Finite Group Databasebeta

← Group #14418546

Character table — Group #14418546

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order12223446664451010101212121212124444888888884444152020303030448888121212122424242424242424442020606060606060448888121212121212242424242424242424242424202020202244888888882020448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i
χ61111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-111111111-1-1ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii-1-111−i−iii
χ71111111111111111111111-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii
χ81111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-111111111-1-1−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11111ii−i−iii−i−i-1-111ii−i−i
χ91111111111-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-1111111-1-1-1-1111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ131111111111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-111−i−iii-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii
χ141111111111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111−i−iii-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii11-1-1ii−i−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-111ii−i−i-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii
χ1711111-1-11111-11111-1-111-1-111111111111111-1-11-1-1111-1-1-1-1-1-11111111111111-11-1-1-111-1-11-11-11-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-11-11-11-1
χ1811111-1-11111-11111-1-111-1-1111111111111-1-1111-1-1111-1-1-1-1-1-1111111111111-111-1-1-111-1-11-11-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-11-11-11-11
χ1911111-1-11111-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11-1-11-11-1-111-1-111-1-11111-1-11111-1-111-1-1-1-1-1-111111-11-1-11-11
χ2011111-1-11111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11-1-11-11-1-111-1-111-1-11111-1-111-1-111-1-1111111-1-1-1-1-11-111-11-1
χ2111111-1-11111-11111-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-11-1-111111−i−iii-1-1-1-1iiii−i−i−i−i1-11-1-1-111-1-1-11i−i−ii11-1-111−i−iii−i−iii−i−iii11-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ2211111-1-11111-11111-1-111-1-1-1-1-1-1iiii−i−i−i−i-1-1111-1-111111−i−iii-1-1-1-1iiii−i−i−i−i-111-1-1-111-1-1-11i−i−ii11-1-111−i−iii−i−iii−i−iii-1-11111-1-1−i−iiiii−i−i-111-1−iii−i
χ2311111-1-11111-11111-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-11-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii1-11-1-1-111-1-1-11−iii−i11-1-111ii−i−iii−i−iii−i−i11-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ2411111-1-11111-11111-1-111-1-1-1-1-1-1−i−i−i−iiiii-1-1111-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii-111-1-1-111-1-1-11−iii−i11-1-111ii−i−iii−i−iii−i−i-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii
χ2511111-1-1111-111111-1-1-1-11111111111111111-1-11-1-1111-1-1-1-1-1-1111111111111-11-11-1-1-1-111-11-11-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-11
χ2611111-1-1111-111111-1-1-1-111111111111111-1-1111-1-1111-1-1-1-1-1-11111111111111-1-11-1-1-1-111-11-11-11-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111-11-11-11-1
χ2711111-1-1111-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-111-11-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-11111-11-111-11-1
χ2811111-1-1111-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-111-11-1-1-1-1-1111111-1-11111-1-1-1-111-1-1111111-1-1-1-11-11-1-11-11
χ2911111-1-1111-111111-1-1-1-111-1-1-1-1iiii−i−i−i−i11-1-11-1-111111−i−iii-1-1-1-1iiii−i−i−i−i-11-11-1-1-1-1111-1−iii−i1111-1-1−i−i−i−iiiiiii−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ3011111-1-1111-111111-1-1-1-111-1-1-1-1iiii−i−i−i−i-1-1111-1-111111−i−iii-1-1-1-1iiii−i−i−i−i1-1-11-1-1-1-1111-1−iii−i1111-1-1−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ3111111-1-1111-111111-1-1-1-111-1-1-1-1−i−i−i−iiiii11-1-11-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii-11-11-1-1-1-1111-1i−i−ii1111-1-1iiii−i−i−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ3211111-1-1111-111111-1-1-1-111-1-1-1-1−i−i−i−iiiii-1-1111-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii1-1-11-1-1-1-1111-1i−i−ii1111-1-1iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ332222-122-1-1-1222222-1-1-1-1-1-12222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222-122-1-1-1222222-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000000000
χ352222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-122-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii0022-1-1-1-1-1-1-2-22i2i−2i−2i111111−i−i−i−i−i−iiiiiii000000000000000000000000
χ362222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-122-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i0022-1-1-1-1-1-1-2-2−2i−2i2i2i111111iiiiii−i−i−i−i−i−i000000000000000000000000
χ372222-122-1-1-1-2-22222-1-111112222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-11111-2-2-2-2-2-2-1-11111-1-11111-1-11111000000000000000000000000
χ382222-122-1-1-1-2-22222-1-111112222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-11111111100-2-2-1-11111-2-22222-1-1111111-1-1-1-111-1-1-1-1000000000000000000000000
χ392222-122-1-1-1-2-22222-1-11111-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-122-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii00-2-2-1-1111122−2i−2i2i2i11-1-1-1-1−i−iiiiiii−i−i−i−i000000000000000000000000
χ402222-122-1-1-1-2-22222-1-11111-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-122-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i00-2-2-1-11111222i2i−2i−2i11-1-1-1-1ii−i−i−i−i−i−iiiii000000000000000000000000
χ412222-1-2-2-1-1-12-2222211-1-1112222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-211-1-1112-22-22-211-1-11111-1-11111-1-111000000000000000000000000
χ422222-1-2-2-1-1-12-2222211-1-1112222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-111111111002-211-1-1112-2-22-2211-1-111-1-111-1-1-1-111-1-1000000000000000000000000
χ432222-1-2-2-1-1-12-2222211-1-111-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii002-211-1-111-222i−2i−2i2i-1-111-1-1ii−i−iii−i−iii−i−i000000000000000000000000
χ442222-1-2-2-1-1-12-2222211-1-111-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i002-211-1-111-22−2i2i2i−2i-1-111-1-1−i−iii−i−iii−i−iii000000000000000000000000
χ452222-1-2-2-1-1-1-2222221111-1-12222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100-221111-1-1-22-22-221111-1-11111-1-11111-1-1000000000000000000000000
χ462222-1-2-2-1-1-1-2222221111-1-12222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-11111111100-221111-1-1-222-22-21111-1-1-1-1-1-111-1-1-1-111000000000000000000000000
χ472222-1-2-2-1-1-1-2222221111-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii00-221111-1-12-2−2i2i2i−2i-1-1-1-111iiii−i−i−i−i−i−iii000000000000000000000000
χ482222-1-2-2-1-1-1-2222221111-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i00-221111-1-12-22i−2i−2i2i-1-1-1-111−i−i−i−iiiiiii−i−i000000000000000000000000
χ4922-2-2200-22-20022-2-200000022-2-222-2-222-2-22-2002002-2-200000022-2-222-2-222-2-200000000000000000000000000000000002-2002-2002-22-2000000000000
χ5022-2-2200-22-20022-2-200000022-2-222-2-222-2-2-22002002-2-200000022-2-222-2-222-2-20000000000000000000000000000000000-2200-2200-22-22000000000000
χ5122-2-2200-22-20022-2-200000022-2-2-2-222-2-2222-2002002-2-200000022-2-2-2-222-2-22200000000000000000000000000000000002-2002-200-22-22000000000000
χ5222-2-2200-22-20022-2-200000022-2-2-2-222-2-222-22002002-2-200000022-2-2-2-222-2-2220000000000000000000000000000000000-2200-22002-22-2000000000000
χ5322-2-2200-22-20022-2-2000000-2-2222i2i−2i−2i−2i−2i2i2i2-2002002-2-2000000-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000002-200-22002i−2i−2i2i000000000000
χ5422-2-2200-22-20022-2-2000000-2-2222i2i−2i−2i−2i−2i2i2i-22002002-2-2000000-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000-22002-200−2i2i2i−2i000000000000
χ5522-2-2200-22-20022-2-2000000-2-222−2i−2i2i2i2i2i−2i−2i2-2002002-2-2000000-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000002-200-2200−2i2i2i−2i000000000000
χ5622-2-2200-22-20022-2-2000000-2-222−2i−2i2i2i2i2i−2i−2i-22002002-2-2000000-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000-22002-2002i−2i−2i2i000000000000
χ572-22-222-22-2-2002-2-222-200002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000022-2-2-222i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300002-200000000002i−2i00002ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000
χ582-22-222-22-2-2002-2-222-200002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000022-2-2-222i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300002-200000000002i−2i0000−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000
χ592-22-222-22-2-2002-2-222-20000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000022-2-2-22−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300002-20000000000−2i2i0000−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000
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χ1024-4-44-20022-2004-44-40000004i−4i−4i4i−4ζ7−4ζ234ζ7+4ζ234ζ7+4ζ23−4ζ7−4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ5−4ζ134ζ5+4ζ130000-2002-22000000−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000000000000000000000000000
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χ1044-4-44-20022-2004-44-4000000−4i4i4i−4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ5−4ζ134ζ5+4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ7+4ζ23−4ζ7−4ζ230000-2002-220000002i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000000000000000000000000000
χ1058888-488-4-4-488-2-2-2-2-4-4-4-4-4-400000000000000001-2-211100000000000000000000-2-2111111000000000000000000000000000000000000000000000000
χ1068888-488-4-4-4-8-8-2-2-2-2-4-4444400000000000000001-2-2111000000000000000000002211-1-1-1-1000000000000000000000000000000000000000000000000
χ1078888-4-8-8-4-4-48-8-2-2-2-244-4-444000000000000000012211100000000000000000000-22-1-111-1-1000000000000000000000000000000000000000000000000
χ1088888-4-8-8-4-4-4-88-2-2-2-24444-4-40000000000000000122111000000000000000000002-2-1-1-1-111000000000000000000000000000000000000000000000000
χ10988-8-8800-88-800-2-2220000000000000000008-800-200-2220000000000000000000000000000000000000000000000000000-220000000000000000000000
χ11088-8-8800-88-800-2-222000000000000000000-8800-200-22200000000000000000000000000000000000000000000000000002-20000000000000000000000
χ1118-88-888-88-8-800-222-28-800000000000000000000-2-2222-20000000000000000000000-220000000000000000000000000000000000000000000000000000
χ1128-88-88-888-8-800-222-2-8800000000000000000000-22-222-200000000000000000000002-20000000000000000000000000000000000000000000000000000
χ1138-88-8-48-8-44400-222-2-44−4i34i3−4i34i300000000000000001-22-1-1100000000000000000000001-1i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1148-88-8-48-8-44400-222-2-444i3−4i34i3−4i300000000000000001-22-1-1100000000000000000000001-1−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1158-88-8-4-88-44400-222-24-4−4i34i34i3−4i3000000000000000012-2-1-110000000000000000000000-11i3−i3−i3i3000000000000000000000000000000000000000000000000
χ1168-88-8-4-88-44400-222-24-44i3−4i3−4i34i3000000000000000012-2-1-110000000000000000000000-11−i3i3i3−i3000000000000000000000000000000000000000000000000
χ1178-8-88800-8-8800-22-22000000000000000000008-8-2002-22000000000000000000000000000000000000000000000000000000-2200000000000000000000
χ1188-8-88800-8-8800-22-2200000000000000000000-88-2002-220000000000000000000000000000000000000000000000000000002-200000000000000000000
χ1191616-16-16-8008-8800-4-44400000000000000000000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-16-1616-80088-800-44-440000000000000000000000200-22-20000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.