Finite Group Databasebeta

← Group #14329016

Character table — Group #14329016

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444445555668888888810101010101010101010121212161616161616161620202020202020202020202020202020202024242424303030303030303030303030303040404040404048486060606060
order1222344666445101010121222224412121520203030304444446666244202060606060606044444444121212121212121212121010202044444444444444121212121212202024444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1
χ31111111111111111111111-1-1111111111111111111-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111111111-1-11111111111-1-1-1-11111-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111111-1-1ii−i−i-1-1-1-111111111111-1-1i−iii−i−i-1-1iiii−i−i−i−i1111-1-1ii−i−iiiii−i−i−i−i-1-1ii−i−i11-1-1-1i−i
χ6111111111111111111-1-1-1-11111111111-1-1−i−iii-1-1-1-111111111111-1-1−ii−i−iii-1-1−i−i−i−iiiii1111-1-1−i−iii−i−i−i−iiiii-1-1−i−iii11-1-1-1−ii
χ7111111111111111111-1-1-1-1-1-111111111-1-1ii−i−i-1-1-1-1-1-1-111111111-1-1i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii−i−i−i−iiiii-1-1ii−i−i-1-1111−ii
χ8111111111111111111-1-1-1-1-1-111111111-1-1−i−iii-1-1-1-1-1-1-111111111-1-1−ii−i−iii-1-1−i−i−i−iiiii-1-1-1-111ii−i−iiiii−i−i−i−i-1-1−i−iii-1-1111i−i
χ91111111111-1-1111111111111-1-111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ101111111111-1-1111111111111-1-111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11111-1-11-1-1-1-1
χ111111111111-1-11111111111-1-1-1-11111111111111111-111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1
χ121111111111-1-11111111111-1-1-1-111111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11111
χ131111111111-1-1111111-1-1-1-111-1-1111111-1-1ii−i−i-1-1-1-11-1-1-1-111-1-1-1-111i−i−i−iii-1-1iiii−i−i−i−i1111-1-1ii−i−i−i−i−i−iiiii11−i−iii-1-1-111i−i
χ141111111111-1-1111111-1-1-1-111-1-1111111-1-1−i−iii-1-1-1-11-1-1-1-111-1-1-1-111−iiii−i−i-1-1−i−i−i−iiiii1111-1-1−i−iiiiiii−i−i−i−i11ii−i−i-1-1-111−ii
χ151111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1-1-1-111-1-111-1-1-1-111i−i−i−iii-1-1iiii−i−i−i−i-1-1-1-111−i−iiiiiii−i−i−i−i11−i−iii111-1-1−ii
χ161111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1-1-1-111-1-111-1-1-1-111−iiii−i−i-1-1−i−i−i−iiiii-1-1-1-111ii−i−i−i−i−i−iiiii11ii−i−i111-1-1i−i
χ1711111-1-11111-11111-1-11111111-11-1-1111-1-111111111-11-11-1-1-111-1-11-1-1-11-11-1-1-111-1-111-1-1-1-11111111111-1-111-1-11-11-11-11-1-11-1-1-1
χ1811111-1-11111-11111-1-11111111-11-1-1111-1-1-1-1-1-11111-11-11-1-1-111-1-11-111-11-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-111-1-11-111
χ1911111-1-11111-11111-1-11111-1-11-11-1-1111-1-1111111111-111-1-1-111-1-11-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-1-111-1111
χ2011111-1-11111-11111-1-11111-1-11-11-1-1111-1-1-1-1-1-111111-111-1-1-111-1-11-111-11-11-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11-1-11-11-111-11-1-1
χ2111111-1-11111-11111-1-1-1-1-1-1111-11-1-111111ii−i−i-1-1-1-1-11-11-1-1-111-1-1-11−iii−i−ii11ii−i−i−i−iii-1-111-1-1ii−i−iii−i−i−i−iii-11i−i−ii1-11-11−ii
χ2211111-1-11111-11111-1-1-1-1-1-1111-11-1-111111−i−iii-1-1-1-1-11-11-1-1-111-1-1-11i−i−iii−i11−i−iiiii−i−i-1-111-1-1−i−iii−i−iiiii−i−i-11−iii−i1-11-11i−i
χ2311111-1-11111-11111-1-1-1-1-1-1-1-11-11-1-111111ii−i−i-1-1-1-11-111-1-1-111-1-1-11−iii−i−ii11ii−i−i−i−iii11-1-111−i−iii−i−iiiii−i−i-11i−i−ii-11-11-1i−i
χ2411111-1-11111-11111-1-1-1-1-1-1-1-11-11-1-111111−i−iii-1-1-1-11-111-1-1-111-1-1-11i−i−iii−i11−i−iiiii−i−i11-1-111ii−i−iii−i−i−i−iii-11−iii−i-11-11-1−ii
χ2511111-1-1111-111111-1-1111111-111-1-1111-1-111111111-1-11-11-1-1-1-111-11-1-1-11-11-1-111-1-111-1-1-1-111111111-1-111-1-111-11-11-11-11-1-11-1-1
χ2611111-1-1111-111111-1-1111111-111-1-1111-1-1-1-1-1-11111-1-11-11-1-1-1-111-11111-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-111-11-1-11-1-1111
χ2711111-1-1111-111111-1-11111-1-1-111-1-1111-1-11111111111-1-11-1-1-1-111-11-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111-111-111
χ2811111-1-1111-111111-1-11111-1-1-111-1-1111-1-1-1-1-1-1111111-1-11-1-1-1-111-11111-11-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-11-11-111-1-1-1
χ2911111-1-1111-111111-1-1-1-1-1-111-111-1-111111ii−i−i-1-1-1-1-1-11-11-1-1-1-1111-1−ii−iii−i11ii−i−i−i−iii-1-111-1-1ii−i−i−i−iiiii−i−i1-1−iii−i-1111-1−ii
χ3011111-1-1111-111111-1-1-1-1-1-111-111-1-111111−i−iii-1-1-1-1-1-11-11-1-1-1-1111-1i−ii−i−ii11−i−iiiii−i−i-1-111-1-1−i−iiiii−i−i−i−iii1-1i−i−ii-1111-1i−i
χ3111111-1-1111-111111-1-1-1-1-1-1-1-1-111-1-111111ii−i−i-1-1-1-111-1-11-1-1-1-1111-1−ii−iii−i11ii−i−i−i−iii11-1-111−i−iiiii−i−i−i−iii1-1−iii−i1-1-1-11i−i
χ3211111-1-1111-111111-1-1-1-1-1-1-1-1-111-1-111111−i−iii-1-1-1-111-1-11-1-1-1-1111-1i−ii−i−ii11−i−iiiii−i−i11-1-111ii−i−i−i−iiiii−i−i1-1i−i−ii1-1-1-11−ii
χ332222-122-1-1-1222222-1-1222200-1-1-122-1-1-1222222-1-1-1-100022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-10000000
χ342222-122-1-1-1222222-1-1222200-1-1-122-1-1-122-2-2-2-2-1-1-1-100022-1-1-1-1-1-122-2-2-2-2-2-2-1-111111111000000000000000000-1-111110000000
χ352222-122-1-1-1222222-1-1-2-2-2-200-1-1-122-1-1-1-2-22i2i−2i−2i111100022-1-1-1-1-1-1-2-22i−2i2i2i−2i−2i11−i−i−i−iiiii00000000000000000011−i−iii0000000
χ362222-122-1-1-1222222-1-1-2-2-2-200-1-1-122-1-1-1-2-2−2i−2i2i2i111100022-1-1-1-1-1-1-2-2−2i2i−2i−2i2i2i11iiii−i−i−i−i00000000000000000011ii−i−i0000000
χ372222-122-1-1-1-2-22222-1-122220011-122-1-1-1222222-1-1-1-1000-2-2-1-11111-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000001111110000000
χ382222-122-1-1-1-2-22222-1-122220011-122-1-1-122-2-2-2-2-1-1-1-1000-2-2-1-11111-2-2-2-22222-1-11111111100000000000000000011-1-1-1-10000000
χ392222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-1-1-1-2-22i2i−2i−2i1111000-2-2-1-11111222i−2i−2i−2i2i2i11−i−i−i−iiiii000000000000000000-1-1ii−i−i0000000
χ402222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-1-1-1-2-2−2i−2i2i2i1111000-2-2-1-1111122−2i2i2i2i−2i−2i11iiii−i−i−i−i000000000000000000-1-1−i−iii0000000
χ412222-1-2-2-1-1-12-2222211222200-11-1-2-2-1-1-1-2-22222-1-1-1-10002-211-1-1112-2-2-22-22-211-1-111-1-111000000000000000000-11-11-110000000
χ422222-1-2-2-1-1-12-2222211222200-11-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-10002-211-1-1112-222-22-221111-1-111-1-1000000000000000000-111-11-10000000
χ432222-1-2-2-1-1-12-2222211-2-2-2-200-11-1-2-2-1-1-1222i2i−2i−2i11110002-211-1-111-22−2i2i2i−2i−2i2i-1-1−i−iiiii−i−i0000000000000000001-1−iii−i0000000
χ442222-1-2-2-1-1-12-2222211-2-2-2-200-11-1-2-2-1-1-122−2i−2i2i2i11110002-211-1-111-222i−2i−2i2i2i−2i-1-1ii−i−i−i−iii0000000000000000001-1i−i−ii0000000
χ452222-1-2-2-1-1-1-222222112222001-1-1-2-2-1-1-1-2-22222-1-1-1-1000-221111-1-1-22-2-2-22-2211-1-111-1-1110000000000000000001-11-11-10000000
χ462222-1-2-2-1-1-1-222222112222001-1-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1000-221111-1-1-22222-22-21111-1-111-1-10000000000000000001-1-11-110000000
χ472222-1-2-2-1-1-1-22222211-2-2-2-2001-1-1-2-2-1-1-1222i2i−2i−2i1111000-221111-1-12-2−2i2i−2i2i2i−2i-1-1−i−iiiii−i−i000000000000000000-11i−i−ii0000000
χ482222-1-2-2-1-1-1-22222211-2-2-2-2001-1-1-2-2-1-1-122−2i−2i2i2i1111000-221111-1-12-22i−2i2i−2i−2i2i-1-1ii−i−i−i−iii000000000000000000-11−iii−i0000000
χ492-22-22002-2-2002-22-2002-22-22i−2i002002-2-2002i−2i2i−2i-22-220000000000000000000002i−2i002i−2i00002i−2i2i−2i2-22-2000000000000000000000
χ502-22-22002-2-2002-22-2002-22-22i−2i002002-2-200−2i2i−2i2i-22-22000000000000000000000−2i2i00−2i2i00002i−2i2i−2i-22-22000000000000000000000
χ512-22-22002-2-2002-22-2002-22-2−2i2i002002-2-2002i−2i2i−2i-22-220000000000000000000002i−2i002i−2i0000−2i2i−2i2i-22-22000000000000000000000
χ522-22-22002-2-2002-22-2002-22-2−2i2i002002-2-200−2i2i−2i2i-22-22000000000000000000000−2i2i00−2i2i0000−2i2i−2i2i2-22-2000000000000000000000
χ532-22-22002-2-2002-22-200-22-222i−2i002002-2-2002-2-222-22-20000000000000000000002-200-2200002i−2i−2i2i−2i2i2i−2i000000000000000000000
χ542-22-22002-2-2002-22-200-22-222i−2i002002-2-200-222-22-22-2000000000000000000000-22002-200002i−2i−2i2i2i−2i−2i2i000000000000000000000
χ552-22-22002-2-2002-22-200-22-22−2i2i002002-2-2002-2-222-22-20000000000000000000002-200-220000−2i2i2i−2i2i−2i−2i2i000000000000000000000
χ562-22-22002-2-2002-22-200-22-22−2i2i002002-2-200-222-22-22-2000000000000000000000-22002-20000−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ572-2-2222-2-2-22002-2-222-222-2-2000022-2-2-222-20000-222-2000002-20000000000002-20000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000
χ582-2-2222-2-2-22002-2-222-222-2-2000022-2-2-222-20000-222-2000002-20000000000002-2000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000
χ592-2-2222-2-2-22002-2-222-2-2-222000022-2-2-22-2200002-2-22000002-2000000000000-220000000000000000002-22-2-22-220000000000000
χ602-2-2222-2-2-22002-2-222-2-2-222000022-2-2-22-2200002-2-22000002-2000000000000-22000000000000000000-22-222-22-20000000000000
χ612-2-222-22-2-22002-2-22-2222-2-200002-22-2-22-220000-222-200000-22000000000000-220000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000
χ622-2-222-22-2-22002-2-22-2222-2-200002-22-2-22-220000-222-200000-22000000000000-22000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000
χ632-2-222-22-2-22002-2-22-22-2-22200002-22-2-222-200002-2-2200000-220000000000002-20000000000000000002-2-22-222-20000000000000
χ642-2-222-22-2-22002-2-22-22-2-22200002-22-2-222-200002-2-2200000-220000000000002-2000000000000000000-222-22-2-220000000000000
χ65444444444444-1-1-1-14400004444-1-1-1-1-1-10000000000444-1-1-1-1-1-1-1-1000000000000000000-1-1-1-100000000000000000000-1-100000
χ66444444444444-1-1-1-1440000-4-444-1-1-1-1-1-10000000000-4-4-4-1-1-1-1-1-1-1-10000000000000000001111000000000000000000001100000
χ674444444444-4-4-1-1-1-144000044-4-4-1-1-1-1-1-100000000004-4-411-1-11111000000000000000000-1-1-1-1000000000000000000001100000
χ684444444444-4-4-1-1-1-1440000-4-4-4-4-1-1-1-1-1-10000000000-44411-1-11111000000000000000000111100000000000000000000-1-100000
χ6944444-4-44444-4-1-1-1-1-4-40000444-4-111-1-1-10000000000-44-4-1111-1-11100000000000000000011-1-100000000000000000000-1100000
χ7044444-4-44444-4-1-1-1-1-4-40000-4-44-4-111-1-1-100000000004-44-1111-1-111000000000000000000-1-111000000000000000000001-100000
χ7144444-4-4444-44-1-1-1-1-4-4000044-44-111-1-1-10000000000-4-441-11111-1-100000000000000000011-1-1000000000000000000001-100000
χ7244444-4-4444-44-1-1-1-1-4-40000-4-4-44-111-1-1-1000000000044-41-11111-1-1000000000000000000-1-11100000000000000000000-1100000
χ7344-4-4400-44-40044-4-4004-4-440000400-44-400000044-4-4000000000000000000000000000000000000000000000000000000000000
χ7444-4-4400-44-40044-4-400-444-40000400-44-4000000-4-444000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-2002-220044-4-4004-4-440000-2002-22000000-2-22200000000000000000000000−2i32i300−2i32i30000000000000000000000000000000
χ7644-4-4-2002-220044-4-4004-4-440000-2002-22000000-2-222000000000000000000000002i3−2i3002i3−2i30000000000000000000000000000000
χ7744-4-4-2002-220044-4-400-444-40000-2002-2200000022-2-20000000000000000000000023−2300−23230000000000000000000000000000000
χ7844-4-4-2002-220044-4-400-444-40000-2002-2200000022-2-200000000000000000000000−23230023−230000000000000000000000000000000
χ794-44-4-200-222004-44-4004-44-40000-200-222004i−4i4i−4i2-22-2000000000000000000000−2i2i00−2i2i000000000000000000000000000000000
χ804-44-4-200-222004-44-4004-44-40000-200-22200−4i4i−4i4i2-22-20000000000000000000002i−2i002i−2i000000000000000000000000000000000
χ814-44-4-200-222004-44-400-44-440000-200-222004-4-44-22-22000000000000000000000-22002-2000000000000000000000000000000000
χ824-44-4-200-222004-44-400-44-440000-200-22200-444-4-22-220000000000000000000002-200-22000000000000000000000000000000000
χ834-4-44-24-422-2004-4-44-2244-4-40000-24-422-24-400002-2-2200000-22000000000000-22000000000000000000000000000000000000000
χ844-4-44-24-422-2004-4-44-22-4-4440000-24-422-2-440000-222-200000-220000000000002-2000000000000000000000000000000000000000
χ854-4-44-2-4422-2004-4-442-244-4-40000-2-4422-2-4400002-2-22000002-20000000000002-2000000000000000000000000000000000000000
χ864-4-44-2-4422-2004-4-442-2-4-4440000-2-4422-24-40000-222-2000002-2000000000000-22000000000000000000000000000000000000000
χ878888-488-4-4-488-2-2-2-2-4-4000000-4-41-2-21110000000000000-2-21111110000000000000000000000000000000000000000000000000
χ888888-488-4-4-4-8-8-2-2-2-2-4-4000000441-2-211100000000000002211-1-1-1-10000000000000000000000000000000000000000000000000
χ898888-4-8-8-4-4-48-8-2-2-2-244000000-441221110000000000000-22-1-111-1-10000000000000000000000000000000000000000000000000
χ908888-4-8-8-4-4-4-88-2-2-2-2440000004-412211100000000000002-2-1-1-1-1110000000000000000000000000000000000000000000000000
χ9188-8-8800-88-800-2-2220000000000-2002-22000000000000000000000000000000000000000−252500000000000000000000000000000
χ9288-8-8800-88-800-2-2220000000000-2002-2200000000000000000000000000000000000000025−2500000000000000000000000000000
χ938-88-88008-8-800-22-220000008i−8i00-200-22200000000000000000000000000000000000000000−2i2i000000000000000000000000000
χ948-88-88008-8-800-22-22000000−8i8i00-200-222000000000000000000000000000000000000000002i−2i000000000000000000000000000
χ958-8-8888-8-8-8800-222-28-800000000-2-2222-2000000000000000-2200000000000000000000000000000000000000000000000000000
χ968-8-888-88-8-8800-222-2-8800000000-22-222-20000000000000002-200000000000000000000000000000000000000000000000000000
χ978-8-88-48-844-400-222-2-44000000001-22-1-110000000000000001-1−i15i15−i15i150000000000000000000000000000000000000000000000000
χ988-8-88-48-844-400-222-2-44000000001-22-1-110000000000000001-1i15−i15i15−i150000000000000000000000000000000000000000000000000
χ998-8-88-4-8844-400-222-24-40000000012-2-1-11000000000000000-11−i15i15i15−i150000000000000000000000000000000000000000000000000
χ1008-8-88-4-8844-400-222-24-40000000012-2-1-11000000000000000-11i15−i15−i15i150000000000000000000000000000000000000000000000000
χ1011616-16-16-8008-8800-4-4440000000000200-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1616-16-800-88800-44-4400000000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000

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