Finite Group Databasebeta

← Group #11777817

Character table — Group #11777817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444334444666666888888881212121212121212366612121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888888888888824446688881212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111-1-1-1-111-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-111i−ii−i-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-111-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-1-1−ii−ii11-1-111−i−iii−i−iii
χ111111-1-1-1-111-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii
χ121111-1-1-1-111-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i
χ131111-1-1-1-111-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1-1111−iii−i-1-1-1-111−i−iiiii−i−i
χ141111-1-1-1-111-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii
χ151111-1-1-1-111-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-11-11-111−ii−ii-1-111-1-1−i−iii−i−iii
χ161111-1-1-1-111-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i
χ172222222222-2-2-2-222222200000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ182222222222-2-2-2-222222200000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ19222222222-122222-1-122-12222222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-12200-1-10000-1-1-1-10000
χ20222222222-122222-1-122-12222222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-20011-2-20011000011110000
χ21222222222-122222-1-122-1-2-2-2-2-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000002200-1-1-2-200-1-1000011110000
χ22222222222-122222-1-122-1-2-2-2-2-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000-2-200112200110000-1-1-1-10000
χ2322222222-122222-122-1-1222222222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000002200002200-1-1-1-10000-1-1-1-1
χ2422222222-122222-122-1-1222222222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-2-20000-2-200111100001111
χ2522222222-122222-122-1-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000220000-2-200-1-1-1-100001111
χ2622222222-122222-122-1-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000-2-20000220011110000-1-1-1-1
χ272222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ282222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ292222-2-2-2-22-1-2-2222-1-122-12i2i2i2i−2i−2i−2i−2i-2-211-2-211-1-1-1-1-1-122-1-1-1-1111111-2-211112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00000000000000002-200-1-12i−2i00110000−i−iii0000
χ302222-2-2-2-22-1-2-2222-1-122-12i2i2i2i−2i−2i−2i−2i-2-211-2-211-1-1-1-1-1-122-1-1-1-1111111-2-211112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000000000-220011−2i2i00-1-10000ii−i−i0000
χ312222-2-2-2-22-1-2-2222-1-122-1−2i−2i−2i−2i2i2i2i2i-2-211-2-211-1-1-1-1-1-122-1-1-1-1111111-2-21111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00000000000000002-200-1-1−2i2i00110000ii−i−i0000
χ322222-2-2-2-22-1-2-2222-1-122-1−2i−2i−2i−2i2i2i2i2i-2-211-2-211-1-1-1-1-1-122-1-1-1-1111111-2-21111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000-2200112i−2i00-1-10000−i−iii0000
χ332222-2-2-2-2-12-2-222-122-1-122i2i2i2i−2i−2i−2i−2i11-2-211-2-2-1-1-1-122-1-1-1-1-1-11111-2-2111111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000000000000000002-200002i−2i00-1-1110000−i−iii
χ342222-2-2-2-2-12-2-222-122-1-122i2i2i2i−2i−2i−2i−2i11-2-211-2-2-1-1-1-122-1-1-1-1-1-11111-2-2111111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii000000000000000000-220000−2i2i0011-1-10000ii−i−i
χ352222-2-2-2-2-12-2-222-122-1-12−2i−2i−2i−2i2i2i2i2i11-2-211-2-2-1-1-1-122-1-1-1-1-1-11111-2-2111111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000000000000000002-20000−2i2i00-1-1110000ii−i−i
χ362222-2-2-2-2-12-2-222-122-1-12−2i−2i−2i−2i2i2i2i2i11-2-211-2-2-1-1-1-122-1-1-1-1-1-11111-2-2111111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000-2200002i−2i0011-1-10000−i−iii
χ3722-2-222-2-22200002-2-2-2-2222−2−222−2−222-2-2-2-22222-2-20000000022-2-20000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3822-2-222-2-22200002-2-2-2-2222−2−222−2−222-2-2-2-22222-2-20000000022-2-20000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ3922-2-222-2-22200002-2-2-2-22−2−222−2−22222-2-2-2-22222-2-20000000022-2-200000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222002i−2i002i−2ii2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4022-2-222-2-22200002-2-2-2-22−2−222−2−22222-2-2-2-22222-2-20000000022-2-200000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4122-2-2-2-2222200002-2-2-2-22−i2−i2i2i2i2i2−i2−i2-2-22222-2-222-2-200000000-2-22200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2002-200-22−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ4222-2-2-2-2222200002-2-2-2-22−i2−i2i2i2i2i2−i2−i2-2-22222-2-222-2-200000000-2-22200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200-22002-2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4322-2-2-2-2222200002-2-2-2-22i2i2−i2−i2−i2−i2i2i2-2-22222-2-222-2-200000000-2-22200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002-200-22i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4422-2-2-2-2222200002-2-2-2-22i2i2−i2−i2−i2−i2i2i2-2-22222-2-222-2-200000000-2-22200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200-22002-2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ452-22-22i−2i2i−2i220000-22-22-2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i2000000000000000000000000
χ462-22-22i−2i2i−2i220000-22-22-2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i2000000000000000000000000
χ472-22-22i−2i2i−2i220000-22-22-2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i00000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2000000000000000000000000
χ482-22-22i−2i2i−2i220000-22-22-2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i00000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i2000000000000000000000000
χ492-22-2−2i2i−2i2i220000-22-22-2-21−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i−2i2i−2i2i2-22-200000000−2i2i−2i2i000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i2000000000000000000000000
χ502-22-2−2i2i−2i2i220000-22-22-2-21−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i−2i2i−2i2i2-22-200000000−2i2i−2i2i000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i2000000000000000000000000
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χ1324-4-44−4i4i4i−4i-2-2−4i4i4-422-22-22000000002i−2i−2i2i−2i2i2i−2i1-1-11-22-2211-1-1−iii−i2i−2i2i−2i−i−iii00000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ2300000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000

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