Finite Group Databasebeta

← Group #14513382

Character table — Group #14513382

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222266666666888810101010121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616242424242424242430303030606060606060606080808080
order12442455101010101010202020202020202022444444361212888844888810101010202020202020202020202020202020202020202061215153030303030306060606060606060404040404040404088882244888824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-111-1-1-1-111-1-1-1-11111-11-111111111111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-1
χ61111-1-111-1-1-1-111-1-1-1-11111-11-1111111111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-1-111
χ71111-1-111-1-1-1-111-1-1-1-11111-11-1-1-1-1-11111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-11111-1-1
χ81111-1-111-1-1-1-111-1-1-1-11111-11-1-1-1-1-111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-1-1-111
χ911-1-11-111111111-1-1-1-1-1-1-1-1-1-11ii−i−i111-1-1i−ii−ii−ii−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i1-1-111-11-1i−ii−i
χ1011-1-11-111111111-1-1-1-1-1-1-1-1-1-11ii−i−i111-1-1−ii−iii−ii−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−ii−ii-111-1-11-11−ii−ii
χ1111-1-11-111111111-1-1-1-1-1-1-1-1-1-11−i−iii111-1-1i−ii−i−ii−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiii−ii−i-111-1-11-11i−ii−i
χ1211-1-11-111111111-1-1-1-1-1-1-1-1-1-11−i−iii111-1-1−ii−ii−ii−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii1-1-111-11-1−ii−ii
χ1311-1-1-1111-1-1-1-1111111-1-1-1-11-1-1ii−i−i111-1-1i−i−ii−iii−i−ii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-1-111-1-1-1-11111ii−i−i−i−iiii−i−ii11-1-11-1-11i−i−ii
χ1411-1-1-1111-1-1-1-1111111-1-1-1-11-1-1ii−i−i111-1-1−iii−i−iii−i−ii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-1-111-1-1-1-11111ii−i−i−i−iii−iii−i-1-111-111-1−iii−i
χ1511-1-1-1111-1-1-1-1111111-1-1-1-11-1-1−i−iii111-1-1i−i−iii−i−iii−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-1-111-1-1-1-11111−i−iiiii−i−ii−i−ii-1-111-111-1i−i−ii
χ1611-1-1-1111-1-1-1-1111111-1-1-1-11-1-1−i−iii111-1-1−iii−ii−i−iii−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-1-111-1-1-1-11111−i−iiiii−i−i−iii−i11-1-11-1-11−iii−i
χ17222222222222222222222222200002-1-1-1-12222000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ18222222222222222222222222200002-1-1-1-1-2-2-2-2000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ19222222−1+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+52−1−52−1−522222222222220000222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ20222222−1+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+52−1−52−1−52222-2-2-2-2222220000-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000
χ21222222−1−52−1+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+522222222222220000222222−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ22222222−1−52−1+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+52222-2-2-2-2222220000-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000000000
χ232222-2-222-2-2-2-222-2-2-2-22222-22-200002-1-1-1-122-2-2000000-2-22222-2-2000000000000000011-1-11111-1-1-1-1-1-111110000000022-2-200000000-1-111
χ242222-2-222-2-2-2-222-2-2-2-22222-22-200002-1-1-1-1-2-222000000-2-22222-2-2000000000000000011-1-11111-1-1-1-1-1-1111100000000-2-2220000000011-1-1
χ252222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22222222220000-2-222-2-21−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ262222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-2-2-2-2-222222000022-2-2221−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ272222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-22222222220000-2-222-2-21+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ282222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-2-2-2-2-222222000022-2-2221+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ2922-2-22-222222222-2-2-2-2-2-2-2-2-2-2200002-1-1112i−2i2i−2i000000-2-2-2-222220000000000000000-11-1-1-1-1-1-1-1-111111111000000002i−2i2i−2i00000000−ii−ii
χ3022-2-22-222222222-2-2-2-2-2-2-2-2-2-2200002-1-111−2i2i−2i2i000000-2-2-2-222220000000000000000-11-1-1-1-1-1-1-1-11111111100000000−2i2i−2i2i00000000i−ii−i
χ3122-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222i2i−2i−2i222-2-200002i−2i2i−2i2i−2i1−521+521−521+52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ72-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ3222-2-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-22−2i−2i2i2i222-2-20000−2i2i−2i2i−2i2i1−521+521−521+52−1+52−1−52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ72-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ3322-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-222i2i−2i−2i222-2-200002i−2i2i−2i2i−2i1+521−521+521−52−1−52−1+52−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ192-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000000000
χ3422-2-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-22−2i−2i2i2i222-2-20000−2i2i−2i2i−2i2i1+521−521+521−52−1−52−1+52−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ192-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
χ3522-2-2-2222-2-2-2-2222222-2-2-2-22-2-200002-1-1112i−2i−2i2i00000022-2-222-2-200000000000000001-1-1-11111-1-11111-1-1-1-1000000002i−2i−2i2i00000000−iii−i
χ3622-2-2-2222-2-2-2-2222222-2-2-2-22-2-200002-1-111−2i2i2i−2i00000022-2-222-2-200000000000000001-1-1-11111-1-11111-1-1-1-100000000−2i2i2i−2i00000000i−i−ii
χ3722-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-22i2i−2i−2i222-2-20000−2i2i2i−2i−2i2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ3822-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-2−2i−2i2i2i222-2-200002i−2i−2i2i2i−2i−1+52−1−521−521+52−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ3922-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-22i2i−2i−2i222-2-20000−2i2i2i−2i−2i2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
χ4022-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-2−2i−2i2i2i222-2-200002i−2i−2i2i2i−2i−1−52−1+521+521−52−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000000000000
χ413333333333333333333333-1-1-11111-10000333311-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000
χ423333333333333333333333-1-1-11111-10000-3-3-3-311-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-10000
χ433333333333333333333333-1-1-1-1-1-1-1-100003333-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-11111-1-1-1-10000
χ443333333333333333333333-1-1-1-1-1-1-1-10000-3-3-3-3-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111-1-1-1-111110000
χ453333-3-333-3-3-3-333-3-3-3-333331-111111-1000033-3-3-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111-11-1111-1-10000
χ463333-3-333-3-3-3-333-3-3-3-333331-111111-10000-3-333-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1111111-1-11-11-1-1-1110000
χ473333-3-333-3-3-3-333-3-3-3-333331-11-1-1-1-1-1000033-3-31111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111110000000000000000001111-1-1-1-1-1-1111-11-1-1-1110000
χ483333-3-333-3-3-3-333-3-3-3-333331-11-1-1-1-1-10000-3-3331111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111110000000000000000001111-1-1-1-111-1-1-11-1111-1-10000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.