Finite Group Databasebeta

← Group #13155755

Character table — Group #13155755

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order12442333466612121212121233366666612121212121212121236666661212121212121224668888121224242424888824242424666121212242424242424242424242424242444881212121224242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
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
χ911-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-111i−ii−i-1-1ii−i−iii−i−iii−i−i111-1-1-1i−ii−ii−iii−i−iii−i−ii−i1-1ii−i−ii−i11-1-11-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-111i−i−ii-1-1ii−i−iii−i−iii−i−i111-1-1-1−iii−i−iiii−i−i−i−iii−ii-11−i−iiii−i-1-111-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-111−iii−i-1-1−i−iii−i−iii−i−iii111-1-1-1i−i−iii−i−i−iiiii−i−ii−i-11ii−i−i−ii-1-111-11
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-111−ii−ii-1-1−i−iii−i−iii−i−iii111-1-1-1−ii−ii−ii−i−iii−i−iii−ii1-1−i−iii−ii11-1-11-1
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-11-1-1i−ii−i11ii−i−i−i−iii−i−iii-1-1-1111i−ii−ii−iii−i−iii−i−i−ii1-1−i−iii−ii11-1-1-11
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-11-1-1i−i−ii11ii−i−i−i−iii−i−iii-1-1-1111−iii−i−iiii−i−i−i−iiii−i-11ii−i−i−ii-1-1111-1
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-11-1-1−iii−i11−i−iiiii−i−iii−i−i-1-1-1111i−i−iii−i−i−iiiii−i−i−ii-11−i−iiii−i-1-1111-1
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-11-1-1−ii−ii11−i−iiiii−i−iii−i−i-1-1-1111−ii−ii−ii−i−iii−i−iiii−i1-1ii−i−ii−i11-1-1-11
χ172222222-1222-12222-1-12-1-12-12-1-122-1-1-122-1-12-12-1-1-1-1-12-1-1-1-1-1-122-1-12200-1-1-1-1-1-12222-1-1-1-12-1-12-1-1002200-1-1-1-1000000000000-1-1000000
χ182222222-1222-12222-1-12-1-12-12-1-122-1-1-122-1-12-12-1-1-1-1-12-1-1-1-1-1-122-1-1-2-200-1-11111-2-2-2-211112-1-12-1-100-2-200111100000000000011000000
χ192222222-1222-12222-1-12-1-12-12-1-122-1-1-122-1-12-12-1-1-1-1-12-1-1-1-1-1-1-2-211220011-1-1-1-1-2-2-2-21111-211-211002200-1-1-1-100000000000011000000
χ202222222-1222-12222-1-12-1-12-12-1-122-1-1-122-1-12-12-1-1-1-1-12-1-1-1-1-1-1-2-211-2-2001111112222-1-1-1-1-211-21100-2-2001111000000000000-1-1000000
χ21222222-1222-12-1-12222-12-122-12-1-1-12-1-1-1-1222-1-12-1-1-1-1-12-1-1-1-1-12222002222000000000000-1-1-1-1-1-1-1-100220000-1-1-1-12200-1-1-1-100000000
χ22222222-1222-12-1-12222-12-122-12-1-1-12-1-1-1-1222-1-12-1-1-1-1-12-1-1-1-1-1222200-2-222000000000000-1-1-1-1-1-11100-2-200001111-2-200111100000000
χ23222222-1222-12-1-12222-12-122-12-1-1-12-1-1-1-1222-1-12-1-1-1-1-12-1-1-1-1-1-2-2-2-20022-2-2000000000000111111-1-100220000-1-1-1-1-2-200111100000000
χ24222222-1222-12-1-12222-12-122-12-1-1-12-1-1-1-1222-1-12-1-1-1-1-12-1-1-1-1-1-2-2-2-200-2-2-2-20000000000001111111100-2-2000011112200-1-1-1-100000000
χ2522222-1222-12222-1-122-1-12-12-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1000022220022220000000000000022-1-1-1-1-1-1-1-1-1-1-1-10022000000-1-1-1-100
χ2622222-1222-12222-1-122-1-12-12-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1000022-2-200222200000000000000-2-2-1-111-1-1-1-1111100-2-2000000111100
χ2722222-1222-12222-1-122-1-12-12-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-10000-2-22200-2-2-2-2000000000000002211-1-11111-1-1-1-100-2-2000000111100
χ2822222-1222-12222-1-122-1-12-12-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-10000-2-2-2-200-2-2-2-200000000000000-2-21111111111110022000000-1-1-1-100
χ292222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-222000000000000002-22-222220000000000000000000000000000-2-2000000
χ302222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-22200000000000000-22-22-2-2-2-2000000000000000000000000000022000000
χ312222-222-1-222-12222-1-12-1-1-212-1-1-2-21-1-122-1-1-2-1-21111-1-21111-1-100−i3i30000−i3i3−i3i3−i3i32-22-2-1-1-1-10−i3i30−i3i3000000−i3i3−i3i300000000000011000000
χ322222-222-1-222-12222-1-12-1-1-212-1-1-2-21-1-122-1-1-2-1-21111-1-21111-1-100−i3i30000−i3i3i3−i3i3−i3-22-2211110−i3i30−i3i3000000i3−i3i3−i3000000000000-1-1000000
χ332222-222-1-222-12222-1-12-1-1-212-1-1-2-21-1-122-1-1-2-1-21111-1-21111-1-100i3−i30000i3−i3−i3i3−i3i3-22-2211110i3−i30i3−i3000000−i3i3−i3i3000000000000-1-1000000
χ342222-222-1-222-12222-1-12-1-1-212-1-1-2-21-1-122-1-1-2-1-21111-1-21111-1-100i3−i30000i3−i3i3−i3i3−i32-22-2-1-1-1-10i3−i30i3−i3000000i3−i3i3−i300000000000011000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2000000000000002i−2i−2i2i2i2i−2i−2i0000000000000000000000000000−2i2i000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-200000000000000−2i2i2i−2i−2i−2i2i2i00000000000000000000000000002i−2i000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-12-12-1-12-2111-2-211-2-12-1-1-1-1-1-211111100−i3i30000i3−i33−3−332i−2i−2i2i−i−iii0−i3i30i3−i30000003−3−33000000000000i−i000000
χ3822-2-2222-1-222-1-2-2-2-2112-1-12-12-1-12-2111-2-211-2-12-1-1-1-1-1-211111100−i3i30000i3−i3−333−3−2i2i2i−2iii−i−i0−i3i30i3−i3000000−333−3000000000000−ii000000
χ3922-2-2222-1-222-1-2-2-2-2112-1-12-12-1-12-2111-2-211-2-12-1-1-1-1-1-211111100i3−i30000−i3i33−3−33−2i2i2i−2iii−i−i0i3−i30−i3i30000003−3−33000000000000−ii000000
χ4022-2-2222-1-222-1-2-2-2-2112-1-12-12-1-12-2111-2-211-2-12-1-1-1-1-1-211111100i3−i30000−i3i3−333−32i−2i−2i2i−i−iii0i3−i30−i3i3000000−333−3000000000000i−i000000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-212-1-1-22-111-2-2112-1-21111-12-1-1-1-1112-2-1-12i−2i0011−i−iii2i2i−2i−2i−i−iii2-1-1-211002i−2i00−i−iii000000000000−ii000000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-212-1-1-22-111-2-2112-1-21111-12-1-1-1-1112-2-1-1−2i2i0011ii−i−i−2i−2i2i2iii−i−i2-1-1-21100−2i2i00ii−i−i000000000000i−i000000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-212-1-1-22-111-2-2112-1-21111-12-1-1-1-111-22112i−2i00-1-1−i−iii−2i−2i2i2iii−i−i-2112-1-1002i−2i00−i−iii000000000000i−i000000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-212-1-1-22-111-2-2112-1-21111-12-1-1-1-111-2211−2i2i00-1-1ii−i−i2i2i−2i−2i−i−iii-2112-1-100−2i2i00ii−i−i000000000000−ii000000
χ4522-2-2-22-1222-1211-2-2-2-2-12-1-2-2-12-11-121111-2-22-11-2111-1-12-1-1-1112-222002i−2i-2-2000000000000-1-1-1111−ii002i−2i0000−i−iii2i−2i00−i−iii00000000
χ4622-2-2-22-1222-1211-2-2-2-2-12-1-2-2-12-11-121111-2-22-11-2111-1-12-1-1-1112-22200−2i2i-2-2000000000000-1-1-1111i−i00−2i2i0000ii−i−i−2i2i00ii−i−i00000000
χ4722-2-2-22-1222-1211-2-2-2-2-12-1-2-2-12-11-121111-2-22-11-2111-1-12-1-1-111-22-2-2002i−2i22000000000000111-1-1-1−ii002i−2i0000−i−iii−2i2i00ii−i−i00000000
χ4822-2-2-22-1222-1211-2-2-2-2-12-1-2-2-12-11-121111-2-22-11-2111-1-12-1-1-111-22-2-200−2i2i22000000000000111-1-1-1i−i00−2i2i0000ii−i−i2i−2i00−i−iii00000000
χ4922-2-2-2-1222-122-2-211-2-2-1-121-2-1-12-222-2-21111-1-111-211-1-1-12-1-11100002i−2i2i−2i002i2i−2i−2i000000000000002i−2i−ii−ii−i−iii−i−iii002-2000000-1-11100
χ5022-2-2-2-1222-122-2-211-2-2-1-121-2-1-12-222-2-21111-1-111-211-1-1-12-1-11100002i−2i−2i2i002i2i−2i−2i00000000000000−2i2i−iii−i−i−iiiii−i−i00-2200000011-1-100
χ5122-2-2-2-1222-122-2-211-2-2-1-121-2-1-12-222-2-21111-1-111-211-1-1-12-1-1110000−2i2i2i−2i00−2i−2i2i2i000000000000002i−2ii−i−iiii−i−i−i−iii00-2200000011-1-100
χ5222-2-2-2-1222-122-2-211-2-2-1-121-2-1-12-222-2-21111-1-111-211-1-1-12-1-1110000−2i2i−2i2i00−2i−2i2i2i00000000000000−2i2ii−ii−iii−i−iii−i−i002-2000000-1-11100
χ53444444-2-244-2-2-2-244-2-2-2-214-2-2-21-2-2-211-2-2-2-241-2-21111-2-21111144-2-20000-2-2000000000000-211-211000000000000000000000000000000
χ54444444-2-244-2-2-2-244-2-2-2-214-2-2-21-2-2-211-2-2-2-241-2-21111-2-211111-4-4220000220000000000002-1-12-1-1000000000000000000000000000000
χ5544444-24-24-24-244-2-2-2-2-21-2-2-2-21-244-2-2-2-2-211-21-21-2111-21-211110000440000-2-2-2-20000000000000000-2-200111100000000000000000000
χ5644444-24-24-24-244-2-2-2-2-21-2-2-2-21-244-2-2-2-2-211-21-21-2111-21-211110000-4-40000222200000000000000002200-1-1-1-100000000000000000000
χ5744444-2-244-2-24-2-2-2-2441-2-2-241-2-2-2-24-2-211-2-2-211-2-21111-2-211110000004400000000000000000000-2-200-2-2000011110000000000000000
χ5844444-2-244-2-24-2-2-2-2441-2-2-241-2-2-2-24-2-211-2-2-211-2-21111-2-21111000000-4-4000000000000000000002200220000-1-1-1-10000000000000000
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χ604444-44-2-2-44-2-2-2-244-2-2-2-21-42-2-2122211-2-2-2-2-4122-1-1-1122-1-1-11100−2i32i30000−2i32i30000000000000i3−i30i3−i3000000000000000000000000000000
χ614444-44-2-2-44-2-2-2-244-2-2-2-21-42-2-2122211-2-2-2-2-4122-1-1-1122-1-1-111002i3−2i300002i3−2i30000000000000−i3i30−i3i3000000000000000000000000000000
χ624444-4-244-4-24444-2-244-2-242-4-2-24-4-4-444-2-2-2-22-222-422-222-422-2-20000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-244-2-2-2-2-21-222-21-2-4-42-2-2-2-211212-12-1-112-12-1-1110000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
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χ7244-4-44-24-2-4-24-2-4-42222-21-2-2-2-21-24-422222-1-121-21-21112-12-1-1-1-10000000000−232323−23000000000000000000003−3−3300000000000000000000
χ7344-4-44-2-24-4-2-242222-4-41-2-2-241-2-2-22-422-1-122211-2-2111-122-1-1-1-1000000000000000000000000000000000000003i−3i−3i3i0000000000000000
χ7444-4-44-2-24-4-2-242222-4-41-2-2-241-2-2-22-422-1-122211-2-2111-122-1-1-1-100000000000000000000000000000000000000−3i3i3i−3i0000000000000000
χ7544-4-4-44-2-244-2-222-4-422-2-21-42-2-212-2-2-1-122224122-1-1-11-2-2111-1-14-4-2-2000022000000000000-2112-1-1000000000000000000000000000000
χ7644-4-4-44-2-244-2-222-4-422-2-21-42-2-212-2-2-1-122224122-1-1-11-2-2111-1-1-44220000-2-20000000000002-1-1-211000000000000000000000000000000
χ7744-4-4-4-24-24-24-2-4-42222-21-222-21-2-44-22222-1-1-212-12-1-11-21-211-1-100004i−4i0000−2i−2i2i2i0000000000000000−2i2i00ii−i−i00000000000000000000
χ7844-4-4-4-24-24-24-2-4-42222-21-222-21-2-44-22222-1-1-212-12-1-11-21-211-1-10000−4i4i00002i2i−2i−2i00000000000000002i−2i00−i−iii00000000000000000000
χ7944-4-4-4-2-244-2-242222-4-41-2-22-41-2-22-2422-1-122-21-122-1-111-2-211-1-10000004i−4i00000000000000000000−2i2i00−2i2i0000ii−i−i0000000000000000
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χ824-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-200-422000−2i2i4i−4i−2i2i0-200000200000−2i2i000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000000000000000
χ834-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-200-422000−2i2i4i−4i−2i2i0-200000200000−2i2i0000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000000000000000
χ844-44i−4i04-240-42-4−2i2i4i−4i4i−4i-24-2002-42000−2i2i−2i2i4i−4i0-200000200000−2i2i0000000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000
χ854-44i−4i04-240-42-4−2i2i4i−4i4i−4i-24-2002-42000−2i2i−2i2i4i−4i0-200000200000−2i2i0000000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000
χ864-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-40004i−4i−2i2i−2i2i0-200000200000−2i2i00000000000000000000000000000000000000000000000000006−6i6−i600
χ874-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-40004i−4i−2i2i−2i2i0-200000200000−2i2i0000000000000000000000000000000000000000000000000000−66−i6i600
χ884-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i44400-4-4-4000−4i4i−4i4i−4i4i0400000-400000−4i4i0000000000000000000000000000000000000000000000000000000000
χ894-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-200-4220002i−2i−4i4i2i−2i0-2000002000002i−2i0000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000
χ904-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-200-4220002i−2i−4i4i2i−2i0-2000002000002i−2i000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000
χ914-4−4i4i04-240-42-42i−2i−4i4i−4i4i-24-2002-420002i−2i2i−2i−4i4i0-2000002000002i−2i0000000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000
χ924-4−4i4i04-240-42-42i−2i−4i4i−4i4i-24-2002-420002i−2i2i−2i−4i4i0-2000002000002i−2i0000000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000
χ934-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-4000−4i4i2i−2i2i−2i0-2000002000002i−2i00000000000000000000000000000000000000000000000000006−6−i6i600
χ944-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-4000−4i4i2i−2i2i−2i0-2000002000002i−2i0000000000000000000000000000000000000000000000000000−66i6−i600
χ9588888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4222-4-4-4222222-4-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222442224442222224-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-8-4-4-4444444222-4-4222-444-2-2-2-2-2-24-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-4-4-48-4-4-4444444222442224-4-4-2-2-2-2-2-2-4-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000
χ998-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-420044-20002i−2i−4i4i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0-48-404-848i−8i−4i4i−4i4i-42-4004-24000−4i4i−4i4i2i−2i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-400-244000−4i4i2i−2i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-420044-2000−2i2i4i−4i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-48-404-84−8i8i4i−4i4i−4i-42-4004-240004i−4i4i−4i−2i2i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-400-2440004i−4i−2i2i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.