Finite Group Databasebeta

← Group #14330205

Character table — Group #14330205

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222224444444444445555668888881010101010101010101010101010101010101010101010101010121212161616161616161620202020202020202020202020202020202020202020242424243030303030304848606060606060606060
order122234466624566101010121212122222441520203030304444444444444466661212121212121212244102030306060606024446612121212121212121212121212121212202020204444441020244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111-1-1iiii−i−i−i−iii−i−i-1-1-1-1iiii−i−i−i−i11111111111-1-1i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1ii−i−i11-1-1-1i−iii−i−i
χ61111111111111111111111-1-1-1-111111111-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−i−i−iiiii11111111111-1-1−ii-1-1-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1−i−iii11-1-1-1−ii−i−iii
χ71111111111111111111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−iii−i−i-1-1-1-1iiii−i−i−i−i-1-1-111111111-1-1i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-111−i−iii-1-1111−ii−i−iii
χ81111111111111111111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−i−i−iiiii-1-1-111111111-1-1−ii-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-111ii−i−i-1-1111i−iii−i−i
χ91111111111-1-11-1-111111-1-11111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-11-1111-11-1
χ101111111111-1-11-1-111111-1-111111111111111-1-111-1-111-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-11-1-1-1-11-11
χ111111111111-1-11-1-111111-1-11111-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111111-11-1-1-11-11
χ121111111111-1-11-1-111111-1-11111-1-111111111-1-111-1-111-1-1-1-11111111111111-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-11-1
χ131111111111-1-11-1-111111-1-1-1-1-1-111111111-1-1ii−i−i−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii-11-1-1-1-1-111-1-111−ii11-1-111ii−i−i−i−iiiii−i−i1111-1-1−i−iii-1-11-11i−ii−i−ii
χ141111111111-1-11-1-111111-1-1-1-1-1-111111111-1-1−i−iiiii−i−i−i−iii-1-1-1-1iiii−i−i−i−i-11-1-1-1-1-111-1-111i−i11-1-111−i−iiiii−i−i−i−iii1111-1-1ii−i−i-1-11-11−ii−iii−i
χ151111111111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii1-11-1-1-1-111-1-111−ii11-1-111ii−i−i−i−iiiii−i−i-1-1-1-111ii−i−i11-11-1−ii−iii−i
χ161111111111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iii-1-1-1-1iiii−i−i−i−i1-11-1-1-1-111-1-111i−i11-1-111−i−iiiii−i−i−i−iii-1-1-1-111−i−iii11-11-1i−ii−i−ii
χ1711111-1-11111-1111111-1-1-1-11111111-1-1111-1-111111111-1-1-1-1111111111111-1-111-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-11-1-11-1-11-11-1
χ1811111-1-11111-1111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-11-1-1111-11-11
χ1911111-1-11111-1111111-1-1-1-11111-1-11-1-1111-1-111111111-1-1-1-111111111111111-11-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-111-111-11-11
χ2011111-1-11111-1111111-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-111-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-111-1-111111-111-1-1-11-11-1
χ2111111-1-11111-1111111-1-1-1-1-1-1-1-1111-1-111111iiii−i−i−i−i−i−iii-1-1-1-1iiii−i−i−i−i-1-111-111-1-1-1-1-11−ii-1-11111−i−i−i−iiiiiii−i−i11-1-1-1-1ii−i−i-1111-1−iii−i−ii
χ2211111-1-11111-1111111-1-1-1-1-1-1-1-1111-1-111111−i−i−i−iiiiiii−i−i-1-1-1-1−i−i−i−iiiii-1-111-111-1-1-1-1-11i−i-1-11111iiii−i−i−i−i−i−iii11-1-1-1-1−i−iii-1111-1i−i−iii−i
χ2311111-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−iii-1-1-1-1iiii−i−i−i−i11-11-111-1-1-1-1-11−ii-1-11111−i−i−i−iiiiiii−i−i-1-11111−i−iii1-1-1-11i−i−iii−i
χ2411111-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiii−i−i-1-1-1-1−i−i−i−iiiii11-11-111-1-1-1-1-11i−i-1-11111iiii−i−i−i−i−i−iii-1-11111ii−i−i1-1-1-11−iii−i−ii
χ2511111-1-1111-111-1-1111-1-1111111111-1-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111-1111-1-1-1-111-1-111-1-111111111-1-111-1-1-1-11-11-1-1-1-11111
χ2611111-1-1111-111-1-1111-1-1111111111-1-1111-1-1-1-111-1-11111111111111111111-1-1-11-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111111-11-1-111-1-1-1-1
χ2711111-1-1111-111-1-1111-1-1111111-1-11-1-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1111-1-1-1-111-1-111-1-1111111-1-111-1-11111-11-11111-1-1-1-1
χ2811111-1-1111-111-1-1111-1-1111111-1-11-1-1111-1-1-1-111-1-1111111111111111111-111-11-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-11111
χ2911111-1-1111-111-1-1111-1-111-1-1-1-1111-1-111111ii−i−i−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-1-1-11-1-1-1-1111-1i−i1111-1-1−i−iiiii−i−iii−i−i11-1-1-1-1−i−iii1-1-111−iiii−i−i
χ3011111-1-1111-111-1-1111-1-111-1-1-1-1111-1-111111−i−iiiii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-1-1-11-1-1-1-1111-1−ii1111-1-1ii−i−i−i−iii−i−iii11-1-1-1-1ii−i−i1-1-111i−i−i−iii
χ3111111-1-1111-111-1-1111-1-111-1-1-1-1-1-11-1-111111ii−i−i−i−iii−i−iii-1-1-1-1−i−i−i−iiiii-111-11-1-1-1-1111-1i−i1111-1-1−i−iiiii−i−iii−i−i-1-11111ii−i−i-111-1-1i−i−i−iii
χ3211111-1-1111-111-1-1111-1-111-1-1-1-1-1-11-1-111111−i−iiiii−i−iii−i−i-1-1-1-1iiii−i−i−i−i-111-11-1-1-1-1111-1−ii1111-1-1ii−i−i−i−iii−i−iii-1-11111−i−iii-111-1-1−iiii−i−i
χ332222-122-1-1-1222-1-1222-1-1-1-1222200-122-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ342222-122-1-1-1222-1-1222-1-1-1-1222200-122-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111111100022-1-1-1-1-1-122-2-2-1-1-1-1-1-1111111111111000000000000000000000
χ352222-122-1-1-1222-1-1222-1-1-1-1-2-2-2-200-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii00022-1-1-1-1-1-1-2-22i−2i111111−i−i−i−iiiii−i−iii000000000000000000000
χ362222-122-1-1-1222-1-1222-1-1-1-1-2-2-2-200-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i1111iiii−i−i−i−i00022-1-1-1-1-1-1-2-2−2i2i111111iiii−i−i−i−iii−i−i000000000000000000000
χ372222-122-1-1-1-2-2211222-1-111222200-122-1-1-12222-2-222-2-22222-1-1-1-111111111000-2-211-1-111-2-2-2-211-1-111-1-111-1-111-1-1-1-1000000000000000000000
χ382222-122-1-1-1-2-2211222-1-111222200-122-1-1-122-2-222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000-2-211-1-111-2-22211-1-11111-1-111-1-11111000000000000000000000
χ392222-122-1-1-1-2-2211222-1-111-2-2-2-200-122-1-1-1-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111iiii−i−i−i−i000-2-211-1-11122−2i2i-1-111-1-1−i−iiiii−i−i−i−iii000000000000000000000
χ402222-122-1-1-1-2-2211222-1-111-2-2-2-200-122-1-1-1-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiii000-2-211-1-111222i−2i-1-111-1-1ii−i−i−i−iiiii−i−i000000000000000000000
χ412222-1-2-2-1-1-12-22-1-12221111222200-1-2-2-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10002-2-1-111112-2-2-2-1-1111111111111-1-1-1-1000000000000000000000
χ422222-1-2-2-1-1-12-22-1-12221111222200-1-2-2-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-1-1-1111111110002-2-1-111112-222-1-11111-1-1-1-1-1-1-1-11111000000000000000000000
χ432222-1-2-2-1-1-12-22-1-12221111-2-2-2-200-1-2-2-1-1-1222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiii0002-2-1-11111-22−2i2i11-1-1-1-1iiii−i−i−i−i−i−iii000000000000000000000
χ442222-1-2-2-1-1-12-22-1-12221111-2-2-2-200-1-2-2-1-1-122−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i1111iiii−i−i−i−i0002-2-1-11111-222i−2i11-1-1-1-1−i−i−i−iiiiiii−i−i000000000000000000000
χ452222-1-2-2-1-1-1-2221122211-1-1222200-1-2-2-1-1-1-2-222-2-222-2-2-2-2-2-2-1-1-1-111111111000-221111-1-1-22221111-1-111-1-111-1-1-1-1-1-1000000000000000000000
χ462222-1-2-2-1-1-1-2221122211-1-1222200-1-2-2-1-1-1-2-2-2-222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000-221111-1-1-22-2-21111-1-1-1-111-1-1111111000000000000000000000
χ472222-1-2-2-1-1-1-2221122211-1-1-2-2-2-200-1-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−i000-221111-1-12-22i−2i-1-1-1-111ii−i−i−i−iii−i−iii000000000000000000000
χ482222-1-2-2-1-1-1-2221122211-1-1-2-2-2-200-1-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii000-221111-1-12-2−2i2i-1-1-1-111−i−iiiii−i−iii−i−i000000000000000000000
χ4922-2-2200-22-2002002-2-2000022-2-22i−2i200-22-200002-2002-20000-22-2222-2-222-2-20000000000000000000000000000000002i−2i002i−2i2i−2i2i−2i00000000000
χ5022-2-2200-22-2002002-2-2000022-2-22i−2i200-22-20000-2200-220000-22-22-2-222-2-2220000000000000000000000000000000002i−2i002i−2i−2i2i−2i2i00000000000
χ5122-2-2200-22-2002002-2-2000022-2-2−2i2i200-22-200002-2002-20000-22-2222-2-222-2-2000000000000000000000000000000000−2i2i00−2i2i−2i2i−2i2i00000000000
χ5222-2-2200-22-2002002-2-2000022-2-2−2i2i200-22-20000-2200-220000-22-22-2-222-2-222000000000000000000000000000000000−2i2i00−2i2i2i−2i2i−2i00000000000
χ5322-2-2200-22-2002002-2-20000-2-2222i−2i200-22-200002i−2i00−2i2i00002-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000002i−2i00−2i2i-222-200000000000
χ5422-2-2200-22-2002002-2-20000-2-2222i−2i200-22-20000−2i2i002i−2i00002-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000002i−2i00−2i2i2-2-2200000000000
χ5522-2-2200-22-2002002-2-20000-2-222−2i2i200-22-200002i−2i00−2i2i00002-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000−2i2i002i−2i2-2-2200000000000
χ5622-2-2200-22-2002002-2-20000-2-222−2i2i200-22-20000−2i2i002i−2i00002-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000−2i2i002i−2i-222-200000000000
χ572-22-222i−2i2-2-200200-22-22i−2i002-2-220022i−2i2-2-22i−2i2-2002-2002i−2i2i−2i2-2-220000000000000002i−2i000000002i−2i002i−2i002i−2i002-22-2000000000000000000000
χ582-22-222i−2i2-2-200200-22-22i−2i002-2-220022i−2i2-2-22i−2i-2200-2200−2i2i−2i2i2-2-220000000000000002i−2i000000002i−2i00−2i2i00−2i2i00-22-22000000000000000000000
χ592-22-222i−2i2-2-200200-22-22i−2i00-222-20022i−2i2-2-2−2i2i2i−2i00−2i2i00-222-2-222-20000000000000002i−2i00000000−2i2i00-22002-2002i−2i−2i2i000000000000000000000
χ602-22-222i−2i2-2-200200-22-22i−2i00-222-20022i−2i2-2-2−2i2i−2i2i002i−2i002-2-22-222-20000000000000002i−2i00000000−2i2i002-200-2200−2i2i2i−2i000000000000000000000
χ612-22-22−2i2i2-2-200200-22-2−2i2i002-2-22002−2i2i2-2-2−2i2i2-2002-200−2i2i−2i2i2-2-22000000000000000−2i2i00000000−2i2i00−2i2i00−2i2i002-22-2000000000000000000000
χ622-22-22−2i2i2-2-200200-22-2−2i2i002-2-22002−2i2i2-2-2−2i2i-2200-22002i−2i2i−2i2-2-22000000000000000−2i2i00000000−2i2i002i−2i002i−2i00-22-22000000000000000000000
χ632-22-22−2i2i2-2-200200-22-2−2i2i00-222-2002−2i2i2-2-22i−2i2i−2i00−2i2i002-2-22-222-2000000000000000−2i2i000000002i−2i002-200-22002i−2i−2i2i000000000000000000000
χ642-22-22−2i2i2-2-200200-22-2−2i2i00-222-2002−2i2i2-2-22i−2i−2i2i002i−2i00-222-2-222-2000000000000000−2i2i000000002i−2i00-22002-200−2i2i2i−2i000000000000000000000
χ652-22-2-12i−2i-111002−i3i3-22-2−ii3−32-2-2200-12i−2i-1112i−2i2-2002-2002i−2i2i−2i-111-1−i3i3−i3i3−i3i3−i3i300000−i3i3−ii3−30000−i3i3−ii3−3−ii3−3−ii3−3-11-11000000000000000000000
χ662-22-2-12i−2i-111002−i3i3-22-2−ii3−32-2-2200-12i−2i-1112i−2i-2200-2200−2i2i−2i2i-111-1i3−i3i3−i3i3−i3i3−i300000−i3i3−ii3−30000−i3i3−ii3−3i−i−33i−i−331-11-1000000000000000000000
χ672-22-2-12i−2i-111002−i3i3-22-2−ii3−3-222-200-12i−2i-111−2i2i2i−2i00−2i2i00-222-21-1-113−33−3−33−3300000−i3i3−ii3−30000i3−i3i−i−331-1i3−i3-11−i3i3−iii−i000000000000000000000
χ682-22-2-12i−2i-111002−i3i3-22-2−ii3−3-222-200-12i−2i-111−2i2i−2i2i002i−2i002-2-221-1-11−33−333−33−300000−i3i3−ii3−30000i3−i3i−i−33-11−i3i31-1i3−i3i−i−ii000000000000000000000
χ692-22-2-12i−2i-111002i3−i3-22-2−ii−332-2-2200-12i−2i-1112i−2i2-2002-2002i−2i2i−2i-111-1i3−i3i3−i3i3−i3i3−i300000i3−i3−ii−330000i3−i3−ii−33−ii−33−ii−33-11-11000000000000000000000
χ702-22-2-12i−2i-111002i3−i3-22-2−ii−332-2-2200-12i−2i-1112i−2i-2200-2200−2i2i−2i2i-111-1−i3i3−i3i3−i3i3−i3i300000i3−i3−ii−330000i3−i3−ii−33i−i3−3i−i3−31-11-1000000000000000000000
χ712-22-2-12i−2i-111002i3−i3-22-2−ii−33-222-200-12i−2i-111−2i2i2i−2i00−2i2i00-222-21-1-11−33−333−33−300000i3−i3−ii−330000−i3i3i−i3−31-1−i3i3-11i3−i3−iii−i000000000000000000000
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Here i is the imaginary unit (i² = −1).