Finite Group Databasebeta

← Group #14321068

Character table — Group #14321068

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order1222344666444444510101012122222441212152020202020203030304444444444666644202020204444606060606060444444121212121212121212122020202020204444444444121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1111111-1-1ii−i−i-1-1ii−i−iii−i−i111111-1-1ii−i−iii−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111-1-1-1-111111111111111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1111111-1-1−i−iii-1-1−i−iii−i−iii111111-1-1−i−iii−i−iii-1-1−i−iii-1-1−i−iii
χ511111111111111-1-1111111111111-1-11-1-1-1-11111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1ii−i−iii−i−i11-1-1-1-1-1-1ii−i−iii−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1−i−iii−i−iii11-1-1-1-1-1-1−i−iii−i−iii11ii−i−i11ii−i−i
χ91111111111-1-1-1-1111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ101111111111-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1ii−i−iii−i−i-1-1-1-1-1-111−i−iii−i−iii-1-1ii−i−i11−i−iii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−iii−i−iii-1-1-1-1-1-111ii−i−iii−i−i-1-1−i−iii11ii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1ii−i−iii−i−i-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1ii−i−iii−i−i-1-1111111−i−iii−i−iii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1−i−iii−i−iii-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1−i−iii−i−iii-1-1111111ii−i−iii−i−i11ii−i−i-1-1−i−iii
χ1711111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-11111-1-1-1-111111-111111111-1-111-1-11-11-11-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-11-11-11-11-1
χ1811111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-111111111-1-111-1-11-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-11-111-1-11-11
χ1911111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-11-11111-1-1-1-1-1-111-1-1-11i−i−ii11ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii-11i−i−ii-11i−i−ii
χ2011111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-11-11111-1-1-1-1-1-111-1-1-11−iii−i11−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i-11−iii−i-11−iii−i
χ2111111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-11111-1-1-1-11111-1111111111-1-1-1-111-11-11-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11-11
χ2211111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-1-1-1-1-111111111-1111111111-1-1-1-111-111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-11-1-111-11-1
χ2311111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111ii−i−i−i−iii-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1−iii−i11ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii1-1−iii−i1-1−iii−i
χ2411111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111−i−iiiii−i−i-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1i−i−ii11−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i1-1i−i−ii1-1i−i−ii
χ2511111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-11-11-1-11-11-11
χ2611111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-11-11-111-11-1
χ2711111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-11-1-1-1-11111-1-111-1-1-11i−i−ii11ii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11i−i−ii1-1−iii−i
χ2811111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-11-1-1-1-11111-1-111-1-1-11−iii−i11−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11−iii−i1-1i−i−ii
χ2911111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-11111-1-1-1-11111-1-111-1-1-1-11111-11-11-111-11-11-1
χ3011111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-111-11-11-1-11-11
χ3111111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111ii−i−i−i−iii-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1−iii−i11ii−i−i−i−iii1111-1-1-1-1−i−iiiii−i−i1-1−iii−i-11i−i−ii
χ3211111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111−i−iiiii−i−i-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1i−i−ii11−i−iiiii−i−i1111-1-1-1-1ii−i−i−i−iii1-1i−i−ii-11−iii−i
χ332222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ342222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-2-2-2-2-1-1111111110000000000000000-1-11111000000
χ352222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-22i2i−2i−2i2i2i−2i−2i11110000000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−iii−i−iii000000000000000011−i−iii000000
χ362222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i11110000000000-1-1-1-1-1-1-2-2−2i−2i2i2i11ii−i−iii−i−i000000000000000011ii−i−i000000
χ372222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-12222222222-1-1-1-10000000000-1-11111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ382222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-11111-2-22222-1-111111111000000000000000011-1-1-1-1000000
χ392222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-22i2i−2i−2i2i2i−2i−2i11110000000000-1-1111122−2i−2i2i2i11−i−iii−i−iii0000000000000000-1-1ii−i−i000000
χ402222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i11110000000000-1-11111222i2i−2i−2i11ii−i−iii−i−i0000000000000000-1-1−i−iii000000
χ412222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-1000000000011-1-1112-22-22-211-1-1-1-111110000000000000000-11-11-11000000
χ422222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1000000000011-1-1112-2-22-22111111-1-1-1-10000000000000000-111-11-1000000
χ432222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i1111000000000011-1-111-222i−2i−2i2i-1-1−i−iiiii−i−i00000000000000001-1−iii−i000000
χ442222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i1111000000000011-1-111-22−2i2i2i−2i-1-1ii−i−i−i−iii00000000000000001-1i−i−ii000000
χ452222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-100000000001111-1-1-22-22-2211-1-1-1-1111100000000000000001-11-11-1000000
χ462222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-100000000001111-1-1-222-22-2111111-1-1-1-100000000000000001-1-11-11000000
χ472222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i111100000000001111-1-12-2−2i2i2i−2i-1-1−i−iiiii−i−i0000000000000000-11i−i−ii000000
χ482222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i111100000000001111-1-12-22i−2i−2i2i-1-1ii−i−i−i−iii0000000000000000-11−iii−i000000
χ4922-2-22002-2-222-2-20022-2-20022-2-2000020000002-2-2002-22-200002-22-20022-2-222-2-2000000000000002-22-20000000000002-22-20000000000000000
χ5022-2-22002-2-222-2-20022-2-20022-2-2000020000002-2-200-22-2200002-22-20022-2-222-2-200000000000000-22-22000000000000-22-220000000000000000
χ5122-2-22002-2-222-2-20022-2-200-2-222000020000002-2-2002i−2i−2i2i0000-22-220022-2-2-2-222000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ5222-2-22002-2-222-2-20022-2-200-2-222000020000002-2-200−2i2i2i−2i0000-22-220022-2-2-2-22200000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ5322-2-22002-2-2-2-2220022-2-20022-2-2000020000002-2-2002-22-200002-22-200-2-222-2-222000000000000002-22-2000000000000-22-220000000000000000
χ5422-2-22002-2-2-2-2220022-2-20022-2-2000020000002-2-200-22-2200002-22-200-2-222-2-22200000000000000-22-220000000000002-22-20000000000000000
χ5522-2-22002-2-2-2-2220022-2-200-2-222000020000002-2-2002i−2i−2i2i0000-22-2200-2-22222-2-2000000000000002i−2i−2i2i000000000000−2i2i2i−2i0000000000000000
χ5622-2-22002-2-2-2-2220022-2-200-2-222000020000002-2-200−2i2i2i−2i0000-22-2200-2-22222-2-200000000000000−2i2i2i−2i0000000000002i−2i−2i2i0000000000000000
χ572-22-2200-2-222i−2i2i−2i002-22-2002-2-2200002000000-2-220000002i−2i2i−2i-222-2002i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i0000000000002-22-2000000000000
χ582-22-2200-2-222i−2i2i−2i002-22-2002-2-2200002000000-2-22000000−2i2i−2i2i-222-2002i−2i2i−2i2i−2i2i−2i000000000000000000−2i2i−2i2i000000000000-22-22000000000000
χ592-22-2200-2-222i−2i2i−2i002-22-200-222-200002000000-2-220000002-2-222-2-22002i−2i2i−2i−2i2i−2i2i0000000000000000002-2-22000000000000−2i2i2i−2i000000000000
χ602-22-2200-2-222i−2i2i−2i002-22-200-222-200002000000-2-22000000-222-22-2-22002i−2i2i−2i−2i2i−2i2i000000000000000000-222-20000000000002i−2i−2i2i000000000000
χ612-22-2200-2-22−2i2i−2i2i002-22-2002-2-2200002000000-2-220000002i−2i2i−2i-222-200−2i2i−2i2i−2i2i−2i2i0000000000000000002i−2i2i−2i000000000000-22-22000000000000
χ622-22-2200-2-22−2i2i−2i2i002-22-2002-2-2200002000000-2-22000000−2i2i−2i2i-222-200−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000002-22-2000000000000
χ632-22-2200-2-22−2i2i−2i2i002-22-200-222-200002000000-2-220000002-2-222-2-2200−2i2i−2i2i2i−2i2i−2i0000000000000000002-2-220000000000002i−2i−2i2i000000000000
χ642-22-2200-2-22−2i2i−2i2i002-22-200-222-200002000000-2-22000000-222-22-2-2200−2i2i−2i2i2i−2i2i−2i000000000000000000-222-2000000000000−2i2i2i−2i000000000000
χ652-2-2222-2-22-22i−2i−2i2i002-2-222-22-22-22i−2i00200002-2-22-22-200000000-2-222002i−2i−2i2i2i−2i−2i2i2-200000000002-2000000002i−2i00002i−2i00000000000000000000
χ662-2-2222-2-22-22i−2i−2i2i002-2-222-2-22-222i−2i00200002-2-22-2-220000000022-2-2002i−2i−2i2i−2i2i2i−2i2-20000000000-22000000002i−2i0000−2i2i00000000000000000000
χ672-2-2222-2-22-2−2i2i2i−2i002-2-222-22-22-2−2i2i00200002-2-22-22-200000000-2-22200−2i2i2i−2i−2i2i2i−2i2-200000000002-200000000−2i2i0000−2i2i00000000000000000000
χ682-2-2222-2-22-2−2i2i2i−2i002-2-222-2-22-22−2i2i00200002-2-22-2-220000000022-2-200−2i2i2i−2i2i−2i−2i2i2-20000000000-2200000000−2i2i00002i−2i00000000000000000000
χ692-2-222-22-22-22i−2i−2i2i002-2-22-222-22-2−2i2i0020000-22-22-2-2200000000-2-222002i−2i−2i2i2i−2i−2i2i-220000000000-2200000000−2i2i0000−2i2i00000000000000000000
χ702-2-222-22-22-22i−2i−2i2i002-2-22-22-22-22−2i2i0020000-22-22-22-20000000022-2-2002i−2i−2i2i−2i2i2i−2i-2200000000002-200000000−2i2i00002i−2i00000000000000000000
χ712-2-222-22-22-2−2i2i2i−2i002-2-22-222-22-22i−2i0020000-22-22-2-2200000000-2-22200−2i2i2i−2i−2i2i2i−2i-220000000000-22000000002i−2i00002i−2i00000000000000000000
χ722-2-222-22-22-2−2i2i2i−2i002-2-22-22-22-222i−2i0020000-22-22-22-20000000022-2-200−2i2i2i−2i2i−2i−2i2i-2200000000002-2000000002i−2i0000−2i2i00000000000000000000
χ734444444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-10000000000000044-1-1-1-10000-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000000
χ7444444444444444-4-4-1-1-1-144000044-4-4-11111-1-1-1-1-100000000000000-4-4-1-1-1-10000-1-111110000000000000000-1-111110000000000000000000000
χ754444444444-4-4-4-444-1-1-1-1440000-4-444-1-1-1-1-1-1-1-1-1-100000000000000-4-411110000-1-1-1-1-1-100000000000000001111110000000000000000000000
χ764444444444-4-4-4-4-4-4-1-1-1-1440000-4-4-4-4-11111-1-1-1-1-1000000000000004411110000-1-11111000000000000000011-1-1-1-10000000000000000000000
χ7744444-4-444444444-4-1-1-1-1-4-40000-4-44-4-1-1-11111-1-1-1000000000000004-4-1-1-1-1000011-1-111000000000000000011-1-1110000000000000000000000
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χ1078-88-8800-8-888i−8i8i−8i00-22-220000000000-200000022-20000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000
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χ11416-1616-16-80088-8000000-44-4400000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000

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