Finite Group Databasebeta

← Group #14294551

Character table — Group #14294551

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order12223446665101010121220202020222288881530303060606060446666404040404040404044441212121212121212121288884444222264466610101010121220202020222288883030303060606060446666404040404040404044441212121212121212121288884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91-1-1111-1-1-111-1-111-111-1-11-11-1ii−i−i1-1-1111-1-11-11-1-11iiii−i−i−i−i1-11-11-111-1-111-1-1ii−i−ii−ii−i1-1-1111-1-1-111-1-111-111-1-11-11-1ii−i−i1-1-1111-1-11-11-1-11iiii−i−i−i−i1-11-11-111-1-111-1-1ii−i−ii−ii−i
χ101-1-1111-1-1-111-1-111-111-1-11-11-1ii−i−i1-1-1111-1-11-11-1-11iiii−i−i−i−i-11-111-1-1-111-1-111ii−i−i−ii−ii1-1-1111-1-1-111-1-111-111-1-11-11-1ii−i−i1-1-1111-1-11-11-1-11iiii−i−i−i−i-11-111-1-1-111-1-111ii−i−i−ii−ii
χ111-1-1111-1-1-111-1-111-111-1-11-11-1−i−iii1-1-1111-1-11-11-1-11−i−i−i−iiiii1-11-11-111-1-111-1-1−i−iii−ii−ii1-1-1111-1-1-111-1-111-111-1-11-11-1−i−iii1-1-1111-1-11-11-1-11−i−i−i−iiiii1-11-11-111-1-111-1-1−i−iii−ii−ii
χ121-1-1111-1-1-111-1-111-111-1-11-11-1−i−iii1-1-1111-1-11-11-1-11−i−i−i−iiiii-11-111-1-1-111-1-111−i−iiii−ii−i1-1-1111-1-1-111-1-111-111-1-11-11-1−i−iii1-1-1111-1-11-11-1-11−i−i−i−iiiii-11-111-1-1-111-1-111−i−iiii−ii−i
χ131-1-1111-1-1-111-1-111-111-1-1-11-11ii−i−i1-1-1111-1-1-11-111-1iiii−i−i−i−ii−i−ii-11ii−i−i−i−iii−i−iii-111-11-1-1111-1-1-111-1-111-111-1-1-11-11ii−i−i1-1-1111-1-1-11-111-1iiii−i−i−i−ii−i−ii-11ii−i−i−i−iii−i−iii-111-1
χ141-1-1111-1-1-111-1-111-111-1-1-11-11ii−i−i1-1-1111-1-1-11-111-1iiii−i−i−i−i−iii−i-11−i−iiiii−i−i−i−iii1-1-111-1-1111-1-1-111-1-111-111-1-1-11-11ii−i−i1-1-1111-1-1-11-111-1iiii−i−i−i−i−iii−i-11−i−iiiii−i−i−i−iii1-1-11
χ151-1-1111-1-1-111-1-111-111-1-1-11-11−i−iii1-1-1111-1-1-11-111-1−i−i−i−iiiiii−i−ii-11ii−i−i−i−iiiii−i−i1-1-111-1-1111-1-1-111-1-111-111-1-1-11-11−i−iii1-1-1111-1-1-11-111-1−i−i−i−iiiiii−i−ii-11ii−i−i−i−iiiii−i−i1-1-11
χ161-1-1111-1-1-111-1-111-111-1-1-11-11−i−iii1-1-1111-1-1-11-111-1−i−i−i−iiiii−iii−i-11−i−iiiii−i−iii−i−i-111-11-1-1111-1-1-111-1-111-111-1-1-11-11−i−iii1-1-1111-1-1-11-111-1−i−i−i−iiiii−iii−i-11−i−iiiii−i−iii−i−i-111-1
χ1722222-2-22222222-2-2-2-2-2-2222200002222-2-2-2-2-2-22222000000000000-2-2000000000000000022222-2-22222222-2-2-2-2-2-2222200002222-2-2-2-2-2-22222000000000000-2-20000000000000000
χ1822222-2-22222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-222-2-2-2-200000000000022000000000000000022222-2-22222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-222-2-2-2-2000000000000220000000000000000
χ192222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ202222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-111111111000000002222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ212222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ222222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i000000002222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ232222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000000011−i3i3−i3i3−i3i3−i3i3000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000000011−i3i3−i3i3−i3i3−i3i300000000
χ242222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000000011i3−i3i3−i3i3−i3i3−i3000000002222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000000011i3−i3i3−i3i3−i3i3−i300000000
χ252222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-11111221111000000000000-1-13−33−3−33−33000000002222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-11111221111000000000000-1-13−33−3−33−3300000000
χ262222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-11111221111000000000000-1-1−33−333−33−3000000002222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-11111221111000000000000-1-1−33−333−33−300000000
χ2722-2-22002-2-222-2-200000022-2-22−22−222-2-200000022-2-222−2−222−2−2000000000000002−22−2000022-2-22002-2-222-2-200000022-2-22−22−222-2-200000022-2-222−2−222−2−2000000000000002−22−20000
χ2822-2-22002-2-222-2-200000022-2-2−22−2222-2-200000022-2-2−2−222−2−22200000000000000−22−22000022-2-22002-2-222-2-200000022-2-2−22−2222-2-200000022-2-2−2−222−2−22200000000000000−22−220000
χ2922-2-22002-2-222-2-2000000-2-2222−22−222-2-2000000-2-22222−2−222−2−200000000000000−22−22000022-2-22002-2-222-2-2000000-2-2222−22−222-2-2000000-2-22222−2−222−2−200000000000000−22−220000
χ3022-2-22002-2-222-2-2000000-2-222−22−2222-2-2000000-2-222−2−222−2−222000000000000002−22−2000022-2-22002-2-222-2-2000000-2-222−22−2222-2-2000000-2-222−2−222−2−222000000000000002−22−20000
χ312-22-2200-22-22-22-20000002-2-22−i2i2i2−i22-22-20000002-22-2−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i200002-22-2200-22-22-22-20000002-2-22−i2i2i2−i22-22-20000002-22-2−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i20000
χ322-22-2200-22-22-22-20000002-2-22i2−i2−i2i22-22-20000002-22-2i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i200002-22-2200-22-22-22-20000002-2-22i2−i2−i2i22-22-20000002-22-2i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i20000
χ332-22-2200-22-22-22-2000000-222-2−i2i2i2−i22-22-2000000-22-22−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i200002-22-2200-22-22-22-2000000-222-2−i2i2i2−i22-22-2000000-22-22−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i20000
χ342-22-2200-22-22-22-2000000-222-2i2−i2−i2i22-22-2000000-22-22i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i200002-22-2200-22-22-22-2000000-222-2i2−i2−i2i22-22-2000000-22-22i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i20000
χ352-2-222-22-2-222-2-22-22-2-2222-22-200002-2-22-2-222-222-2-22000000000000-2200000000000000002-2-222-22-2-222-2-22-22-2-2222-22-200002-2-22-2-222-222-2-22000000000000-220000000000000000
χ362-2-222-22-2-222-2-22-22-2-222-22-2200002-2-22-2-2222-2-222-20000000000002-200000000000000002-2-222-22-2-222-2-22-22-2-222-22-2200002-2-22-2-2222-2-222-20000000000002-20000000000000000
χ372-2-22-12-211-12-2-22-1122-2-22-22-20000-111-1-1-1112-2-111-1000000002-22-2-11-1-111-1-111000000002-2-22-12-211-12-2-22-1122-2-22-22-20000-111-1-1-1112-2-111-1000000002-22-2-11-1-111-1-11100000000
χ382-2-22-12-211-12-2-22-1122-2-22-22-20000-111-1-1-1112-2-111-100000000-22-22-1111-1-111-1-1000000002-2-22-12-211-12-2-22-1122-2-22-22-20000-111-1-1-1112-2-111-100000000-22-22-1111-1-111-1-100000000
χ392-2-22-12-211-12-2-22-1122-2-2-22-220000-111-1-1-111-221-1-11000000002i−2i−2i2i1-1−i−iiiii−i−i000000002-2-22-12-211-12-2-22-1122-2-2-22-220000-111-1-1-111-221-1-11000000002i−2i−2i2i1-1−i−iiiii−i−i00000000
χ402-2-22-12-211-12-2-22-1122-2-2-22-220000-111-1-1-111-221-1-1100000000−2i2i2i−2i1-1ii−i−i−i−iii000000002-2-22-12-211-12-2-22-1122-2-2-22-220000-111-1-1-111-221-1-1100000000−2i2i2i−2i1-1ii−i−i−i−iii00000000
χ412-2-22-1-2211-12-2-221-1-2-2222-22-20000-111-111-1-1-22-111-10000000000001-1−i3i3i3−i3−i3i3i3−i3000000002-2-22-1-2211-12-2-221-1-2-2222-22-20000-111-111-1-1-22-111-10000000000001-1−i3i3i3−i3−i3i3i3−i300000000
χ422-2-22-1-2211-12-2-221-1-2-2222-22-20000-111-111-1-1-22-111-10000000000001-1i3−i3−i3i3i3−i3−i3i3000000002-2-22-1-2211-12-2-221-1-2-2222-22-20000-111-111-1-1-22-111-10000000000001-1i3−i3−i3i3i3−i3−i3i300000000
χ432-2-22-1-2211-12-2-221-1-2-222-22-220000-111-111-1-12-21-1-11000000000000-113−3−33−333−3000000002-2-22-1-2211-12-2-221-1-2-222-22-220000-111-111-1-12-21-1-11000000000000-113−3−33−333−300000000
χ442-2-22-1-2211-12-2-221-1-2-222-22-220000-111-111-1-12-21-1-11000000000000-11−333−33−3−33000000002-2-22-1-2211-12-2-221-1-2-222-22-220000-111-111-1-12-21-1-11000000000000-11−333−33−3−3300000000
χ454444444444-1-1-1-144-1-1-1-100004444-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000000000000000004444444444-1-1-1-144-1-1-1-100004444-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-1-1-1-144-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-10000001111111100000000000000000000004444444444-1-1-1-144-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1000000111111110000000000000000000000
χ4744444-4-4444-1-1-1-1-4-4111100000000-1-1-1-11111000000−i5i5−i5i5−i5i5−i5i5000000000000000000000044444-4-4444-1-1-1-1-4-4111100000000-1-1-1-11111000000−i5i5−i5i5−i5i5−i5i50000000000000000000000
χ4844444-4-4444-1-1-1-1-4-4111100000000-1-1-1-11111000000i5−i5i5−i5i5−i5i5−i5000000000000000000000044444-4-4444-1-1-1-1-4-4111100000000-1-1-1-11111000000i5−i5i5−i5i5−i5i5−i50000000000000000000000
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χ1418-88-8-4004-44-22-2200−2i52i52i5−2i5000000001-11-1i5−i5−i5i5000000000000000000000000000000000000-88-88400-44-42-22-2002i5−2i5−2i52i500000000-11-11−i5i5i5−i5000000000000000000000000000000000000
χ1428-88-8-4004-44-22-22002i5−2i5−2i52i5000000001-11-1−i5i5i5−i5000000000000000000000000000000000000-88-88400-44-42-22-200−2i52i52i5−2i500000000-11-11i5−i5−i5i5000000000000000000000000000000000000
χ1438-8-88-48-844-4-222-2-44-2-222000000001-1-1111-1-1000000000000000000000000000000000000-888-84-88-4-442-2-224-422-2-200000000-111-1-1-111000000000000000000000000000000000000
χ1448-8-88-4-8844-4-222-24-422-2-2000000001-1-11-1-111000000000000000000000000000000000000-888-848-8-4-442-2-22-44-2-22200000000-111-111-1-1000000000000000000000000000000000000

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