Finite Group Databasebeta

← Group #11872316

Character table — Group #11872316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12223344444466666612121212223446666666121212121212121212121212121212121212666666121212121212121212122444444466888812121212121212121212121212122424242424242424246612122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-1-1-111-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ9111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1
χ10111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1111-1-11
χ11111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11-111-1-11-1-11
χ12111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-111-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-111-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1111-11-1
χ14111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-111-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-11-11
χ15111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-11-11
χ16111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-111-1-11-11-1
χ1722222222-2-2-2-22222222222002000000222-2-2-2-2-2-22200002222-2-200000000-2-2-2-200002-200-200222000022-2-20000-2-20000000000000000000000
χ1822222222-2-2-2-22222222222002000000222-2-2-2-2-2-22200002222-2-200000000-2-2-2-20000-2200200-2-2-20000-2-2220000220000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-20020000002222222-2-2-2-20000-2-2-2-2-2-200000000-2-22200002-200200-2220000-2-2-2-20000220000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-20020000002222222-2-2-2-20000-2-2-2-2-2-200000000-2-2220000-2200-2002-2-2000022220000-2-20000000000000000000000
χ2122222-1222222-1-12-122-1-1-1-122-1222222-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000222200000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ2222222-1222222-1-12-122-1-1-1-122-1222222-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000000011111111-2-211110000
χ2322222-1222222-1-12-122-1-1-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-111110000000000222200000000000000-1-1-1-1-1-1-1-1-2-211110000
χ2422222-1222222-1-12-122-1-1-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-111110000000000-2-2-2-2000000000000001111111122-1-1-1-10000
χ2522222-1-2-2-2-222-1-12-122111122-1-2-22222-1-1-111-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-111-1-1111111000000000022-2-200000000000000-1-1-1-111112-2-1-1110000
χ2622222-1-2-2-2-222-1-12-122111122-1-2-22222-1-1-111-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-111-1-11111110000000000-2-222000000000000001111-1-1-1-1-2211-1-10000
χ2722222-1-2-2-2-222-1-12-1221111-2-2-122-2-2-2-2-1-1-111-2-222-2-222221111-1-1111111-1-1-1-111-1-1-1-1000000000022-2-200000000000000-1-1-1-11111-2211-1-10000
χ2822222-1-2-2-2-222-1-12-1221111-2-2-122-2-2-2-2-1-1-111-2-222-2-222221111-1-1111111-1-1-1-111-1-1-1-10000000000-2-222000000000000001111-1-1-1-12-2-1-1110000
χ292222-1222222222-12-1-1222222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ302222-1222222222-12-1-1222222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211000011111111111111000000000000000000
χ312222-1222222222-12-1-12222-2-2-1-2-21111-1-1-122-1-1-1-1-1-11111-1-1-1-122-2-21111-2-2-1-1-1-1111122-2-22-2-22-1-10000-1-1-1-11111-1-11111000000000000000000
χ322222-1222222222-12-1-12222-2-2-1-2-21111-1-1-122-1-1-1-1-1-11111-1-1-1-122-2-21111-2-2-1-1-1-11111-2-222-222-21100001111-1-1-1-111-1-1-1-1000000000000000000
χ332222-1222-2-2-2-222-12-1-1222200-100−i3−i3i3i3-1-1-1-2-21111-1-1−i3−i3i3i3-1-1-1-1-2-200−i3−i3i3i3001111−i3−i3i3i32-200-2002-1-10000-1-111−i3−i3i3i311−i3−i3i3i3000000000000000000
χ342222-1222-2-2-2-222-12-1-1222200-100−i3−i3i3i3-1-1-1-2-21111-1-1−i3−i3i3i3-1-1-1-1-2-200−i3−i3i3i3001111−i3−i3i3i3-2200200-211000011-1-1i3i3−i3−i3-1-1i3i3−i3−i3000000000000000000
χ352222-1222-2-2-2-222-12-1-1222200-100i3i3−i3−i3-1-1-1-2-21111-1-1i3i3−i3−i3-1-1-1-1-2-200i3i3−i3−i3001111i3i3−i3−i32-200-2002-1-10000-1-111i3i3−i3−i311i3i3−i3−i3000000000000000000
χ362222-1222-2-2-2-222-12-1-1222200-100i3i3−i3−i3-1-1-1-2-21111-1-1i3i3−i3−i3-1-1-1-1-2-200i3i3−i3−i3001111i3i3−i3−i3-2200200-211000011-1-1−i3−i3i3i3-1-1−i3−i3i3i3000000000000000000
χ372222-12-2-222-2-222-12-1-1-2-2-2-200-100−i3−i3i3i3-1-1-122-1-11111i3i3−i3−i31111-2-200−i3−i3i3i30011-1-1i3i3−i3−i32-200200-2-1-100001111−i3−i3i3i3-1-1i3i3−i3−i3000000000000000000
χ382222-12-2-222-2-222-12-1-1-2-2-2-200-100−i3−i3i3i3-1-1-122-1-11111i3i3−i3−i31111-2-200−i3−i3i3i30011-1-1i3i3−i3−i3-2200-2002110000-1-1-1-1i3i3−i3−i311−i3−i3i3i3000000000000000000
χ392222-12-2-222-2-222-12-1-1-2-2-2-200-100i3i3−i3−i3-1-1-122-1-11111−i3−i3i3i31111-2-200i3i3−i3−i30011-1-1−i3−i3i3i32-200200-2-1-100001111i3i3−i3−i3-1-1−i3−i3i3i3000000000000000000
χ402222-12-2-222-2-222-12-1-1-2-2-2-200-100i3i3−i3−i3-1-1-122-1-11111−i3−i3i3i31111-2-200i3i3−i3−i30011-1-1−i3−i3i3i3-2200-2002110000-1-1-1-1−i3−i3i3i311i3i3−i3−i3000000000000000000
χ412222-12-2-2-2-22222-12-1-1-2-2-2-222-1-2-2-1-1-1-1-1-1-1-2-211-1-111111111112222-1-1-1-1-2-2-1-11111112222-2-2-2-2-1-1000011-1-1-1-1-1-1111111000000000000000000
χ422222-12-2-2-2-22222-12-1-1-2-2-2-222-1-2-2-1-1-1-1-1-1-1-2-211-1-111111111112222-1-1-1-1-2-2-1-1111111-2-2-2-22222110000-1-1111111-1-1-1-1-1-1000000000000000000
χ432222-12-2-2-2-22222-12-1-1-2-2-2-2-2-2-1221111-1-1-1-2-211-1-111-1-1-1-1111122-2-2111122-1-111-1-1-1-122-2-2-222-2-1-1000011-1-1111111-1-1-1-1000000000000000000
χ442222-12-2-2-2-22222-12-1-1-2-2-2-2-2-2-1221111-1-1-1-2-211-1-111-1-1-1-1111122-2-2111122-1-111-1-1-1-1-2-2222-2-22110000-1-111-1-1-1-1-1-11111000000000000000000
χ4522-2-2222i−2i2i−2i2-22-2-2-22-22i2i−2i−2i0020000002-2-22i−2i2i−2i2-22i−2i00002i2i−2i−2i2-2000000002-22i−2i0000002-202i−2i000000000002-22-2002i−2i2i−2i000000000000000000
χ4622-2-2222i−2i2i−2i2-22-2-2-22-22i2i−2i−2i0020000002-2-22i−2i2i−2i2-22i−2i00002i2i−2i−2i2-2000000002-22i−2i000000-220−2i2i00000000000-22-2200−2i2i−2i2i000000000000000000
χ4722-2-2222i−2i−2i2i-222-2-2-22-22i2i−2i−2i2-222i−2i2-22-22-2-2−2i2i−2i2i-222i−2i2i−2i2i−2i2i2i−2i−2i-222-22-22-22i−2i-22−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ4822-2-2222i−2i−2i2i-222-2-2-22-22i2i−2i−2i-222−2i2i-22-222-2-2−2i2i−2i2i-222i−2i−2i2i−2i2i2i2i−2i−2i-22-22-22-22−2i2i-22−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ4922-2-222−2i2i2i−2i-222-2-2-22-2−2i−2i2i2i2-22−2i2i2-22-22-2-22i−2i2i−2i-22−2i2i−2i2i−2i2i−2i−2i2i2i-222-22-22-2−2i2i-222i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ5022-2-222−2i2i2i−2i-222-2-2-22-2−2i−2i2i2i-2222i−2i-22-222-2-22i−2i2i−2i-22−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-22-222i−2i-222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ5122-2-222−2i2i−2i2i2-22-2-2-22-2−2i−2i2i2i0020000002-2-2−2i2i−2i2i2-2−2i2i0000−2i−2i2i2i2-2000000002-2−2i2i0000002-20−2i2i000000000002-22-200−2i2i−2i2i000000000000000000
χ5222-2-222−2i2i−2i2i2-22-2-2-22-2−2i−2i2i2i0020000002-2-2−2i2i−2i2i2-2−2i2i0000−2i−2i2i2i2-2000000002-2−2i2i000000-2202i−2i00000000000-22-22002i−2i2i−2i000000000000000000
χ5322-2-22-12i−2i−2i2i-22-11-212-2−i−iii2-2-12i−2i2-22-2-111i−i−2i2i-222i−2i2i−2i2i−2i−i−iii1-1-11-11-11−ii1-1i−i−ii−ii0000000000000000000000000000−i3−i3i3i333−3−300−i3i33−30000
χ5422-2-22-12i−2i−2i2i-22-11-212-2−i−iii2-2-12i−2i2-22-2-111i−i−2i2i-222i−2i2i−2i2i−2i−i−iii1-1-11-11-11−ii1-1i−i−ii−ii0000000000000000000000000000i3i3−i3−i3−3−33300i3−i3−330000
χ5522-2-22-12i−2i−2i2i-22-11-212-2−i−iii-22-1−2i2i-22-22-111i−i−2i2i-222i−2i−2i2i−2i2i−i−iii1-11-11-11-1i−i1-1i−ii−ii−i0000000000000000000000000000−i3−i3i3i333−3−300i3−i3−330000
χ5622-2-22-12i−2i−2i2i-22-11-212-2−i−iii-22-1−2i2i-22-22-111i−i−2i2i-222i−2i−2i2i−2i2i−i−iii1-11-11-11-1i−i1-1i−ii−ii−i0000000000000000000000000000i3i3−i3−i3−3−33300−i3i33−30000
χ5722-2-22-1−2i2i2i−2i-22-11-212-2ii−i−i2-2-1−2i2i2-22-2-111−ii2i−2i-22−2i2i−2i2i−2i2iii−i−i1-1-11-11-11i−i1-1−iii−ii−i0000000000000000000000000000−i3−i3i3i3−3−33300−i3i3−330000
χ5822-2-22-1−2i2i2i−2i-22-11-212-2ii−i−i2-2-1−2i2i2-22-2-111−ii2i−2i-22−2i2i−2i2i−2i2iii−i−i1-1-11-11-11i−i1-1−iii−ii−i0000000000000000000000000000i3i3−i3−i333−3−300i3−i33−30000
χ5922-2-22-1−2i2i2i−2i-22-11-212-2ii−i−i-22-12i−2i-22-22-111−ii2i−2i-22−2i2i2i−2i2i−2iii−i−i1-11-11-11-1−ii1-1−ii−ii−ii0000000000000000000000000000−i3−i3i3i3−3−33300i3−i33−30000
χ6022-2-22-1−2i2i2i−2i-22-11-212-2ii−i−i-22-12i−2i-22-22-111−ii2i−2i-22−2i2i2i−2i2i−2iii−i−i1-11-11-11-1−ii1-1−ii−ii−ii0000000000000000000000000000i3i3−i3−i333−3−300−i3i3−330000
χ6122-2-2-122i−2i2i−2i2-22-21-2-112i2i−2i−2i00-100−i3i3i3−i3-1112i−2i−ii-11−ii3−3−33−i−iii2-200−i3i3i3−i300-11−ii3−3−33002-202i−2i0−i3i300003−3−i3i3-11-113−3−ii−ii000000000000000000
χ6222-2-2-122i−2i2i−2i2-22-21-2-112i2i−2i−2i00-100−i3i3i3−i3-1112i−2i−ii-11−ii3−3−33−i−iii2-200−i3i3i3−i300-11−ii3−3−3300-220−2i2i0i3−i30000−33i3−i31-11-1−33i−ii−i000000000000000000
χ6322-2-2-122i−2i2i−2i2-22-21-2-112i2i−2i−2i00-100i3−i3−i3i3-1112i−2i−ii-11−ii−333−3−i−iii2-200i3−i3−i3i300-11−ii−333−3002-202i−2i0i3−i30000−33i3−i3-11-11−33−ii−ii000000000000000000
χ6422-2-2-122i−2i2i−2i2-22-21-2-112i2i−2i−2i00-100i3−i3−i3i3-1112i−2i−ii-11−ii−333−3−i−iii2-200i3−i3−i3i300-11−ii−333−300-220−2i2i0−i3i300003−3−i3i31-11-13−3i−ii−i000000000000000000
χ6522-2-2-122i−2i−2i2i-222-21-2-112i2i−2i−2i2-2-12i−2i-11-11-111−2i2ii−i1-1−ii−ii−ii−i−iii-222-2-11-112i−2i1-1i−i−ii−ii00000000−i3i300003−3i3−i3−i3i3i3−i3−333−3−33000000000000000000
χ6622-2-2-122i−2i−2i2i-222-21-2-112i2i−2i−2i2-2-12i−2i-11-11-111−2i2ii−i1-1−ii−ii−ii−i−iii-222-2-11-112i−2i1-1i−i−ii−ii00000000i3−i30000−33−i3i3i3−i3−i3i33−3−333−3000000000000000000
χ6722-2-2-122i−2i−2i2i-222-21-2-112i2i−2i−2i-22-1−2i2i1-11-1-111−2i2ii−i1-1−iii−ii−i−i−iii-22-221-11-1−2i2i1-1i−ii−ii−i00000000−i3i300003−3i3−i3i3−i3−i3i3−33−333−3000000000000000000
χ6822-2-2-122i−2i−2i2i-222-21-2-112i2i−2i−2i-22-1−2i2i1-11-1-111−2i2ii−i1-1−iii−ii−i−i−iii-22-221-11-1−2i2i1-1i−ii−ii−i00000000i3−i30000−33−i3i3−i3i3i3−i33−33−3−33000000000000000000
χ6922-2-2-12−2i2i2i−2i-222-21-2-11−2i−2i2i2i2-2-1−2i2i-11-11-1112i−2i−ii1-1i−ii−ii−iii−i−i-222-2-11-11−2i2i1-1−iii−ii−i00000000−i3i30000−33i3−i3−i3i3i3−i33−3−333−3000000000000000000
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χ7122-2-2-12−2i2i2i−2i-222-21-2-11−2i−2i2i2i-22-12i−2i1-11-1-1112i−2i−ii1-1i−i−ii−iiii−i−i-22-221-11-12i−2i1-1−ii−ii−ii00000000−i3i30000−33i3−i3i3−i3−i3i33−33−3−33000000000000000000
χ7222-2-2-12−2i2i2i−2i-222-21-2-11−2i−2i2i2i-22-12i−2i1-11-1-1112i−2i−ii1-1i−i−ii−iiii−i−i-22-221-11-12i−2i1-1−ii−ii−ii00000000i3−i300003−3−i3i3−i3i3i3−i3−33−333−3000000000000000000
χ7322-2-2-12−2i2i−2i2i2-22-21-2-11−2i−2i2i2i00-100−i3i3i3−i3-111−2i2ii−i-11i−i−333−3ii−i−i2-200−i3i3i3−i300-11i−i−333−3002-20−2i2i0−i3i30000−33−i3i3-11-11−33i−ii−i000000000000000000
χ7422-2-2-12−2i2i−2i2i2-22-21-2-11−2i−2i2i2i00-100−i3i3i3−i3-111−2i2ii−i-11i−i−333−3ii−i−i2-200−i3i3i3−i300-11i−i−333−300-2202i−2i0i3−i300003−3i3−i31-11-13−3−ii−ii000000000000000000
χ7522-2-2-12−2i2i−2i2i2-22-21-2-11−2i−2i2i2i00-100i3−i3−i3i3-111−2i2ii−i-11i−i3−3−33ii−i−i2-200i3−i3−i3i300-11i−i3−3−33002-20−2i2i0i3−i300003−3i3−i3-11-113−3i−ii−i000000000000000000
χ7622-2-2-12−2i2i−2i2i2-22-21-2-11−2i−2i2i2i00-100i3−i3−i3i3-111−2i2ii−i-11i−i3−3−33ii−i−i2-200i3−i3−i3i300-11i−i3−3−3300-2202i−2i0−i3i30000−33−i3i31-11-1−33−ii−ii000000000000000000
χ7744444-244-4-4-4-4-2-24-244-2-2-2-200-2000000-2-2-222-4-4-4-4440000-2-2-2-22200000000222200000000000000000000000000000000000000000000000000
χ7844444-2-4-444-4-4-2-24-244222200-2000000-2-2-2-2-244-4-4-4-400002222220000000022-2-200000000000000000000000000000000000000000000000000
χ794444-2-2444444-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2111111110000000000000000000000000000000000000000000000
χ804444-2-2444444-2-2-2-2-2-2-2-2-2-2-4-41-4-42222111-2-2-2-2-2-2-2-222221111-2-222-1-1-1-1221111-1-1-1-10000000000000000000000000000000000000000000000
χ814444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-200100−2i3−2i32i32i3111222222-2-2−2i3−2i32i32i311112200i3i3−i3−i300-1-1-1-1i3i3−i3−i30000000000000000000000000000000000000000000000
χ824444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2001002i32i3−2i3−2i3111222222-2-22i32i3−2i3−2i311112200−i3−i3i3i300-1-1-1-1−i3−i3i3i30000000000000000000000000000000000000000000000
χ834444-2-2-4-444-4-4-2-2-2-2-2-2222200100−2i3−2i32i32i3111-2-2-2-222222i32i3−2i3−2i3-1-1-1-12200i3i3−i3−i300-1-111−i3−i3i3i30000000000000000000000000000000000000000000000
χ844444-2-2-4-444-4-4-2-2-2-2-2-22222001002i32i3−2i3−2i3111-2-2-2-22222−2i3−2i32i32i3-1-1-1-12200−i3−i3i3i300-1-111i3i3−i3−i30000000000000000000000000000000000000000000000
χ854444-2-2-4-4-4-444-2-2-2-2-2-22222441-4-4-2-2-2-21112222-2-2222222-1-1-1-1-2-2-2-211112211-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ864444-2-2-4-4-4-444-2-2-2-2-2-22222-4-414422221112222-2-222-2-2-2-2-1-1-1-1-2-222-1-1-1-1-2-211-1-111110000000000000000000000000000000000000000000000
χ8744-4-44-24i−4i4i−4i4-4-22-424-4−2i−2i2i2i00-2000000-222−2i2i4i−4i4-44i−4i0000−2i−2i2i2i-2200000000-22−2i2i00000000000000000000000000000000000000000000000000
χ8844-4-44-2−4i4i−4i4i4-4-22-424-42i2i−2i−2i00-2000000-2222i−2i−4i4i4-4−4i4i00002i2i−2i−2i-2200000000-222i−2i00000000000000000000000000000000000000000000000000
χ8944-4-4-2-24i−4i4i−4i4-4-2222-22−2i−2i2i2i00100−2i32i32i3−2i31-1-1−2i2i−2i2i-22−2i2i23−23−2323ii−i−i-2200i3−i3−i3i3001-1i−i−333−30000000000000000000000000000000000000000000000
χ9044-4-4-2-24i−4i4i−4i4-4-2222-22−2i−2i2i2i001002i3−2i3−2i32i31-1-1−2i2i−2i2i-22−2i2i−232323−23ii−i−i-2200−i3i3i3−i3001-1i−i3−3−330000000000000000000000000000000000000000000000
χ9144-4-4-2-24i−4i−4i4i-44-2222-22−2i−2i2i2i4-414i−4i-22-221-1-12i−2i2i−2i2-2−2i2i−2i2i−2i2iii−i−i2-2-221-11-1−2i2i-11−iii−ii−i0000000000000000000000000000000000000000000000
χ9244-4-4-2-24i−4i−4i4i-44-2222-22−2i−2i2i2i-441−4i4i2-22-21-1-12i−2i2i−2i2-2−2i2i2i−2i2i−2iii−i−i2-22-2-11-112i−2i-11−ii−ii−ii0000000000000000000000000000000000000000000000
χ9344-4-4-2-2−4i4i4i−4i-44-2222-222i2i−2i−2i4-41−4i4i-22-221-1-1−2i2i−2i2i2-22i−2i2i−2i2i−2i−i−iii2-2-221-11-12i−2i-11i−i−ii−ii0000000000000000000000000000000000000000000000
χ9444-4-4-2-2−4i4i4i−4i-44-2222-222i2i−2i−2i-4414i−4i2-22-21-1-1−2i2i−2i2i2-22i−2i−2i2i−2i2i−i−iii2-22-2-11-11−2i2i-11i−ii−ii−i0000000000000000000000000000000000000000000000
χ9544-4-4-2-2−4i4i−4i4i4-4-2222-222i2i−2i−2i00100−2i32i32i3−2i31-1-12i−2i2i−2i-222i−2i−232323−23−i−iii-2200i3−i3−i3i3001-1−ii3−3−330000000000000000000000000000000000000000000000
χ9644-4-4-2-2−4i4i−4i4i4-4-2222-222i2i−2i−2i001002i3−2i3−2i32i31-1-12i−2i2i−2i-222i−2i23−23−2323−i−iii-2200−i3i3i3−i3001-1−ii−333−30000000000000000000000000000000000000000000000
χ974-44-444000000-4-4-44-440000004000000-4-440000000000000000000000000000000000000000000022−22000000000000000022−2222−2200000000000000
χ984-44-444000000-4-4-44-440000004000000-4-4400000000000000000000000000000000000000000000−22220000000000000000−2222−222200000000000000
χ994-44-44-200000022-4-2-44−2i32i3−2i32i300-200000022-2000000000000−2i32i3−2i32i3000000000000000000000000000022−220000000000000000−22−22i6−i6i6−i60000000000
χ1004-44-44-200000022-4-2-44−2i32i3−2i32i300-200000022-2000000000000−2i32i3−2i32i30000000000000000000000000000−222200000000000000002−22−2−i6i6−i6i60000000000
χ1014-44-44-200000022-4-2-442i3−2i32i3−2i300-200000022-20000000000002i3−2i32i3−2i3000000000000000000000000000022−220000000000000000−22−22−i6i6−i6i60000000000
χ1024-44-44-200000022-4-2-442i3−2i32i3−2i300-200000022-20000000000002i3−2i32i3−2i30000000000000000000000000000−222200000000000000002−22−2i6−i6i6−i60000000000
χ1034-4-4444000000-444-4-4-40000004000000-44-40000000000000000000000000000000000000000000000−2i22i2000000000000000000−2i22i22i2−2i20000000000
χ1044-4-4444000000-444-4-4-40000004000000-44-400000000000000000000000000000000000000000000002i2−2i20000000000000000002i2−2i2−2i22i20000000000
χ1054-4-444-20000002-242-4-423−23−232300-20000002-2200000000000023−23−2323000000000000000000000000000000−2i22i200000000000000−i6i6i6−i6i2−i2−i2i20000000000
χ1064-4-444-20000002-242-4-423−23−232300-20000002-2200000000000023−23−23230000000000000000000000000000002i2−2i200000000000000i6−i6−i6i6−i2i2i2−i20000000000
χ1074-4-444-20000002-242-4-4−232323−2300-20000002-22000000000000−232323−23000000000000000000000000000000−2i22i200000000000000i6−i6−i6i6i2−i2−i2i20000000000
χ1084-4-444-20000002-242-4-4−232323−2300-20000002-22000000000000−232323−230000000000000000000000000000002i2−2i200000000000000−i6i6i6−i6−i2i2i2−i20000000000
χ1098-88-8-48000000-8-8484-4000000-400000044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4000000444-44-4−4i34i3−4i34i3002000000-2-220000000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4000000444-44-44i3−4i34i3−4i3002000000-2-22000000000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48000000-88-4-844000000-40000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-40000004-4-444443−43−4343002000000-22-2000000000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-40000004-4-4444−434343−43002000000-22-200000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).