Finite Group Databasebeta

← Group #14425219

Character table — Group #14425219

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222244444444444444444444488888888888888888888888881212121215151616161616161616161616202020202424242424242424242430303040404040404048484848606060608080120
order1223445561010244461010121215152020202030306060606068101012121220202020202030306060606060606060606024444424303040406060120120120120222448101020202020202022426668122020404024446248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1
χ51111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-11111-1-111111111111-1111-11-1-1-1-111-1-1-1-1-1
χ61111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-11-1-1-1-1-1-1-111111
χ71111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11-1111111-1-111-1
χ81111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-111-1-11
χ911111111111-1-11111111111111111111-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-111111-1-1-1-1111-11-1-111-1-111-1-111-11-1
χ1011111111111-1-11111111111111111111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-11-111-1-1-1-11111-1-11-11
χ1111111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-111111111-111-1-111-1-1-1-1111-1-1
χ1211111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-11-1-11111-1-111-1-1-111
χ1311111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-111-1-111111-1-111-11111-1-1-1-111111-1-1-1111-1-1-1-1-1-11-11
χ1411111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-11111-111-11-11111-1-1-1-1-1-1-1-1-1111-111-1-11111-11-1
χ1511111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-111-1-11-1-1-1-11111111-1-1111-1-1-111-1-1-1-1-111
χ1611111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111111-1-11-11-1-1-1-11111-1-1-111-1-1-11-1-11111111-1-1
χ17222222−1−52−1+522−1−52−1+5222222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222002−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000−1−52−1+52−1−52−1+520000000
χ18222222−1−52−1+522−1−52−1+5222222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2002−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-21+521−521+521−521+521+521−521−520000000001+521−521+521−520000000
χ19222222−1−52−1+522−1−52−1+5222-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222200-2−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000001+521−521+521−520000000
χ20222222−1−52−1+522−1−52−1+5222-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-200-2−1−52−1+521+521−52−1−52−1+521+521+521−521−520000221+521−521+521−521+521+521−521−52000000000−1−52−1+52−1−52−1+520000000
χ21222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−52-2221+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-200-21+521−521+521−521+521−521+521+521−521−520000-22−1−52−1+52−1−52−1+521+521+521−521−520000000001+521−52−1−52−1+520000000
χ22222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−52-2221+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22200-21+521−521+521−521+521−521+521+521−521−5200002-21+521−521+521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−520000000
χ23222222−1−52−1+522−1−52−1+52-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-20021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200002-2−1−52−1+52−1−52−1+521+521+521−521−52000000000−1−52−1+521+521−520000000
χ24222222−1−52−1+522−1−52−1+52-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2220021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520000-221+521−521+521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+520000000
χ25222222−1+52−1−522−1+52−1−5222222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−522222002−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−52−1+52−1−520000000
χ26222222−1+52−1−522−1+52−1−5222222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2002−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521−521+521+520000000001−521+521−521+520000000
χ27222222−1+52−1−522−1+52−1−5222-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222200-2−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000001−521+521−521+520000000
χ28222222−1+52−1−522−1+52−1−5222-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-200-2−1+52−1−521−521+52−1+52−1−521−521−521+521+520000221−521+521−521+521−521−521+521+52000000000−1+52−1−52−1+52−1−520000000
χ29222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-200-21−521+521−521+521−521+521−521−521+521+520000-22−1+52−1−52−1+52−1−521−521−521+521+520000000001−521+52−1+52−1−520000000
χ30222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22200-21−521+521−521+521−521+521−521−521+521+5200002-21−521+521−521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+520000000
χ31222222−1+52−1−522−1+52−1−52-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+52-2-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-20021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200002-2−1+52−1−52−1+52−1−521−521−521+521+52000000000−1+52−1−521−521+520000000
χ32222222−1+52−1−522−1+52−1−52-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+52-2-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2220021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520000-221−521+521−521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−520000000
χ332222-2-2222220000222-2-222-2-2-2-222-2-2-2-2000000000000022-2-200000000002-2220000000000002-200000002-22-2-2-22002-20000000000000
χ342222-2-2222220000222-2-222-2-2-2-222-2-2-2-2000000000000022-2-200000000002-2-2-2000000000000-2200000002-22-222-200-220000000000000
χ352222-2-2222220000222-2-222-2-2-2-222-2-2-2-2000000000000022-2-20000000000-2222000000000000-220000000-22-22-2-2200-220000000000000
χ362222-2-2222220000222-2-222-2-2-2-222-2-2-2-2000000000000022-2-20000000000-22-2-20000000000002-20000000-22-2222-2002-20000000000000
χ37222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-122-1-1-1-1-1-1222200000000000002-1-1-12-100000000-1-10
χ38222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-122-1-1-1-1-1-1-2-2-2-20000000000000-2111-2100000000110
χ39222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-1-222-11122-2-2-2-2-1-1-1-1111111110000001-1-1-2-2-1-1111122220000000000000-2-1-1-1-2-100000000110
χ40222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-1-222-11122-2-2-2-2-1-1-1-1111111110000001-1-1-2-2-1-11111-2-2-2-2000000000000021112100000000-1-10
χ41222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-11-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000111-2-21111112-2-220000000000000-2-1112-1000000001-10
χ42222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-11-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000111-2-2111111-222-2000000000000021-1-1-2100000000-110
χ43222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-112-2-2111-2-2-2-2-2-2-1-1-1-111111111000000-1112211-1-1-1-12-2-2200000000000002-111-2-100000000-110
χ44222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-112-2-2111-2-2-2-2-2-2-1-1-1-111111111000000-1112211-1-1-1-1-222-20000000000000-21-1-121000000001-10
χ4522-222-2222222-200-2-2-2-2222-2-22222-2-2-2-22022-200-2-20000-2-2220000000000002202200-2-20000000000000000002-2-20000000000-2200000
χ4622-222-2222222-200-2-2-2-2222-2-22222-2-2-2-22022-200-2-20000-2-222000000000000-2-202200-2-2000000000000000000-22200000000002-200000
χ4722-222-222222-2200-2-2-2-2222-2-22222-2-2-2-2-20-2-2200220000-2-222000000000000220-2-200220000000000000000002-2-200000000002-200000
χ4822-222-222222-2200-2-2-2-2222-2-22222-2-2-2-2-20-2-2200220000-2-222000000000000-2-20-2-20022000000000000000000-2220000000000-2200000
χ4922-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-2000000002-2002200000000000-20020022-2-20000-22-20-2000200000000000
χ5022-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-2000000002-200-2-200000000000200-20022-2-200002-2202000-200000000000
χ5122-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-200000000-22002200000000000200-200-2-2220000-22-202000-200000000000
χ5222-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-200000000-2200-2-200000000000-200200-2-22200002-220-2000200000000000
χ534444-4-4−1−5−1+54−1−5−1+500004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000000000000−1−5−1+51+51−500000000004-400000000000000000000000−1−51+5−1+51−500000000000000000000
χ544444-4-4−1−5−1+54−1−5−1+500004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000000000000−1−5−1+51+51−50000000000-44000000000000000000000001+5−1−51−5−1+500000000000000000000
χ554444-4-4−1+5−1−54−1+5−1−500004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+50000000000000−1+5−1−51−51+500000000004-400000000000000000000000−1+51−5−1−51+500000000000000000000
χ564444-4-4−1+5−1−54−1+5−1−500004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+50000000000000−1+5−1−51−51+50000000000-44000000000000000000000001−5−1+51+5−1−500000000000000000000
χ57444-244−1−5−1+5-2−1−5−1+54444-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52-24−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−52000000-21+521−52−1−5−1+51+521−521+521+521−521−520000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.