Finite Group Databasebeta

← Group #11791189

Character table — Group #11791189

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222444422334466666688888888121212121212121236666666666612121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444444488888888224466668888121212122424242424242424
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111−ii−ii-1-1-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-111−iii−i11-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii
χ1722222222222-12222-1-12-12222222222-1-1-1-122-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-10000-1-1-1-100000000
χ1822222222222-12222-1-12-12222222222-1-1-1-122-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211110000111100000000
χ1922222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-1-1-122-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000002-22-2-1-1110000-1-11100000000
χ2022222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-1-1-122-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000-22-2211-1-1000011-1-100000000
χ212222222222-1222-1-122-1222222222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-1
χ222222222222-1222-1-122-1222222222-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2000011111111
χ232222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000000000022-2-20000-1-1-1-11111
χ242222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000-2-22200001111-1-1-1-1
χ2522222222-2-222-2-222222200000000222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-222-2-2000000000000000000000000
χ2622222222-2-222-2-222222200000000222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-222-2-222000000000000000000000000
χ272222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ282222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ292222-2-2-2-2-2-22-12222-1-12-12222-2-2-2-2-2-21111-2-2-1-2-211-1-11111-12-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000022-2-2-1-1-1-10000111100000000
χ302222-2-2-2-2-2-22-12222-1-12-12222-2-2-2-2-2-21111-2-2-1-2-211-1-11111-12-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000-2-22211110000-1-1-1-100000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-2-2-22222-2-21111-2-2-1-2-211-1-11111-12-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002-2-22-1-111000011-1-100000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-2-2-22222-2-21111-2-2-1-2-211-1-11111-12-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-222-211-1-10000-1-11100000000
χ332222-2-2-2-2-2-2-1222-1-122-122222-2-2-2-211-2-2-2-211-111-2-2-1-11111-1-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000000000002i−2i2i−2i0000−i−iii−i−iii
χ342222-2-2-2-2-2-2-1222-1-122-122222-2-2-2-211-2-2-2-211-111-2-2-1-11111-1-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i
χ352222-2-2-2-2-2-2-1222-1-122-12-2-2-2-2222211-2-2-2-211-111-2-2-1-11111-1-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i
χ362222-2-2-2-2-2-2-1222-1-122-12-2-2-2-2222211-2-2-2-211-111-2-2-1-11111-1-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii
χ3722-2-22i−2i2i−2i0022002-22-2-2-222−2−2−i2−i2i2i22i−2i2i2i−2i−2i2i−2i200002-20000-200002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ3822-2-22i−2i2i−2i0022002-22-2-2-222−2−2−i2−i2i2i22i−2i2i2i−2i−2i2i−2i200002-20000-200002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ3922-2-22i−2i2i−2i0022002-22-2-2-2−2−222i2i2−i2−i22i−2i2i2i−2i−2i2i−2i200002-20000-200002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ4022-2-22i−2i2i−2i0022002-22-2-2-2−2−222i2i2−i2−i22i−2i2i2i−2i−2i2i−2i200002-20000-200002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ4122-2-2−2i2i−2i2i0022002-22-2-2-222−2−2i2i2−i2−i2−2i2i−2i−2i2i2i−2i2i200002-20000-20000−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ4222-2-2−2i2i−2i2i0022002-22-2-2-222−2−2i2i2−i2−i2−2i2i−2i−2i2i2i−2i2i200002-20000-20000−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ4322-2-2−2i2i−2i2i0022002-22-2-2-2−2−222−i2−i2i2i2−2i2i−2i−2i2i2i−2i2i200002-20000-20000−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ4422-2-2−2i2i−2i2i0022002-22-2-2-2−2−222−i2−i2i2i2−2i2i−2i−2i2i2i−2i2i200002-20000-20000−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ452-22-22i−2i−2i2i002200-22-22-2-22−22−2−i2i2−i2i2−2i2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i00002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000
χ462-22-22i−2i−2i2i002200-22-22-2-22−22−2−i2i2−i2i2−2i2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i00002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000
χ472-22-22i−2i−2i2i002200-22-22-2-2−22−22i2−i2i2−i2−2i2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i0000−22−22−22−22−2−222−2−222i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000
χ482-22-22i−2i−2i2i002200-22-22-2-2−22−22i2−i2i2−i2−2i2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i0000−22−22−22−22−2−222−2−222i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000
χ492-22-2−2i2i2i−2i002200-22-22-2-22−22−2i2−i2i2−i22i−2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i00002−22−22−22−222−2−222−2−2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ502-22-2−2i2i2i−2i002200-22-22-2-22−22−2i2−i2i2−i22i−2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i00002−22−22−22−222−2−222−2−2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ512-22-2−2i2i2i−2i002200-22-22-2-2−22−22−i2i2−i2i22i−2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i0000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ522-22-2−2i2i2i−2i002200-22-22-2-2−22−22−i2i2−i2i22i−2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i0000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
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χ1214-4-4444-4-44-4-2-2-442222-2-24-4-444-4-4422-222-2-2-21-22-22-1-111-1-1122-1-11-1-11-2-211-222-2-222-211-1-1-1-111-222-2-222-211-1-1-1-1110000000000000000000000000000000000000000
χ1224-4-4444-4-44-4-2-2-442222-2-2-444-4-444-422-222-2-2-21-22-22-1-111-1-1122-1-11-1-11-2-2112-2-222-2-22-1-11111-1-12-2-222-2-22-1-11111-1-10000000000000000000000000000000000000000
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χ1324-4-44-4-444-44-2-2-442222-2-2-444-44-4-44-2-22-2-222212-22-2-1-1-1-111122-1-1-111-1-2-2112-2-222-2-22-1-11111-1-1-222-2-222-211-1-1-1-1110000000000000000000000000000000000000000

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