Finite Group Databasebeta

← Group #10591109

Character table — Group #10591109

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444666666666666121212121212363611112222222222222244444444446666666666661212121212123636
order124423346666121212121212366661212121212444412121212121212122466121288224426646666121212121212666661212121212444412121212121212122466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i11-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i
χ611-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i-11-1-111−ii11-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i-11-1-111−ii
χ711-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii11-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii
χ811-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii-11-1-111i−i11-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii-11-1-111i−i
χ9222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ10222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ1122222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1222222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-1-2-2-2-21111111100000000
χ132222-222-22-2-22-2-222222-2-2-22-2-2-222000000000000000000002222-222-22-2-22-2-222222-2-2-22-2-2-22200000000000000000000
χ142222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000−i3i3−i3i300
χ152222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000i3−i3i3−i300
χ162222-2-12-2-111211-1-122-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-2-111211-1-122-1-211-1-211-1-1000033−3−333−3−300000000
χ172222-2-12-2-111211-1-122-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-2-111211-1-122-1-211-1-211-1-10000−3−333−3−33300000000
χ1822-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000
χ1922-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000−i3i3i3−i300
χ2022-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000i3−i3−i3i300
χ2122-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000−i3−i3i3i3i3i3−i3−i30000000022-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000−i3−i3i3i3i3i3−i3−i300000000
χ2222-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000i3i3−i3−i3−i3−i3i3i30000000022-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000i3i3−i3−i3−i3−i3i3i300000000
χ2322-2-2-22-122-2-2-122-2-211-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-122-2-2-122-2-211-1111-1-1-1-1110000000000002-2-1-11100
χ2422-2-2-22-122-2-2-122-2-211-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-122-2-2-122-2-211-1111-1-1-1-111000000000000-2211-1-100
χ2522-2-2-2-122-1112-1-111-2-2-1-211-12-1-1112i2i−2i−2i−i−i−i−iiiii0000000022-2-2-2-122-1112-1-111-2-2-1-211-12-1-1112i2i−2i−2i−i−i−i−iiiii00000000
χ2622-2-2-2-122-1112-1-111-2-2-1-211-12-1-111−2i−2i2i2iiiii−i−i−i−i0000000022-2-2-2-122-1112-1-111-2-2-1-211-12-1-111−2i−2i2i2iiiii−i−i−i−i00000000
χ272-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ282-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ292-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii1+i−1−i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000002-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii1+i−1−i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000
χ302-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii−1−i1+i−1+i1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000002-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii−1−i1+i−1+i1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000
χ312-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii1+i−1−i1−i−1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000002-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii1+i−1−i1−i−1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000
χ322-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii−1−i1+i−1+i1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000002-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii−1−i1+i−1+i1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000
χ332-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ342-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ352-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i1−i−1+i1+i−1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000002-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i1−i−1+i1+i−1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000
χ362-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i−1+i1−i−1−i1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000002-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i−1+i1−i−1−i1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000
χ372-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i1−i−1+i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000002-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i1−i−1+i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000000
χ382-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i−1+i1−i−1−i1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000002-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i−1+i1−i−1−i1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000000
χ3944444-2-24-2-2-2-2-2-2-2-2-2-21-2111-211110000000000000000000044444-2-24-2-2-2-2-2-2-2-2-2-21-2111-2111100000000000000000000
χ404444-4-2-2-4-222-222-2-2-2-212-1-112-1-111000000000000000000004444-4-2-2-4-222-222-2-2-2-212-1-112-1-11100000000000000000000
χ4144-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-10000000000000000000044-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-100000000000000000000
χ4244-4-4-4-2-24-222-2-2-2222212-1-11-211-1-10000000000000000000044-4-4-4-2-24-222-2-2-2222212-1-11-211-1-100000000000000000000
χ434-44i−4i04-20-4002004i−4i−2i2i-20002000−2i2i000000000000000000004-44i−4i04-20-4002004i−4i−2i2i-20002000−2i2i00000000000000000000
χ444-44i−4i0-2-202−2i32i3223−23−2i2i−2i2i10i3−i3-10−33i−i000000000000000000004-44i−4i0-2-202−2i32i3223−23−2i2i−2i2i10i3−i3-10−33i−i00000000000000000000
χ454-44i−4i0-2-2022i3−2i32−2323−2i2i−2i2i10−i3i3-103−3i−i000000000000000000004-44i−4i0-2-2022i3−2i32−2323−2i2i−2i2i10−i3i3-103−3i−i00000000000000000000
χ464-4−4i4i04-20-400200−4i4i2i−2i-200020002i−2i000000000000000000004-4−4i4i04-20-400200−4i4i2i−2i-200020002i−2i00000000000000000000
χ474-4−4i4i0-2-202−2i32i32−23232i−2i2i−2i10i3−i3-103−3−ii000000000000000000004-4−4i4i0-2-202−2i32i32−23232i−2i2i−2i10i3−i3-103−3−ii00000000000000000000
χ484-4−4i4i0-2-2022i3−2i3223−232i−2i2i−2i10−i3i3-10−33−ii000000000000000000004-4−4i4i0-2-2022i3−2i3223−232i−2i2i−2i10−i3i3-10−33−ii00000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ521111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ5311-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i-1-1111-1-1-1-111-1-1-11111-1111-1-1-1-111−i−iii−i−i−i−iiiii-11-1-111−ii
χ5411-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1ii−i−iiiii−i−i−i−i-11-1-111−ii-1-1111-1-1-1-111-1-1-11111-1111-1-1-1-111−i−iii−i−i−i−iiiii1-111-1-1i−i
χ5511-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii-1-1111-1-1-1-111-1-1-11111-1111-1-1-1-111ii−i−iiiii−i−i−i−i-11-1-111i−i
χ5611-1-1-11111-1-1111-1-1-1-11-1-1-11111-1-1−i−iii−i−i−i−iiiii-11-1-111i−i-1-1111-1-1-1-111-1-1-11111-1111-1-1-1-111ii−i−iiiii−i−i−i−i1-111-1-1−ii
χ57222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100-2-2-2-2-2-21-2-2-2-21-2-2-2-2111111111111000000000000-2-2111100
χ58222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100-2-2-2-2-2-21-2-2-2-21-2-2-2-211111111111100000000000022-1-1-1-100
χ5922222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-2-21-2-2111-21111-2-21-2111-21111-2-2-2-21111111100000000
χ6022222-122-1-1-12-1-1-1-122-12-1-1-12-1-1-1-1-2-2-2-21111111100000000-2-2-2-2-21-2-2111-21111-2-21-2111-211112222-1-1-1-1-1-1-1-100000000
χ612222-222-22-2-22-2-222222-2-2-22-2-2-22200000000000000000000-2-2-2-22-2-22-222-222-2-2-2-2-2222-2222-2-200000000000000000000
χ622222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000−i3i3−i3i300-2-2-2-22-212-222122-2-2111-1-1-11-1-1-11100000000000000i3−i3i3−i300
χ632222-22-1-22-2-2-1-2-222-1-1-1111-1111-1-100000000000000i3−i3i3−i300-2-2-2-22-212-222122-2-2111-1-1-11-1-1-11100000000000000−i3i3−i3i300
χ642222-2-12-2-111211-1-122-1-211-1-211-1-1000033−3−333−3−300000000-2-2-2-221-221-1-1-2-1-111-2-212-1-112-1-1110000−3−333−3−33300000000
χ652222-2-12-2-111211-1-122-1-211-1-211-1-10000−3−333−3−33300000000-2-2-2-221-221-1-1-2-1-111-2-212-1-112-1-111000033−3−333−3−300000000
χ6622-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000-2-222-2-2-22-2-2-2-2222222-2-2-2-2-22222200000000000000000000
χ6722-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000−i3i3i3−i300-2-222-2-212-2-2-212222-1-111111-1-1-1-1-100000000000000i3−i3−i3i300
χ6822-2-222-1-2222-1-2-2-2-211-1-1-1-1-11111100000000000000i3−i3−i3i300-2-222-2-212-2-2-212222-1-111111-1-1-1-1-100000000000000−i3i3i3−i300
χ6922-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000−i3−i3i3i3i3i3−i3−i300000000-2-222-21-22111-2-1-1-1-1221-21112-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000
χ7022-2-22-12-2-1-1-121111-2-2-12-1-1-1-211110000i3i3−i3−i3−i3−i3i3i300000000-2-222-21-22111-2-1-1-1-1221-21112-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000
χ7122-2-2-22-122-2-2-122-2-211-1111-1-1-1-1110000000000002-2-1-11100-2-2222-21-2-2221-2-222-1-11-1-1-11111-1-1000000000000-2211-1-100
χ7222-2-2-22-122-2-2-122-2-211-1111-1-1-1-111000000000000-2211-1-100-2-2222-21-2-2221-2-222-1-11-1-1-11111-1-10000000000002-2-1-11100
χ7322-2-2-2-122-1112-1-111-2-2-1-211-12-1-1112i2i−2i−2i−i−i−i−iiiii00000000-2-22221-2-21-1-1-211-1-12212-1-11-211-1-1−2i−2i2i2iiiii−i−i−i−i00000000
χ7422-2-2-2-122-1112-1-111-2-2-1-211-12-1-111−2i−2i2i2iiiii−i−i−i−i00000000-2-22221-2-21-1-1-211-1-12212-1-11-211-1-12i2i−2i−2i−i−i−i−iiiii00000000
χ752-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000-22−2i2i0-2-20200200−2i2i−2i2i-20002000−2i2i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ762-22i−2i0220-200-2002i−2i2i−2i2000-20002i−2i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000-22−2i2i0-2-20200200−2i2i−2i2i-20002000−2i2i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ772-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii1+i−1−i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000-22−2i2i01-20-1i3−i32−33i−i−2i2i10i3−i3-10−33i−i−1−i1+i−1+i1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000
χ782-22i−2i0-1201−i3i3-23−3−ii2i−2i-10−i3i3103−3−ii−1−i1+i−1+i1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000-22−2i2i01-20-1i3−i32−33i−i−2i2i10i3−i3-10−33i−i1+i−1−i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000
χ792-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii1+i−1−i1−i−1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000-22−2i2i01-20-1−i3i323−3i−i−2i2i10−i3i3-103−3i−i−1−i1+i−1+i1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000
χ802-22i−2i0-1201i3−i3-2−33−ii2i−2i-10i3−i310−33−ii−1−i1+i−1+i1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000-22−2i2i01-20-1−i3i323−3i−i−2i2i10−i3i3-103−3i−i1+i−1−i1−i−1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000
χ812-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000-222i−2i0-2-202002002i−2i2i−2i-200020002i−2i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ822-2−2i2i0220-200-200−2i2i−2i2i2000-2000−2i2i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000-222i−2i0-2-202002002i−2i2i−2i-200020002i−2i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ832-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i1−i−1+i1+i−1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000-222i−2i01-20-1i3−i323−3−ii2i−2i10i3−i3-103−3−ii−1+i1−i−1−i1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000
χ842-2−2i2i0-1201−i3i3-2−33i−i−2i2i-10−i3i310−33i−i−1+i1−i−1−i1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000-222i−2i01-20-1i3−i323−3−ii2i−2i10i3−i3-103−3−ii1−i−1+i1+i−1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000
χ852-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i1−i−1+i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000000-222i−2i01-20-1−i3i32−33−ii2i−2i10−i3i3-10−33−ii−1+i1−i−1−i1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000000
χ862-2−2i2i0-1201i3−i3-23−3i−i−2i2i-10i3−i3103−3i−i−1+i1−i−1−i1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000000-222i−2i01-20-1−i3i32−33−ii2i−2i10−i3i3-10−33−ii1−i−1+i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000000
χ8744444-2-24-2-2-2-2-2-2-2-2-2-21-2111-2111100000000000000000000-4-4-4-4-422-42222222222-12-1-1-12-1-1-1-100000000000000000000
χ884444-4-2-2-4-222-222-2-2-2-212-1-112-1-11100000000000000000000-4-4-4-442242-2-22-2-22222-1-211-1-211-1-100000000000000000000
χ8944-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-100000000000000000000-4-444-42242222-2-2-2-2-2-2-12-1-1-1-2111100000000000000000000
χ9044-4-4-4-2-24-222-2-2-2222212-1-11-211-1-100000000000000000000-4-444422-42-2-2222-2-2-2-2-1-211-12-1-11100000000000000000000
χ914-44i−4i04-20-4002004i−4i−2i2i-20002000−2i2i00000000000000000000-44−4i4i0-420400-200−4i4i2i−2i2000-20002i−2i00000000000000000000
χ924-44i−4i0-2-202−2i32i3223−23−2i2i−2i2i10i3−i3-10−33i−i00000000000000000000-44−4i4i0220-22i3−2i3-2−23232i−2i2i−2i-10−i3i3103−3−ii00000000000000000000
χ934-44i−4i0-2-2022i3−2i32−2323−2i2i−2i2i10−i3i3-103−3i−i00000000000000000000-44−4i4i0220-2−2i32i3-223−232i−2i2i−2i-10i3−i310−33−ii00000000000000000000
χ944-4−4i4i04-20-400200−4i4i2i−2i-200020002i−2i00000000000000000000-444i−4i0-420400-2004i−4i−2i2i2000-2000−2i2i00000000000000000000
χ954-4−4i4i0-2-202−2i32i32−23232i−2i2i−2i10i3−i3-103−3−ii00000000000000000000-444i−4i0220-22i3−2i3-223−23−2i2i−2i2i-10−i3i310−33i−i00000000000000000000
χ964-4−4i4i0-2-2022i3−2i3223−232i−2i2i−2i10−i3i3-10−33−ii00000000000000000000-444i−4i0220-2−2i32i3-2−2323−2i2i−2i2i-10i3−i3103−3i−i00000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.