Finite Group Databasebeta

← Group #14415029

Character table — Group #14415029

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order12222236662456666101010121244448888888844441010153030304488881212121224242424242424244410203030303060602466888812121212242424242424242424242424202020202222888888882020448888
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
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−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-1-111111111-1-1-1-1ii−i−i-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ71111111111111111111111-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−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-1-111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ91111111111-1-1111-1-1111-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-1111-1-1111-1-1111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ131111111111-1-1111-1-1111-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111−i−iii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ141111111111-1-1111-1-1111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-11111−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ151111111111-1-1111-1-1111-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111ii−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ161111111111-1-1111-1-1111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-11111ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ171111-1-111111-11-1-111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111-11-1-1-111-1-1-11-1-11-11-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111-1-111111-11-1-111111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1111111111111-111-1-1-111-1-1-11-1-11-11-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ191111-1-111111-11-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-11-1-1-11-11-1-11111-1-11111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ201111-1-111111-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11-1-1-11-11-1-11111-1-11111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ211111-1-111111-11-1-111111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i1-11-1-1-111-1-11-111i−i−ii11-1-1−i−iii−i−iii−i−iii11-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ221111-1-111111-11-1-111111-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i-111-1-1-111-1-11-111i−i−ii11-1-1−i−iii−i−iii−i−iii-1-11111-1-1−i−iiiii−i−i-111-1−iii−i
χ231111-1-111111-11-1-111111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii1-11-1-1-111-1-11-111−iii−i11-1-1ii−i−iii−i−iii−i−i11-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ241111-1-111111-11-1-111111-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii-111-1-1-111-1-11-111−iii−i11-1-1ii−i−iii−i−iii−i−i-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii
χ251111-1-11111-111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-11-11-1-1-1-1111-111-11-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ261111-1-11111-111-1-1-1-111111111111111111-1-111-1-11111-1-1-1-1-1-11111111111111-1-11-1-1-1-1111-111-11-11-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ271111-1-11111-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1111-11-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ281111-1-11111-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111-1111-11-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ291111-1-11111-111-1-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-1-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i-11-11-1-1-1-111-11-1-1−iii−i1111−i−i−i−iiiiiii−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ301111-1-11111-111-1-1-1-111111-1-1-1-1iiii−i−i−i−i-1-111-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i1-1-11-1-1-1-111-11-1-1−iii−i1111−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ311111-1-11111-111-1-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-1-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii-11-11-1-1-1-111-11-1-1i−i−ii1111iiii−i−i−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ321111-1-11111-111-1-1-1-111111-1-1-1-1−i−i−i−iiiii-1-111-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii1-1-11-1-1-1-111-11-1-1i−i−ii1111iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ33222222-1-1-1-1222-1-1-1-1222-1-1222222222222000022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222-1-1-1-1222-1-1-1-1222-1-12222-2-2-2-2-2-2-2-2000022-1-1-1-122-2-2-2-2-1-1-1-1111111110022-1-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1111111111111000000000000000000000000
χ35222222-1-1-1-1222-1-1-1-1222-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i000022-1-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii0022-1-1-1-1-1-1-2-2112i2i−2i−2i1111−i−i−i−i−i−iiiiiii000000000000000000000000
χ36222222-1-1-1-1222-1-1-1-1222-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i000022-1-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i0022-1-1-1-1-1-1-2-211−2i−2i2i2i1111iiiiii−i−i−i−i−i−i000000000000000000000000
χ37222222-1-1-1-1-2-22-1-11122211222222222222000022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-11111-2-211-2-2-2-2-1-111-1-11111-1-11111000000000000000000000000
χ38222222-1-1-1-1-2-22-1-111222112222-2-2-2-2-2-2-2-2000022-1-1-1-122-2-2-2-2-1-1-1-11111111100-2-2-1-11111-2-2112222-1-11111-1-1-1-111-1-1-1-1000000000000000000000000
χ39222222-1-1-1-1-2-22-1-11122211-2-2-2-22i2i2i2i−2i−2i−2i−2i000022-1-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii00-2-2-1-1111122-1-1−2i−2i2i2i11-1-1−i−iiiiiii−i−i−i−i000000000000000000000000
χ40222222-1-1-1-1-2-22-1-11122211-2-2-2-2−2i−2i−2i−2i2i2i2i2i000022-1-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i00-2-2-1-1111122-1-12i2i−2i−2i11-1-1ii−i−i−i−i−i−iiiii000000000000000000000000
χ412222-2-2-1-1-1-12-2211-1-1222112222222222220000-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-211-1-111-22112-22-211-1-111-1-11111-1-111000000000000000000000000
χ422222-2-2-1-1-1-12-2211-1-1222112222-2-2-2-2-2-2-2-20000-2-2-1-1-1-1-2-22222-1-1-1-111111111002-211-1-111-2211-22-2211-1-1-1-111-1-1-1-111-1-1000000000000000000000000
χ432222-2-2-1-1-1-12-2211-1-122211-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2-1-1-1-122−2i−2i2i2i1111−i−i−i−iiiii002-211-1-1112-2-1-12i−2i−2i2i-1-111ii−i−iii−i−iii−i−i000000000000000000000000
χ442222-2-2-1-1-1-12-2211-1-122211-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-2-1-1-1-1222i2i−2i−2i1111iiii−i−i−i−i002-211-1-1112-2-1-1−2i2i2i−2i-1-111−i−iii−i−iii−i−iii000000000000000000000000
χ452222-2-2-1-1-1-1-2221111222-1-12222222222220000-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100-221111-1-12-2-1-1-22-2211111111-1-11111-1-1000000000000000000000000
χ462222-2-2-1-1-1-1-2221111222-1-12222-2-2-2-2-2-2-2-20000-2-2-1-1-1-1-2-22222-1-1-1-11111111100-221111-1-12-2-1-12-22-21111-1-1-1-111-1-1-1-111000000000000000000000000
χ472222-2-2-1-1-1-1-2221111222-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2-1-1-1-122−2i−2i2i2i1111−i−i−i−iiiii00-221111-1-1-2211−2i2i2i−2i-1-1-1-1iiii−i−i−i−i−i−iii000000000000000000000000
χ482222-2-2-1-1-1-1-2221111222-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-2-1-1-1-1222i2i−2i−2i1111iiii−i−i−i−i00-221111-1-1-22112i−2i−2i2i-1-1-1-1−i−i−i−iiiiiii−i−i000000000000000000000000
χ4922-2-20022-2-200200002-2-2002i−2i2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13002i−2i0022-2-20000002i−2i2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000002i−2i002-200−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000
χ5022-2-20022-2-200200002-2-2002i−2i2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300−2i2i0022-2-20000002i−2i2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000000000000000−2i2i00-22002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000
χ5122-2-20022-2-200200002-2-2002i−2i2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13002i−2i0022-2-20000002i−2i2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000002i−2i002-2002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000
χ5222-2-20022-2-200200002-2-2002i−2i2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300−2i2i0022-2-20000002i−2i2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000000000000000−2i2i00-2200−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000
χ5322-2-20022-2-200200002-2-200−2i2i−2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23002i−2i0022-2-2000000−2i2i−2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000000000002i−2i00-2200−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000
χ5422-2-20022-2-200200002-2-200−2i2i−2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300−2i2i0022-2-2000000−2i2i−2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000000000000000−2i2i002-2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000
χ5522-2-20022-2-200200002-2-200−2i2i−2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23002i−2i0022-2-2000000−2i2i−2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000000000002i−2i00-22002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000
χ5622-2-20022-2-200200002-2-200−2i2i−2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300−2i2i0022-2-2000000−2i2i−2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000000000000000−2i2i002-200−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000
χ572-22-2002-22-20020000-22-2002i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232i−2i00002-22-20000002i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000002i−2i002-2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.