Finite Group Databasebeta

← Group #14453140

Character table — Group #14453140

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444888888888888888888121212121212121212121212121212121212121216161616161616161616161616202020202424404040404040404048484848606080120120120
order122234455666101010101010881212151520202020303030303030404040404040404044121224246060606012012012012012012012012024881010101020202020404040404040404012202020206060606060606060441212244481212122424101020204412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ5111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-11
χ6111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1
χ7111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1
χ8111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-11
χ9111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-11-1-11-1-1-1-111-1-1111-11-1
χ10111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-111-1111111-1-1-1-1-11-11
χ11111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-11111-111-1-11-1-1-1-1-1-111-1-111-11
χ12111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-11-111-11111-1-11111-1-11-1
χ13111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1111-1-1-1-11111-11-1-1
χ14111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-11-1-1-111-1-111-1-11-111
χ15111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1111111111-1-11-1111-1-111-1-1-1-1-1-111
χ16111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-11-11-11-1-1-11111-1-11111-1-1
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+52−1−52−1−52−1−52−1−52−1+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+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+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002200000000−1−52−1+52−1−52−1+52000000
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+52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2000000001+521−521+521−52000000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−521+521+521−521−520000-2-2000000001+521−521+521−52000000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52-21+521−521+521−521+521+521−521−521+521+521−521−5200002200000000−1−52−1+52−1−52−1+52000000
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+521+521+521+521+521−521−521−521−522-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+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+521−521−521−521−522−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-200000000−1−52−1+521+521−52000000
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+521+521+521+521+521−521−521−521−522-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+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+522−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-22000000001+521−52−1−52−1+52000000
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+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1+52−1−52−1+521+521+521+521+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+521−521−521−521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-22000000001+521−52−1−52−1+52000000
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+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1+52−1−52−1+521+521+521+521+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+52-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-200000000−1−52−1+521+521−52000000
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+52−1−52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002200000000−1+52−1−52−1+52−1−52000000
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+52−1−52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2000000001−521+521−521+52000000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+521−521−521+521+520000-2-2000000001−521+521−521+52000000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52-21−521+521−521+521−521−521+521+521−521−521+521+5200002200000000−1+52−1−52−1+52−1−52000000
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+52−1−521−521−521−521−521+521+521+521+522-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+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+522−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-200000000−1+52−1−521−521+52000000
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+52−1−521−521−521−521−521+521+521+521+522-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-22000000001−521+52−1+52−1−52000000
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+52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+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+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-22000000001−521+52−1+52−1−52000000
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+52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-200000000−1+52−1−521−521+52000000
χ3322222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000002-2002222-2-2-2-20000000000000000000002-22200000-200000000-220000
χ3422222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000002-2002222-2-2-2-2000000000000000000000-22-2-2000002000000002-20000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000-2200-2-2-2-222220000000000000000000002-22200000-2000000002-20000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000-2200-2-2-2-22222000000000000000000000-22-2-200000200000000-220000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-12222-1-1-1-1-1-1-1-122-1-100222-1-1-1-1-1000000-1000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-12222-1-1-1-1-1-1-1-1-2-21100-2-2-2111110000001000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122222222-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000001-2-2-2-21111111122-1-100-2-22-111-1-10000001000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122222222-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000001-2-2-2-211111111-2-2110022-21-1-111000000-1000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-22-21111-1-1-1-11111111100000000000000000000-122-2-2-1-1-1-1111122-1-1002-2-2-11111000000-1000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-22-21111-1-1-1-11111111100000000000000000000-122-2-2-1-1-1-11111-2-21100-2221-1-1-1-10000001000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-22-1-111-1-1-1-111111111000000000000000000001-2-2221111-1-1-1-122-1-100-22-2-1-1-1110000001000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-22-1-111-1-1-1-111111111000000000000000000001-2-2221111-1-1-1-1-2-211002-22111-1-1000000-1000
χ4544444-4-4−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5000000000000001+51−51+51−5000000004-400−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000000
χ4644444-4-4−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5000000000000001+51−51+51−500000000-44001+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000
χ4744444-4-4−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−500-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5000000000000001−51+51−51+5000000004-400−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000000
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χ1148-88-8-400−2+25−2−254-442−252+25−2+252−25−2−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−52ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ103−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ103−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1030000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000000000000000000000000000000000000000000000000000
χ1158-88-8-400−2+25−2−254-442−252+25−2+252−25−2−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ103−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ1030000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-88−2−25−2+25-4442+252−252+25−2−252−25−2+25004-41+51−52+252−25−2−25−2+25−1−5−1+5−1−5−1+51+51−500000000000000−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-88−2+25−2−25-4442−252+252−25−2+252+25−2−25004-41−51+52−252+25−2+25−2−25−1+5−1−5−1+5−1−51−51+500000000000000−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000

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