Finite Group Databasebeta

← Group #14327653

Character table — Group #14327653

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222244444444444445555666688888888888888888888101010101010101010101010101010101010101012122020202020202020202020202020202020202020202020202024242424242424243030303060606060606060606060
order122234444666121212122566101010121220202020222222441010152020303030303030306060606060606060444444444444666612121212442444466121212121212121212121212121212121212101020202020202022444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1iiii−i−i−i−i
χ611111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1−i−i−i−iiiii
χ711111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111−i−i−i−iiiii
χ811111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111iiii−i−i−i−i
χ91111111-1-11111111-11-1-1111-1-1-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-111-1-111-1-111-1-111111111-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ101111111-1-11111111-11-1-1111-1-1-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111
χ111111111-1-11111111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-111-1-111-1-11111111111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111111-1-11111111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1111111111111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ131111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11i−i−ii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ141111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ151111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1111i−i−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1−i−iiiii−i−i
χ161111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1111−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1ii−i−i−i−iii
χ1711111-1-111111-1-1-1-1-11-1-1111111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-111-11-11-11-1
χ1811111-1-111111-1-1-1-1-11-1-1111111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-11-11-11-11-11
χ1911111-1-111111-1-1-1-1-11-1-11111111111111-1-111-1-11-1-111-1-1-1-11-1-1-1-11111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11-11-11-11
χ2011111-1-111111-1-1-1-1-11-1-11111111111111-1-111-1-11-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111-11-11-11-11-1
χ2111111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-11-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11111-111−i−iii11-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-1111-1i−ii−i−ii−ii
χ2211111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-11-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11111-111ii−i−i11-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-1111-1−ii−iii−ii−i
χ2311111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-111111-11−i−iii11-1-1ii−i−iii−i−i−i−iii−i−iii-1-11111-1-111-1-1-11−ii−iii−ii−i
χ2411111-1-111111-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-111111-11ii−i−i11-1-1−i−iii−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-11i−ii−i−ii−ii
χ2511111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-11-1-111-1-11
χ2611111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-11-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11-1-111-1-111-1
χ2711111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-11111-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-11-111-1-111-1
χ2811111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-11111-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-111-1-111-1-11
χ2911111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-111111-1-1−iii−i-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-1-111-11i−i−ii−iii−i
χ3011111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-111111-1-1i−i−ii-1-111−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-1-111-11−iii−ii−i−ii
χ3111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111-11-1−iii−i-1-111ii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-11-1−iii−ii−i−ii
χ3211111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111-11-1i−i−ii-1-111−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-11-1i−i−ii−iii−i
χ332222-12222-1-1-1-1-1-1-122-1-1222-1-122222222000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-10022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ342222-12222-1-1-1-1-1-1-122-1-1222-1-122222222000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1002-2-2-2-2-1-1-1-111111111111111110000000000000000000000
χ352222-12222-1-1-1-1-1-1-122-1-1222-1-12222-2-2-2-2000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i1111111100-22i2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000
χ362222-12222-1-1-1-1-1-1-122-1-1222-1-12222-2-2-2-2000022-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i1111111100-2−2i−2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000
χ372222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-222220000-2-2-122-1-11111-1-1-1-1-1111122-2-222-2-222-2-2-1-1-1-1-1-1-1-100-22-22-21111-1-1-1-11111-1-1-1-111110000000000000000000000
χ382222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-222220000-2-2-122-1-11111-1-1-1-1-1111122-2-2-2-222-2-222-1-1-1-1-1-1-1-100-2-22-2211111111-1-1-1-11111-1-1-1-10000000000000000000000
χ392222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-2-20000-2-2-122-1-11111-1-1-1-1-11111-2-2222i2i−2i−2i−2i−2i2i2i111111110022i−2i−2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000
χ402222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-2-20000-2-2-122-1-11111-1-1-1-1-11111-2-222−2i−2i2i2i2i2i−2i−2i11111111002−2i2i2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000
χ412222-1-2-222-1-1-11111-2211222-1-1222222220000-2-2-1-2-2-1-11111-11111-1-1-1-1-2-22222222222-1-1-1-1111100-2-2-2-2-211-1-1-1-111-1-111-1-111-1-1110000000000000000000000
χ422222-1-2-222-1-1-11111-2211222-1-1222222220000-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222-2-2-2-2-2-2-2-2-1-1-1-1111100-2222211-1-111-1-111-1-111-1-111-1-10000000000000000000000
χ432222-1-2-222-1-1-11111-2211222-1-12222-2-2-2-20000-2-2-1-2-2-1-11111-11111-1-1-1-122-2-22i2i2i2i−2i−2i−2i−2i1111-1-1-1-1002−2i−2i2i2i-1-111−i−iii−i−iiiii−i−iii−i−i0000000000000000000000
χ442222-1-2-222-1-1-11111-2211222-1-12222-2-2-2-20000-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2−2i−2i−2i−2i2i2i2i2i1111-1-1-1-10022i2i−2i−2i-1-111ii−i−iii−i−i−i−iii−i−iii0000000000000000000000
χ452222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-22222000022-1-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-222-2-2-1-1-1-11111002-22-22-1-111-1-11111-1-1-1-11111-1-10000000000000000000000
χ462222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-22222000022-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-222-2-222-1-1-1-111110022-22-2-1-11111-1-1-1-11111-1-1-1-1110000000000000000000000
χ472222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-2-2-2-2-2000022-1-2-2-1-1-1-1-1-1-11111111122222i2i−2i−2i−2i−2i2i2i1111-1-1-1-100-2−2i2i2i−2i11-1-1−i−iiiii−i−iii−i−i−i−iii0000000000000000000000
χ482222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-2-2-2-2-2000022-1-2-2-1-1-1-1-1-1-1111111112222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-100-22i−2i−2i2i11-1-1ii−i−i−i−iii−i−iiiii−i−i0000000000000000000000
χ4922-2-22002i−2i2-2-2000002002-2-22i−2i2i2i−2i−2i22-2-20000002002-20000-200002i2i−2i−2i002i−2i2-22i−2i2-22i−2i22-2-200000000000002i−2i2-2002i−2i002-2002i−2i000000000000000000000000
χ5022-2-22002i−2i2-2-2000002002-2-22i−2i2i2i−2i−2i22-2-20000002002-20000-200002i2i−2i−2i002i−2i-22−2i2i-22−2i2i22-2-200000000000002i−2i-2200−2i2i00-2200−2i2i000000000000000000000000
χ5122-2-22002i−2i2-2-2000002002-2-22i−2i2i2i−2i−2i-2-2220000002002-20000-200002i2i−2i−2i00−2i2i2i−2i-22−2i2i2-2-2-2220000000000000−2i2i2i−2i00-2200−2i2i002-2000000000000000000000000
χ5222-2-22002i−2i2-2-2000002002-2-22i−2i2i2i−2i−2i-2-2220000002002-20000-200002i2i−2i−2i00−2i2i−2i2i2-22i−2i-22-2-2220000000000000−2i2i−2i2i002-2002i−2i00-22000000000000000000000000
χ5322-2-2200−2i2i2-2-2000002002-2-2−2i2i−2i−2i2i2i22-2-20000002002-20000-20000−2i−2i2i2i00−2i2i2-2−2i2i2-2−2i2i22-2-20000000000000−2i2i2-200−2i2i002-200−2i2i000000000000000000000000
χ5422-2-2200−2i2i2-2-2000002002-2-2−2i2i−2i−2i2i2i22-2-20000002002-20000-20000−2i−2i2i2i00−2i2i-222i−2i-222i−2i22-2-20000000000000−2i2i-22002i−2i00-22002i−2i000000000000000000000000
χ5522-2-2200−2i2i2-2-2000002002-2-2−2i2i−2i−2i2i2i-2-2220000002002-20000-20000−2i−2i2i2i002i−2i2i−2i2-2−2i2i-22-2-22200000000000002i−2i2i−2i002-200−2i2i00-22000000000000000000000000
χ5622-2-2200−2i2i2-2-2000002002-2-2−2i2i−2i−2i2i2i-2-2220000002002-20000-20000−2i−2i2i2i002i−2i−2i2i-222i−2i2-2-2-22200000000000002i−2i−2i2i00-22002i−2i002-2000000000000000000000000
χ5722-2-2-1002i−2i-11133−3−302−i3i32-2-2−ii2i2i−2i−2i22-2-2000000-100-11−i3−i3i3i3133−3−3−i−iii002i−2i2-22i−2i2-22i−2i-1-11133−3−30000000−i3i3−ii-113−3−ii−i3i3-113−3−ii−i3i30000000000000000000000
χ5822-2-2-1002i−2i-11133−3−302−i3i32-2-2−ii2i2i−2i−2i22-2-2000000-100-11−i3−i3i3i3133−3−3−i−iii002i−2i-22−2i2i-22−2i2i-1-11133−3−30000000−i3i3−ii1-1−33i−ii3−i31-1−33i−ii3−i30000000000000000000000
χ5922-2-2-1002i−2i-11133−3−302−i3i32-2-2−ii2i2i−2i−2i-2-222000000-100-11−i3−i3i3i3133−3−3−i−iii00−2i2i2i−2i-22−2i2i2-211-1-1−3−3330000000i3−i3i−i−iii3−i31-13−3i−i−i3i3-11−330000000000000000000000
χ6022-2-2-1002i−2i-11133−3−302−i3i32-2-2−ii2i2i−2i−2i-2-222000000-100-11−i3−i3i3i3133−3−3−i−iii00−2i2i−2i2i2-22i−2i-2211-1-1−3−3330000000i3−i3i−ii−i−i3i3-11−33−iii3−i31-13−30000000000000000000000
χ6122-2-2-1002i−2i-111−3−33302i3−i32-2-2−ii2i2i−2i−2i22-2-2000000-100-11i3i3−i3−i31−3−333−i−iii002i−2i2-22i−2i2-22i−2i-1-111−3−3330000000i3−i3−ii-11−33−iii3−i3-11−33−iii3−i30000000000000000000000
χ6222-2-2-1002i−2i-111−3−33302i3−i32-2-2−ii2i2i−2i−2i22-2-2000000-100-11i3i3−i3−i31−3−333−i−iii002i−2i-22−2i2i-22−2i2i-1-111−3−3330000000i3−i3−ii1-13−3i−i−i3i31-13−3i−i−i3i30000000000000000000000
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χ1258-8-88-4000044-44i3−4i3−4i34i30-20022-200−252525−250000000000100-1-1−i15i15i15−i151−i3i3i3−i35−5−55000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4000044-44i3−4i3−4i34i30-20022-20025−25−25250000000000100-1-1i15−i15−i15i151−i3i3i3−i3−555−5000000000000000000000000000000000000000000000000000000000000000000000

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