−2i000000000000000000
χ4622-2-222-222-2-2222-2-2-2-22-2-2222-2-222-2-222-2-2−2i2i−2i2i02-202-22-2000000000022-2-200000000−2i2i−2i2i−2i2i−2i2i−2i2i02-22-2000000000000000000−2i2i−2i2i000000000000000000
χ4722-2-222-222-2-2222-2-2-2-2-22-2222-2-222-2-222-2-22i−2i2i−2i0-220-22-22000000000022-2-200000000−2i2i2i−2i2i−2i2i−2i2i−2i0-22-22000000000000000000−2i2i−2i2i000000000000000000
χ4822-2-222-222-2-2222-2-2-2-2-22-2222-2-222-2-222-2-2−2i2i−2i2i0-220-22-22000000000022-2-2000000002i−2i−2i2i−2i2i−2i2i−2i2i0-22-220000000000000000002i−2i2i−2i000000000000000000
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χ5422-2-222-2−1−52−1+52-2-22−1−52−1+521+521−521+521−52-22-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−522i−2i2i−2i0-2201+52−1−521−52−1+52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−1−52−1+521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−2i2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9401+52−1−521−52−1+52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.