Finite Group Databasebeta

← Group #13147914

Character table — Group #13147914

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12223444444666121212121212336666661212121212121212121212122222366612121212121212121212121212121212121244444466661212121212121212121212122244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11-1-1-1111
χ51111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-1111-1-11-1-1
χ61111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-111
χ71111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111
χ81111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-1
χ911111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-11-111-11-1-11-1
χ1011111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-11-1-11-111-11
χ1111111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-11-111-1-11-11-11
χ1211111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-11-11-1-111-11-11-1
χ1311111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-11-1-11
χ1411111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-111-111-1
χ1511111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-11-1-1-1111-1
χ1611111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-1111-1-1-11
χ17222222222222222222222-1222-1-1-12222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000020002220-1000-1-1-1
χ18222222222222222222222-1222-1-1-12222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000-2000-2-2-201000111
χ1922222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ212222222-2-2-2-222222-2-2-2-22-1222-1-1-12222-2-2-2-2-2-2-2-20000-1-1-1-1-1-11111-1-1-1-1111111110000000000000000000000020002-2-20-1000-111
χ222222222-2-2-2-222222-2-2-2-22-1222-1-1-12222-2-2-2-2-2-2-2-20000-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000-2000-222010001-1-1
χ232222222-2-2-2-222222-2-2-2-2-12-1-1-1222-1-1-1-1111111112222-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222-2-2-2-222222-2-2-2-2-12-1-1-1222-1-1-1-111111111-2-2-2-2-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-222-2-2222-2-222-2-22-1222-1-1-1-2-2-2-22222-2-2-2-20000-1-1-1-111-1-1111111-1-1-1-11111000000000000000000000002000-22-20-10001-11
χ2622222-2-222-2-2222-2-222-2-22-1222-1-1-1-2-2-2-22222-2-2-2-20000-1-1-1-111-1-1111111-1-1-1-1111100000000000000000000000-20002-2201000-11-1
χ2722222-2-222-2-2222-2-222-2-2-12-1-1-12221111-1-1-1-111112222-1-1-1-1-2-222-2-21111-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2822222-2-222-2-2222-2-222-2-2-12-1-1-12221111-1-1-1-11111-2-2-2-2-1-1-1-1-2-222-2-21111-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2922222-2-2-2-222222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-2-222220000-1-1-1-11111-1-111111111-1-1-1-1000000000000000000000002000-2-220-100011-1
χ3022222-2-2-2-222222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-2-222220000-1-1-1-11111-1-111111111-1-1-1-100000000000000000000000-200022-201000-1-11
χ3122222-2-2-2-222222-2-2-2-222-12-1-1-122211111111-1-1-1-12222-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3222222-2-2-2-222222-2-2-2-222-12-1-1-122211111111-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-22211111111-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
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χ3422-2-2200002i−2i2-2-200002i−2i222-2-22-2-2000000002i2i−2i−2i-2-22222-2-200002i−2i000000002i2i−2i−2i0000−2i2i-2-22200000000−2i−2i2i2i0000000000000000
χ3522-2-2200002i−2i2-2-200002i−2i-12-1112-2-2−i3−i3i3i333−3−3−i−iii22-2-2-1-11100002i−2i−i3−i3i3i333−3−3−i−iii00002i−2i-1-111−i3−i3i3i333−3−3−i−iii0000000000000000
χ3622-2-2200002i−2i2-2-200002i−2i-12-1112-2-2−i3−i3i3i333−3−3−i−iii-2-222-1-11100002i−2i−i3−i3i3i333−3−3−i−iii0000−2i2i11-1-1i3i3−i3−i3−3−333ii−i−i0000000000000000
χ3722-2-2200002i−2i2-2-200002i−2i-12-1112-2-2i3i3−i3−i3−3−333−i−iii22-2-2-1-11100002i−2ii3i3−i3−i3−3−333−i−iii00002i−2i-1-111i3i3−i3−i3−3−333−i−iii0000000000000000
χ3822-2-2200002i−2i2-2-200002i−2i-12-1112-2-2i3i3−i3−i3−3−333−i−iii-2-222-1-11100002i−2ii3i3−i3−i3−3−333−i−iii0000−2i2i11-1-1−i3−i3i3i333−3−3ii−i−i0000000000000000
χ3922-2-220000−2i2i2-2-20000−2i2i222-2-22-2-200000000−2i−2i2i2i22-2-222-2-20000−2i2i00000000−2i−2i2i2i0000−2i2i22-2-200000000−2i−2i2i2i0000000000000000
χ4022-2-220000−2i2i2-2-20000−2i2i222-2-22-2-200000000−2i−2i2i2i-2-22222-2-20000−2i2i00000000−2i−2i2i2i00002i−2i-2-222000000002i2i−2i−2i0000000000000000
χ4122-2-220000−2i2i2-2-20000−2i2i-12-1112-2-2−i3−i3i3i3−3−333ii−i−i22-2-2-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i0000−2i2i-1-111−i3−i3i3i3−3−333ii−i−i0000000000000000
χ4222-2-220000−2i2i2-2-20000−2i2i-12-1112-2-2−i3−i3i3i3−3−333ii−i−i-2-222-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i00002i−2i11-1-1i3i3−i3−i333−3−3−i−iii0000000000000000
χ4322-2-220000−2i2i2-2-20000−2i2i-12-1112-2-2i3i3−i3−i333−3−3ii−i−i22-2-2-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i0000−2i2i-1-111i3i3−i3−i333−3−3ii−i−i0000000000000000
χ4422-2-220000−2i2i2-2-20000−2i2i-12-1112-2-2i3i3−i3−i333−3−3ii−i−i-2-222-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i00002i−2i11-1-1−i3−i3i3i3−3−333−i−iii0000000000000000
χ452-22-22002i−2i00-22-2002i−2i0022-22-2-22-200002i−2i2i−2i00002-22-22-22-2002i−2i0000002i−2i2i−2i0000002i−2i002-22-200002i−2i2i−2i00000000000000000000
χ462-22-22002i−2i00-22-2002i−2i0022-22-2-22-200002i−2i2i−2i0000-22-222-22-2002i−2i0000002i−2i2i−2i000000−2i2i00-22-220000−2i2i−2i2i00000000000000000000
χ472-22-22002i−2i00-22-2002i−2i00-121-11-22-23−33−3−ii−ii−i3i3−i3i32-22-2-11-11002i−2i003−33−3−ii−ii−i3i3−i3i3002i−2i00-11-113−33−3−ii−ii−i3i3−i3i30000000000000000
χ482-22-22002i−2i00-22-2002i−2i00-121-11-22-23−33−3−ii−ii−i3i3−i3i3-22-22-11-11002i−2i003−33−3−ii−ii−i3i3−i3i300−2i2i001-11-1−33−33i−ii−ii3−i3i3−i30000000000000000
χ492-22-22002i−2i00-22-2002i−2i00-121-11-22-2−33−33−ii−iii3−i3i3−i32-22-2-11-11002i−2i00−33−33−ii−iii3−i3i3−i3002i−2i00-11-11−33−33−ii−iii3−i3i3−i30000000000000000
χ502-22-22002i−2i00-22-2002i−2i00-121-11-22-2−33−33−ii−iii3−i3i3−i3-22-22-11-11002i−2i00−33−33−ii−iii3−i3i3−i300−2i2i001-11-13−33−3i−ii−i−i3i3−i3i30000000000000000
χ512-22-2200−2i2i00-22-200−2i2i0022-22-2-22-20000−2i2i−2i2i00002-22-22-22-200−2i2i000000−2i2i−2i2i000000−2i2i002-22-20000−2i2i−2i2i00000000000000000000
χ522-22-2200−2i2i00-22-200−2i2i0022-22-2-22-20000−2i2i−2i2i0000-22-222-22-200−2i2i000000−2i2i−2i2i0000002i−2i00-22-2200002i−2i2i−2i00000000000000000000
χ532-22-2200−2i2i00-22-200−2i2i00-121-11-22-23−33−3i−ii−ii3−i3i3−i32-22-2-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i300−2i2i00-11-113−33−3i−ii−ii3−i3i3−i30000000000000000
χ542-22-2200−2i2i00-22-200−2i2i00-121-11-22-23−33−3i−ii−ii3−i3i3−i3-22-22-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i3002i−2i001-11-1−33−33−ii−ii−i3i3−i3i30000000000000000
χ552-22-2200−2i2i00-22-200−2i2i00-121-11-22-2−33−33i−ii−i−i3i3−i3i32-22-2-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i300−2i2i00-11-11−33−33i−ii−i−i3i3−i3i30000000000000000
χ562-22-2200−2i2i00-22-200−2i2i00-121-11-22-2−33−33i−ii−i−i3i3−i3i3-22-22-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i3002i−2i001-11-13−33−3−ii−iii3−i3i3−i30000000000000000
χ572-2-2222i−2i0000-2-222i−2i000022-2-22-2-222i−2i−2i2i000000002-2-222-2-222i−2i00002i−2i−2i2i000000002i−2i00002-2-222i−2i−2i2i000000000000000000000000
χ582-2-2222i−2i0000-2-222i−2i000022-2-22-2-222i−2i−2i2i00000000-222-22-2-222i−2i00002i−2i−2i2i00000000−2i2i0000-222-2−2i2i2i−2i000000000000000000000000
χ592-2-2222i−2i0000-2-222i−2i0000-1211-1-2-22−iii−i−i3i3i3−i3−333−32-2-22-111-12i−2i0000−iii−i−i3i3i3−i3−333−32i−2i0000-111-1−iii−i−i3i3i3−i3−333−30000000000000000
χ602-2-2222i−2i0000-2-222i−2i0000-1211-1-2-22−iii−i−i3i3i3−i3−333−3-222-2-111-12i−2i0000−iii−i−i3i3i3−i3−333−3−2i2i00001-1-11i−i−iii3−i3−i3i33−3−330000000000000000
χ612-2-2222i−2i0000-2-222i−2i0000-1211-1-2-22−iii−ii3−i3−i3i33−3−332-2-22-111-12i−2i0000−iii−ii3−i3−i3i33−3−332i−2i0000-111-1−iii−ii3−i3−i3i33−3−330000000000000000
χ622-2-2222i−2i0000-2-222i−2i0000-1211-1-2-22−iii−ii3−i3−i3i33−3−33-222-2-111-12i−2i0000−iii−ii3−i3−i3i33−3−33−2i2i00001-1-11i−i−ii−i3i3i3−i3−333−30000000000000000
χ632-2-222−2i2i0000-2-22−2i2i000022-2-22-2-22−2i2i2i−2i000000002-2-222-2-22−2i2i0000−2i2i2i−2i00000000−2i2i00002-2-22−2i2i2i−2i000000000000000000000000
χ642-2-222−2i2i0000-2-22−2i2i000022-2-22-2-22−2i2i2i−2i00000000-222-22-2-22−2i2i0000−2i2i2i−2i000000002i−2i0000-222-22i−2i−2i2i000000000000000000000000
χ652-2-222−2i2i0000-2-22−2i2i0000-1211-1-2-22i−i−ii−i3i3i3−i33−3−332-2-22-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−33−2i2i0000-111-1i−i−ii−i3i3i3−i33−3−330000000000000000
χ662-2-222−2i2i0000-2-22−2i2i0000-1211-1-2-22i−i−ii−i3i3i3−i33−3−33-222-2-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−332i−2i00001-1-11−iii−ii3−i3−i3i3−333−30000000000000000
χ672-2-222−2i2i0000-2-22−2i2i0000-1211-1-2-22i−i−iii3−i3−i3i3−333−32-2-22-111-1−2i2i0000i−i−iii3−i3−i3i3−333−3−2i2i0000-111-1i−i−iii3−i3−i3i3−333−30000000000000000
χ682-2-222−2i2i0000-2-22−2i2i0000-1211-1-2-22i−i−iii3−i3−i3i3−333−3-222-2-111-1−2i2i0000i−i−iii3−i3−i3i3−333−32i−2i00001-1-11−iii−i−i3i3i3−i33−3−330000000000000000
χ6944444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ704444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-22222222200001111-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ7144444-4-444-4-4444-4-444-4-4-2-2-2-2-2-2-2-22222-2-2-2-222220000111122-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ7244444-4-4-4-444444-4-4-4-444-2-2-2-2-2-2-2-222222222-2-2-2-2000011112222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
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χ7444-4-4400004i−4i4-4-400004i−4i-2-2-222-222−2i3−2i32i32i32323−23−23−2i−2i2i2i000011-1-10000−2i2ii3i3−i3−i3−3−333ii−i−i00000000000000000000000000000000000000
χ7544-4-4400004i−4i4-4-400004i−4i-2-2-222-2222i32i3−2i3−2i3−23−232323−2i−2i2i2i000011-1-10000−2i2i−i3−i3i3i333−3−3ii−i−i00000000000000000000000000000000000000
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χ794-44-44004i−4i00-44-4004i−4i004-2-44-42-2200004i−4i4i−4i00000000-22-2200−2i2i000000−2i2i−2i2i000000000000000000000000000000000000000000
χ804-44-44004i−4i00-44-4004i−4i00-2-22-222-2223−2323−23−2i2i−2i2i−2i32i3−2i32i300001-11-100−2i2i00−33−33i−ii−ii3−i3i3−i300000000000000000000000000000000000000
χ814-44-44004i−4i00-44-4004i−4i00-2-22-222-22−2323−2323−2i2i−2i2i2i3−2i32i3−2i300001-11-100−2i2i003−33−3i−ii−i−i3i3−i3i300000000000000000000000000000000000000
χ824-44-4400−4i4i00-44-400−4i4i004-2-44-42-220000−4i4i−4i4i00000000-22-22002i−2i0000002i−2i2i−2i000000000000000000000000000000000000000000
χ834-44-4400−4i4i00-44-400−4i4i00-2-22-222-2223−2323−232i−2i2i−2i2i3−2i32i3−2i300001-11-1002i−2i00−33−33−ii−ii−i3i3−i3i300000000000000000000000000000000000000
χ844-44-4400−4i4i00-44-400−4i4i00-2-22-222-22−2323−23232i−2i2i−2i−2i32i3−2i32i300001-11-1002i−2i003−33−3−ii−iii3−i3i3−i300000000000000000000000000000000000000
χ854-4-4444i−4i0000-4-444i−4i00004-2-4-4422-24i−4i−4i4i000000000000-222-2−2i2i0000−2i2i2i−2i0000000000000000000000000000000000000000000000
χ864-4-4444i−4i0000-4-444i−4i0000-2-222-222-2−2i2i2i−2i−2i32i32i3−2i3−232323−2300001-1-11−2i2i0000i−i−iii3−i3−i3i33−3−3300000000000000000000000000000000000000
χ874-4-4444i−4i0000-4-444i−4i0000-2-222-222-2−2i2i2i−2i2i3−2i3−2i32i323−23−232300001-1-11−2i2i0000i−i−ii−i3i3i3−i3−333−300000000000000000000000000000000000000
χ884-4-444−4i4i0000-4-44−4i4i00004-2-4-4422-2−4i4i4i−4i000000000000-222-22i−2i00002i−2i−2i2i0000000000000000000000000000000000000000000000
χ894-4-444−4i4i0000-4-44−4i4i0000-2-222-222-22i−2i−2i2i−2i32i32i3−2i323−23−232300001-1-112i−2i0000−iii−ii3−i3−i3i3−333−300000000000000000000000000000000000000
χ904-4-444−4i4i0000-4-44−4i4i0000-2-222-222-22i−2i−2i2i2i3−2i3−2i32i3−232323−2300001-1-112i−2i0000−iii−i−i3i3i3−i33−3−3300000000000000000000000000000000000000
χ916666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000020222000-10-1-1-1000
χ926666-3666666-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-20-2-2-200010111000
χ936666-366-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000202-2-2000-10-111000
χ946666-366-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-20-222000101-1-1000
χ956666-3-6-666-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000020-22-2000-101-11000
χ966666-3-6-666-6-6-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-202-2200010-11-1000
χ976666-3-6-6-6-666-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000020-2-22000-1011-1000
χ986666-3-6-6-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-2022-200010-1-11000
χ991212-12-12-6000012i−12i-6660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-12-60000−12i12i-66600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-12-60012i−12i006-6600−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12-600−12i12i006-66006i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212-612i−12i000066-6−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-6−12i12i000066-66i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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