Finite Group Databasebeta

← Group #14329504

Character table — Group #14329504

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122224444444445555666688888888101010101010101010101010121216161616161616162020202020202020202020202020202020242424243030303030303030303030304040404040404848606060606060
order1222366622456610101022224444612152020303030444444446666221010303030306060224444466121212121212121220202020444444444444612121212121010224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111111111iiii−i−i−i−i-1-1-1-11111111111-1-1-1ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i11-1-1ii−i−i
χ611111111111111111-1-1-1-1111111111111−i−i−i−iiiii-1-1-1-11111111111-1-1-1−i−iii-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1−i−iii11-1-1−i−iii
χ711111111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1-1-111111111-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1ii−i−i-1-111−i−iii
χ811111111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1-1-111111111-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1−i−iii-1-111ii−i−i
χ9111111111-1-1111111111111-1-1-1-11-1-11111111111111111-11-111-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-11-11-11-1
χ10111111111-1-1111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111111-11-1-11-11
χ11111111111-1-11111111111-1-111-1-11-1-1111111111111111-111-111-1-1-1-11-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-11-11-11
χ12111111111-1-11111111111-1-111-1-11-1-1111-1-1-1-1-1-1-1-11111-111-111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-11-111-11-1
χ13111111111-1-1111111-1-1-1-111-1-1-1-11-1-1111iiii−i−i−i−i-1-1-1-11-11-111-1-1-1-1-111−i−iii-1-1iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii11−i−iii1-1-11i−i−ii
χ14111111111-1-1111111-1-1-1-111-1-1-1-11-1-1111−i−i−i−iiiii-1-1-1-11-11-111-1-1-1-1-111ii−i−i-1-1−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i11ii−i−i1-1-11−iii−i
χ15111111111-1-1111111-1-1-1-1-1-111-1-11-1-1111iiii−i−i−i−i-1-1-1-1-111-111-1-1-1-1-111−i−iii-1-1iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11−i−iii-111-1−iii−i
χ16111111111-1-1111111-1-1-1-1-1-111-1-11-1-1111−i−i−i−iiiii-1-1-1-1-111-111-1-1-1-1-111ii−i−i-1-1−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11ii−i−i-111-1i−i−ii
χ1711111111-11-11-1-1111111111-1-11-11-1-111111-1-111-1-11111-11-11-1-111-1-1-11-11-11-1-1-111-1-111-1-111-1-111-1-1111111111-11-11-1-11-11-1-1-1-1
χ1811111111-11-11-1-1111111111-1-11-11-1-1111-1-111-1-1111111-11-11-1-111-1-1-11-1-11-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-11-11-111111
χ1911111111-11-11-1-11111111-1-1111-11-1-111111-1-111-1-111111-1-11-1-111-1-1-11-11-11-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-11-11-11-11111
χ2011111111-11-11-1-11111111-1-1111-11-1-1111-1-111-1-11111111-1-11-1-111-1-1-11-1-11-11-1-1-1-111-1-111-1-111-1-111111111111-1-11-111-11-1-1-1-1-1
χ2111111111-11-11-1-1111-1-1-1-111-1-11-11-1-1111ii−i−i−i−iii-1-1-1-1-11-11-1-111-1-11-11i−i−ii11ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i-11i−i−ii-111-1−i−iii
χ2211111111-11-11-1-1111-1-1-1-111-1-11-11-1-1111−i−iiiii−i−i-1-1-1-1-11-11-1-111-1-11-11−iii−i11−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiii-11−iii−i-111-1ii−i−i
χ2311111111-11-11-1-1111-1-1-1-1-1-1111-11-1-1111ii−i−i−i−iii-1-1-1-11-1-11-1-111-1-11-11i−i−ii11ii−i−i−i−iii-1-11111-1-1−i−i−i−iiiii-11i−i−ii1-1-11ii−i−i
χ2411111111-11-11-1-1111-1-1-1-1-1-1111-11-1-1111−i−iiiii−i−i-1-1-1-11-1-11-1-111-1-11-11−iii−i11−i−iiiii−i−i-1-11111-1-1iiii−i−i−i−i-11−iii−i1-1-11−i−iii
χ2511111111-1-111-1-111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11-11-1-111-1-111-1-11111111111-1-111-1-1-11-11-11-1-1-1-1-11-11
χ2611111111-1-111-1-111111111111-11111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-111-1-11111111111-1-111-1-111-111-11-1-1-1-1-11-11-1
χ2711111111-1-111-1-11111111-1-1-1-1-1111111111-1-111-1-1111111-1-1-1-1-1-111-1-11-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1111111-11-1
χ2811111111-1-111-1-11111111-1-1-1-1-11111111-1-111-1-111111111-1-1-1-1-1-111-1-111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-111-11-11111-11-11
χ2911111111-1-111-1-1111-1-1-1-11111-11111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1−iii−i11ii−i−i−i−iii1111-1-1-1-1ii−i−i−i−iii1-1−iii−i-1-111−iii−i
χ3011111111-1-111-1-1111-1-1-1-11111-11111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1i−i−ii11−i−iiiii−i−i1111-1-1-1-1−i−iiiii−i−i1-1i−i−ii-1-111i−i−ii
χ3111111111-1-111-1-1111-1-1-1-1-1-1-1-1-11111111ii−i−i−i−iii-1-1-1-111-1-1-1-1-1-11111-1−iii−i11ii−i−i−i−iii-1-1-1-11111−i−iiiii−i−i1-1−iii−i11-1-1i−i−ii
χ3211111111-1-111-1-1111-1-1-1-1-1-1-1-1-11111111−i−iiiii−i−i-1-1-1-111-1-1-1-1-1-11111-1i−i−ii11−i−iiiii−i−i-1-1-1-11111ii−i−i−i−iii1-1i−i−ii11-1-1−iii−i
χ332222-1-1-1-12222-1-122222220000-1-1-122-1-1-122222222-1-1-1-10022-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-100000000
χ342222-1-1-1-12222-1-122222220000-1-1-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-10022-1-1-1-1-1-1222-2-2-2-2-1-1111111110000000000000000-1-1111100000000
χ352222-1-1-1-12222-1-1222-2-2-2-20000-1-1-122-1-1-12i2i2i2i−2i−2i−2i−2i11110022-1-1-1-1-1-1-2-2-22i2i−2i−2i11−i−i−i−iiiii000000000000000011−i−iii00000000
χ362222-1-1-1-12222-1-1222-2-2-2-20000-1-1-122-1-1-1−2i−2i−2i−2i2i2i2i2i11110022-1-1-1-1-1-1-2-2-2−2i−2i2i2i11iiii−i−i−i−i000000000000000011ii−i−i00000000
χ372222-1-1-1-12-2-22-1-12222222000011-1-2-2-1-1-122222222-1-1-1-1002-2-1-111112-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000000011111100000000
χ382222-1-1-1-12-2-22-1-12222222000011-1-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1002-2-1-111112-2-22222-1-111111111000000000000000011-1-1-1-100000000
χ392222-1-1-1-12-2-22-1-1222-2-2-2-2000011-1-2-2-1-1-12i2i2i2i−2i−2i−2i−2i1111002-2-1-11111-222−2i−2i2i2i11−i−i−i−iiiii0000000000000000-1-1ii−i−i00000000
χ402222-1-1-1-12-2-22-1-1222-2-2-2-2000011-1-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i1111002-2-1-11111-2222i2i−2i−2i11iiii−i−i−i−i0000000000000000-1-1−i−iii00000000
χ412222-1-1-1-1-22-221122222220000-11-1-2-2-1-1-122-2-222-2-2-1-1-1-100-2211-1-111-22-22-22-211-1-111-1-1110000000000000000-11-11-1100000000
χ422222-1-1-1-1-22-221122222220000-11-1-2-2-1-1-1-2-222-2-222-1-1-1-100-2211-1-111-22-2-22-221111-1-111-1-10000000000000000-111-11-100000000
χ432222-1-1-1-1-22-2211222-2-2-2-20000-11-1-2-2-1-1-12i2i−2i−2i−2i−2i2i2i111100-2211-1-1112-222i−2i−2i2i-1-1−i−iiiii−i−i00000000000000001-1−iii−i00000000
χ442222-1-1-1-1-22-2211222-2-2-2-20000-11-1-2-2-1-1-1−2i−2i2i2i2i2i−2i−2i111100-2211-1-1112-22−2i2i2i−2i-1-1ii−i−i−i−iii00000000000000001-1i−i−ii00000000
χ452222-1-1-1-1-2-22211222222200001-1-122-1-1-122-2-222-2-2-1-1-1-100-2-21111-1-1-2-22-22-2211-1-111-1-11100000000000000001-11-11-100000000
χ462222-1-1-1-1-2-22211222222200001-1-122-1-1-1-2-222-2-222-1-1-1-100-2-21111-1-1-2-222-22-21111-1-111-1-100000000000000001-1-11-1100000000
χ472222-1-1-1-1-2-22211222-2-2-2-200001-1-122-1-1-12i2i−2i−2i−2i−2i2i2i111100-2-21111-1-122-2−2i2i2i−2i-1-1−i−iiiii−i−i0000000000000000-11i−i−ii00000000
χ482222-1-1-1-1-2-22211222-2-2-2-200001-1-122-1-1-1−2i−2i2i2i2i2i−2i−2i111100-2-21111-1-122-22i−2i−2i2i-1-1ii−i−i−i−iii0000000000000000-11−iii−i00000000
χ492-22-222-2-2000200-22-222-2-2002-2002002-2-2002i−2i002i−2i22-2-20000000000000000000002i−2i002i−2i002-2002-2002i−2i002i−2i00000000000000
χ502-22-222-2-2000200-22-222-2-2002-2002002-2-200−2i2i00−2i2i22-2-2000000000000000000000−2i2i00−2i2i002-2002-200−2i2i00−2i2i00000000000000
χ512-22-222-2-2000200-22-222-2-200-22002002-2-2002i−2i002i−2i22-2-20000000000000000000002i−2i002i−2i00-2200-2200−2i2i00−2i2i00000000000000
χ522-22-222-2-2000200-22-222-2-200-22002002-2-200−2i2i00−2i2i22-2-2000000000000000000000−2i2i00−2i2i00-2200-22002i−2i002i−2i00000000000000
χ532-22-222-2-2000200-22-2-2-222002-2002002-2-2002-200-22-2-2220000000000000000000002-200-22002-200-22002-200-2200000000000000
χ542-22-222-2-2000200-22-2-2-222002-2002002-2-200-22002-2-2-222000000000000000000000-22002-2002-200-2200-22002-200000000000000
χ552-22-222-2-2000200-22-2-2-22200-22002002-2-2002-200-22-2-2220000000000000000000002-200-2200-22002-200-22002-200000000000000
χ562-22-222-2-2000200-22-2-2-22200-22002002-2-200-22002-2-2-222000000000000000000000-22002-200-22002-2002-200-2200000000000000
χ572-2-222-22-2000200-2-222-22-22-20000200-22-22i−2i002i−2i002-22-200000000000000000002i−2i002i−2i002-2002-2002i−2i002i−2i0000000000000000
χ582-2-222-22-2000200-2-222-22-22-20000200-22-2−2i2i00−2i2i002-22-20000000000000000000−2i2i00−2i2i002-2002-200−2i2i00−2i2i0000000000000000
χ592-2-222-22-2000200-2-222-22-2-220000200-22-22i−2i002i−2i002-22-200000000000000000002i−2i002i−2i00-2200-2200−2i2i00−2i2i0000000000000000
χ602-2-222-22-2000200-2-222-22-2-220000200-22-2−2i2i00−2i2i002-22-20000000000000000000−2i2i00−2i2i00-2200-22002i−2i002i−2i0000000000000000
χ612-2-222-22-2000200-2-22-22-222-20000200-22-22-200-2200-22-2200000000000000000002-200-22002-200-22002-200-220000000000000000
χ622-2-222-22-2000200-2-22-22-222-20000200-22-2-22002-200-22-220000000000000000000-22002-2002-200-2200-22002-20000000000000000
χ632-2-222-22-2000200-2-22-22-22-220000200-22-22-200-2200-22-2200000000000000000002-200-2200-22002-200-22002-20000000000000000
χ642-2-222-22-2000200-2-22-22-22-220000200-22-2-22002-200-22-220000000000000000000-22002-200-22002-2002-200-220000000000000000
χ6544444444444-144-1-1-10000444444-1-1-1-1-1-100000000000044-1-1-1-1-1-1-1-100000000000000000-1-1-1-1000000000000000000-1-1000000
χ6644444444444-144-1-1-10000-4-4-4-444-1-1-1-1-1-1000000000000-4-4-1-1-1-1-1-1-1-100000000000000000111100000000000000000011000000
χ67444444444-4-4-144-1-1-1000044-4-4-4-4-111-1-1-10000000000004-4-11-1-1111100000000000000000-1-111000000000000000000-11000000
χ68444444444-4-4-144-1-1-10000-4-444-4-4-111-1-1-1000000000000-44-11-1-111110000000000000000011-1-10000000000000000001-1000000
χ6944444444-44-4-1-4-4-1-1-1000044-4-44-4-111-1-1-1000000000000-441-111-1-11100000000000000000-1-1110000000000000000001-1000000
χ7044444444-44-4-1-4-4-1-1-10000-4-4444-4-111-1-1-10000000000004-41-111-1-1110000000000000000011-1-1000000000000000000-11000000
χ7144444444-4-44-1-4-4-1-1-100004444-44-1-1-1-1-1-1000000000000-4-4111111-1-100000000000000000-1-1-1-100000000000000000011000000
χ7244444444-4-44-1-4-4-1-1-10000-4-4-4-4-44-1-1-1-1-1-100000000000044111111-1-1000000000000000001111000000000000000000-1-1000000
χ7344-4-44-4-440004004-4-44-4-44000000400-4-44000000004-4-44000000000000000000000000000000000000000000000000000000000
χ7444-4-44-4-440004004-4-4-444-4000000400-4-4400000000-444-4000000000000000000000000000000000000000000000000000000000
χ7544-4-4-222-20004−2i32i34-4-44-4-44000000-20022-200000000-222-20000−2i32i300000000000−2i32i300000000000000000000000000000000000000
χ7644-4-4-222-20004−2i32i34-4-4-444-4000000-20022-2000000002-2-220000−2i32i3000000000002i3−2i300000000000000000000000000000000000000
χ7744-4-4-222-200042i3−2i34-4-44-4-44000000-20022-200000000-222-200002i3−2i3000000000002i3−2i300000000000000000000000000000000000000
χ7844-4-4-222-200042i3−2i34-4-4-444-4000000-20022-2000000002-2-2200002i3−2i300000000000−2i32i300000000000000000000000000000000000000
χ794-44-4-2-222000400-44-444-4-4000000-200-222004i−4i004i−4i-2-222000000000000000000000−2i2i00−2i2i000000000000000000000000000000
χ804-44-4-2-222000400-44-444-4-4000000-200-22200−4i4i00−4i4i-2-2220000000000000000000002i−2i002i−2i000000000000000000000000000000
χ814-44-4-2-222000400-44-4-4-444000000-200-222004-400-4422-2-2000000000000000000000-22002-2000000000000000000000000000000
χ824-44-4-2-222000400-44-4-4-444000000-200-22200-44004-422-2-20000000000000000000002-200-22000000000000000000000000000000
χ834-4-44-22-22000400-4-444-44-4000000-2002-224i−4i004i−4i00-22-220000000000000000000−2i2i00−2i2i00000000000000000000000000000000
χ844-4-44-22-22000400-4-444-44-4000000-2002-22−4i4i00−4i4i00-22-2200000000000000000002i−2i002i−2i00000000000000000000000000000000
χ854-4-44-22-22000400-4-44-44-44000000-2002-224-400-44002-22-20000000000000000000-22002-200000000000000000000000000000000
χ864-4-44-22-22000400-4-44-44-44000000-2002-22-44004-4002-22-200000000000000000002-200-2200000000000000000000000000000000
χ878888-4-4-4-4888-2-4-4-2-2-200000000-4-41-2-211100000000000000-2-211111100000000000000000000000000000000000000000000000
χ888888-4-4-4-48-8-8-2-4-4-2-2-2000000004412211100000000000000-2211-1-1-1-100000000000000000000000000000000000000000000000
χ898888-4-4-4-4-88-8-244-2-2-200000000-44122111000000000000002-2-1-111-1-100000000000000000000000000000000000000000000000
χ908888-4-4-4-4-8-88-244-2-2-2000000004-41-2-21110000000000000022-1-1-1-11100000000000000000000000000000000000000000000000
χ9188-8-88-8-88000-200-2220000000000-2−252522-200000000000000000000−252500000000000000000000000000000000000000000000000
χ9288-8-88-8-88000-200-2220000000000-225−2522-20000000000000000000025−2500000000000000000000000000000000000000000000000
χ9388-8-8-444-4000-2−4i34i3-22200000000001−2525-1-110000000000000000i3−i3−i15i155−500000000000000000000000000000000000000000000000
χ9488-8-8-444-4000-2−4i34i3-2220000000000125−25-1-110000000000000000i3−i3i15−i15−5500000000000000000000000000000000000000000000000
χ9588-8-8-444-4000-24i3−4i3-22200000000001−2525-1-110000000000000000−i3i3i15−i155−500000000000000000000000000000000000000000000000
χ9688-8-8-444-4000-24i3−4i3-2220000000000125−25-1-110000000000000000−i3i3−i15i15−5500000000000000000000000000000000000000000000000
χ978-88-888-8-8000-2002-220000008-800-200-22200000000000000000000000000000000000000000-2200000000000000000000000000
χ988-88-888-8-8000-2002-22000000-8800-200-222000000000000000000000000000000000000000002-200000000000000000000000000
χ998-8-888-88-8000-20022-200008-80000-2002-22000000000000000000000000000000000000000-220000000000000000000000000000
χ1008-8-888-88-8000-20022-20000-880000-2002-220000000000000000000000000000000000000002-20000000000000000000000000000
χ10116-1616-16-8-888000-4004-4400000000002002-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16-1616-88-88000-40044-40000000000200-22-2000000000000000000000000000000000000000000000000000000000000000000000

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