Finite Group Databasebeta

← Group #13149818

Character table — Group #13149818

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222224466666666666699991212121212121212121218181818181818181818181818181818181836363636363636361111222222446666666666669999121212121212121212121818181818181818181818181818181818183636363636363636
order124436881212242433661212121224242424888836121224242424242422244466888812122424242466121224242424224466881212242466661212121224242424888866121224242424242422244466888812122424242466121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1111111111111111111111111-1-1-1-11111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1
χ4111111111111111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-11-11-1-111111111111111111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-11-11-1-111
χ5111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-111-1-111111-11-1-1-111111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-111-1-111111-11-1-1-111
χ6111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-11-1111-1-1111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-11-1111-1-1
χ7111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ8111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-11111
χ911-1-111i−i-1-1i−i1111-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i11-1-1-1111i−ii−i-1-1ii−i−i1-1-11i−ii−i11-1-111i−i-1-1i−i1111-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i11-1-1-1111i−ii−i-1-1ii−i−i1-1-11i−ii−i
χ1011-1-111i−i-1-1i−i1111-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-11-111−ii−ii-1-1ii−i−i-111-1−ii−ii11-1-111i−i-1-1i−i1111-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i1-11-11-111−ii−ii-1-1ii−i−i-111-1−ii−ii
χ1111-1-111i−i-1-1i−i1111-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-1111-1-1-1-1i−i−ii11−i−iii11-1-1i−i−ii11-1-111i−i-1-1i−i1111-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-1111-1-1-1-1i−i−ii11−i−iii11-1-1i−i−ii
χ1211-1-111i−i-1-1i−i1111-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-1-1-1111-1-1−iii−i11−i−iii-1-111−iii−i11-1-111i−i-1-1i−i1111-1-1-1-1ii−i−i−i−iii11-1-1i−iii−i−i-1-1-1111-1-1−iii−i11−i−iii-1-111−iii−i
χ1311-1-111−ii-1-1−ii1111-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-1111-1-1-1-1−iii−i11ii−i−i11-1-1−iii−i11-1-111−ii-1-1−ii1111-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-1111-1-1-1-1−iii−i11ii−i−i11-1-1−iii−i
χ1411-1-111−ii-1-1−ii1111-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-1-1-1111-1-1i−i−ii11ii−i−i-1-111i−i−ii11-1-111−ii-1-1−ii1111-1-1-1-1−i−iiiii−i−i11-1-1−ii−i−iii-1-1-1111-1-1i−i−ii11ii−i−i-1-111i−i−ii
χ1511-1-111−ii-1-1−ii1111-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii11-1-1-1111−ii−ii-1-1−i−iii1-1-11−ii−ii11-1-111−ii-1-1−ii1111-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii11-1-1-1111−ii−ii-1-1−i−iii1-1-11−ii−ii
χ1611-1-111−ii-1-1−ii1111-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-11-11-111i−ii−i-1-1−i−iii-111-1i−ii−i11-1-111−ii-1-1−ii1111-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii1-11-11-111i−ii−i-1-1−i−iii-111-1i−ii−i
χ172222222222222-12-122-1-122220000-1-1-1-1-1-1-1-1-1-10020020000220000000-10-100-1-12222222222222-12-122-1-122220000-1-1-1-1-1-1-1-1-1-10020020000220000000-10-100-1-1
χ182222222222222-12-122-1-122220000-1-1-1-1-1-1-1-1-1-100-200-20000-2-2000000010100112222222222222-12-122-1-122220000-1-1-1-1-1-1-1-1-1-100-200-20000-2-200000001010011
χ19222222222222-12-12-1-122-1-1-1-12222-1-1-1-122-1-1-1-1200200-1-10000-1-1-1-1-1-100000000222222222222-12-12-1-122-1-1-1-12222-1-1-1-122-1-1-1-1200200-1-10000-1-1-1-1-1-100000000
χ20222222222222-12-12-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-200-20011000011111100000000222222222222-12-12-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-200-20011000011111100000000
χ21222222-2-222-2-22-12-122-1-1-2-2-2-20000-1-1-1-11111110020020000-2-20000000-10-10011222222-2-222-2-22-12-122-1-1-2-2-2-20000-1-1-1-11111110020020000-2-20000000-10-10011
χ22222222-2-222-2-22-12-122-1-1-2-2-2-20000-1-1-1-111111100-200-2000022000000010100-1-1222222-2-222-2-22-12-122-1-1-2-2-2-20000-1-1-1-111111100-200-2000022000000010100-1-1
χ23222222-2-222-2-2-12-12-1-12211112222-1-1-1-1-2-21111-200-20011000011-1-1-1-100000000222222-2-222-2-2-12-12-1-12211112222-1-1-1-1-2-21111-200-20011000011-1-1-1-100000000
χ24222222-2-222-2-2-12-12-1-1221111-2-2-2-2-1-1-1-1-2-21111200200-1-10000-1-1111100000000222222-2-222-2-2-12-12-1-1221111-2-2-2-2-1-1-1-1-2-21111200200-1-10000-1-1111100000000
χ2522-2-2222i−2i-2-22i−2i2-12-1-2-2112i2i−2i−2i0000-1-111−ii−i−iii00200-20000−2i2i0000000-10100i−i22-2-2222i−2i-2-22i−2i2-12-1-2-2112i2i−2i−2i0000-1-111−ii−i−iii00200-20000−2i2i0000000-10100i−i
χ2622-2-2222i−2i-2-22i−2i2-12-1-2-2112i2i−2i−2i0000-1-111−ii−i−iii00-200200002i−2i000000010-100−ii22-2-2222i−2i-2-22i−2i2-12-1-2-2112i2i−2i−2i0000-1-111−ii−i−iii00-200200002i−2i000000010-100−ii
χ2722-2-2222i−2i-2-22i−2i-12-1211-2-2−i−iii2i2i−2i−2i-1-1112i−2i−i−iii200-200-1-1000011−i−iii0000000022-2-2222i−2i-2-22i−2i-12-1211-2-2−i−iii2i2i−2i−2i-1-1112i−2i−i−iii200-200-1-1000011−i−iii00000000
χ2822-2-2222i−2i-2-22i−2i-12-1211-2-2−i−iii−2i−2i2i2i-1-1112i−2i−i−iii-200200110000-1-1ii−i−i0000000022-2-2222i−2i-2-22i−2i-12-1211-2-2−i−iii−2i−2i2i2i-1-1112i−2i−i−iii-200200110000-1-1ii−i−i00000000
χ2922-2-222−2i2i-2-2−2i2i2-12-1-2-211−2i−2i2i2i0000-1-111i−iii−i−i00200-200002i−2i0000000-10100−ii22-2-222−2i2i-2-2−2i2i2-12-1-2-211−2i−2i2i2i0000-1-111i−iii−i−i00200-200002i−2i0000000-10100−ii
χ3022-2-222−2i2i-2-2−2i2i2-12-1-2-211−2i−2i2i2i0000-1-111i−iii−i−i00-20020000−2i2i000000010-100i−i22-2-222−2i2i-2-2−2i2i2-12-1-2-211−2i−2i2i2i0000-1-111i−iii−i−i00-20020000−2i2i000000010-100i−i
χ3122-2-222−2i2i-2-2−2i2i-12-1211-2-2ii−i−i2i2i−2i−2i-1-111−2i2iii−i−i-200200110000-1-1−i−iii0000000022-2-222−2i2i-2-2−2i2i-12-1211-2-2ii−i−i2i2i−2i−2i-1-111−2i2iii−i−i-200200110000-1-1−i−iii00000000
χ3222-2-222−2i2i-2-2−2i2i-12-1211-2-2ii−i−i−2i−2i2i2i-1-111−2i2iii−i−i200-200-1-1000011ii−i−i0000000022-2-222−2i2i-2-2−2i2i-12-1211-2-2ii−i−i−2i−2i2i2i-1-111−2i2iii−i−i200-200-1-1000011ii−i−i00000000
χ332-22i−2i2-2002i−2i0022-2-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-22i−2i2-2002i−2i0022-2-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ342-22i−2i2-2002i−2i0022-2-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-22i−2i2-2002i−2i0022-2-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ352-22i−2i2-2002i−2i00-121-2−ii2i−2i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000−i3i300003−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000002-22i−2i2-2002i−2i00-121-2−ii2i−2i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000−i3i300003−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ362-22i−2i2-2002i−2i00-121-2−ii2i−2i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000i3−i30000−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000002-22i−2i2-2002i−2i00-121-2−ii2i−2i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000i3−i30000−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ372-22i−2i2-2002i−2i00-121-2−ii2i−2iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000i3−i30000−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000002-22i−2i2-2002i−2i00-121-2−ii2i−2iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000i3−i30000−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ382-22i−2i2-2002i−2i00-121-2−ii2i−2iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000−i3i300003−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000002-22i−2i2-2002i−2i00-121-2−ii2i−2iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000−i3i300003−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ392-2−2i2i2-200−2i2i0022-2-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-2−2i2i2-200−2i2i0022-2-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ402-2−2i2i2-200−2i2i0022-2-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-2−2i2i2-200−2i2i0022-2-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ412-2−2i2i2-200−2i2i00-121-2i−i−2i2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000i3−i300003−3ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000002-2−2i2i2-200−2i2i00-121-2i−i−2i2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000i3−i300003−3ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ422-2−2i2i2-200−2i2i00-121-2i−i−2i2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000−i3i30000−33−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000002-2−2i2i2-200−2i2i00-121-2i−i−2i2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000−i3i30000−33−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ432-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000−i3i30000−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000002-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000−i3i30000−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ442-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000i3−i300003−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000002-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000i3−i300003−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ45444444444444-2-2-2-2-2-2-2-2-2-2-2-200001111-2-2111100000000000000000000000000444444444444-2-2-2-2-2-2-2-2-2-2-2-200001111-2-2111100000000000000000000000000
χ46444444-4-444-4-4-2-2-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000000000444444-4-444-4-4-2-2-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000000000
χ4744-4-4444i−4i-4-44i−4i-2-2-2-22222−2i−2i2i2i000011-1-1−2i2iii−i−i0000000000000000000000000044-4-4444i−4i-4-44i−4i-2-2-2-22222−2i−2i2i2i000011-1-1−2i2iii−i−i00000000000000000000000000
χ4844-4-444−4i4i-4-4−4i4i-2-2-2-222222i2i−2i−2i000011-1-12i−2i−i−iii0000000000000000000000000044-4-444−4i4i-4-4−4i4i-2-2-2-222222i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000000000
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χ1062-2−2i2i2-200−2i2i00-121-2i−i−2i2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000−i3i30000−33−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000-222i−2i-22002i−2i001-2-12−ii2i−2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231-1−ii00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000i3−i300003−3ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ1072-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000−i3i30000−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000-222i−2i-22002i−2i001-2-12−ii2i−2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231-1−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000i3−i300003−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ1082-2−2i2i2-200−2i2i00-121-2i−i−2i2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000i3−i300003−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000-222i−2i-22002i−2i001-2-12−ii2i−2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231-1−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000−i3i30000−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ109444444444444-2-2-2-2-2-2-2-2-2-2-2-200001111-2-2111100000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-42222222222220000-1-1-1-122-1-1-1-100000000000000000000000000
χ110444444-4-444-4-4-2-2-2-2-2-2-2-222220000111122-1-1-1-100000000000000000000000000-4-4-4-4-4-444-4-44422222222-2-2-2-20000-1-1-1-1-2-2111100000000000000000000000000
χ11144-4-4444i−4i-4-44i−4i-2-2-2-22222−2i−2i2i2i000011-1-1−2i2iii−i−i00000000000000000000000000-4-444-4-4−4i4i44−4i4i2222-2-2-2-22i2i−2i−2i0000-1-1112i−2i−i−iii00000000000000000000000000
χ11244-4-444−4i4i-4-4−4i4i-2-2-2-222222i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000000000-4-444-4-44i−4i444i−4i2222-2-2-2-2−2i−2i2i2i0000-1-111−2i2iii−i−i00000000000000000000000000
χ1134-44i−4i4-4004i−4i004-2-424i−4i−2i2i00000000-22−2i2i00000000000000000000000000000000-44−4i4i-4400−4i4i00-424-2−4i4i2i−2i000000002-22i−2i00000000000000000000000000000000
χ1144-44i−4i4-4004i−4i00-2-222−2i2i−2i2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ1300001-1i−i00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000-44−4i4i-4400−4i4i0022-2-22i−2i2i−2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ1154-44i−4i4-4004i−4i00-2-222−2i2i−2i2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ1300001-1i−i00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000-44−4i4i-4400−4i4i0022-2-22i−2i2i−2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ1164-4−4i4i4-400−4i4i004-2-42−4i4i2i−2i00000000-222i−2i00000000000000000000000000000000-444i−4i-44004i−4i00-424-24i−4i−2i2i000000002-2−2i2i00000000000000000000000000000000
χ1174-4−4i4i4-400−4i4i00-2-2222i−2i2i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2300001-1−ii00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000-444i−4i-44004i−4i0022-2-2−2i2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ1184-4−4i4i4-400−4i4i00-2-2222i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2300001-1−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000-444i−4i-44004i−4i0022-2-2−2i2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000
χ1196666-3-366-3-3-3-300000000000000000000000000020020002200000000-10-10-1-100-6-6-6-633-6-63333000000000000000000000000000-200-2000-2-20000000010101100
χ1206666-3-366-3-3-3-3000000000000000000000000000-200-2000-2-20000000010101100-6-6-6-633-6-6333300000000000000000000000000020020002200000000-10-10-1-100
χ1216666-3-3-6-6-3-3330000000000000000000000000002002000-2-200000000-10-101100-6-6-6-6336633-3-3000000000000000000000000000-200-200022000000001010-1-100
χ1226666-3-3-6-6-3-333000000000000000000000000000-200-200022000000001010-1-100-6-6-6-6336633-3-30000000000000000000000000002002000-2-200000000-10-101100
χ12366-6-6-3-36i−6i33−3i3i000000000000000000000000000200-20002i−2i00000000-1010−ii00-6-66633−6i6i-3-33i−3i000000000000000000000000000-2002000−2i2i0000000010-10i−i00
χ12466-6-6-3-36i−6i33−3i3i000000000000000000000000000-2002000−2i2i0000000010-10i−i00-6-66633−6i6i-3-33i−3i000000000000000000000000000200-20002i−2i00000000-1010−ii00
χ12566-6-6-3-3−6i6i333i−3i000000000000000000000000000200-2000−2i2i00000000-1010i−i00-6-666336i−6i-3-3−3i3i000000000000000000000000000-20020002i−2i0000000010-10−ii00
χ12666-6-6-3-3−6i6i333i−3i000000000000000000000000000-20020002i−2i0000000010-10−ii00-6-666336i−6i-3-3−3i3i000000000000000000000000000200-2000−2i2i00000000-1010i−i00
χ12712-1212i−12i-6600−6i6i000000000000000000000000000000000000000000000000000000-1212−12i12i6-6006i−6i000000000000000000000000000000000000000000000000000000
χ12812-12−12i12i-66006i−6i000000000000000000000000000000000000000000000000000000-121212i−12i6-600−6i6i000000000000000000000000000000000000000000000000000000

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