Finite Group Databasebeta

← Group #11785850

Character table — Group #11785850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122244442233446666661212121212121212366666661212121212121212224466881212242424242424242424242424242424242444444444666612121212121212121212121288121212122424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1111-1-1ii−i−i11-1-111-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii11-1-111-1-1−i−i−i−iiiiii−i-1-111ii−i−i-1-111−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1111-1-1−i−iii11-1-111-1-1−i−i−i−iiiii−ii11-1-1−i−iii11-1-1−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i11-1-111-1-1iiii−i−i−i−i−ii-1-111−i−iii-1-111ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i-1-111-1-111iiii−i−i−i−i−ii11-1-1−i−iii-1-111−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-1-1-111−i−iii-1-111-1-111−i−i−i−iiiii−ii-1-111−i−iii11-1-1ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii-1-111-1-111−i−i−i−iiiiii−i11-1-1ii−i−i-1-111ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-1-1-111ii−i−i-1-111-1-111iiii−i−i−i−ii−i-1-111ii−i−i11-1-1−i−iii
χ1722222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ1822222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-1-1-2-2-1-1-2-211-2-211111111112200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ1922222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ2022222222222-122-1-1222-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-1-2-2-1-1-2-211-2-21111111111-2-2000000001111111100000000220000-1-1-1-100000000
χ212222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ222222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ232222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000-1-1-2-2-1-111-2-211-2-211111111002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ242222222222-122222-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000-1-1-2-2-1-111-2-211-2-21111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-222222222-2-200-2-20000000000000000-2-20000000022-2-2-2-22200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-2-2-2-2-200-2-200000000000000002200000000-2-22222-2-200000000000000000000000000
χ2722222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1222211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-2-200000000-1-11111-1-100000000000000−i3i3−i3i300000000
χ2822222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1222211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-2-200000000-1-11111-1-100000000000000i3−i3i3−i300000000
χ2922222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3220000000011-1-1-1-11100000000000000i3−i3i3−i300000000
χ3022222222-2-22-1-2-2-1-1222-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3220000000011-1-1-1-11100000000000000−i3i3−i3i300000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22200-2-200000000000000002-2000000002222-2-2-2-200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222200-2-20000000000000000-2200000000-2-2-2-2222200000000000000000000000000
χ332222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-211111122-2-2-1-10011003−300−3333−3−3−3−3332-200000000-1-1-1-11111000000000000003−3−3300000000
χ342222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-211111122-2-2-1-1001100−33003−3−3−33333−3−32-200000000-1-1-1-1111100000000000000−333−300000000
χ352222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-2-222-1-10011003−300−3333−3−3−3−333-22000000001111-1-1-1-100000000000000−333−300000000
χ362222-2-2-2-2222-1-2-2-1-1222-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-2-222-1-1001100−33003−3−3−33333−3−3-22000000001111-1-1-1-1000000000000003−3−3300000000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-1111122-2-2112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-2200000000-1-111-1-111000000002i−2i0000−i−iii00000000
χ382222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-1111122-2-211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-2200000000-1-111-1-11100000000−2i2i0000ii−i−i00000000
χ392222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-11111-2-222112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii2-20000000011-1-111-1-100000000−2i2i0000ii−i−i00000000
χ402222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-211-1-1-1-222-1-11111-2-22211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i2-20000000011-1-111-1-1000000002i−2i0000−i−iii00000000
χ412222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-12211110000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii0022-2-22i2i−2i−2i00000000−i−i−i−iiiii00-1-111000000000000
χ422222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-12211110000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00-2-222−2i−2i2i2i00000000iiii−i−i−i−i0011-1-1000000000000
χ432222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-1221111000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i0022-2-2−2i−2i2i2i00000000iiii−i−i−i−i00-1-111000000000000
χ442222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-11-2-2-1-1-11-1-1221111000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00-2-2222i2i−2i−2i00000000−i−i−i−iiiii0011-1-1000000000000
χ4522-2-222-2-22-2222-2-2-22-2-22-2-22222-2-22-22-2-2-2222-22-2-2-22200002-2002-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ4622-2-222-2-22-2222-2-2-22-2-22-2-22222-2-22-22-2-2-2222-22-2-2-22200002-2002-20000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ4722-2-222-2-2-2222-22-2-22-2-22-2-22222-2-222-22-2-22-2-22-22-2-2220000-2200-220000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i000000000000
χ4822-2-222-2-2-2222-22-2-22-2-22-2-22222-2-222-22-2-22-2-22-22-2-2220000-2200-22000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i000000000000
χ4922-2-222-2-2-22-12-22-2-2-111211-1-122-2-2-1-1-2211-111-1-2211-1-100001-1001-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3002i−2i2i−2i00000000000033−3−333−3−300−ii−ii000000000000
χ5022-2-222-2-2-22-12-22-2-2-111211-1-122-2-2-1-1-2211-111-1-2211-1-100001-1001-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300−2i2i−2i2i000000000000−3−333−3−33300i−ii−i000000000000
χ5122-2-222-2-2-22-12-22-2-2-111211-1-122-2-2-1-1-2211-111-1-2211-1-100001-1001-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3002i−2i2i−2i000000000000−3−333−3−33300−ii−ii000000000000
χ5222-2-222-2-2-22-12-22-2-2-111211-1-122-2-2-1-1-2211-111-1-2211-1-100001-1001-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i300−2i2i−2i2i00000000000033−3−333−3−300i−ii−i000000000000
χ5322-2-2-2-2222-222-22-2-22-2-2222-2-2-2-2222-22-2-2-222-22-2222-2-200002-200-220000000000000000002i−2i−2i2i00000000000000000000002i−2i−2i2i000000000000
χ5422-2-2-2-2222-222-22-2-22-2-2222-2-2-2-2222-22-2-2-222-22-2222-2-200002-200-22000000000000000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i000000000000
χ5522-2-2-2-2222-2-12-22-2-2-1112-1-111-2-222-112-211-1-11-1-22-1-1110000-11001-13−300−33003−33−3−33−33002i−2i−2i2i000000000000i3i3−i3−i3−i3−i3i3i300−iii−i000000000000
χ5622-2-2-2-2222-2-12-22-2-2-1112-1-111-2-222-112-211-1-11-1-22-1-1110000-11001-13−300−33003−33−3−33−3300−2i2i2i−2i000000000000−i3−i3i3i3i3i3−i3−i300i−i−ii000000000000
χ5722-2-2-2-2222-2-12-22-2-2-1112-1-111-2-222-112-211-1-11-1-22-1-1110000-11001-1−33003−300−33−333−33−3002i−2i−2i2i000000000000−i3−i3i3i3i3i3−i3−i300−iii−i000000000000
χ5822-2-2-2-2222-2-12-22-2-2-1112-1-111-2-222-112-211-1-11-1-22-1-1110000-11001-1−33003−300−33−333−33−300−2i2i2i−2i000000000000i3i3−i3−i3−i3−i3i3i300i−i−ii000000000000
χ5922-2-2-2-222-22222-2-2-22-2-2222-2-2-2-22222-22-2-22-22-22-222-2-20000-22002-200000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ6022-2-2-2-222-22222-2-2-22-2-2222-2-2-2-22222-22-2-22-22-22-222-2-20000-22002-20000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ612-22-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i2-22i−2i00000000000000000000000000001+i−1−i1−i−1+i2-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000001+i−1−i1−i−1+i
χ622-22-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i2-22i−2i0000000000000000000000000000−1−i1+i−1+i1−i2-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000−1−i1+i−1+i1−i
χ632-22-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i-22−2i2i00000000000000000000000000001+i−1−i1−i−1+i-220000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000−1−i1+i−1+i1−i
χ642-22-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i-22−2i2i0000000000000000000000000000−1−i1+i−1+i1−i-220000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000001+i−1−i1−i−1+i
χ652-22-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i2-2−2i2i00000000000000000000000000001−i−1+i1+i−1−i2-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000001−i−1+i1+i−1−i
χ662-22-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i2-2−2i2i0000000000000000000000000000−1+i1−i−1−i1+i2-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000−1+i1−i−1−i1+i
χ672-22-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i-222i−2i00000000000000000000000000001−i−1+i1+i−1−i-2200002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000−1+i1−i−1−i1+i
χ682-22-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i-222i−2i0000000000000000000000000000−1+i1−i−1−i1+i-2200002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000001−i−1+i1+i−1−i
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211110000114411-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000000
χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-21111000011-4-41122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-4-4-24-4-444-2-2-24-2-2-2-24444-22-4-4-2-2-2222-4-4-2-2-2-20000220022000000000000000000000000000000000000000000000000000000000000
χ7244444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112222211110000-1-100-1-100−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ7344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112222211110000-1-100-1-1002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.