Finite Group Databasebeta

← Group #72218214

Character table — Group #72218214

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222223333444466666666666666888888121212121212121212121212121212122424242424243232323232323232323232323232323232323232323232323232323232323232484848484848484848484848484848489696969696969696
order124424444422448888244444444444448888884444444444448888888888366612121212121212121212121224242424242424242424242424242424224444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ411111111111111-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ511111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111-1-111-1-1
χ611111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-111-1-111
χ711111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911-1-1-1ii−i−i111-1-1ii−i−i-11ii−i−i1111-1-1-1-1i−i11-1-111-1-1iiii−i−i−i−iii−i−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-111-1-11-11-1i−ii−ii−ii−i1-1i−ii−i1-1
χ1011-1-1-1ii−i−i111-1-1ii−i−i-11ii−i−i1111-1-1-1-1i−i11-1-111-1-1iiii−i−i−i−iii−i−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-111-11-11−ii−ii−ii−ii-11−ii−ii-11
χ1111-1-1-1ii−i−i111-1-1−i−iii-11ii−i−i1111-1-1-1-1−ii-1-11111-1-1iiii−i−i−i−i−i−iii−ii-1-11111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-111111-1-111-1-11i−i−iii−i−ii1-1i−i−ii-11
χ1211-1-1-1ii−i−i111-1-1−i−iii-11ii−i−i1111-1-1-1-1−ii-1-11111-1-1iiii−i−i−i−i−i−iii−ii-1-11111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111-111-1-111-1−iii−i−iii−i-11−iii−i1-1
χ1311-1-1-1−i−iii111-1-1ii−i−i-11−i−iii1111-1-1-1-1i−i-1-11111-1-1−i−i−i−iiiiiii−i−ii−i-1-11111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-111111-1-111-1-11−iii−i−iii−i1-1−iii−i-11
χ1411-1-1-1−i−iii111-1-1ii−i−i-11−i−iii1111-1-1-1-1i−i-1-11111-1-1−i−i−i−iiiiiii−i−ii−i-1-11111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111-111-1-111-1i−i−iii−i−ii-11i−i−ii1-1
χ1511-1-1-1−i−iii111-1-1−i−iii-11−i−iii1111-1-1-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−iii−ii11-1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-111-1-11-11-1−ii−ii−ii−ii1-1−ii−ii1-1
χ1611-1-1-1−i−iii111-1-1−i−iii-11−i−iii1111-1-1-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−iii−ii11-1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-111-11-11i−ii−ii−ii−i-11i−ii−i-11
χ17222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222-2-2-2-222222222222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ1922222-2-2-2-222222222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2022222-2-2-2-222222-2-2-2-222-2-2-2-222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222-20000-222222222-2-2000022222222-2-20000-2-2-2-2000000002222-2-2000022-2-200000000-2-22222-2-222-2-200000000000000000000000000000000
χ222222-20000-222222222-2-2000022222222-2-20000-2-2-2-2000000002222-2-20000-1-11133−3−333−3−311-1-1-1-111-1-11133−3−333−3−3000000000000000000000000
χ232222-20000-222222222-2-2000022222222-2-20000-2-2-2-2000000002222-2-20000-1-111−3−333−3−33311-1-1-1-111-1-111−3−333−3−333000000000000000000000000
χ242222-20000-22222-2-2-2-2-2-2000022222222220000-2-2-2-200000000-2-2-2-222000022-2-200000000-2-222-2-222-2-22200000000000000000000000000000000
χ252222-20000-22222-2-2-2-2-2-2000022222222220000-2-2-2-200000000-2-2-2-2220000-1-11133−3−333−3−311-1-111-1-111-1-1−3−333−3−333000000000000000000000000
χ262222-20000-22222-2-2-2-2-2-2000022222222220000-2-2-2-200000000-2-2-2-2220000-1-111−3−333−3−33311-1-111-1-111-1-133−3−333−3−3000000000000000000000000
χ2722-2-220000-222-2-22i2i−2i−2i2-200002222-2-2-2-2−2i2i0000-2-222000000002i2i−2i−2i−2i2i0000222200000000-2-2-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ2822-2-220000-222-2-22i2i−2i−2i2-200002222-2-2-2-2−2i2i0000-2-222000000002i2i−2i−2i−2i2i0000-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i−iiiii−i−i−3−33333−3−3000000000000000000000000
χ2922-2-220000-222-2-22i2i−2i−2i2-200002222-2-2-2-2−2i2i0000-2-222000000002i2i−2i−2i−2i2i0000-1-1-1-1i3i3−i3−i3−i3−i3i3i31111−i−iiiii−i−i33−3−3−3−333000000000000000000000000
χ3022-2-220000-222-2-2−2i−2i2i2i2-200002222-2-2-2-22i−2i0000-2-22200000000−2i−2i2i2i2i−2i0000222200000000-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ3122-2-220000-222-2-2−2i−2i2i2i2-200002222-2-2-2-22i−2i0000-2-22200000000−2i−2i2i2i2i−2i0000-1-1-1-1−i3−i3i3i3i3i3−i3−i31111ii−i−i−i−iii33−3−3−3−333000000000000000000000000
χ3222-2-220000-222-2-2−2i−2i2i2i2-200002222-2-2-2-22i−2i0000-2-22200000000−2i−2i2i2i2i−2i0000-1-1-1-1i3i3−i3−i3−i3−i3i3i31111ii−i−i−i−iii−3−33333−3−3000000000000000000000000
χ3322-2-2-22i2i−2i−2i222-2-22i2i−2i−2i-222i2i−2i−2i2222-2-2-2-22i−2i22-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i−2i22-2-2-1-111−i−i−i−iiiii-1-111−i−i−i−iiiii-1-1-1-11111000000000000000000000000
χ3422-2-2-22i2i−2i−2i222-2-2−2i−2i2i2i-222i2i−2i−2i2222-2-2-2-2−2i2i-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i2i-2-222-1-111−i−i−i−iiiii-1-111iiii−i−i−i−i1111-1-1-1-1000000000000000000000000
χ3522-2-2-2−2i−2i2i2i222-2-22i2i−2i−2i-22−2i−2i2i2i2222-2-2-2-22i−2i-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i−2i-2-222-1-111iiii−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1000000000000000000000000
χ3622-2-2-2−2i−2i2i2i222-2-2−2i−2i2i2i-22−2i−2i2i2i2222-2-2-2-2−2i2i22-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i2i22-2-2-1-111iiii−i−i−i−i-1-111iiii−i−i−i−i-1-1-1-11111000000000000000000000000
χ372-22i−2i01+i−1−i1−i−1+i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i002−2−i2i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002−2−i2i22-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i2000000000000000000000000
χ382-22i−2i01+i−1−i1−i−1+i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i002−2−i2i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002−2−i2i2-11−i3i3−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ143−3−ii−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000
χ392-22i−2i01+i−1−i1−i−1+i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i002−2−i2i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002−2−i2i2-11i3−i3−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−33−ii−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000000000
χ402-22i−2i01+i−1−i1−i−1+i02-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i00−22i2−i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−22i2−i22-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i2000000000000000000000000
χ412-22i−2i01+i−1−i1−i−1+i02-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i00−22i2−i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−22i2−i2-11−i3i3−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ143−3−iiζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000000000000
χ422-22i−2i01+i−1−i1−i−1+i02-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1−i−1+i22-2-22i2i−2i−2i00−22i2−i200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−22i2−i2-11i3−i3−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−33−iiζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000
χ432-22i−2i0−1−i1+i−1+i1−i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1+i1−i22-2-22i2i−2i−2i00−22i2−i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−22i2−i22-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2000000000000000000000000
χ442-22i−2i0−1−i1+i−1+i1−i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1+i1−i22-2-22i2i−2i−2i00−22i2−i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−22i2−i2-11−i3i3ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ143−3−ii−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000000000000
χ452-22i−2i0−1−i1+i−1+i1−i02-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1+i1−i22-2-22i2i−2i−2i00−22i2−i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−22i2−i2-11i3−i3ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−33−ii−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000
χ462-22i−2i0−1−i1+i−1+i1−i02-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1+i1−i22-2-22i2i−2i−2i002−2−i2i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002−2−i2i22-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i2000000000000000000000000
χ472-22i−2i0−1−i1+i−1+i1−i02-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1+i1−i22-2-22i2i−2i−2i002−2−i2i20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002−2−i2i2-11−i3i3ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ143−3−iiζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000
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χ1036-6−6i6i0−3+3i3−3i−3−3i3+3i06-6−6i6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ2300−3+3i3−3i−3−3i3+3i-2-2222i2i−2i−2i00−3232−3i23i200001−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002−2i2−i200000000000000000000000000000000000000000000000000000000
χ1046-6−6i6i0−3+3i3−3i−3−3i3+3i06-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ2300−3+3i3−3i−3−3i3+3i-2-2222i2i−2i−2i0032−323i2−3i200001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−22−i2i200000000000000000000000000000000000000000000000000000000
χ10512121212-120000-12-4-4-4-400004400004-44-44-44-4000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ10612121212-120000-12-4-4-4-40000440000-44-44-44-440000004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1071212-12-12120000-12-4-4440000-4400004-44-4-44-44000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1081212-12-12120000-12-4-4440000-440000-44-444-44-40000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ10912-1212i−12i06+6i−6−6i6−6i−6+6i0-44−4i4i000000−2−2i2+2i−2+2i2−2i4-4-444i−4i−4i4i00000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212i−12i06+6i−6−6i6−6i−6+6i0-44−4i4i000000−2−2i2+2i−2+2i2−2i-444-4−4i4i4i−4i0000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000000000
χ11112-1212i−12i0−6−6i6+6i−6+6i6−6i0-44−4i4i0000002+2i−2−2i2−2i−2+2i4-4-444i−4i−4i4i0000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000000000
χ11212-1212i−12i0−6−6i6+6i−6+6i6−6i0-44−4i4i0000002+2i−2−2i2−2i−2+2i-444-4−4i4i4i−4i00000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000000000
χ11312-12−12i12i06−6i−6+6i6+6i−6−6i0-444i−4i000000−2+2i2−2i−2−2i2+2i4-4-44−4i4i4i−4i00000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000000000
χ11412-12−12i12i06−6i−6+6i6+6i−6−6i0-444i−4i000000−2+2i2−2i−2−2i2+2i-444-44i−4i−4i4i0000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000000000
χ11512-12−12i12i0−6+6i6−6i−6−6i6+6i0-444i−4i0000002−2i−2+2i2+2i−2−2i4-4-44−4i4i4i−4i0000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000000000
χ11612-12−12i12i0−6+6i6−6i−6−6i6+6i0-444i−4i0000002−2i−2+2i2+2i−2−2i-444-44i−4i−4i4i00000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000000000

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