Finite Group Databasebeta

← Group #13154884

Character table — Group #13154884

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122444444444444881212121212121212121212121818242424242424363636363611112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order12224433666666121212121212888824242424242424242244121212124444436661212336666661212121212122424242424242424242424246612121212121212121212123666121233666666121212121212242424242424242424242424661212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-11-111-1-11ii−i−i1111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-11-111-1-11ii−i−i1111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-11-111-1-11ii−i−i
χ61111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-11-1-1111−i−iii1111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-11-1-1111−i−iii1111-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-11-1-1111−i−iii
χ71111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-11-111-1-11−i−iii1111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-11-111-1-11−i−iii1111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-11-111-1-11−i−iii
χ81111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-11-1-1111ii−i−i1111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-11-1-1111ii−i−i1111-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-11-1-1111ii−i−i
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-222222222-2-2-2-2-2-200000000000022000000-200002222-2-222222222-2-2-2-2-2-200000000000022000000-200002222-2-222222222-2-2-2-2-2-200000000000022000000-20000
χ1122-2-2002222-2-2-2-20000002−22−222−2−222−2−22-20000000000022-2-2002222-2-2-2-20000002−22−222−2−222−2−22-20000000000022-2-2002222-2-2-2-20000002−22−222−2−222−2−22-200000000000
χ1222-2-2002222-2-2-2-2000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-220000000000022-2-2002222-2-2-2-2000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-220000000000022-2-2002222-2-2-2-2000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-2200000000000
χ1322-2-2002222-2-2-2-2000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-220000000000022-2-2002222-2-2-2-2000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-220000000000022-2-2002222-2-2-2-2000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-2200000000000
χ1422-2-2002222-2-2-2-2000000−22−22−2−222−2−2222-20000000000022-2-2002222-2-2-2-2000000−22−22−2−222−2−2222-20000000000022-2-2002222-2-2-2-2000000−22−22−2−222−2−2222-200000000000
χ152-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i0000000000000000000001+i−1−i1−i−1+i2-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i0000000000000000000001+i−1−i1−i−1+i2-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i0000000000000000000001+i−1−i1−i−1+i
χ162-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i000000000000000000000−1−i1+i−1+i1−i2-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i000000000000000000000−1−i1+i−1+i1−i2-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i000000000000000000000−1−i1+i−1+i1−i
χ172-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i0000000000000000000001−i−1+i1+i−1−i2-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i0000000000000000000001−i−1+i1+i−1−i2-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i0000000000000000000001−i−1+i1+i−1−i
χ182-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i000000000000000000000−1+i1−i−1−i1+i2-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i000000000000000000000−1+i1−i−1−i1+i2-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i000000000000000000000−1+i1−i−1−i1+i
χ194444441-21-211-2-21111-2-22222-1-1-1-1-1-1-1-100000000000004444441-21-211-2-21111-2-22222-1-1-1-1-1-1-1-100000000000004444441-21-211-2-21111-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-21-211-2-21111-2-2-2-2-2-21111111100000000000004444441-21-211-2-21111-2-2-2-2-2-21111111100000000000004444441-21-211-2-21111-2-2-2-2-2-2111111110000000000000
χ21444444-21-21-2-211-2-2-2-2110000000000000022-1-1-1-100000444444-21-21-2-211-2-2-2-2110000000000000022-1-1-1-100000444444-21-21-2-211-2-2-2-2110000000000000022-1-1-1-100000
χ22444444-21-21-2-211-2-2-2-21100000000000000-2-2111100000444444-21-21-2-211-2-2-2-21100000000000000-2-2111100000444444-21-21-2-211-2-2-2-21100000000000000-2-2111100000
χ234444-4-41-21-211-2-2-1-1-1-1222i2i−2i−2i−i−i−i−iiiii00000000000004444-4-41-21-211-2-2-1-1-1-1222i2i−2i−2i−i−i−i−iiiii00000000000004444-4-41-21-211-2-2-1-1-1-1222i2i−2i−2i−i−i−i−iiiii0000000000000
χ244444-4-41-21-211-2-2-1-1-1-122−2i−2i2i2iiiii−i−i−i−i00000000000004444-4-41-21-211-2-2-1-1-1-122−2i−2i2i2iiiii−i−i−i−i00000000000004444-4-41-21-211-2-2-1-1-1-122−2i−2i2i2iiiii−i−i−i−i0000000000000
χ254444-4-4-21-21-2-2112222-1-1000000000000002-2-1-111000004444-4-4-21-21-2-2112222-1-1000000000000002-2-1-111000004444-4-4-21-21-2-2112222-1-1000000000000002-2-1-11100000
χ264444-4-4-21-21-2-2112222-1-100000000000000-2211-1-1000004444-4-4-21-21-2-2112222-1-100000000000000-2211-1-1000004444-4-4-21-21-2-2112222-1-100000000000000-2211-1-100000
χ2744-4-4001-21-2-1-1223i−3i−3i3i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000044-4-4001-21-2-1-1223i−3i−3i3i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000044-4-4001-21-2-1-1223i−3i−3i3i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000
χ2844-4-4001-21-2-1-1223i−3i−3i3i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000044-4-4001-21-2-1-1223i−3i−3i3i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000044-4-4001-21-2-1-1223i−3i−3i3i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000
χ2944-4-4001-21-2-1-122−3i3i3i−3i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000044-4-4001-21-2-1-122−3i3i3i−3i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000044-4-4001-21-2-1-122−3i3i3i−3i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000000000000
χ3044-4-4001-21-2-1-122−3i3i3i−3i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000044-4-4001-21-2-1-122−3i3i3i−3i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000044-4-4001-21-2-1-122−3i3i3i−3i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000000
χ314-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000004-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000004-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000
χ324-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000004-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000004-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000
χ334-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000−i3i33−3000004-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000−i3i33−3000004-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000−i3i33−300000
χ344-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000i3−i3−33000004-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000i3−i3−33000004-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000i3−i3−3300000
χ354-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000004-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000004-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000
χ364-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000004-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000004-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000
χ374-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000−i3i3−33000004-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000−i3i3−33000004-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000−i3i3−3300000
χ384-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000i3−i33−3000004-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000i3−i33−3000004-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000i3−i33−300000
χ394-4-44001-2-12-112-233-3-3000000−i3i3i3−i3i3−i3−i3i300000000000004-4-44001-2-12-112-233-3-3000000−i3i3i3−i3i3−i3−i3i300000000000004-4-44001-2-12-112-233-3-3000000−i3i3i3−i3i3−i3−i3i30000000000000
χ404-4-44001-2-12-112-233-3-3000000i3−i3−i3i3−i3i3i3−i300000000000004-4-44001-2-12-112-233-3-3000000i3−i3−i3i3−i3i3i3−i300000000000004-4-44001-2-12-112-233-3-3000000i3−i3−i3i3−i3i3i3−i30000000000000
χ414-4-44001-2-12-112-2-3-3330000003−3−333−3−3300000000000004-4-44001-2-12-112-2-3-3330000003−3−333−3−3300000000000004-4-44001-2-12-112-2-3-3330000003−3−333−3−330000000000000
χ424-4-44001-2-12-112-2-3-333000000−333−3−333−300000000000004-4-44001-2-12-112-2-3-333000000−333−3−333−300000000000004-4-44001-2-12-112-2-3-333000000−333−3−333−30000000000000
χ434-4-440044-4-4-44-4400000000000000000000000000000004-4-440044-4-4-44-4400000000000000000000000000000004-4-440044-4-4-44-440000000000000000000000000000000
χ4488-8-800-42-4244-2-2000000000000000000000000000000088-8-800-42-4244-2-2000000000000000000000000000000088-8-800-42-4244-2-20000000000000000000000000000000
χ458-8-8800-424-24-4-2200000000000000000000000000000008-8-8800-424-24-4-2200000000000000000000000000000008-8-8800-424-24-4-220000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1−1+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+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+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−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−i321+i321+i321+i321+i32
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χ9922222222222222222222000000000000-2-2000000-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000000001+i31+i30000001+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000000001−i31−i30000001−i30000
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χ10122-2-2002222-2-2-2-20000002−22−222−2−222−2−22-200000000000−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i300000000000−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i300000000000
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χ1224-44-44i−4i1-2-121-1-22i−ii−i−2i2i0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i32−1−i3−1−i321+i321+i3−1−i3ζ22−ζ22ζ22−ζ22−2ζ222ζ220000ζ7+2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ132ζ5+ζ13−2ζ5−ζ130000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i32−1+i3−1+i321−i321−i3−1+i3ζ14−ζ14ζ14−ζ14−2ζ142ζ140000−2ζ7−ζ232ζ7+ζ23−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13−ζ5−2ζ13ζ5+2ζ130000000000000
χ1234-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000−i3i33−300000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i321+i3−1−i3−1−i321+i32−2ζ222ζ22−2ζ222ζ22ζ22−ζ220000000000000000−3+i323−i322ζ14+ζ22−2ζ14−ζ2200000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i321−i3−1+i3−1+i321−i32−2ζ142ζ14−2ζ142ζ14ζ14−ζ1400000000000000003+i32−3−i32−ζ14−2ζ22ζ14+2ζ2200000
χ1244-44-44i−4i-212-1-221-1−2i2i−2i2ii−i0000000000000000i3−i3−3300000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i321+i3−1−i3−1−i321+i32−2ζ222ζ22−2ζ222ζ22ζ22−ζ2200000000000000003−i32−3+i32−2ζ14−ζ222ζ14+ζ2200000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i321−i3−1+i3−1+i321−i32−2ζ142ζ14−2ζ142ζ14ζ14−ζ140000000000000000−3−i323+i32ζ14+2ζ22−ζ14−2ζ2200000
χ1254-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−1−i321+i321+i3−1−i3−ζ22ζ22−ζ22ζ222ζ22−2ζ220000−2ζ5−ζ132ζ5+ζ13−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23−ζ7−2ζ23ζ7+2ζ230000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−1+i321−i321−i3−1+i3−ζ14ζ14−ζ14ζ142ζ14−2ζ140000ζ5+2ζ13−ζ5−2ζ13ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ232ζ7+ζ23−2ζ7−ζ230000000000000
χ1264-44-4−4i4i1-2-121-1-22−ii−ii2i−2i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−1−i321+i321+i3−1−i3−ζ22ζ22−ζ22ζ222ζ22−2ζ2200002ζ5+ζ13−2ζ5−ζ132ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ7−2ζ230000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−1+i321−i321−i3−1+i3−ζ14ζ14−ζ14ζ142ζ14−2ζ140000−ζ5−2ζ13ζ5+2ζ13−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23−2ζ7−ζ232ζ7+ζ230000000000000
χ1274-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000−i3i3−3300000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i321+i3−1−i3−1−i321+i322ζ22−2ζ222ζ22−2ζ22−ζ22ζ220000000000000000−3+i323−i32−2ζ14−ζ222ζ14+ζ2200000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i321−i3−1+i3−1+i321−i322ζ14−2ζ142ζ14−2ζ14−ζ14ζ1400000000000000003+i32−3−i32ζ14+2ζ22−ζ14−2ζ2200000
χ1284-44-4−4i4i-212-1-221-12i−2i2i−2i−ii0000000000000000i3−i33−300000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i321+i3−1−i3−1−i321+i322ζ22−2ζ222ζ22−2ζ22−ζ22ζ2200000000000000003−i32−3+i322ζ14+ζ22−2ζ14−ζ2200000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i321−i3−1+i3−1+i321−i322ζ14−2ζ142ζ14−2ζ14−ζ14ζ140000000000000000−3−i323+i32−ζ14−2ζ22ζ14+2ζ2200000
χ1294-4-44001-2-12-112-233-3-3000000−i3i3i3−i3i3−i3−i3i30000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i32−1−i31+i3−3−3i32−3−3i323+3i323+3i32000000−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i320000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i32−1+i31−i3−3+3i32−3+3i323−3i323−3i320000003+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i320000000000000
χ1304-4-44001-2-12-112-233-3-3000000i3−i3−i3i3−i3i3i3−i30000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i32−1−i31+i3−3−3i32−3−3i323+3i323+3i320000003−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i320000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i32−1+i31−i3−3+3i32−3+3i323−3i323−3i32000000−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i320000000000000
χ1314-4-44001-2-12-112-2-3-3330000003−3−333−3−330000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i32−1−i31+i33+3i323+3i32−3−3i32−3−3i320000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i32−1+i31−i33−3i323−3i32−3+3i32−3+3i32000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ1324-4-44001-2-12-112-2-3-333000000−333−3−333−30000000000000−2−2i32+2i32+2i3−2−2i300−1−i321+i31+i32−1−i31+i32−1−i32−1−i31+i33+3i323+3i32−3−3i32−3−3i32000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i32−2i32−2i3−2+2i300−1+i321−i31−i32−1+i31−i32−1+i32−1+i31−i33−3i323−3i32−3+3i32−3+3i32000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ1334-4-440044-4-4-44-440000000000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i3−2−2i30000000000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i3−2+2i30000000000000000000000000000000
χ13488-8-800-42-4244-2-20000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i32+2i3−1−i3−2−2i3−2−2i31+i31+i30000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i32−2i3−1+i3−2+2i3−2+2i31−i31−i30000000000000000000000000000000
χ1358-8-8800-424-24-4-220000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−1−i3−2−2i31+i3−2−2i32+2i31+i3−1−i30000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−1+i3−2+2i31−i3−2+2i32−2i31−i3−1+i30000000000000000000000000000000

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