Finite Group Databasebeta

← Group #11791195

Character table — Group #11791195

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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
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
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−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
χ101111-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−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
χ111111-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−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
χ121111-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−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
χ131111-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ141111-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii
χ151111-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii
χ161111-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i
χ1722222222222-12222-1-12-12222222222-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000020200-1-1002200-1-10000-1-1-1-1
χ1822222222222-12222-1-12-12222222222-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-20-2001100-2-2001100001111
χ1922222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111111110000000000000000020200-1-100-2-200-1-100001111
χ2022222222222-12222-1-12-1-2-2-2-2-2-2-2-222-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111111100000000000000000-20-20011002200110000-1-1-1-1
χ212222222222-1222-1-122-1222222222-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002020-1-1002200-1-100-1-1-1-10000
χ222222222222-1222-1-122-1222222222-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-20-201100-2-200110011110000
χ232222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2111111111111111100000000000000002020-1-100-2-200-1-10011110000
χ242222222222-1222-1-122-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-211111111111111110000000000000000-20-20110022001100-1-1-1-10000
χ2522222222-2-222-2-222222222-2-222-2-2222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2622222222-2-222-2-2222222-2-222-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-2-222-2-222-1-122-1-1-1-2-211-1-11111-1-2-2111111-1-1-1-122-2-2-1-11122-2-2-1-111-1-1-1-11111-1-1-1-111110000000000000000000000−i3i3000000−i3i30000−i3i3−i3i3
χ2822222222-2-22-1-2-222-1-12-122-2-222-2-222-1-122-1-1-1-2-211-1-11111-1-2-2111111-1-1-1-122-2-2-1-11122-2-2-1-111-1-1-1-11111-1-1-1-111110000000000000000000000i3−i3000000i3−i30000i3−i3i3−i3
χ2922222222-2-22-1-2-222-1-12-1-2-222-2-22222-1-122-1-1-1-2-211-1-11111-1-2-2111111-1-1-1-1-2-22211-1-1-2-22211-1-11111-1-1-1-11111-1-1-1-10000000000000000000000−i3i3000000−i3i30000i3−i3i3−i3
χ3022222222-2-22-1-2-222-1-12-1-2-222-2-22222-1-122-1-1-1-2-211-1-11111-1-2-2111111-1-1-1-1-2-22211-1-1-2-22211-1-11111-1-1-1-11111-1-1-1-10000000000000000000000i3−i3000000i3−i30000−i3i3−i3i3
χ3122222222-2-2-12-2-2-1-122-1222-2-222-2-2-1-122-1-122-111-2-2-1-11111-111-2-21111-1-1-1-1-1-11122-2-2-1-11122-2-2-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3000000−i3i300−i3i3−i3i30000
χ3222222222-2-2-12-2-2-1-122-1222-2-222-2-2-1-122-1-122-111-2-2-1-11111-111-2-21111-1-1-1-1-1-11122-2-2-1-11122-2-2-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3000000i3−i300i3−i3i3−i30000
χ3322222222-2-2-12-2-2-1-122-12-2-222-2-222-1-122-1-122-111-2-2-1-11111-111-2-21111-1-1-1-111-1-1-2-22211-1-1-2-2221111-1-1-1-11111-1-1-1-100000000000000000000−i3i3000000−i3i300i3−i3i3−i30000
χ3422222222-2-2-12-2-2-1-122-12-2-222-2-222-1-122-1-122-111-2-2-1-11111-111-2-21111-1-1-1-111-1-1-2-22211-1-1-2-2221111-1-1-1-11111-1-1-1-100000000000000000000i3−i3000000i3−i300−i3i3−i3i30000
χ352222-2-2-2-22222-2-22222222i2i−2i−2i−2i−2i2i2i-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ362222-2-2-2-22222-2-2222222−2i−2i2i2i2i2i−2i−2i-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ372222-2-2-2-2222-1-2-222-1-12-12i2i−2i−2i−2i−2i2i2i-2-211-2-211-122-1-1-1-1-1-1-1-1-1-2-211111111112i2i−2i−2i−i−iii−2i−2i2i2iii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000−i3i3000000i3−i300003−3−33
χ382222-2-2-2-2222-1-2-222-1-12-12i2i−2i−2i−2i−2i2i2i-2-211-2-211-122-1-1-1-1-1-1-1-1-1-2-211111111112i2i−2i−2i−i−iii−2i−2i2i2iii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000i3−i3000000−i3i30000−333−3
χ392222-2-2-2-2222-1-2-222-1-12-1−2i−2i2i2i2i2i−2i−2i-2-211-2-211-122-1-1-1-1-1-1-1-1-1-2-21111111111−2i−2i2i2iii−i−i2i2i−2i−2i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000−i3i3000000i3−i30000−333−3
χ402222-2-2-2-2222-1-2-222-1-12-1−2i−2i2i2i2i2i−2i−2i-2-211-2-211-122-1-1-1-1-1-1-1-1-1-2-21111111111−2i−2i2i2iii−i−i2i2i−2i−2i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000i3−i3000000−i3i300003−3−33
χ412222-2-2-2-222-12-2-2-1-122-122i2i−2i−2i−2i−2i2i2i11-2-211-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111−i−iii2i2i−2i−2iii−i−i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000−i3i3000000i3−i3003−3−330000
χ422222-2-2-2-222-12-2-2-1-122-122i2i−2i−2i−2i−2i2i2i11-2-211-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111−i−iii2i2i−2i−2iii−i−i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000i3−i3000000−i3i300−333−30000
χ432222-2-2-2-222-12-2-2-1-122-12−2i−2i2i2i2i2i−2i−2i11-2-211-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111ii−i−i−2i−2i2i2i−i−iii2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000−i3i3000000i3−i300−333−30000
χ442222-2-2-2-222-12-2-2-1-122-12−2i−2i2i2i2i2i−2i−2i11-2-211-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111ii−i−i−2i−2i2i2i−i−iii2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000i3−i3000000−i3i3003−3−330000
χ452222-2-2-2-2-2-22-12222-1-12-12i2i2i2i−2i−2i−2i−2i-2-211-2-211-1-2-211-1-11111-122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000020-200-1-1002i−2i00110000−i−iii
χ462222-2-2-2-2-2-22-12222-1-12-12i2i2i2i−2i−2i−2i−2i-2-211-2-211-1-2-211-1-11111-122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii00000000000000000-202001100−2i2i00-1-10000ii−i−i
χ472222-2-2-2-2-2-22-12222-1-12-1−2i−2i−2i−2i2i2i2i2i-2-211-2-211-1-2-211-1-11111-122-1-1-1-1-1-11111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000020-200-1-100−2i2i00110000ii−i−i
χ482222-2-2-2-2-2-22-12222-1-12-1−2i−2i−2i−2i2i2i2i2i-2-211-2-211-1-2-211-1-11111-122-1-1-1-1-1-11111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000-2020011002i−2i00-1-10000−i−iii
χ492222-2-2-2-2-2-2-1222-1-122-122i2i2i2i−2i−2i−2i−2i11-2-211-2-2-111-2-2-1-11111-1-1-122-1-1-1-11111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000020-20-1-1002i−2i001100−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-122-122i2i2i2i−2i−2i−2i−2i11-2-211-2-2-111-2-2-1-11111-1-1-122-1-1-1-11111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-20201100−2i2i00-1-100ii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-122-12−2i−2i−2i−2i2i2i2i2i11-2-211-2-2-111-2-2-1-11111-1-1-122-1-1-1-11111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000000020-20-1-100−2i2i001100ii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-122-12−2i−2i−2i−2i2i2i2i2i11-2-211-2-2-111-2-2-1-11111-1-1-122-1-1-1-11111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000-202011002i−2i00-1-100−i−iii0000
χ5322-2-22i−2i2i−2i0022002-22-2-2-200−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ232i−2i2i−2i2i−2i2i−2i200002-20000-2000000002i−2i2i−2i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ231−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2−i2−i2i2i2000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.