Finite Group Databasebeta

← Group #13155723

Character table — Group #13155723

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order122233344666666666333666666666121212121212366612121212121212121212224444666612121212444412121212666666121212121212121212121212121288881212242424242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
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
χ911-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−iii−i−i1-111-1-1i−iii−i−iii−i−iii−i−ii−i1-1i−iii−i−i11-1-11-1
χ1011-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-11-1i−i−ii11-1-1ii−i−iii−i−iii−i−i1-111-1-1i−i−i−iiiii−i−i−i−iii−ii-11i−i−i−iii-1-111-11
χ1111-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-11-1−iii−i11-1-1−i−iii−i−iii−i−iii1-111-1-1−iiii−i−i−i−iiiii−i−ii−i-11−iiii−i−i-1-111-11
χ1211-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii−i−iii1-111-1-1−ii−i−iii−i−iii−i−iii−ii1-1−ii−i−iii11-1-11-1
χ1311-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-1-11i−ii−i-1-111ii−i−i−i−iii−i−iii-11-1-111i−iii−i−iii−i−iii−i−i−ii1-1−ii−i−iii11-1-1-11
χ1411-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii−i−iii-11-1-111i−i−i−iiiii−i−i−i−iiii−i-11−iiii−i−i-1-1111-1
χ1511-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−iii−i−i-11-1-111−iiii−i−i−i−iiiii−i−i−ii-11i−i−i−iii-1-1111-1
χ1611-1-11111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-1-11−ii−ii-1-111−i−iiiii−i−iii−i−i-11-1-111−ii−i−iii−i−iii−i−iiii−i1-1i−iii−i−i11-1-1-11
χ172222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000002-22-22222000000000000000000000000-2-20000000000
χ182222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000-22-22-2-2-2-2000000000000000000000000220000000000
χ19222222-122222-1222-1-12-1-12-1-1-12-1-12-12-12-122-1-1-1-12-1-12-1-1-1-1-1-1222200-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1220000-1-1-1-100000000-1-10000000000
χ20222222-122222-1222-1-12-1-12-1-1-12-1-12-12-12-122-1-1-1-12-1-12-1-1-1-1-1-122-2-200-1-1-1-11111-2-2-2-2111122-1-1-1-1-2-20000111100000000110000000000
χ21222222-122222-1222-1-12-1-12-1-1-12-1-12-12-12-122-1-1-1-12-1-12-1-1-1-1-1-1-2-222001111-1-1-1-1-2-2-2-21111-2-21111220000-1-1-1-100000000110000000000
χ22222222-122222-1222-1-12-1-12-1-1-12-1-12-12-12-122-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-200111111112222-1-1-1-1-2-21111-2-20000111100000000-1-10000000000
χ23222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-21-21-2-2-1-1-1-1-211-2111111000000−i3i3−i3i3−i3i3−i3i32-22-2-1-1-1-100−i3i3−i3i3000000−i3i3−i3i300000000110000000000
χ24222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-21-21-2-2-1-1-1-1-211-2111111000000−i3i3−i3i3i3−i3i3−i3-22-22111100−i3i3−i3i3000000i3−i3i3−i300000000-1-10000000000
χ25222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-21-21-2-2-1-1-1-1-211-2111111000000i3−i3i3−i3−i3i3−i3i3-22-22111100i3−i3i3−i3000000−i3i3−i3i300000000-1-10000000000
χ26222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-21-21-2-2-1-1-1-1-211-2111111000000i3−i3i3−i3i3−i3i3−i32-22-2-1-1-1-100i3−i3i3−i3000000i3−i3i3−i300000000110000000000
χ2722222-1222-12-1222-122-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12-1-12-1-1-1-1-12200222222000000000000-1-1-1-1-1-1002-12-10000-1-1-1-1220000-1-1-1-1000000
χ2822222-1222-12-1222-122-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12-1-12-1-1-1-1-12200-2-22222000000000000-1-1-1-1-1-100-21-2100001111-2-200001111000000
χ2922222-1222-12-1222-122-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12-1-12-1-1-1-1-1-2-20022-2-2-2-2000000000000111111002-12-10000-1-1-1-1-2-200001111000000
χ3022222-1222-12-1222-122-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12-1-12-1-1-1-1-1-2-200-2-2-2-2-2-200000000000011111100-21-2100001111220000-1-1-1-1000000
χ312222-122222-122-1-1222-1-12-1-122-1-12-1-122-12-12-1-1-1-1-1-12-1-12-1-1-1-10022220000222200000000000000-1-1-12-12-1-1-1-1-1-1-1-10022000000-1-1-1-100
χ322222-122222-122-1-1222-1-12-1-122-1-12-1-122-12-12-1-1-1-1-1-12-1-12-1-1-1-10022-2-20000222200000000000000-1-11-21-2-1-1-1-1111100-2-2000000111100
χ332222-122222-122-1-1222-1-12-1-122-1-12-1-122-12-12-1-1-1-1-1-12-1-12-1-1-1-100-2-2220000-2-2-2-20000000000000011-12-121111-1-1-1-100-2-2000000111100
χ342222-122222-122-1-1222-1-12-1-122-1-12-1-122-12-12-1-1-1-1-1-12-1-12-1-1-1-100-2-2-2-20000-2-2-2-200000000000000111-21-2111111110022000000-1-1-1-100
χ3522-2-2222-22-2222-2-2-2-2-2222-2-2-2-2222-2-2-2-222-222-2-22-2-2-2222-2-222000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000000000−2i2i0000000000
χ3622-2-2222-22-2222-2-2-2-2-2222-2-2-2-2222-2-2-2-222-222-2-22-2-2-2222-2-22200000000000000−2i2i2i−2i−2i−2i2i2i0000000000000000000000002i−2i0000000000
χ3722-2-222-12-2-222-1-2-2-2112-1-1-21112-1-1-212-1-212-2-111-12-1-1-211-1-1112-22i−2i00-1-111−i−iii2i2i−2i−2i−i−iii2-2-1-1112i−2i0000−i−iii00000000−ii0000000000
χ3822-2-222-12-2-222-1-2-2-2112-1-1-21112-1-1-212-1-212-2-111-12-1-1-211-1-1112-2−2i2i00-1-111ii−i−i−2i−2i2i2iii−i−i2-2-1-111−2i2i0000ii−i−i00000000i−i0000000000
χ3922-2-222-12-2-222-1-2-2-2112-1-1-21112-1-1-212-1-212-2-111-12-1-1-211-1-111-222i−2i0011-1-1−i−iii−2i−2i2i2iii−i−i-2211-1-12i−2i0000−i−iii00000000i−i0000000000
χ4022-2-222-12-2-222-1-2-2-2112-1-1-21112-1-1-212-1-212-2-111-12-1-1-211-1-111-22−2i2i0011-1-1ii−i−i2i2i−2i−2i−i−iii-2211-1-1−2i2i0000ii−i−i00000000−ii0000000000
χ4122-2-222-1-22-222-1-2-2-2112-1-1-21112-1-1-21-212-1-22-111-1-2112-1-111-1-1000000−i3i3i3−i33−3−332i−2i−2i2i−i−iii00−i3i3i3−i30000003−3−3300000000i−i0000000000
χ4222-2-222-1-22-222-1-2-2-2112-1-1-21112-1-1-21-212-1-22-111-1-2112-1-111-1-1000000−i3i3i3−i3−333−3−2i2i2i−2iii−i−i00−i3i3i3−i3000000−333−300000000−ii0000000000
χ4322-2-222-1-22-222-1-2-2-2112-1-1-21112-1-1-21-212-1-22-111-1-2112-1-111-1-1000000i3−i3−i3i33−3−33−2i2i2i−2iii−i−i00i3−i3−i3i30000003−3−3300000000−ii0000000000
χ4422-2-222-1-22-222-1-2-2-2112-1-1-21112-1-1-21-212-1-22-111-1-2112-1-111-1-1000000i3−i3−i3i3−333−32i−2i−2i2i−i−iii00i3−i3−i3i3000000−333−300000000i−i0000000000
χ4522-2-22-122-212-12-2-21-2-2-12-11-211-12-11-2-12-2-221-111-1-12-11-21-1-1112-2002i−2i22-2-2000000000000-11-1-111002i−i−2ii0000−i−iii2i−2i0000−i−iii000000
χ4622-2-22-122-212-12-2-21-2-2-12-11-211-12-11-2-12-2-221-111-1-12-11-21-1-1112-200−2i2i22-2-2000000000000-11-1-11100−2ii2i−i0000ii−i−i−2i2i0000ii−i−i000000
χ4722-2-22-122-212-12-2-21-2-2-12-11-211-12-11-2-12-2-221-111-1-12-11-21-1-111-22002i−2i-2-2220000000000001-111-1-1002i−i−2ii0000−i−iii−2i2i0000ii−i−i000000
χ4822-2-22-122-212-12-2-21-2-2-12-11-211-12-11-2-12-2-221-111-1-12-11-21-1-111-2200−2i2i-2-2220000000000001-111-1-100−2ii2i−i0000ii−i−i2i−2i0000−i−iii000000
χ4922-2-2-1222-2-2-12211-2-2-2-1-1211-2-2-1-1211221-2-1-2-111-1-1-1211-2-1-111002i−2i2i−2i00002i2i−2i−2i00000000000000−ii−i2ii−2i−i−iii−i−iii002-2000000-1-11100
χ5022-2-2-1222-2-2-12211-2-2-2-1-1211-2-2-1-1211221-2-1-2-111-1-1-1211-2-1-111002i−2i−2i2i00002i2i−2i−2i00000000000000−iii−2i−i2i−i−iiiii−i−i00-2200000011-1-100
χ5122-2-2-1222-2-2-12211-2-2-2-1-1211-2-2-1-1211221-2-1-2-111-1-1-1211-2-1-11100−2i2i2i−2i0000−2i−2i2i2i00000000000000i−i−i2ii−2iii−i−i−i−iii00-2200000011-1-100
χ5222-2-2-1222-2-2-12211-2-2-2-1-1211-2-2-1-1211221-2-1-2-111-1-1-1211-2-1-11100−2i2i−2i2i0000−2i−2i2i2i00000000000000i−ii−2i−i2iii−i−iii−i−i002-2000000-1-11100
χ5344444-24-4-4-24-2444-244-24-2-24-2-2-24-2-242-4-4-4-42-2-2-2-22-422-4222220000000000000000000000000000000000000000000000000000000000
χ5444444-2-244-24-2-244-2-2-2-2-21-2-211-2-21-2-2-2-24-24-21111-2-21-2-211111440000-2-2-2-2000000000000-2-21111000000000000000000000000000000
χ5544444-2-244-24-2-244-2-2-2-2-21-2-211-2-21-2-2-2-24-24-21111-2-21-2-211111-4-40000222200000000000022-1-1-1-1000000000000000000000000000000
χ5644444-2-2-4-4-24-2-244-2-2-2-2-21-2-211-2-21-2-222-42-42111122-122-1-1-1-1-1000000−2i32i3−2i32i300000000000000i3−i3i3−i3000000000000000000000000000000
χ5744444-2-2-4-4-24-2-244-2-2-2-2-21-2-211-2-21-2-222-42-42111122-122-1-1-1-1-10000002i3−2i32i3−2i300000000000000−i3i3−i3i3000000000000000000000000000000
χ584444-244-4-44-244-2-2444-2-24-2-244-2-24-2-2-4-42-42-4-2-2-2-222-422-422220000000000000000000000000000000000000000000000000000000000
χ594444-24-2444-24-2-2-24-2-2-21-2-21-2-2-21-2-214-2-2-2-241111-21-2-21-211110044000000-2-2-2-200000000000000-2-20000111100000000000000000000
χ604444-24-2444-24-2-2-24-2-2-21-2-21-2-2-21-2-214-2-2-2-241111-21-2-21-2111100-4-4000000222200000000000000220000-1-1-1-100000000000000000000
χ614444-24-2-4-44-24-2-2-24-2-2-21-2-21-2-2-21-2-21-42222-411112-122-12-1-1-1-10000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
χ624444-24-2-4-44-24-2-2-24-2-2-21-2-21-2-2-21-2-21-42222-411112-122-12-1-1-1-100000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ634444-2-2444-2-2-24-2-2-2441-2-21-2-2-21-2-21-2-24-24-2-211111-2-21-2-21111000044000000000000000000000000-2-2-2-2000011110000000000000000
χ644444-2-2444-2-2-24-2-2-2441-2-21-2-2-21-2-21-2-24-24-2-211111-2-21-2-211110000-4-400000000000000000000000022220000-1-1-1-10000000000000000
χ654444-2-24-4-4-2-2-24-2-2-2441-2-21-2-2-21-2-21-22-42-4221111-122-122-1-1-1-1000000000000000000000000000000000000003-33-30000000000000000
χ664444-2-24-4-4-2-2-24-2-2-2441-2-21-2-2-21-2-21-22-42-4221111-122-122-1-1-1-100000000000000000000000000000000000000-33-330000000000000000
χ6744-4-44-24-4424-24-4-42-4-4-24-22-422-24-22-42-444-4-2-222-22-42-24-222-2-20000000000000000000000000000000000000000000000000000000000
χ6844-4-44-2-24-424-2-2-4-4222-2-2122-1-1-2-2122-2-2-42421-1-11-2-2122-111-1-14-40000-2-222000000000000-2211-1-1000000000000000000000000000000
χ6944-4-44-2-24-424-2-2-4-4222-2-2122-1-1-2-2122-2-2-42421-1-11-2-2122-111-1-1-44000022-2-20000000000002-2-1-111000000000000000000000000000000
χ7044-4-44-2-2-4424-2-2-4-4222-2-2122-1-1-2-2122224-2-4-21-1-1122-1-2-21-1-111000000−2i32i32i3−2i300000000000000i3−i3−i3i3000000000000000000000000000000
χ7144-4-44-2-2-4424-2-2-4-4222-2-2122-1-1-2-2122224-2-4-21-1-1122-1-2-21-1-1110000002i3−2i3−2i32i300000000000000−i3i3i3−i3000000000000000000000000000000
χ7244-4-4-244-44-4-24422-4-4-4-2-2422-4-4-2-2422-4-4-2424-222-222-4-2-2422-2-20000000000000000000000000000000000000000000000000000000000
χ7344-4-4-24-24-4-4-24-222-422-21-22-122-21-22-14-222-2-41-1-11-21-22-1211-1-1004i−4i000000−2i−2i2i2i00000000000000−2i2i0000ii−i−i00000000000000000000
χ7444-4-4-24-24-4-4-24-222-422-21-22-122-21-22-14-222-2-41-1-11-21-22-1211-1-100−4i4i0000002i2i−2i−2i000000000000002i−2i0000−i−iii00000000000000000000
χ7544-4-4-24-2-44-4-24-222-422-21-22-122-21-22-1-42-2-2241-1-112-12-21-2-1-111000000000023−23−232300000000000000000000−333−300000000000000000000
χ7644-4-4-24-2-44-4-24-222-422-21-22-122-21-22-1-42-2-2241-1-112-12-21-2-1-1110000000000−232323−23000000000000000000003−3−3300000000000000000000
χ7744-4-4-2-244-42-2-24222-4-41-2-2-12221-2-2-12-242-4-221-1-111-2-2-12211-1-100004i−4i000000000000000000000000−2i−2i2i2i0000ii−i−i0000000000000000
χ7844-4-4-2-244-42-2-24222-4-41-2-2-12221-2-2-12-242-4-221-1-111-2-2-12211-1-10000−4i4i0000000000000000000000002i2i−2i−2i0000−i−iii0000000000000000
χ7944-4-4-2-24-442-2-24222-4-41-2-2-12221-2-2-122-4-242-21-1-11-1221-2-2-1-111000000000000000000000000000000000000003i−3i−3i3i0000000000000000
χ8044-4-4-2-24-442-2-24222-4-41-2-2-12221-2-2-122-4-242-21-1-11-1221-2-2-1-11100000000000000000000000000000000000000−3i3i3i−3i0000000000000000
χ814-44-4444004-4-4-44-4-4-444444-44-4-4-4-4-4400000044-4-400000000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-2004-4-424-4-42-24-2-242-22-422-4-2000000-2-2220000000000000000000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ834-44-444-2004-4-424-4-42-24-2-242-22-422-4-2000000-2-22200000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ844-44-44-2400-2-42-44-42-44-24-2-2-4-222-4224000000-2-22200000000000000000000000000000000000000000000000000000000006−66−6000000
χ854-44-44-2400-2-42-44-42-44-24-2-2-4-222-4224000000-2-2220000000000000000000000000000000000000000000000000000000000−66−66000000
χ864-44-4-2440042-4-4-22-4-44-2-24-224-422-42-2000000-2-222000000000000000000000000000000000000000000000000000000000000006−66−600
χ874-44-4-2440042-4-4-22-4-44-2-24-224-422-42-2000000-2-22200000000000000000000000000000000000000000000000000000000000000−66−6600
χ884-4-4444400-4-4-4-4-4444-4444-44-44-4-4-44-40000004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-200-4-4-42-444-224-2-2-4-22-2-42242000000-22-22000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ904-4-4444-200-4-4-42-444-224-2-2-4-22-2-42242000000-22-220000000000000000000000000000−232323−23000000000000000000000000000000000000
χ914-4-444-24002-42-4-44-24-4-24-2242-22-42-2-4000000-22-220000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ924-4-444-24002-42-4-44-24-4-24-2242-22-42-2-4000000-22-220000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ934-4-44-24400-42-4-42-244-4-2-242-2-4422-4-22000000-22-22000000000000000000000000000000000000000000000000000000000000006−6−6600
χ944-4-44-24400-42-4-42-244-4-2-242-2-4422-4-22000000-22-2200000000000000000000000000000000000000000000000000000000000000−666−600
χ958888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-48-84-4-4-444444222-2-2-2-2222-2-2-4-444-44-111-1222-2-2-2-1-1110000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-4-884-4-4-444444222-2-2-2-2222-2-244-4-44-4-111-1-2-2-222211-1-10000000000000000000000000000000000000000000000000000000000
χ998-88-88-4-400-4-8448-844-4-4-42-442-244-24-400000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-40084-84-44-84-4-42-4-4-2-444-244200000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800-444-8-444-882-4-424-44-244-2-400000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400-4444-4444-42222-22-2-2-2-2-22000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-4444-4444-42222-22-2-2-2-2-22000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-4004-844-88-4-44-4-424-4-2244-2-440000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-400-84-844-48-44-42-4424-44-24-4-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800444-84-4-48-82-4-4-2-44-4-244240000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-40044444-4-4-44222-22-22-2-2-22-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-40044444-4-4-44222-22-22-2-2-22-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000

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