Finite Group Databasebeta

← Group #11775813

Character table — Group #11775813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order12223344446666661212121234666888812121212121212121212121224242424242424242244441212121212121212121212121224242424242424242424242446688881212242424242424242444882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-111-1-1
χ9111111-1-1-1-1111111-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i1-1i−iii−i−i1-11-1i−i
χ10111111-1-1-1-1111111-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i-11−ii−i−iii-11-11−ii
χ11111111-1-1-1-1111111-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii1-1i−iii−i−i1-1-11−ii
χ12111111-1-1-1-1111111-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii-11−ii−i−iii-111-1i−i
χ13111111-1-1-1-1111111-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii1-1−ii−i−iii1-11-1−ii
χ14111111-1-1-1-1111111-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii-11i−iii−i−i-11-11i−i
χ15111111-1-1-1-1111111-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i1-1−ii−i−iii1-1-11i−i
χ16111111-1-1-1-1111111-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i-11i−iii−i−i-111-1−ii
χ1722222222-2-222222222222-22220000-2-2-2-2222222-2-20000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002220000220000000000000000000000
χ1822222222-2-222222222222-22220000-2-2-2-2222222-2-200000000-2-2222222222222-2-2-2-2-2000000000000-2-2-20000-2-20000000000000000000000
χ19222222-2-222222222-2-2-2-22-22220000-2-222-2-2-2-2-2-2220000000022-2-222-2-2-2-22222-2-2-222000000000000-2220000-2-20000000000000000000000
χ20222222-2-222222222-2-2-2-22-22220000-2-222-2-2-2-2-2-22200000000-2-222-2-22222-2-2-2-2-2-2-2220000000000002-2-20000220000000000000000000000
χ2122222-122222-1-1-122-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-122222-1-1-122-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-2111111111100000000000000
χ2322222-122222-1-1-122-1-1-1-1-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-12211111111222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-2-1-11111111100000000000000
χ2422222-122222-1-1-122-1-1-1-1-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-12211111111-2-2-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-211222211-1-1-1-1-1-1-1-100000000000000
χ2522222-122-2-22-1-1-122-1-1-1-1-1-2-1-1-10000111122-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i322-2-2-2-211111111-2111100−i3−i3i3i300−i3−i3i3i32-1-10000-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ2622222-122-2-22-1-1-122-1-1-1-1-1-2-1-1-10000111122-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i3-2-22222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-211000011i3i3−i3−i3i3i3−i3−i300000000000000
χ2722222-122-2-22-1-1-122-1-1-1-1-1-2-1-1-10000111122-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i322-2-2-2-211111111-2111100i3i3−i3−i300i3i3−i3−i32-1-10000-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ2822222-122-2-22-1-1-122-1-1-1-1-1-2-1-1-10000111122-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i3-2-22222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-211000011−i3−i3i3i3−i3−i3i3i300000000000000
χ2922222-1-2-2222-1-1-1221111-1-2-1-1-1000011-1-1-2-211112233−3−3−3−33322-2-2221111-1-1-1-1-211-1-10033−3−300−3−333-2-1-100001133−3−3−3−33300000000000000
χ3022222-1-2-2222-1-1-1221111-1-2-1-1-1000011-1-1-2-211112233−3−3−3−333-2-222-2-2-1-1-1-11111-211-1-10033−3−300−3−3332110000-1-1−3−33333−3−300000000000000
χ3122222-1-2-2222-1-1-1221111-1-2-1-1-1000011-1-1-2-2111122−3−33333−3−322-2-2221111-1-1-1-1-211-1-100−3−3330033−3−3-2-1-1000011−3−33333−3−300000000000000
χ3222222-1-2-2222-1-1-1221111-1-2-1-1-1000011-1-1-2-2111122−3−33333−3−3-2-222-2-2-1-1-1-11111-211-1-100−3−3330033−3−32110000-1-133−3−3−3−33300000000000000
χ3322222-1-2-2-2-22-1-1-1221111-12-1-1-12i2i−2i−2i-1-111-2-21111-2-2−i−i−i−iiiii2222-2-2-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii-2-1-12i2i−2i−2i11−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-22-1-1-1221111-12-1-1-12i2i−2i−2i-1-111-2-21111-2-2−i−i−i−iiiii-2-2-2-2221111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii211−2i−2i2i2i-1-1iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-22-1-1-1221111-12-1-1-1−2i−2i2i2i-1-111-2-21111-2-2iiii−i−i−i−i2222-2-2-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i-2-1-1−2i−2i2i2i11iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-22-1-1-1221111-12-1-1-1−2i−2i2i2i-1-111-2-21111-2-2iiii−i−i−i−i-2-2-2-2221111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i2112i2i−2i−2i-1-1−i−i−i−iiiii00000000000000
χ372222-122222-1222-1-12222-12-1-1-122222222-1-1-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1222-1-12222-12-1-1-122222222-1-1-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1222-1-12222-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ402222-122222-1222-1-12222-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-2-2-2-1222-1-1-2-2-2-2-12-1-1-12i2i−2i−2i22-2-2111111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii000000000000000002-22i−2i−i−iii-110000
χ422222-12-2-2-2-2-1222-1-1-2-2-2-2-12-1-1-12i2i−2i−2i22-2-2111111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii00000000000000000-22−2i2iii−i−i1-10000
χ432222-12-2-2-2-2-1222-1-1-2-2-2-2-12-1-1-1−2i−2i2i2i22-2-211111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i000000000000000002-2−2i2iii−i−i-110000
χ442222-12-2-2-2-2-1222-1-1-2-2-2-2-12-1-1-1−2i−2i2i2i22-2-211111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i00000000000000000-222i−2i−i−iii1-10000
χ452-22-222002i−2i-22-2-22-20000202-2-21+i−1−i1−i−1+i002i−2i0000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2002i−2i00002i2i−2i−2i0002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i02-21+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ462-22-222002i−2i-22-2-22-20000202-2-21+i−1−i1−i−1+i002i−2i0000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i-2200−2i2i0000−2i−2i2i2i0002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i0-22−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ472-22-222002i−2i-22-2-22-20000202-2-2−1−i1+i−1+i1−i002i−2i0000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2002i−2i00002i2i−2i−2i0002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i02-2−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ482-22-222002i−2i-22-2-22-20000202-2-2−1−i1+i−1+i1−i002i−2i0000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-2200−2i2i0000−2i−2i2i2i0002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i0-221+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ492-22-22200−2i2i-22-2-22-20000202-2-21−i−1+i1+i−1−i00−2i2i000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-200−2i2i0000−2i−2i2i2i000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i02-21−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ502-22-22200−2i2i-22-2-22-20000202-2-21−i−1+i1+i−1−i00−2i2i000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-22002i−2i00002i2i−2i−2i000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i0-22−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ512-22-22200−2i2i-22-2-22-20000202-2-2−1+i1−i−1−i1+i00−2i2i000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-200−2i2i0000−2i−2i2i2i000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i02-2−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ522-22-22200−2i2i-22-2-22-20000202-2-2−1+i1−i−1−i1+i00−2i2i000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-22002i−2i00002i2i−2i−2i000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i0-221−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ532-22-22-1002i−2i-2-1112-2−i3−i3i3i3-10-1111+i−1−i1−i−1+i3−3−ii00−i3−i3i3i32i−2i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ112-2002i−2i33−3−3−i−iii03−3−ii1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110-111+i−1−i1−i−1+i−i3i3−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000000000
χ542-22-22-1002i−2i-2-1112-2−i3−i3i3i3-10-1111+i−1−i1−i−1+i3−3−ii00−i3−i3i3i32i−2i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11-2200−2i2i−3−333ii−i−i03−3−ii1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1101-1−1−i1+i−1+i1−ii3−i3ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000000000
χ552-22-22-1002i−2i-2-1112-2−i3−i3i3i3-10-111−1−i1+i−1+i1−i3−3−ii00−i3−i3i3i32i−2iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ112-2002i−2i33−3−3−i−iii03−3−ii−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110-11−1−i1+i−1+i1−i−i3i3ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000000000
χ562-22-22-1002i−2i-2-1112-2−i3−i3i3i3-10-111−1−i1+i−1+i1−i3−3−ii00−i3−i3i3i32i−2iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11-2200−2i2i−3−333ii−i−i03−3−ii−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1101-11+i−1−i1−i−1+ii3−i3−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000000000
χ572-22-22-1002i−2i-2-1112-2i3i3−i3−i3-10-1111+i−1−i1−i−1+i−33−ii00i3i3−i3−i32i−2i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ72-2002i−2i−3−333−i−iii0−33−ii1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70-111+i−1−i1−i−1+ii3−i3−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.