Finite Group Databasebeta

← Group #11791187

Character table — Group #11791187

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222444422334444444444666666121212121212121236666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888888888888224466668888121212122424242424242424
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111
χ61111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii
χ111111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii
χ121111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-111−iii−i11-1-1−i−iiiii−i−i
χ131111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ141111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii
χ151111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii
χ161111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i
χ1722222222222-1222222222222-1-12-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000020200-1-1002200-1-10000-1-1-1-1
χ1822222222222-1222222222222-1-12-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-20-2001100-2-2001100001111
χ1922222222222-12-2-2-2-2-2-2-2-2222-1-12-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000020200-1-100-2-200-1-100001111
χ2022222222222-12-2-2-2-2-2-2-2-2222-1-12-122-1-122-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000-20-20011002200110000-1-1-1-1
χ212222222222-122222222222-1-122-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000002020-1-1002200-1-100-1-1-1-10000
χ222222222222-122222222222-1-122-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-20-201100-2-200110011110000
χ232222222222-122-2-2-2-2-2-2-2-22-1-122-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000002020-1-100-2-200-1-10011110000
χ242222222222-122-2-2-2-2-2-2-2-22-1-122-12-1-122-1-122-1-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000-20-20110022001100-1-1-1-10000
χ2522222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ2622222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ272222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ282222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ292222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i222-1-12-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000000000020-200-1-1002i−2i00110000−i−iii
χ302222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i222-1-12-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00000000000000000-202001100−2i2i00-1-10000ii−i−i
χ312222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i222-1-12-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000020-200-1-100−2i2i00110000ii−i−i
χ322222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i222-1-12-1-2-211-2-211-1-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00000000000000000-2020011002i−2i00-1-10000−i−iii
χ332222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i2-1-122-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii000000000000000020-20-1-1002i−2i001100−i−iii0000
χ342222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i2-1-122-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000000000000000-20201100−2i2i00-1-100ii−i−i0000
χ352222-2-2-2-2-2-2-122−2i−2i−2i−2i2i2i2i2i2-1-122-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000020-20-1-100−2i2i001100ii−i−i0000
χ362222-2-2-2-2-2-2-122−2i−2i−2i−2i2i2i2i2i2-1-122-1211-2-211-2-2-11-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000000000000000-202011002i−2i00-1-100−i−iii0000
χ3722-2-22i−2i2i−2i002201+i1+i−1−i−1−i1−i1−i−1+i−1+i02-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-20000-200000000002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1322−2−2−i2−i2i2i2000000000000000000000000
χ3822-2-22i−2i2i−2i002201+i1+i−1−i−1−i1−i1−i−1+i−1+i02-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-20000-200000000002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13−2−222i2i2−i2−i2000000000000000000000000
χ3922-2-22i−2i2i−2i00220−1−i−1−i1+i1+i−1+i−1+i1−i1−i02-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-20000-200000000002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13−2−222i2i2−i2−i2000000000000000000000000
χ4022-2-22i−2i2i−2i00220−1−i−1−i1+i1+i−1+i−1+i1−i1−i02-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-20000-200000000002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1322−2−2−i2−i2i2i2000000000000000000000000
χ4122-2-2−2i2i−2i2i002201−i1−i−1+i−1+i1+i1+i−1−i−1−i02-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-20000-20000000000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2322−2−2i2i2−i2−i2000000000000000000000000
χ4222-2-2−2i2i−2i2i002201−i1−i−1+i−1+i1+i1+i−1−i−1−i02-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-20000-20000000000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23−2−222−i2−i2i2i2000000000000000000000000
χ4322-2-2−2i2i−2i2i00220−1+i−1+i1−i1−i−1−i−1−i1+i1+i02-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-20000-20000000000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23−2−222−i2−i2i2i2000000000000000000000000
χ4422-2-2−2i2i−2i2i00220−1+i−1+i1−i1−i−1−i−1−i1+i1+i02-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-20000-20000000000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2322−2−2i2i2−i2−i2000000000000000000000000
χ452-22-22i−2i−2i2i002201+i−1−i1+i−1−i1−i−1+i1−i−1+i0-22-22-2-2−2i2i−2i2i2i−2i2i−2i200-220000-200000000002i−2i2i−2i1+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−2i−2i2i002201+i−1−i1+i−1−i1−i−1+i1−i−1+i0-22-22-2-2−2i2i−2i2i2i−2i2i−2i200-220000-200000000002i−2i2i−2i1+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
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.