Finite Group Databasebeta

← Group #13155508

Character table — Group #13155508

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order1244233346661212121212123336666661212121212121212123666666121212121212128888882424242424242424224466121224242424242424242424242424242424242424246888812242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-111-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1i−ii−ii−iii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i-11-11-1111-1-111-1-1i−i
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1i−ii−i−iiii−i−iii−i−i1-11-111-1-1i−ii−i−i−iiiii−i−iii−i−i−i−iii-1-11-111-1-111-1-111−ii
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1i−i−iii−iii−i−i−i−iii-11-11-1-111i−i−iiii−i−iii−i−i−i−iiiii−i−i11-1-11-111-1-1-1-111−ii
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1i−i−ii−iiii−i−i−i−iii-11-11-1-111i−i−ii−i−iiiii−i−i−i−iii−i−iii1-111-1-1-1-11111-1-1i−i
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1−iii−ii−i−i−iiiii−i−i-11-11-1-111−iii−iii−i−i−i−iiiii−i−iii−i−i1-111-1-1-1-11111-1-1−ii
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1−iii−i−ii−i−iiiii−i−i-11-11-1-111−iii−i−i−iii−i−iiiii−i−i−i−iii11-1-11-111-1-1-1-111i−i
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1−ii−iii−i−i−iii−i−iii1-11-111-1-1−ii−iiii−i−i−i−iii−i−iiiii−i−i-1-11-111-1-111-1-111i−i
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1−ii−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii-11-11-1111-1-111-1-1−ii
χ172222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1222200-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-1-1-1-1-1-1-10000-10000-10000000000
χ182222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-122-2-200-1-1-1-11111-2-2-2-2111122-2-20000-1-1-1-1111100001000010000000000
χ192222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1-2-222001111-1-1-1-1-2-2-2-21111-2-22200001111-1-1-1-100001000010000000000
χ202222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-200111111112222-1-1-1-1-2-2-2-20000111111110000-10000-10000000000
χ21222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-1002222000022220000000000-1-12-12-10000-1-1-1-1-1-1-1-10002200000-1-1-1-100
χ22222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-10022-2-2000022220000000000-1-1-21-210000-1-1-1-11111000-2-200000111100
χ23222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-100-2-2220000-2-2-2-20000000000112-12-100001111-1-1-1-1000-2-200000111100
χ24222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-100-2-2-2-20000-2-2-2-2000000000011-21-210000111111110002200000-1-1-1-100
χ2522222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-12200222222000000000000-1-100-12-12-1-1-1-10000-1-1-1-1022000-1-1-1-1000000
χ2622222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-12200-2-22222000000000000-1-1001-21-2-1-1-1-1000011110-2-20001111000000
χ2722222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-1-2-20022-2-2-2-20000000000001100-12-1211110000-1-1-1-10-2-20001111000000
χ2822222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-1-2-200-2-2-2-2-2-200000000000011001-21-2111100001111022000-1-1-1-1000000
χ292222-2222-2222222222222-2-2-2222-2222222-2-22-2-2-2-2-22-2-2-2-2-222000000000000002-2-22222200000000000000000000-20000-20000000000
χ302222-2222-2222222222222-2-2-2222-2222222-2-22-2-2-2-2-22-2-2-2-2-22200000000000000-222-2-2-2-2-2000000000000000000002000020000000000
χ312222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1000000−i3i3−i3i3−i3i3−i3i32-2-22-1-1-1-100000000−i3i3−i3i3−i3i3−i3i300001000010000000000
χ322222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1000000−i3i3−i3i3i3−i3i3−i3-222-2111100000000−i3i3−i3i3i3−i3i3−i30000-10000-10000000000
χ332222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1000000i3−i3i3−i3−i3i3−i3i3-222-2111100000000i3−i3i3−i3−i3i3−i3i30000-10000-10000000000
χ342222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1000000i3−i3i3−i3i3−i3i3−i32-2-22-1-1-1-100000000i3−i3i3−i3i3−i3i3−i300001000010000000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-20000000000000022-2-222-2-20000000000000000000020000-20000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-200000000000000-2-222-2-22200000000000000000000-2000020000000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-21111110000003−3−333−3−3322-2-2-1-111000000003−3−333−3−330000-1000010000000000
χ3822-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-21111110000003−3−33−333−3-2-22211-1-1000000003−3−33−333−3000010000-10000000000
χ3922-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-2111111000000−333−33−3−33-2-22211-1-100000000−333−33−3−33000010000-10000000000
χ4022-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-2111111000000−333−3−333−322-2-2-1-11100000000−333−3−333−30000-1000010000000000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-1112i−2i2i−2i00−i−iii−i−iii2-22-2-1-1112i−2i2i−2i0000−i−iii−i−iii000010000-10000000000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-1112i−2i−2i2i00−i−iiiii−i−i-22-2211-1-12i−2i−2i2i0000−i−iiiii−i−i0000-1000010000000000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-111−2i2i2i−2i00ii−i−i−i−iii-22-2211-1-1−2i2i2i−2i0000ii−i−i−i−iii0000-1000010000000000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-111−2i2i−2i2i00ii−i−iii−i−i2-22-2-1-111−2i2i−2i2i0000ii−i−iii−i−i000010000-10000000000
χ4522-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-111002i−2i2i−2i00002i2i−2i−2i0000000000−ii2i−i−2ii0000−i−iii−i−iii0002-200000-1-11100
χ4622-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-111002i−2i−2i2i00002i2i−2i−2i0000000000−ii−2ii2i−i0000−i−iiiii−i−i000-220000011-1-100
χ4722-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-11100−2i2i2i−2i0000−2i−2i2i2i0000000000i−i2i−i−2ii0000ii−i−i−i−iii000-220000011-1-100
χ4822-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-11100−2i2i−2i2i0000−2i−2i2i2i0000000000i−i−2ii2i−i0000ii−i−iii−i−i0002-200000-1-11100
χ4922-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-1112i−2i002i−2i2i2i−2i−2i000000000000−ii00−i2ii−2i−i−iii0000−i−iii02-2000-1-111000000
χ5022-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-1112i−2i00−2i2i2i2i−2i−2i000000000000−ii00i−2i−i2i−i−iii0000ii−i−i0-2200011-1-1000000
χ5122-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-111−2i2i002i−2i−2i−2i2i2i000000000000i−i00−i2ii−2iii−i−i0000−i−iii0-2200011-1-1000000
χ5222-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-111−2i2i00−2i2i−2i−2i2i2i000000000000i−i00i−2i−i2iii−i−i0000ii−i−i02-2000-1-111000000
χ53444444-2-244-2-244-2-2-2-2-2-214-2-2-2-21-2-2-2-2-2114-21-2-21111-2-2111110044000000-2-2-2-20000000000-2-200000000111100000000000000000000
χ54444444-2-244-2-244-2-2-2-2-2-214-2-2-2-21-2-2-2-2-2114-21-2-21111-2-21111100-4-4000000222200000000002200000000-1-1-1-100000000000000000000
χ5544444-24-24-24-2-2-244-2-2-21-2-24-2-21-2-2-2-211-2-2-241-21-2111-21-21111440000-2-2-2-2000000000000-2-20000001111000000000000000000000000
χ5644444-24-24-24-2-2-244-2-2-21-2-24-2-21-2-2-2-211-2-2-241-21-2111-21-21111-4-40000222200000000000022000000-1-1-1-1000000000000000000000000
χ5744444-2-244-2-24-2-2-2-2441-2-2-2-241-2-2411-2-2-2-2-2-211-2-21111-2-2111100004400000000000000000000-2-2-2-20000000011110000000000000000
χ5844444-2-244-2-24-2-2-2-2441-2-2-2-241-2-2411-2-2-2-2-2-211-2-21111-2-211110000-4-400000000000000000000222200000000-1-1-1-10000000000000000
χ594444-44-24-44-2444-2-244-24-2-42-4-24-2-4-2-244-2-2-42-22-4222-22-4222-2-20000000000000000000000000000000000000000000000000000000000
χ604444-44-2-2-44-2-244-2-2-2-2-2-21-422-2-212-2-2-2-211-42122-1-1-1122-1-1-1110000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
χ614444-44-2-2-44-2-244-2-2-2-2-2-21-422-2-212-2-2-2-211-42122-1-1-1122-1-1-11100000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ624444-4-244-4-244-2-24444-2-242-4-4-2-24-4-2-2-2-2442-4-222-422-222-422-2-20000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-2-2-244-2-2-21-22-42-21-22-2-211-2-22-412-12-1-112-12-1-111000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000000000000
χ644444-4-24-2-4-24-2-2-244-2-2-21-22-42-21-22-2-211-2-22-412-12-1-112-12-1-1110000002i3−2i32i3−2i300000000000000000000−i3i3−i3i3000000000000000000000000
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χ6944-4-444-2-2-44-2-2-4-42222-2-214-2-2-2-2122222-1-1-421-2-2111122-1-1-1-1-10000000000−232323−23000000000000000000003−3−3300000000000000000000
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χ7244-4-44-24-2-4-24-222-4-422-21-2-24-2-21-2222-1-1222-41-21-21112-12-1-1-1-1000000−232323−23000000000000000000003−3−33000000000000000000000000
χ7344-4-44-2-24-4-2-242222-4-41-2-2-2-241-2-2-4-1-122222211-2-2111-122-1-1-1-1000000000000000000000000000000000000003i−3i−3i3i0000000000000000
χ7444-4-44-2-24-4-2-242222-4-41-2-2-2-241-2-2-4-1-122222211-2-2111-122-1-1-1-100000000000000000000000000000000000000−3i3i3i−3i0000000000000000
χ7544-4-4-44-2-244-2-2-4-42222-2-21-422-2-21-22222-1-14-2122-1-1-11-2-2111-1-1004i−4i000000−2i−2i2i2i0000000000−2i2i00000000ii−i−i00000000000000000000
χ7644-4-4-44-2-244-2-2-4-42222-2-21-422-2-21-22222-1-14-2122-1-1-11-2-2111-1-100−4i4i0000002i2i−2i−2i00000000002i−2i00000000−i−iii00000000000000000000
χ7744-4-4-4-24-24-24-222-4-422-21-22-42-21-2-222-1-122-2412-12-1-11-21-211-1-14i−4i0000−2i−2i2i2i000000000000−2i2i000000ii−i−i000000000000000000000000
χ7844-4-4-4-24-24-24-222-4-422-21-22-42-21-2-222-1-122-2412-12-1-11-21-211-1-1−4i4i00002i2i−2i−2i0000000000002i−2i000000−i−iii000000000000000000000000
χ7944-4-4-4-2-244-2-242222-4-41-2-222-41-2-24-1-12222-2-21-122-1-111-2-211-1-100004i−4i00000000000000000000−2i−2i2i2i00000000ii−i−i0000000000000000
χ8044-4-4-4-2-244-2-242222-4-41-2-222-41-2-24-1-12222-2-21-122-1-111-2-211-1-10000−4i4i000000000000000000002i2i−2i−2i00000000−i−iii0000000000000000
χ814-44i−4i04440-4-4-44i−4i4i−4i4i−4i444000-4-4-404i−4i4i−4i4i−4i00400000-4000004i−4i0000000000000000000000000000000000000000000000000000000000
χ824-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2000-42204i−4i−2i2i−2i2i00-200000200000−2i2i000000000000000000−2i32i323−23000000000000000000000000000000000000
χ834-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2000-42204i−4i−2i2i−2i2i00-200000200000−2i2i0000000000000000002i3−2i3−2323000000000000000000000000000000000000
χ844-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-20002-420−2i2i4i−4i−2i2i00-200000200000−2i2i0000000000000000000000000000000000000000000000000000i6−i66−600
χ854-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-20002-420−2i2i4i−4i−2i2i00-200000200000−2i2i0000000000000000000000000000000000000000000000000000−i6i6−6600
χ864-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-2400022-40−2i2i−2i2i4i−4i00-200000200000−2i2i000000000000000000000000000000000000000000000000i6−i66−6000000
χ874-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-2400022-40−2i2i−2i2i4i−4i00-200000200000−2i2i000000000000000000000000000000000000000000000000−i6i6−66000000
χ884-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i444000-4-4-40−4i4i−4i4i−4i4i00400000-400000−4i4i0000000000000000000000000000000000000000000000000000000000
χ894-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2000-4220−4i4i2i−2i2i−2i00-2000002000002i−2i000000000000000000−2i32i3−2323000000000000000000000000000000000000
χ904-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2000-4220−4i4i2i−2i2i−2i00-2000002000002i−2i0000000000000000002i3−2i323−23000000000000000000000000000000000000
χ914-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-20002-4202i−2i−4i4i2i−2i00-2000002000002i−2i0000000000000000000000000000000000000000000000000000i6−i6−6600
χ924-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-20002-4202i−2i−4i4i2i−2i00-2000002000002i−2i0000000000000000000000000000000000000000000000000000−i6i66−600
χ934-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-2400022-402i−2i2i−2i−4i4i00-2000002000002i−2i000000000000000000000000000000000000000000000000i6−i6−66000000
χ944-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-2400022-402i−2i2i−2i−4i4i00-2000002000002i−2i000000000000000000000000000000000000000000000000−i6i66−6000000
χ9588888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4-4222-4222222-4-4-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222444222422222244-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-8-4-4-4444444222-4-4-42224-2-2-2-2-2-244-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-4-4-48-4-4-4444444222444222-4-2-2-2-2-2-2-4-4-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000
χ998-88i−8i08-4-40-8448i−8i−4i4i−4i4i-4-4200044-20−4i4i−4i4i2i−2i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0-48-404-84−4i4i8i−8i−4i4i-42-40004-240−4i4i2i−2i−4i4i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-4000-24402i−2i−4i4i−4i4i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-202i−2i2i−2i2i−2i00-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-202i−2i2i−2i2i−2i00-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-4-4200044-204i−4i4i−4i−2i2i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-48-404-844i−4i−8i8i4i−4i-42-40004-2404i−4i−2i2i4i−4i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-4000-2440−2i2i4i−4i4i−4i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-20−2i2i−2i2i−2i2i00-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-20−2i2i−2i2i−2i2i00-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000

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