Finite Group Databasebeta

← Group #14453786

Character table — Group #14453786

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222244444444444444444444444448888888888888881212121212121212121212121212121212121212161616161616161616161616161620202424404040404040404040404048484848606060606060120
order1222223445566610101010101046610101010121215152020202020202020303030303030441230303030606060606060606088884040404040404040404040404040404012122020202060606060606060602244266668824242424202020202444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ6111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1
χ7111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111-1-11-1
χ8111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-111-11
χ91111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1111-1-111-1-11-111-1-111-1-1-11111-1-1
χ101111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-11-11-1-111-11-1-11111-1-11-1-1-1-111
χ111111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-111-11-111-1-11-111-1-1-1-1111-1-1-1-111
χ121111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-1-1-1-111-1-111-11-1-111-1-111-11111-1-1
χ131111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-11-111-1-1-11-1-111-1-1111-1-1111-1
χ141111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-111-1-1111-111-1-1-1-111-111-1-1-11
χ151111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111111-1-111-1-1-11-1-11111-1-1-111-1-1-11
χ161111-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-11-11-1-1111-111-1-111-1-11-1-1111-1
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002200000000000−1−52−1+52−1−52−1+520000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+521−521−521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2000000000001+521−521+521−520000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-22−1−52−1−52−1+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+52-2-21+521−521+521−521+521+521−521−521+521+521−521−5200-2-2000000000001+521−521+521−520000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-22−1−52−1−52−1+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+521−521−521−521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−52002200000000000−1−52−1+52−1−52−1+520000000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002200000000000−1+52−1−52−1+52−1−520000000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52222−1+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+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2000000000001−521+521−521+520000000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-22−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+5200-2-2000000000001−521+521−521+520000000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-22−1+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+52-2-21−521+521−521+521−521−521+521+521−521−521+521+52002200000000000−1+52−1−52−1+52−1−520000000
χ252222222-2-222222222222-2222222-2-222-2-2-2-2-2-2-2-222222200-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000022-200-20
χ262222222-2-222222222222-2222222-2-222-2-2-2-2-2-2-2-222222200-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000-2-220020
χ27222222-12222-1-1-12222222-1-12222-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-12222-1-1-1-1-1-1-1-122002-1-1-1-122-1-1-1-100000000000
χ28222222-12222-1-1-12222222-1-12222-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-12222-1-1-1-1-1-1-1-1-2-200-21111-2-2111100000000000
χ29222222-12222-1-1-12222222-1-12222-1-1-1-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011-2-2-2-21111111122002-1-1-1-1-2-2111100000000000
χ30222222-12222-1-1-12222222-1-12222-1-1-1-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011-2-2-2-211111111-2-200-2111122-1-1-1-100000000000
χ312222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-200000000000−1−52−1+521+521−520000000
χ322222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+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+522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-22000000000001+521−52−1−52−1+520000000
χ332222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22000000000001+521−52−1−52−1+520000000
χ342222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+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+52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52002-200000000000−1−52−1+521+521−520000000
χ352222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-200000000000−1+52−1−521−521+520000000
χ362222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-22000000000001−521+52−1+52−1−520000000
χ372222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22000000000001−521+52−1+52−1−520000000
χ382222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52002-200000000000−1+52−1−521−521+520000000
χ392222-2-22-2-2222222222222-2-2-2-2-2-2-2-222-2-22222-2-2222222002-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000002-2200-20
χ402222-2-22-2-2222222222222-2-2-2-2-2-2-2-222-2-22222-2-2222222002-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000-22-20020
χ412222-2-2-12222-1-1-1222222-211-2-2-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-12-211111-1-1-1-1111100000000000000000000-1122-2-2-1-1-1-111112200-2-1-1112-2-1-11100000000000
χ422222-2-2-12222-1-1-1222222-211-2-2-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-12-211111-1-1-1-1111100000000000000000000-1122-2-2-1-1-1-11111-2-200211-1-1-2211-1-100000000000
χ432222-2-2-12222-1-1-1222222-211-2-2-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-1-2211111-1-1-1-11111000000000000000000001-1-2-2221111-1-1-1-12200-2-1-111-2211-1-100000000000
χ442222-2-2-12222-1-1-1222222-211-2-2-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-1-2211111-1-1-1-11111000000000000000000001-1-2-2221111-1-1-1-1-2-200211-1-12-2-1-11100000000000
χ452-2-22002-2222-2-22-2-2-2-22200000002-222-2-2000022-2-2-2-22200000002-22-200002-20022-2-222-2-200000000000000000000002-20002-20000000000000002-200
χ462-2-22002-2222-2-22-2-2-2-22200000002-222-2-2000022-2-2-2-22200000002-22-200002-20022-2-222-2-20000000000000000000000-22000-22000000000000000-2200
χ472-2-22002-2222-2-22-2-2-2-22200000002-222-2-2000022-2-2-2-22200000002-22-20000-2200-2-222-2-22200000000000000000000002-20002-2000000000000000-2200
χ482-2-22002-2222-2-22-2-2-2-22200000002-222-2-2000022-2-2-2-22200000002-22-20000-2200-2-222-2-2220000000000000000000000-22000-220000000000000002-200
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χ11088-8-8-88-400−2−25−2+25-444−2−25−2+252+252−252+252−2504-42+25−2−252−25−2+25001+51−5000000001+51−5−1−5−1+5−1−5−1+5000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+2504-42−25−2+252+25−2−25001−51+5000000001−51+5−1+5−1−5−1+5−1−5000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-400884-44-8-888-8-8000000000-4-40000000044-4-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-800-400−2−25−2+254-442+252−25−2−25−2+252+252−250000000001+51−500−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ9400−1−5−1+51+51−5−1−5−1+5000000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000
χ1148-88-800-400−2−25−2+254-442+252−25−2−25−2+252+252−250000000001+51−5004ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ9400−1−5−1+51+51−5−1−5−1+500000000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000
χ1158-88-800-400−2+25−2−254-442−252+25−2+25−2−252−252+250000000001−51+5004ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ11800−1+5−1−51−51+5−1+5−1−500000000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000
χ1168-88-800-400−2+25−2−254-442−252+25−2+25−2−252−252+250000000001−51+500−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ11800−1+5−1−51−51+5−1+5−1−5000000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-48-8−2−25−2+2544-42+252−252+252−25−2−25−2+2500000004-41+51−5−2−25−2+2500002+252−25−1−5−1+5−1−5−1+51+51−50000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800-48-8−2+25−2−2544-42−252+252−252+25−2+25−2−2500000004-41−51+5−2+25−2−2500002−252+25−1+5−1−5−1+5−1−51−51+50000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800-4-88−2−25−2+2544-42+252−252+252−25−2−25−2+250000000-441+51−52+252−250000−2−25−2+25−1−5−1+5−1−5−1+51+51−500000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-4-88−2+25−2−2544-42−252+252−252+25−2+25−2−250000000-441−51+52−252+250000−2+25−2−25−1+5−1−5−1+5−1−51−51+500000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000

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