Finite Group Databasebeta

← Group #11789948

Character table — Group #11789948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12224444223344666666121212121212121236666666121212121212121244444444888888886688121224242424242424242424242424242424121212121212121224242424242424248888888824668812122424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-111−ii-1-1−i−iii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-1-1i−i11ii−i−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-1-1−ii11−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-111i−i-1-1ii−i−i-11
χ1722222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-122222222200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-100-1-1000000
χ1822222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-122222222200000000-1-1-2-2-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-10000000000000000-2-2110011000000
χ1922222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2110011000000
χ2022222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-2-2-1-1-2-211-2-2111111111111111111000000000000000022-1-100-1-1000000
χ212222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-10000000022222222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-100
χ222222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-10000000022222222-1-1-2-2-1-111-2-211-2-21111111100000000-1-1-1-1-1-1-1-1000000000000-2-200111100
χ232222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000011111111000000000000-2-200111100
χ242222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-2-1-111-2-211-2-21111111100000000111111110000000000002200-1-1-1-100
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-20000000000000000-2-200-2-20000000000000000000000000000000022-2-222-2-200000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-20000000000000000-2-200-2-200000000000000000000000000000000-2-222-2-22200000000000000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002200-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002200-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-1111122i2i2i2i−2i−2i−2i−2i00000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii−i−i−i−iiiii00000000000000002-2-1-10011000000
χ302222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-1111122i2i2i2i−2i−2i−2i−2i0000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i−i−i−i−iiiii0000000000000000-221100-1-1000000
χ312222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-111112−2i−2i−2i−2i2i2i2i2i00000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-221100-1-1000000
χ322222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-111112−2i−2i−2i−2i2i2i2i2i0000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−iiiii−i−i−i−i00000000000000002-2-1-10011000000
χ332222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-1000000002222-2-2-2-2112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000-1-1-1-111110000000000002i−2i00−i−iii00
χ342222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-1000000002222-2-2-2-211−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000-1-1-1-11111000000000000−2i2i00ii−i−i00
χ352222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-100000000-2-2-2-22222112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii000000001111-1-1-1-1000000000000−2i2i00ii−i−i00
χ362222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-100000000-2-2-2-2222211−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i000000001111-1-1-1-10000000000002i−2i00−i−iii00
χ3722-2-222-2-22-222-22-2-2-2-22222-2-2-2-22222-22-2-22-2-22-222-2-222i2i−2i−2i2i2i−2i−2i000000002-2002-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ3822-2-222-2-22-222-22-2-2-2-22222-2-2-2-22222-22-2-22-2-22-222-2-22−2i−2i2i2i−2i−2i2i2i000000002-2002-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ3922-2-222-2-22-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-2-11-1-11122i2i−2i−2i2i2i−2i−2i00000000-1100-11003−3003−333−3−333−3−3−i−iii−i−iii000000000000000000−i3i300−i3i3000000
χ4022-2-222-2-22-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-2-11-1-11122i2i−2i−2i2i2i−2i−2i00000000-1100-1100−3300−33−3−333−3−333−i−iii−i−iii000000000000000000i3−i300i3−i3000000
χ4122-2-222-2-22-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-2-11-1-1112−2i−2i2i2i−2i−2i2i2i00000000-1100-11003−3003−333−3−333−3−3ii−i−iii−i−i000000000000000000i3−i300i3−i3000000
χ4222-2-222-2-22-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-2-11-1-1112−2i−2i2i2i−2i−2i2i2i00000000-1100-1100−3300−33−3−333−3−333ii−i−iii−i−i000000000000000000−i3i300−i3i3000000
χ4322-2-222-2-2-22222-2-2-2-2-22222-2-2-2-2222-22-2-2-2222-2222-2-2-2000000002i2i−2i−2i2i2i−2i−2i-2200-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ4422-2-222-2-2-22222-2-2-2-2-22222-2-2-2-2222-22-2-2-2222-2222-2-2-200000000−2i−2i2i2i−2i−2i2i2i-2200-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ4522-2-222-2-2-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-1-22-1-1111000000002i2i−2i−2i2i2i−2i−2i1-1001-13−3003−3003−33−33−33−300000000−i−iii−i−iii0000000000000000−i3i3−i3i300
χ4622-2-222-2-2-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-1-22-1-1111000000002i2i−2i−2i2i2i−2i−2i1-1001-1−3300−3300−33−33−33−3300000000−i−iii−i−iii0000000000000000i3−i3i3−i300
χ4722-2-222-2-2-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-1-22-1-111100000000−2i−2i2i2i−2i−2i2i2i1-1001-13−3003−3003−33−33−33−300000000ii−i−iii−i−i0000000000000000i3−i3i3−i300
χ4822-2-222-2-2-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-1-22-1-111100000000−2i−2i2i2i−2i−2i2i2i1-1001-1−3300−3300−33−33−33−3300000000ii−i−iii−i−i0000000000000000−i3i3−i3i300
χ4922-2-2-2-2222-2222-2-2-2-2-222-2-22222-2-222-22-2-22-22-22-2-222-2000000002i2i−2i−2i−2i−2i2i2i2-200-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-2222-2222-2-2-2-2-222-2-22222-2-222-22-2-22-22-22-2-222-200000000−2i−2i2i2i2i2i−2i−2i2-200-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-2222-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-1-2211-1-11000000002i2i−2i−2i−2i−2i2i2i-11001-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i300000000−i−iiiii−i−i0000000000000000−333−300
χ5222-2-2-2-2222-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-1-2211-1-11000000002i2i−2i−2i−2i−2i2i2i-11001-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i300000000−i−iiiii−i−i00000000000000003−3−3300
χ5322-2-2-2-2222-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-1-2211-1-1100000000−2i−2i2i2i2i2i−2i−2i-11001-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i300000000ii−i−i−i−iii00000000000000003−3−3300
χ5422-2-2-2-2222-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-1-2211-1-1100000000−2i−2i2i2i2i2i−2i−2i-11001-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i300000000ii−i−i−i−iii0000000000000000−333−300
χ5522-2-2-2-222-2222-22-2-2-2-222-2-22222-2-22-22-2-2-222-22-2-2-222222-2-2-2-22200000000-22002-2000000000000000022-2-2-2-222000000000000000000000000000000
χ5622-2-2-2-222-2222-22-2-2-2-222-2-22222-2-22-22-2-2-222-22-2-2-2222-2-22222-2-200000000-22002-20000000000000000-2-22222-2-2000000000000000000000000000000
χ5722-2-2-2-222-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-2-1111-1-1222-2-2-2-222000000001-100-1100−i3i300i3−i3−i3−i3i3i3i3i3−i3−i3-1-11111-1-1000000000000000000−i3i300i3−i3000000
χ5822-2-2-2-222-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-2-1111-1-1222-2-2-2-222000000001-100-1100i3−i300−i3i3i3i3−i3−i3−i3−i3i3i3-1-11111-1-1000000000000000000i3−i300−i3i3000000
χ5922-2-2-2-222-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-2-1111-1-12-2-22222-2-2000000001-100-1100−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-1-1-111000000000000000000i3−i300−i3i3000000
χ6022-2-2-2-222-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-2-1111-1-12-2-22222-2-2000000001-100-1100i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-1-1-111000000000000000000−i3i300i3−i3000000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i200000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ622-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i200000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i200−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ632-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i20000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i200−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ642-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i20000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i2002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.