Finite Group Databasebeta

← Group #11711684

Character table — Group #11711684

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122333366888888881212121212121212111122333366888888881212121212121212111122333366888888881212121212121212111122333366888888881212121212121212
order1222442222443666121212122244444444444444444412121212121212124444444422224422224466661212121222444444444444444444121212121212121244444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ41111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-111
χ511-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i
χ611-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii
χ711-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii
χ811-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i
χ9222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000
χ1122-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii00000000
χ1222-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000
χ132-22-200-222-2002-2-220000000000002-22-200-222-2002-2-220000000000002-22-200-222-2002-2-220000000000002-22-200-222-2002-2-22000000000000
χ142-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i300000000
χ152-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i300000000
χ162-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-2000000000000
χ172-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−3300000000
χ182-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−300000000
χ19333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1
χ20333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111
χ213333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111
χ223333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1
χ2333-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii
χ2433-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i
χ2533-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i
χ2633-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii
χ276-66-6002-2-220000000000000000006-66-6002-2-220000000000000000006-66-6002-2-220000000000000000006-66-6002-2-22000000000000000000
χ286-6-660022-2-20000000000000000006-6-660022-2-20000000000000000006-6-660022-2-20000000000000000006-6-660022-2-2000000000000000000
χ291111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3011111111111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ311111-1-11111-1-11111-1-1-1-111-1-111-1-1iiii−i−iiiii−i−iiiii−i−i−i−iii−i−iii−i−i-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111−i−i−i−iii−i−i−i−iii−i−i−i−iiiii−i−iii−i−iii
χ321111-1-11111-1-11111-1-1-1-1-1-111-1-111iiii−i−iiiii−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiii−i−iii−i−i
χ3311-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−iii−i−i-11i−ii−i-11ii−i−i-1-111i−i-11i−i-11-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−ii−i−iii1-1−ii−ii1-1−i−iii11-1-1−ii1-1−ii1-1
χ3411-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−iiii−i−i-11i−ii−i-11ii−i−i-1-111−ii1-1−ii1-1-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−i−i−iii1-1−ii−ii1-1−i−iii11-1-1i−i-11i−i-11
χ3511-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−iiii−i−i1-1i−ii−i1-1ii−i−i11-1-1i−i1-1i−i1-1-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−i−i−iii-11−ii−ii-11−i−iii-1-111−ii-11−ii-11
χ3611-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−iii−i−i1-1i−ii−i1-1ii−i−i11-1-1−ii-11−ii-11-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−ii−i−iii-11−ii−ii-11−i−iii-1-111i−i1-1i−i1-1
χ37222222222222-1-1-1-1-1-1-1-1000000002i2i2i2i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i00000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii00000000
χ382222-2-22222-2-2-1-1-1-11111000000002i2i2i2i−2i−2i2i2i2i2i−2i−2i−i−i−i−iiiii00000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2iiiii−i−i−i−i00000000
χ3922-2-22i−2i2-22-22i−2i-1-111−i−iii000000002i2i−2i−2i-222i−2i2i−2i-22−i−iii11-1-100000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i00000000−2i−2i2i2i2-2−2i2i−2i2i2-2ii−i−i-1-11100000000
χ4022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i000000002i2i−2i−2i2-22i−2i2i−2i2-2−i−iii-1-11100000000-2-2222i−2i-22-222i−2i11-1-1−i−iii00000000−2i−2i2i2i-22−2i2i−2i2i-22ii−i−i11-1-100000000
χ412-22-200-222-2002-2-220000000000002i−2i2i−2i00−2i2i2i−2i002i−2i−2i2i000000000000-22-22002-2-2200-222-2000000000000−2i2i−2i2i002i−2i−2i2i00−2i2i2i−2i000000000000
χ422-22-200-222-200-111-1−i3i3−i3i3000000002i−2i2i−2i00−2i2i2i−2i00−iii−i3−33−300000000-22-22002-2-22001-1-11i3−i3i3−i300000000−2i2i−2i2i002i−2i−2i2i00i−i−ii−33−3300000000
χ432-22-200-222-200-111-1i3−i3i3−i3000000002i−2i2i−2i00−2i2i2i−2i00−iii−i−33−3300000000-22-22002-2-22001-1-11−i3i3−i3i300000000−2i2i−2i2i002i−2i−2i2i00i−i−ii3−33−300000000
χ442-2-2200-2-222002-22-20000000000002i−2i−2i2i00−2i−2i2i2i002i−2i2i−2i000000000000-222-20022-2-200-22-22000000000000−2i2i2i−2i002i2i−2i−2i00−2i2i−2i2i000000000000
χ452-2-2200-2-22200-11-113−3−33000000002i−2i−2i2i00−2i−2i2i2i00−ii−iii3−i3−i3i300000000-222-20022-2-2001-11-1−333−300000000−2i2i2i−2i002i2i−2i−2i00i−ii−i−i3i3i3−i300000000
χ462-2-2200-2-22200-11-11−333−3000000002i−2i−2i2i00−2i−2i2i2i00−ii−ii−i3i3i3−i300000000-222-20022-2-2001-11-13−3−3300000000−2i2i2i−2i002i2i−2i−2i00i−ii−ii3−i3−i3i300000000
χ47333333-1-1-1-1-1-1000000001111-1-1-1-13i3i3i3i3i3i−i−i−i−i−i−i00000000iiii−i−i−i−i-3-3-3-3-3-311111100000000-1-1-1-11111−3i−3i−3i−3i−3i−3iiiiiii00000000−i−i−i−iiiii
χ48333333-1-1-1-1-1-100000000-1-1-1-111113i3i3i3i3i3i−i−i−i−i−i−i00000000−i−i−i−iiiii-3-3-3-3-3-3111111000000001111-1-1-1-1−3i−3i−3i−3i−3i−3iiiiiii00000000iiii−i−i−i−i
χ493333-3-3-1-1-1-1110000000011-1-1-1-1113i3i3i3i−3i−3i−i−i−i−iii00000000ii−i−i−i−iii-3-3-3-3331111-1-100000000-1-11111-1-1−3i−3i−3i−3i3i3iiiii−i−i00000000−i−iiiii−i−i
χ503333-3-3-1-1-1-11100000000-1-11111-1-13i3i3i3i−3i−3i−i−i−i−iii00000000−i−iiiii−i−i-3-3-3-3331111-1-10000000011-1-1-1-111−3i−3i−3i−3i3i3iiiii−i−i00000000ii−i−i−i−iii
χ5133-3-33i−3i-11-11−ii000000001-1i−i-11−ii3i3i−3i−3i-33−ii−ii1-100000000i−i-11−ii1-1-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i−3i−3i3i3i3-3i−ii−i-1100000000−ii1-1i−i-11
χ5233-3-33i−3i-11-11−ii00000000-11−ii1-1i−i3i3i−3i−3i-33−ii−ii1-100000000−ii1-1i−i-11-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii−3i−3i3i3i3-3i−ii−i-1100000000i−i-11−ii1-1
χ5333-3-3−3i3i-11-11i−i000000001-1−ii-11i−i3i3i−3i−3i3-3−ii−ii-1100000000i−i1-1−ii-11-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii−3i−3i3i3i-33i−ii−i1-100000000−ii-11i−i1-1
χ5433-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii3i3i−3i−3i3-3−ii−ii-1100000000−ii-11i−i1-1-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i−3i−3i3i3i-33i−ii−i1-100000000i−i1-1−ii-11
χ556-66-6002-2-220000000000000000006i−6i6i−6i002i−2i−2i2i000000000000000000-66-6600-222-2000000000000000000−6i6i−6i6i00−2i2i2i−2i000000000000000000
χ566-6-660022-2-20000000000000000006i−6i−6i6i002i2i−2i−2i000000000000000000-666-600-2-222000000000000000000−6i6i6i−6i00−2i−2i2i2i000000000000000000
χ571111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ591111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ601111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ6111-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−ii
χ6211-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−i
χ6311-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−i
χ6411-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−ii
χ65222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000
χ662222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-1000000002222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000
χ6722-2-22i−2i2-22-22i−2i-1-111−i−iii00000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii00000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i00000000
χ6822-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-22-222i−2i11-1-1−i−iii0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-22-222i−2i11-1-1−i−iii00000000
χ692-22-200-222-2002-2-22000000000000-22-22002-2-2200-222-20000000000002-22-200-222-2002-2-22000000000000-22-22002-2-2200-222-2000000000000
χ702-22-200-222-200-111-1−i3i3−i3i300000000-22-22002-2-22001-1-11i3−i3i3−i3000000002-22-200-222-200-111-1−i3i3−i3i300000000-22-22002-2-22001-1-11i3−i3i3−i300000000
χ712-22-200-222-200-111-1i3−i3i3−i300000000-22-22002-2-22001-1-11−i3i3−i3i3000000002-22-200-222-200-111-1i3−i3i3−i300000000-22-22002-2-22001-1-11−i3i3−i3i300000000
χ722-2-2200-2-222002-22-2000000000000-222-20022-2-200-22-220000000000002-2-2200-2-222002-22-2000000000000-222-20022-2-200-22-22000000000000
χ732-2-2200-2-22200-11-113−3−3300000000-222-20022-2-2001-11-1−333−3000000002-2-2200-2-22200-11-113−3−3300000000-222-20022-2-2001-11-1−333−300000000
χ742-2-2200-2-22200-11-11−333−300000000-222-20022-2-2001-11-13−3−33000000002-2-2200-2-22200-11-11−333−300000000-222-20022-2-2001-11-13−3−3300000000
χ75333333-1-1-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-311111100000000-1-1-1-11111333333-1-1-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-311111100000000-1-1-1-11111
χ76333333-1-1-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-3111111000000001111-1-1-1-1333333-1-1-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-3111111000000001111-1-1-1-1
χ773333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-13333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-1
χ783333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-1113333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-111
χ7933-3-33i−3i-11-11−ii000000001-1i−i-11−ii-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii000000001-1i−i-11−ii-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i
χ8033-3-33i−3i-11-11−ii00000000-11−ii1-1i−i-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii
χ8133-3-3−3i3i-11-11i−i000000001-1−ii-11i−i-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii
χ8233-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i
χ836-66-6002-2-22000000000000000000-66-6600-222-20000000000000000006-66-6002-2-22000000000000000000-66-6600-222-2000000000000000000
χ846-6-660022-2-2000000000000000000-666-600-2-2220000000000000000006-6-660022-2-2000000000000000000-666-600-2-222000000000000000000
χ851111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiii
χ8611111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ871111-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−iii−i−i−i−iii−i−i−i−iiiii−i−iii−i−iii-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111iiii−i−iiiii−i−iiiii−i−i−i−iii−i−iii−i−i
χ881111-1-11111-1-11111-1-1-1-1-1-111-1-111−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1iiii−i−iiiii−i−iiiii−i−i−i−i−i−iii−i−iii
χ8911-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i−i−iii1-1−ii−ii1-1−i−iii11-1-1−ii1-1−ii1-1-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−iiii−i−i-11i−ii−i-11ii−i−i-1-111i−i-11i−i-11
χ9011-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii−i−iii1-1−ii−ii1-1−i−iii11-1-1i−i-11i−i-11-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−iii−i−i-11i−ii−i-11ii−i−i-1-111−ii1-1−ii1-1
χ9111-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii−i−iii-11−ii−ii-11−i−iii-1-111−ii-11−ii-11-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−iii−i−i1-1i−ii−i1-1ii−i−i11-1-1i−i1-1i−i1-1
χ9211-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i−i−iii-11−ii−ii-11−i−iii-1-111i−i1-1i−i1-1-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−iiii−i−i1-1i−ii−i1-1ii−i−i11-1-1−ii-11−ii-11
χ93222222222222-1-1-1-1-1-1-1-100000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii00000000-2-2-2-2-2-2-2-2-2-2-2-211111111000000002i2i2i2i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i00000000
χ942222-2-22222-2-2-1-1-1-1111100000000−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2iiiii−i−i−i−i00000000-2-2-2-222-2-2-2-2221111-1-1-1-1000000002i2i2i2i−2i−2i2i2i2i2i−2i−2i−i−i−i−iiiii00000000
χ9522-2-22i−2i2-22-22i−2i-1-111−i−iii00000000−2i−2i2i2i2-2−2i2i−2i2i2-2ii−i−i-1-11100000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i000000002i2i−2i−2i-222i−2i2i−2i-22−i−iii11-1-100000000
χ9622-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000−2i−2i2i2i-22−2i2i−2i2i-22ii−i−i11-1-100000000-2-2222i−2i-22-222i−2i11-1-1−i−iii000000002i2i−2i−2i2-22i−2i2i−2i2-2−i−iii-1-11100000000
χ972-22-200-222-2002-2-22000000000000−2i2i−2i2i002i−2i−2i2i00−2i2i2i−2i000000000000-22-22002-2-2200-222-20000000000002i−2i2i−2i00−2i2i2i−2i002i−2i−2i2i000000000000
χ982-22-200-222-200-111-1−i3i3−i3i300000000−2i2i−2i2i002i−2i−2i2i00i−i−ii−33−3300000000-22-22002-2-22001-1-11i3−i3i3−i3000000002i−2i2i−2i00−2i2i2i−2i00−iii−i3−33−300000000
χ992-22-200-222-200-111-1i3−i3i3−i300000000−2i2i−2i2i002i−2i−2i2i00i−i−ii3−33−300000000-22-22002-2-22001-1-11−i3i3−i3i3000000002i−2i2i−2i00−2i2i2i−2i00−iii−i−33−3300000000
χ1002-2-2200-2-222002-22-2000000000000−2i2i2i−2i002i2i−2i−2i00−2i2i−2i2i000000000000-222-20022-2-200-22-220000000000002i−2i−2i2i00−2i−2i2i2i002i−2i2i−2i000000000000
χ1012-2-2200-2-22200-11-113−3−3300000000−2i2i2i−2i002i2i−2i−2i00i−ii−i−i3i3i3−i300000000-222-20022-2-2001-11-1−333−3000000002i−2i−2i2i00−2i−2i2i2i00−ii−iii3−i3−i3i300000000
χ1022-2-2200-2-22200-11-11−333−300000000−2i2i2i−2i002i2i−2i−2i00i−ii−ii3−i3−i3i300000000-222-20022-2-2001-11-13−3−33000000002i−2i−2i2i00−2i−2i2i2i00−ii−ii−i3i3i3−i300000000
χ103333333-1-1-1-1-1-1000000001111-1-1-1-1−3i−3i−3i−3i−3i−3iiiiiii00000000−i−i−i−iiiii-3-3-3-3-3-311111100000000-1-1-1-111113i3i3i3i3i3i−i−i−i−i−i−i00000000iiii−i−i−i−i
χ104333333-1-1-1-1-1-100000000-1-1-1-11111−3i−3i−3i−3i−3i−3iiiiiii00000000iiii−i−i−i−i-3-3-3-3-3-3111111000000001111-1-1-1-13i3i3i3i3i3i−i−i−i−i−i−i00000000−i−i−i−iiiii
χ1053333-3-3-1-1-1-1110000000011-1-1-1-111−3i−3i−3i−3i3i3iiiii−i−i00000000−i−iiiii−i−i-3-3-3-3331111-1-100000000-1-11111-1-13i3i3i3i−3i−3i−i−i−i−iii00000000ii−i−i−i−iii
χ1063333-3-3-1-1-1-11100000000-1-11111-1-1−3i−3i−3i−3i3i3iiiii−i−i00000000ii−i−i−i−iii-3-3-3-3331111-1-10000000011-1-1-1-1113i3i3i3i−3i−3i−i−i−i−iii00000000−i−iiiii−i−i
χ10733-3-33i−3i-11-11−ii000000001-1i−i-11−ii−3i−3i3i3i3-3i−ii−i-1100000000−ii1-1i−i-11-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i3i3i−3i−3i-33−ii−ii1-100000000i−i-11−ii1-1
χ10833-3-33i−3i-11-11−ii00000000-11−ii1-1i−i−3i−3i3i3i3-3i−ii−i-1100000000i−i-11−ii1-1-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii3i3i−3i−3i-33−ii−ii1-100000000−ii1-1i−i-11
χ10933-3-3−3i3i-11-11i−i000000001-1−ii-11i−i−3i−3i3i3i-33i−ii−i1-100000000−ii-11i−i1-1-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii3i3i−3i−3i3-3−ii−ii-1100000000i−i1-1−ii-11
χ11033-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii−3i−3i3i3i-33i−ii−i1-100000000i−i1-1−ii-11-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i3i3i−3i−3i3-3−ii−ii-1100000000−ii-11i−i1-1
χ1116-66-6002-2-22000000000000000000−6i6i−6i6i00−2i2i2i−2i000000000000000000-66-6600-222-20000000000000000006i−6i6i−6i002i−2i−2i2i000000000000000000
χ1126-6-660022-2-2000000000000000000−6i6i6i−6i00−2i−2i2i2i000000000000000000-666-600-2-2220000000000000000006i−6i−6i6i002i2i−2i−2i000000000000000000

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