Finite Group Databasebeta

← Group #10589302

Character table — Group #10589302

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222224444444444444444666666661212121211111111222222222222444444444444444466666666121212121111111122222222222244444444444444446666666612121212
order12224444223446661212121266888812122424242424242424888888888888366612121212663121266612121212662424242412122424242424242424242424242424242424242424366612121212663121266612121212662424242412122424242424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ61111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii1111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii
χ71111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii
χ81111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i1111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i
χ91-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111ii−i−iii−i−i−ii−ii1-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111ii−i−iii−i−i−ii−ii1-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111−i−iii−i−iiii−ii−i1-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111−i−iii−i−iiii−ii−i1-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ172222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000
χ1922222222-2-22-2-22222222-2-20000-2-20000000000000000000022222222-2-22-2-22222222-2-20000-2-20000000000000000000022222222-2-22-2-22222222-2-20000-2-200000000000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i3000000000000
χ222222-2-2-2-2222-2-2222-2-2-2-2220000-2-2000000000000000000002222-2-2-2-2222-2-2222-2-2-2-2220000-2-2000000000000000000002222-2-2-2-2222-2-2222-2-2-2-2220000-2-200000000000000000000
χ232222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−330000000000002222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−330000000000002222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−33000000000000
χ242222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−30000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−30000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−3000000000000
χ252222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii0000000000002222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii0000000000002222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii000000000000
χ262222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i000000000000
χ2722-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000002−22−2−i2i2−i2i2000022-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000002−22−2−i2i2−i2i2000022-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000002−22−2−i2i2−i2i20000
χ2822-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−22−22i2−i2i2−i2000022-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−22−22i2−i2i2−i2000022-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−22−22i2−i2i2−i20000
χ2922-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000002−22−2i2−i2i2−i2000022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000002−22−2i2−i2i2−i2000022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000002−22−2i2−i2i2−i20000
χ3022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−22−22−i2i2−i2i2000022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−22−22−i2i2−i2i2000022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−22−22−i2i2−i2i20000
χ312-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000−i2i2i2−i2−222−200002-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000−i2i2i2−i2−222−200002-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000−i2i2i2−i2−222−20000
χ322-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000i2−i2−i2i22−2−2200002-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000i2−i2−i2i22−2−2200002-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000i2−i2−i2i22−2−220000
χ332-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000−i2i2i2−i22−2−2200002-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000−i2i2i2−i22−2−2200002-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000−i2i2i2−i22−2−220000
χ342-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000i2−i2−i2i2−222−200002-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000i2−i2−i2i2−222−200002-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000i2−i2−i2i2−222−20000
χ352-2-2222-2-22-2-12-211-111-1-1-112-22-2-11-1-111-1-1110000000000002-2-2222-2-22-2-12-211-111-1-1-112-22-2-11-1-111-1-1110000000000002-2-2222-2-22-2-12-211-111-1-1-112-22-2-11-1-111-1-111000000000000
χ362-2-2222-2-22-2-12-211-111-1-1-11-22-22-1111-1-111-1-10000000000002-2-2222-2-22-2-12-211-111-1-1-11-22-22-1111-1-111-1-10000000000002-2-2222-2-22-2-12-211-111-1-1-11-22-22-1111-1-111-1-1000000000000
χ372-2-2222-2-2-222-22-2-22-2-222-220000-22000000000000000000002-2-2222-2-2-222-22-2-22-2-222-220000-22000000000000000000002-2-2222-2-2-222-22-2-22-2-222-220000-2200000000000000000000
χ382-2-2222-2-2-22-1-2211-111-1-11-100001-1−i3i3i3−i3−i3i3i3−i30000000000002-2-2222-2-2-22-1-2211-111-1-11-100001-1−i3i3i3−i3−i3i3i3−i30000000000002-2-2222-2-2-22-1-2211-111-1-11-100001-1−i3i3i3−i3−i3i3i3−i3000000000000
χ392-2-2222-2-2-22-1-2211-111-1-11-100001-1i3−i3−i3i3i3−i3−i3i30000000000002-2-2222-2-2-22-1-2211-111-1-11-100001-1i3−i3−i3i3i3−i3−i3i30000000000002-2-2222-2-2-22-1-2211-111-1-11-100001-1i3−i3−i3i3i3−i3−i3i3000000000000
χ402-2-22-2-2222-22-22-2-2222-2-22-20000-22000000000000000000002-2-22-2-2222-22-22-2-2222-2-22-20000-22000000000000000000002-2-22-2-2222-22-22-2-2222-2-22-20000-2200000000000000000000
χ412-2-22-2-2222-2-1-2211-1-1-111-1100001-13−3−33−333−30000000000002-2-22-2-2222-2-1-2211-1-1-111-1100001-13−3−33−333−30000000000002-2-22-2-2222-2-1-2211-1-1-111-1100001-13−3−33−333−3000000000000
χ422-2-22-2-2222-2-1-2211-1-1-111-1100001-1−333−33−3−330000000000002-2-22-2-2222-2-1-2211-1-1-111-1100001-1−333−33−3−330000000000002-2-22-2-2222-2-1-2211-1-1-111-1100001-1−333−33−3−33000000000000
χ432-2-22-2-222-22-12-211-1-1-1111-12i−2i−2i2i-11−i−iiiii−i−i0000000000002-2-22-2-222-22-12-211-1-1-1111-12i−2i−2i2i-11−i−iiiii−i−i0000000000002-2-22-2-222-22-12-211-1-1-1111-12i−2i−2i2i-11−i−iiiii−i−i000000000000
χ442-2-22-2-222-22-12-211-1-1-1111-1−2i2i2i−2i-11ii−i−i−i−iii0000000000002-2-22-2-222-22-12-211-1-1-1111-1−2i2i2i−2i-11ii−i−i−i−iii0000000000002-2-22-2-222-22-12-211-1-1-1111-1−2i2i2i−2i-11ii−i−i−i−iii000000000000
χ4544-4-44i−4i4i−4i00-200-222−2i2i−2i2i000000000000000000000000000044-4-44i−4i4i−4i00-200-222−2i2i−2i2i000000000000000000000000000044-4-44i−4i4i−4i00-200-222−2i2i−2i2i0000000000000000000000000000
χ4644-4-4−4i4i−4i4i00-200-2222i−2i2i−2i000000000000000000000000000044-4-4−4i4i−4i4i00-200-2222i−2i2i−2i000000000000000000000000000044-4-4−4i4i−4i4i00-200-2222i−2i2i−2i0000000000000000000000000000
χ474-44-44i−4i−4i4i00-2002-222i−2i−2i2i00000000000000000000000000004-44-44i−4i−4i4i00-2002-222i−2i−2i2i00000000000000000000000000004-44-44i−4i−4i4i00-2002-222i−2i−2i2i0000000000000000000000000000
χ484-44-4−4i4i4i−4i00-2002-22−2i2i2i−2i00000000000000000000000000004-44-4−4i4i4i−4i00-2002-22−2i2i2i−2i00000000000000000000000000004-44-4−4i4i4i−4i00-2002-22−2i2i2i−2i0000000000000000000000000000
χ49111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ521111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ531111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22
χ541111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ551111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22
χ561111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ571-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ581-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22
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χ621-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32
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χ98111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ991111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1001111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1011111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14
χ1021111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ1031111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14
χ1041111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ1051-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ1061-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14
χ1071-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111ii−i−iii−i−i−ii−ii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ1081-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111−i−iii−i−iiii−ii−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14
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χ1101-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32
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χ1132222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1142222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
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χ1434-44-44i−4i−4i4i00-2002-222i−2i−2i2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−4ζ224ζ22001+i300−1−i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000000000000000000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−4ζ144ζ14001−i300−1+i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000000000000000000000000000
χ1444-44-4−4i4i4i−4i00-2002-22−2i2i2i−2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ22001+i300−1−i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ14001−i300−1+i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000000000000000000000000000

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