Finite Group Databasebeta

← Group #13166517

Character table — Group #13166517

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222666644448888888888242424244444888888888824242424999918181818181818181818545454549999181818181818181818185454545499991818181818181818181854545454
order1222344666121212122244366631212666121212126612123666312126661212121266121222226446661212121222444444124412121212121212444444441244121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ511-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i
χ611-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii
χ711-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii
χ811-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000
χ1222-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000
χ132-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000
χ142-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000
χ152-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000
χ162-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000
χ172-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000
χ182-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000
χ19111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-111
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-1
χ2311-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−ii-1-111-1−ii-111−i−iii-11−ii
χ2411-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−i-1-111-1−ii-111−i−iii1-1i−i
χ2511-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−i-1-111-1i−i-111ii−i−i-11i−i
χ2611-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−ii-1-111-1i−i-111ii−i−i1-1−ii
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000-2-2-2-21-2-211111110000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-10000
χ2922-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i0000-2-2221−2i2i1-1-1ii−i−i0000
χ3022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii0000-2-22212i−2i1-1-1−i−iii0000
χ312-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000-22-22-20022-200000000-22-22-20022-200000000
χ322-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i30000-22-22100-1-11i3−i3i3−i30000
χ332-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i30000-22-22100-1-11−i3i3−i3i30000
χ342-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000-222-2-2002-2200000000-222-2-2002-2200000000
χ352-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000-222-2100-11-1−333−30000-222-2100-11-1−333−30000
χ362-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000-222-2100-11-13−3−330000-222-2100-11-13−3−330000
χ37111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3811111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ3911111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111iiiii−i−iiii−i−i−i−iii−i−i−i−i−i−i−iii−i−i−iiiii−i−iii
χ4011111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1iiiii−i−iiii−i−i−i−i−i−iii−i−i−i−i−iii−i−i−iiiiiii−i−i
χ4111-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−iiii−i−ii-11i−i−i-1-111i−i-11−i−iii−i1-1−iii11-1-1−ii1-1
χ4211-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−iii−i−ii-11i−i−i-1-111−ii1-1−i−iii−i1-1−iii11-1-1i−i-11
χ4311-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−iii−i−ii1-1i−i−i11-1-1i−i1-1−i−iii−i-11−iii-1-111−ii-11
χ4411-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−iiii−i−ii1-1i−i−i11-1-1−ii-11−i−iii−i-11−iii-1-111i−i1-1
χ452222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-2111111100002i2i2i2i−i2i2i−i−i−i−i−i−i−i0000−2i−2i−2i−2ii−2i−2iiiiiiii0000
χ462222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-100002i2i2i2i−i−2i−2i−i−i−iiiii0000−2i−2i−2i−2ii2i2iiii−i−i−i−i0000
χ4722-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i00002i2i−2i−2i−i-22−iii11-1-10000−2i−2i2i2ii2-2i−i−i-1-1110000
χ4822-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii00002i2i−2i−2i−i2-2−iii-1-1110000−2i−2i2i2ii-22i−i−i11-1-10000
χ492-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000-22-22-20022-2000000002i−2i2i−2i2i00−2i−2i2i00000000−2i2i−2i2i−2i002i2i−2i00000000
χ502-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i300002i−2i2i−2i−i00ii−i3−33−30000−2i2i−2i2ii00−i−ii−33−330000
χ512-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i300002i−2i2i−2i−i00ii−i−33−330000−2i2i−2i2ii00−i−ii3−33−30000
χ522-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000-222-2-2002-22000000002i−2i−2i2i2i00−2i2i−2i00000000−2i2i2i−2i−2i002i−2i2i00000000
χ532-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000-222-2100-11-1−333−300002i−2i−2i2i−i00i−iii3−i3−i3i30000−2i2i2i−2ii00−ii−i−i3i3i3−i30000
χ542-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000-222-2100-11-13−3−3300002i−2i−2i2i−i00i−ii−i3i3i3−i30000−2i2i2i−2ii00−ii−ii3−i3−i3i30000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii
χ5611111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i−i−i
χ5711111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111−i−i−i−i−iii−i−i−iiiii−i−iiiiiiii−i−iiii−i−i−i−iii−i−i
χ5811111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1−i−i−i−i−iii−i−i−iiiiiii−i−iiiiii−i−iiii−i−i−i−i−i−iii
χ5911-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−ii−i−iii−i1-1−iii11-1-1−ii1-1ii−i−ii-11i−i−i-1-111i−i-11
χ6011-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−i−i−iii−i1-1−iii11-1-1i−i-11ii−i−ii-11i−i−i-1-111−ii1-1
χ6111-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−i−i−iii−i-11−iii-1-111−ii-11ii−i−ii1-1i−i−i11-1-1i−i1-1
χ6211-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−ii−i−iii−i-11−iii-1-111i−i1-1ii−i−ii1-1i−i−i11-1-1−ii-11
χ632222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000−2i−2i−2i−2ii−2i−2iiiiiiii00002i2i2i2i−i2i2i−i−i−i−i−i−i−i0000
χ642222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000−2i−2i−2i−2ii2i2iiii−i−i−i−i00002i2i2i2i−i−2i−2i−i−i−iiiii0000
χ6522-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i0000−2i−2i2i2ii2-2i−i−i-1-11100002i2i−2i−2i−i-22−iii11-1-10000
χ6622-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii0000−2i−2i2i2ii-22i−i−i11-1-100002i2i−2i−2i−i2-2−iii-1-1110000
χ672-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000-22-22-20022-200000000−2i2i−2i2i−2i002i2i−2i000000002i−2i2i−2i2i00−2i−2i2i00000000
χ682-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i30000−2i2i−2i2ii00−i−ii−33−3300002i−2i2i−2i−i00ii−i3−33−30000
χ692-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i30000−2i2i−2i2ii00−i−ii3−33−300002i−2i2i−2i−i00ii−i−33−330000
χ702-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000-222-2-2002-2200000000−2i2i2i−2i−2i002i−2i2i000000002i−2i−2i2i2i00−2i2i−2i00000000
χ712-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000-222-2100-11-1−333−30000−2i2i2i−2ii00−ii−i−i3i3i3−i300002i−2i−2i2i−i00i−iii3−i3−i3i30000
χ722-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000-222-2100-11-13−3−330000−2i2i2i−2ii00−ii−ii3−i3−i3i300002i−2i−2i2i−i00i−ii−i3i3i3−i30000
χ73444444444444444444111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000
χ7444444444444444-4-4-4-411111111111111-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000000
χ7544444-4-4444-4-4-4-444-4-411111-1-1111-1-1-1-111-1-1-2-2-2-2-222-2-2-22222-2-222000000000000000000000000000000000000000000000000000000
χ7644444-4-4444-4-4-4-4-4-44411111-1-1111-1-1-1-1-1-111-2-2-2-2-222-2-2-2222222-2-2000000000000000000000000000000000000000000000000000000
χ7744-4-444i−4i4-4-44i4i−4i−4i4-44i−4i11-1-11i−i1-1-1ii−i−i1-1i−i-2-222-2−2i2i-222−2i−2i2i2i-22−2i2i000000000000000000000000000000000000000000000000000000
χ7844-4-444i−4i4-4-44i4i−4i−4i-44−4i4i11-1-11i−i1-1-1ii−i−i-11−ii-2-222-2−2i2i-222−2i−2i2i2i2-22i−2i000000000000000000000000000000000000000000000000000000
χ7944-4-44−4i4i4-4-4−4i−4i4i4i4-4−4i4i11-1-11−ii1-1-1−i−iii1-1−ii-2-222-22i−2i-2222i2i−2i−2i-222i−2i000000000000000000000000000000000000000000000000000000
χ8044-4-44−4i4i4-4-4−4i−4i4i4i-444i−4i11-1-11−ii1-1-1−i−iii-11i−i-2-222-22i−2i-2222i2i−2i−2i2-2−2i2i000000000000000000000000000000000000000000000000000000
χ818888-488-4-4-4-4-4-4-400002222-122-1-1-1-1-1-1-10000-4-4-4-42-4-422222220000000000000000000000000000000000000000000000000000000000
χ828888-4-8-8-4-4-4444400002222-1-2-2-1-1-111110000-4-4-4-4244222-2-2-2-20000000000000000000000000000000000000000000000000000000000
χ8388-8-8-48i−8i-444−4i−4i4i4i000022-2-2-12i−2i-111−i−iii0000-4-4442−4i4i2-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4−8i8i-4444i4i−4i−4i000022-2-2-1−2i2i-111ii−i−i0000-4-44424i−4i2-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ858-88-8800-8-88000000002-22-2200-2-2200000000-44-44-40044-400000000000000000000000000000000000000000000000000000000000000
χ868-88-8-40044-4−4i34i3−4i34i300002-22-2-10011-1−i3i3−i3i30000-44-44200-2-222i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ878-88-8-40044-44i3−4i34i3−4i300002-22-2-10011-1i3−i3i3−i30000-44-44200-2-22−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ888-8-88800-88-8000000002-2-22200-22-200000000-444-4-4004-4400000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4004-4443−43−434300002-2-22-1001-113−3−330000-444-4200-22-2−232323−230000000000000000000000000000000000000000000000000000000000
χ908-8-88-4004-44−434343−4300002-2-22-1001-11−333−30000-444-4200-22-223−23−23230000000000000000000000000000000000000000000000000000000000
χ91444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111000000000000000000000000000000000000000000000000000000
χ9244444444444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222211111111111111-1-1-1-1000000000000000000000000000000000000000000000000000000
χ9344444-4-4444-4-4-4-444-4-4-2-2-2-2-222-2-2-22222-2-22211111-1-1111-1-1-1-111-1-1000000000000000000000000000000000000000000000000000000
χ9444444-4-4444-4-4-4-4-4-444-2-2-2-2-222-2-2-2222222-2-211111-1-1111-1-1-1-1-1-111000000000000000000000000000000000000000000000000000000
χ9544-4-444i−4i4-4-44i4i−4i−4i4-44i−4i-2-222-2−2i2i-222−2i−2i2i2i-22−2i2i11-1-11i−i1-1-1ii−i−i1-1i−i000000000000000000000000000000000000000000000000000000
χ9644-4-444i−4i4-4-44i4i−4i−4i-44−4i4i-2-222-2−2i2i-222−2i−2i2i2i2-22i−2i11-1-11i−i1-1-1ii−i−i-11−ii000000000000000000000000000000000000000000000000000000
χ9744-4-44−4i4i4-4-4−4i−4i4i4i4-4−4i4i-2-222-22i−2i-2222i2i−2i−2i-222i−2i11-1-11−ii1-1-1−i−iii1-1−ii000000000000000000000000000000000000000000000000000000
χ9844-4-44−4i4i4-4-4−4i−4i4i4i-444i−4i-2-222-22i−2i-2222i2i−2i−2i2-2−2i2i11-1-11−ii1-1-1−i−iii-11i−i000000000000000000000000000000000000000000000000000000
χ998888-488-4-4-4-4-4-4-40000-4-4-4-42-4-4222222200002222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1008888-4-8-8-4-4-444440000-4-4-4-4244222-2-2-2-200002222-1-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48i−8i-444−4i−4i4i4i0000-4-4442−4i4i2-2-22i2i−2i−2i000022-2-2-12i−2i-111−i−iii0000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4−8i8i-4444i4i−4i−4i0000-4-44424i−4i2-2-2−2i−2i2i2i000022-2-2-1−2i2i-111ii−i−i0000000000000000000000000000000000000000000000000000000000
χ1038-88-8800-8-8800000000-44-44-40044-4000000002-22-2200-2-2200000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-40044-4−4i34i3−4i34i30000-44-44200-2-222i3−2i32i3−2i300002-22-2-10011-1−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1058-88-8-40044-44i3−4i34i3−4i30000-44-44200-2-22−2i32i3−2i32i300002-22-2-10011-1i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1068-8-88800-88-800000000-444-4-4004-44000000002-2-22200-22-200000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4004-4443−43−43430000-444-4200-22-2−232323−2300002-2-22-1001-113−3−330000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4004-44−434343−430000-444-4200-22-223−23−232300002-2-22-1001-11−333−30000000000000000000000000000000000000000000000000000000000

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