Finite Group Databasebeta

← Group #14453784

Character table — Group #14453784

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222444444444444444444444448888888888888888121216161616161616161616161616162020202020202020202020202424242424242424242424242424242424242440406060606060608080120
order12222234455666101010101010466101010101212121215152020202030303030303044202030303030606060606060606022121220202020606060606060606088882424242424242424288101010101010101040404040404040404424444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ61111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1
χ71111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-1-1
χ81111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1111
χ91111-1-111111111111111-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1-11111-11-1-1
χ101111-1-111111111111111-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1111-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11-111
χ111111-1-111111111111111-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-1-1-1-111-11
χ121111-1-111111111111111-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-11-11111-1-11-1
χ131111-1-111111111111111-1-1-1-1-1-1-11-1-11111111111111-11-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1-1111-11-1
χ141111-1-111111111111111-1-1-1-1-1-1-11-1-11111111111111-11-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111111-1-111-1-1-11-11
χ151111-1-111111111111111-1-1-1-1-1-1-11-1-11111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-111
χ161111-1-111111111111111-1-1-1-1-1-1-11-1-11111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-11-11-1-11111-1-1
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+522222−1−52−1+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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+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+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521−521+521−521+521+521−521−521+521+521−521−520000000000002-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1+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+521−521−52000000000000-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+520000000000002-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-2−1+52−1−52−1+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+52000000000000-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ252222222-2-222222222222-2222222-2-2-2-222-2-2-2-222222200-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000022-200-2000
χ262222222-2-222222222222-2222222-2-2-2-222-2-2-2-222222200-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000-2-22002000
χ27222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000022000000-1-10
χ28222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000-2-2000000110
χ29222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000000-2-2000000110
χ30222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-211111111-2-2-2-211111111000000000000000000022000000-1-10
χ312222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ322222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000002-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ332222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ342222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000022-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000
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+522-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000
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+522-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000002-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000
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+522-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000
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+522-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000022-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ392222-2-22-2-2222222222222-2-2-2-2-2-2-222-222-2-2-2-22222220022-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000002-2200-2000
χ402222-2-22-2-2222222222222-2-2-2-2-2-2-222-222-2-2-2-22222220022-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000-22-2002000
χ412222-2-2-12222-1-1-1222222-211-2-2-2-2-111-1-1-12222-1-1-1-1-1-12-2-2-21111-1-1-1-1111100-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100000000000000000002-2000000-110
χ422222-2-2-12222-1-1-1222222-211-2-2-2-2-111-1-1-12222-1-1-1-1-1-12-2-2-21111-1-1-1-1111100-1122-2-2-1-1-1-11111-2-2221111-1-1-1-10000000000000000000-220000001-10
χ432222-2-2-12222-1-1-1222222-211-2-2-2-2-111-1-1-12222-1-1-1-1-1-1-22-2-21111-1-1-1-11111001-1-2-2221111-1-1-1-122-2-2-1-1-1-111110000000000000000000-220000001-10
χ442222-2-2-12222-1-1-1222222-211-2-2-2-2-111-1-1-12222-1-1-1-1-1-1-22-2-21111-1-1-1-11111001-1-2-2221111-1-1-1-1-2-2221111-1-1-1-100000000000000000002-2000000-110
χ452-2-22002-2222-2-22-2-2-2-2220000000-2002222-22-2-2-2-2-222000000002-22-200002-2000000000000002-20022-2-200000002-22-2000000000000000002-20000
χ462-2-22002-2222-2-22-2-2-2-2220000000-2002222-22-2-2-2-2-222000000002-22-200002-200000000000000-2200-2-22200000002-22-200000000000000000-220000
χ472-2-22002-2222-2-22-2-2-2-2220000000-2002222-22-2-2-2-2-222000000002-22-20000-22000000000000002-20022-2-20000000-22-2200000000000000000-220000
χ482-2-22002-2222-2-22-2-2-2-2220000000-2002222-22-2-2-2-2-222000000002-22-20000-2200000000000000-2200-2-2220000000-22-22000000000000000002-20000
χ494444444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-444−1−5−1−5−1+5−1+5-4-4-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+5001+51−5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000000000000000000000000000000000000000000000000000000000
χ504444444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-444−1+5−1+5−1−5−1−5-4-4-4-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−5001−51+5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000000000000000000000000000000000000000000000000000000000
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χ1024-4-4400-2-444422-2-4-4-4-4440000000200-2-2-24-44-42222-2-200000000-22-22000000000000000000004-400-2-2220000000000000000000000000000000000
χ1034-4-4400-2-444422-2-4-4-4-4440000000200-2-2-24-44-42222-2-200000000-22-2200000000000000000000-440022-2-20000000000000000000000000000000000
χ10488-8-88-8-400−2−25−2+25-444−2−25−2+252+252−252+252−250-44−2−252+25−2+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+500001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-8-400−2+25−2−25-444−2+25−2−252−252+252−252+250-44−2+252−25−2−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−500001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-400−2−25−2+25-444−2−25−2+252+252−252+252−2504-42+25−2−252−25−2+2500001+51−500001+51−5−1−5−1+5−1−5−1+50000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+2504-42−25−2+252+25−2−2500001−51+500001−51+5−1+5−1−5−1+5−1−50000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800800−2−25−2+25-88-82+252−25−2−25−2+252+252−2500000000000−2−25−2+2500002+252−25−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800800−2+25−2−25-88-82−252+25−2+25−2−252−252+2500000000000−2+25−2−2500002−252+25−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-400−2−25−2+254-442+252−25−2−25−2+252+252−250000000043−4301+51−50000−1−5−1+51+51−5−1−5−1+5000000000000−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000
χ1118-88-800-400−2−25−2+254-442+252−25−2−25−2+252+252−2500000000−434301+51−50000−1−5−1+51+51−5−1−5−1+50000000000002ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000
χ1128-88-800-400−2+25−2−254-442−252+25−2+25−2−252−252+250000000043−4301−51+50000−1+5−1−51−51+5−1+5−1−50000000000002ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000
χ1138-88-800-400−2+25−2−254-442−252+25−2+25−2−252−252+2500000000−434301−51+50000−1+5−1−51−51+5−1+5−1−5000000000000−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-48-8−2−25−2+2544-42+252−252+252−25−2−25−2+250000000-40041+51−52+25−2−252−25−2+25−1−5−1+5−1−5−1+51+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-48-8−2+25−2−2544-42−252+252−252+25−2+25−2−250000000-40041−51+52−25−2+252+25−2−25−1+5−1−5−1+5−1−51−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-88−2−25−2+2544-42+252−252+252−25−2−25−2+250000000400-41+51−5−2−252+25−2+252−25−1−5−1+5−1−5−1+51+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-88−2+25−2−2544-42−252+252−252+25−2+25−2−250000000400-41−51+5−2+252−25−2−252+25−1+5−1−5−1+5−1−51−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000

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