Finite Group Databasebeta

← Group #14329502

Character table — Group #14329502

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222224444444444445555668888881010101010101010101010101010101010101010101010101010121212161616161616161620202020202020202020202020202020202020202020242424243030303030304848606060606060606060
order12223446662256666101010121222224415202030303044444444444444666612121212121212122241010303030306060224466661212121212121212121212121212202020204444441010224444444
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
χ51111111111111111111111-1-1-1-111111111-1-1iiiiii−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i11111111111-1-1i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1ii−i−i11-1-1-1i−iii−i−i
χ61111111111111111111111-1-1-1-111111111-1-1−i−i−i−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii11111111111-1-1−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1−i−iii11-1-1-1−ii−i−iii
χ71111111111111111111111-1-1-1-1-1-1111111-1-1iiiiii−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-111111111-1-1i−i-1-1-1-1-1-1ii−i−iiiii−i−i−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−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii-1-1-111111111-1-1−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-111ii−i−i-1-1111i−iii−i−i
χ91111111111-1-11-1-1-1-111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11111
χ101111111111-1-11-1-1-1-11111111111111111111-1-1-1-111-1-1-1-111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1
χ111111111111-1-11-1-1-1-1111111111-1-1111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-111-1-1-1-1
χ121111111111-1-11-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111
χ131111111111-1-11-1-1-1-111111-1-1-1-111111111-1-1iiii−i−i−i−i−i−iii-1-1-1-1−i−i−i−iiiii-1-11-1-1-1-1-1-11111−ii1111-1-1−i−iiiiiii−i−i−i−i1111-1-1−i−iii-1-111-1−iiii−i−i
χ141111111111-1-11-1-1-1-111111-1-1-1-111111111-1-1−i−i−i−iiiiiii−i−i-1-1-1-1iiii−i−i−i−i-1-11-1-1-1-1-1-11111i−i1111-1-1ii−i−i−i−i−i−iiiii1111-1-1ii−i−i-1-111-1i−i−i−iii
χ151111111111-1-11-1-1-1-111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1-11111−ii1111-1-1−i−iiiiiii−i−i−i−i-1-1-1-111ii−i−i11-1-11i−i−i−iii
χ161111111111-1-11-1-1-1-111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1-11111i−i1111-1-1ii−i−i−i−i−i−iiiii-1-1-1-111−i−iii11-1-11−iiii−i−i
χ1711111-1-11111-1111-1-1111-1-11111111-1-1111-1-111-1-11111-1-1111111111111111-1-11-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111-11-1-1-1-11-11-1
χ1811111-1-11111-1111-1-1111-1-11111111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-1-1-11-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11-11-1-111-11-11
χ1911111-1-11111-1111-1-1111-1-11111-1-11-1-1111-1-111-1-11111-1-111111111111111-1111-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-11111-11-11
χ2011111-1-11111-1111-1-1111-1-11111-1-11-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-111-1-1-1-11-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-11-111-1-11-11-1
χ2111111-1-11111-1111-1-1111-1-1-1-1-1-1111-1-111111ii−i−iii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-1-11-111-1-1-1-1-11−ii-1-11111−i−iiiii−i−i−i−iii11-1-1-1-1ii−i−i1-1-111−iii−i−ii
χ2211111-1-11111-1111-1-1111-1-1-1-1-1-1111-1-111111−i−iii−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-1-11-111-1-1-1-1-11i−i-1-11111ii−i−i−i−iiiii−i−i11-1-1-1-1−i−iii1-1-111i−i−iii−i
χ2311111-1-11111-1111-1-1111-1-1-1-1-1-1-1-11-1-111111ii−i−iii−i−iii−i−i-1-1-1-1iiii−i−i−i−i-1111-111-1-1-1-1-11−ii-1-11111−i−iiiii−i−i−i−iii-1-11111−i−iii-111-1-1i−i−iii−i
χ2411111-1-11111-1111-1-1111-1-1-1-1-1-1-1-11-1-111111−i−iii−i−iii−i−iii-1-1-1-1−i−i−i−iiiii-1111-111-1-1-1-1-11i−i-1-11111ii−i−i−i−iiiii−i−i-1-11111ii−i−i-111-1-1−iii−i−ii
χ2511111-1-1111-111-1-111111-1-11111111-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1111-1-111-1-1111111-1-111-1-111-1-111-1-1-1-1-11-11-1111-11-1
χ2611111-1-1111-111-1-111111-1-11111111-1-1111-1-1-1-11111-1-11111111111111111-11-1-11-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-11-11-1-1-1-11-11
χ2711111-1-1111-111-1-111111-1-11111-1-11-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1111-1-111-1-1111111-1-111-1-1-1-111-1-111111-11-11-1-1-11-11
χ2811111-1-1111-111-1-111111-1-11111-1-11-1-1111-1-1-1-11111-1-111111111111111111-11-11-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-11-11111-11-1
χ2911111-1-1111-111-1-111111-1-1-1-1-1-1111-1-111111ii−i−i−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-11-1-11-1-111-1-11-1i−i11-1-111ii−i−iii−i−i−i−iii11-1-1-1-1−i−iii-111-11i−ii−i−ii
χ3011111-1-1111-111-1-111111-1-1-1-1-1-1111-1-111111−i−iiiiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-11-1-11-1-111-1-11-1−ii11-1-111−i−iii−i−iiiii−i−i11-1-1-1-1ii−i−i-111-11−ii−iii−i
χ3111111-1-1111-111-1-111111-1-1-1-1-1-1-1-11-1-111111ii−i−i−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1-11-11-1-111-1-11-1i−i11-1-111ii−i−iii−i−i−i−iii-1-11111ii−i−i1-1-11-1−ii−iii−i
χ3211111-1-1111-111-1-111111-1-1-1-1-1-1-1-11-1-111111−i−iiiiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1-11-11-1-111-1-11-1−ii11-1-111−i−iii−i−iiiii−i−i-1-11111−i−iii1-1-11-1i−ii−i−ii
χ332222-122-1-1-1222-1-1-1-1222-1-1222200-122-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ342222-122-1-1-1222-1-1-1-1222-1-1222200-122-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111111100022-1-1-1-1-1-122-2-2-1-1-1-1-1-1111111111111000000000000000000000
χ352222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-200-122-1-1-1-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i1111−i−i−i−iiiii00022-1-1-1-1-1-1-2-22i−2i111111−i−iii−i−i−i−iiiii000000000000000000000
χ362222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-200-122-1-1-1-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i1111iiii−i−i−i−i00022-1-1-1-1-1-1-2-2−2i2i111111ii−i−iiiii−i−i−i−i000000000000000000000
χ372222-122-1-1-1-2-221111222-1-1222200-122-1-1-1222222-2-22222-2-2-1-1-1-111111111000-2-21111-1-1-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1000000000000000000000
χ382222-122-1-1-1-2-221111222-1-1222200-122-1-1-122-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1000-2-21111-1-1-2-2221111-1-1-1-1-1-111111111000000000000000000000
χ392222-122-1-1-1-2-221111222-1-1-2-2-2-200-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i1111iiii−i−i−i−i000-2-21111-1-122−2i2i-1-1-1-111ii−i−i−i−i−i−iiiii000000000000000000000
χ402222-122-1-1-1-2-221111222-1-1-2-2-2-200-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i1111−i−i−i−iiiii000-2-21111-1-1222i−2i-1-1-1-111−i−iiiiiii−i−i−i−i000000000000000000000
χ412222-1-2-2-1-1-12-22-1-11122211222200-1-2-2-1-1-1-2-222-2-22222-2-222-1-1-1-1-1-1-1-1-1-1-1-10002-2-1-111112-2-2-2-1-111111111-1-111-1-111000000000000000000000
χ422222-1-2-2-1-1-12-22-1-11122211222200-1-2-2-1-1-1-2-2-2-222-2-2-2-222-2-2-1-1-1-1111111110002-2-1-111112-222-1-11111-1-1-1-111-1-111-1-1000000000000000000000
χ432222-1-2-2-1-1-12-22-1-11122211-2-2-2-200-1-2-2-1-1-1222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii0002-2-1-11111-22−2i2i11-1-1-1-1ii−i−i−i−iiiii−i−i000000000000000000000
χ442222-1-2-2-1-1-12-22-1-11122211-2-2-2-200-1-2-2-1-1-122−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−i0002-2-1-11111-222i−2i11-1-1-1-1−i−iiiii−i−i−i−iii000000000000000000000
χ452222-1-2-2-1-1-1-22211-1-122211222200-1-2-2-1-1-1-2-222-2-2-2-222-2-2-2-2-1-1-1-111111111000-2211-1-111-222211-1-111-1-1-1-1-1-111-1-111000000000000000000000
χ462222-1-2-2-1-1-1-22211-1-122211222200-1-2-2-1-1-1-2-2-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000-2211-1-111-22-2-211-1-111111111-1-111-1-1000000000000000000000
χ472222-1-2-2-1-1-1-22211-1-122211-2-2-2-200-1-2-2-1-1-1222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i000-2211-1-1112-22i−2i-1-111-1-1−i−iii−i−iiiii−i−i000000000000000000000
χ482222-1-2-2-1-1-1-22211-1-122211-2-2-2-200-1-2-2-1-1-122−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii000-2211-1-1112-2−2i2i-1-111-1-1ii−i−iii−i−i−i−iii000000000000000000000
χ4922-2-222-2-2-2200200002-2-22-22-22-20022-2-2-222-22i−2i2i−2i002i−2i2i−2i0022-2-2000000000000000002-2000000002-200002i−2i2i−2i2i−2i2i−2i000000000000000000000
χ5022-2-222-2-2-2200200002-2-22-22-22-20022-2-2-222-2−2i2i−2i2i00−2i2i−2i2i0022-2-2000000000000000002-2000000002-20000−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ5122-2-222-2-2-2200200002-2-22-2-22-220022-2-2-22-222-22-200-22-2200-2-222000000000000000002-200000000-2200002-22-2-22-22000000000000000000000
χ5222-2-222-2-2-2200200002-2-22-2-22-220022-2-2-22-22-22-22002-22-200-2-222000000000000000002-200000000-220000-22-222-22-2000000000000000000000
χ5322-2-22-22-2-2200200002-2-2-222-22-2002-22-2-22-222i−2i−2i2i002i−2i−2i2i0022-2-200000000000000000-2200000000-2200002i−2i−2i2i2i−2i−2i2i000000000000000000000
χ5422-2-22-22-2-2200200002-2-2-222-22-2002-22-2-22-22−2i2i2i−2i00−2i2i2i−2i0022-2-200000000000000000-2200000000-220000−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ5522-2-22-22-2-2200200002-2-2-22-22-22002-22-2-222-22-2-2200-222-200-2-22200000000000000000-22000000002-200002-2-22-222-2000000000000000000000
χ5622-2-22-22-2-2200200002-2-2-22-22-22002-22-2-222-2-222-2002-2-2200-2-22200000000000000000-22000000002-20000-222-22-2-22000000000000000000000
χ5722-2-2-12-211-1002−i3i3−i3i32-2-2-112-22-200-12-211-12-22i−2i2i−2i002i−2i2i−2i00-1-11133−3−333−3−300000−i3i3−i3i3-110000−i3i3−i3i3-113−33−3−ii−ii−ii−ii000000000000000000000
χ5822-2-2-12-211-1002−i3i3−i3i32-2-2-112-22-200-12-211-12-2−2i2i−2i2i00−2i2i−2i2i00-1-111−3−333−3−33300000−i3i3−i3i3-110000−i3i3−i3i3-11−33−33i−ii−ii−ii−i000000000000000000000
χ5922-2-2-12-211-1002−i3i3−i3i32-2-2-11-22-2200-12-211-1-222-22-200-22-220011-1-1−i3−i3i3i3i3i3−i3−i300000−i3i3−i3i3-110000i3−i3i3−i31-1−i3i3i3−i3-11-111-11-1000000000000000000000
χ6022-2-2-12-211-1002−i3i3−i3i32-2-2-11-22-2200-12-211-1-22-22-22002-22-20011-1-1i3i3−i3−i3−i3−i3i3i300000−i3i3−i3i3-110000i3−i3i3−i31-1i3−i3−i3i31-11-1-11-11000000000000000000000
χ6122-2-2-12-211-1002i3−i3i3−i32-2-2-112-22-200-12-211-12-22i−2i2i−2i002i−2i2i−2i00-1-111−3−333−3−33300000i3−i3i3−i3-110000i3−i3i3−i3-11−33−33−ii−ii−ii−ii000000000000000000000
χ6222-2-2-12-211-1002i3−i3i3−i32-2-2-112-22-200-12-211-12-2−2i2i−2i2i00−2i2i−2i2i00-1-11133−3−333−3−300000i3−i3i3−i3-110000i3−i3i3−i3-113−33−3i−ii−ii−ii−i000000000000000000000
χ6322-2-2-12-211-1002i3−i3i3−i32-2-2-11-22-2200-12-211-1-222-22-200-22-220011-1-1i3i3−i3−i3−i3−i3i3i300000i3−i3i3−i3-110000−i3i3−i3i31-1i3−i3−i3i3-11-111-11-1000000000000000000000
χ6422-2-2-12-211-1002i3−i3i3−i32-2-2-11-22-2200-12-211-1-22-22-22002-22-20011-1-1−i3−i3i3i3i3i3−i3−i300000i3−i3i3−i3-110000−i3i3−i3i31-1−i3i3i3−i31-11-1-11-11000000000000000000000
χ6522-2-2-1-2211-1002−i3i3i3−i32-2-21-12-22-200-1-2211-1-222i−2i−2i2i002i−2i−2i2i00-1-11133−3−333−3−300000−i3i3i3−i31-10000−i3i3i3−i31-1−33−33−iii−i−iii−i000000000000000000000
χ6622-2-2-1-2211-1002−i3i3i3−i32-2-21-12-22-200-1-2211-1-22−2i2i2i−2i00−2i2i2i−2i00-1-111−3−333−3−33300000−i3i3i3−i31-10000−i3i3i3−i31-13−33−3i−i−iii−i−ii000000000000000000000
χ6722-2-2-1-2211-1002−i3i3i3−i32-2-21-1-22-2200-1-2211-12-22-2-2200-222-20011-1-1−i3−i3i3i3i3i3−i3−i300000−i3i3i3−i31-10000i3−i3−i3i3-11i3−i3−i3i3-111-11-1-11000000000000000000000
χ6822-2-2-1-2211-1002−i3i3i3−i32-2-21-1-22-2200-1-2211-12-2-222-2002-2-220011-1-1i3i3−i3−i3−i3−i3i3i300000−i3i3i3−i31-10000i3−i3−i3i3-11−i3i3i3−i31-1-11-111-1000000000000000000000
χ6922-2-2-1-2211-1002i3−i3−i3i32-2-21-12-22-200-1-2211-1-222i−2i−2i2i002i−2i−2i2i00-1-111−3−333−3−33300000i3−i3−i3i31-10000i3−i3−i3i31-13−33−3−iii−i−iii−i000000000000000000000
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χ10788-8-8-4-8844-400-2−4i34i34i3−4i3-2224-400000012-2-1-110000000000000000000000000000000i3−i3−i3i3-110000000000000000000000000000000000000000000
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χ11316-1616-16-800-88800-400004-44000000002002-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16-1616-8008-8800-4000044-400000000200-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).