Finite Group Databasebeta

← Group #13157178

Character table — Group #13157178

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122224444444444444444444444444448888888888888888888888888888888888888881818181836363636727272108108108108108108108108
order1222366633333346666666666666666661212412121212121212121212121212121212121212121212121212121212121212121212121212124444121212124121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1
χ611111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111
χ711111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii
χ811111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i
χ922222222222222-2222222222222222222-2-2000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002-22-222-2-200000000000
χ1022222222222222-2222222222222222222-2-2000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-22-22-2-22200000000000
χ112222-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-100000000
χ122222-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-21100000000
χ132222-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-2112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-21100000000
χ142222-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-2112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-211112-1-100000000
χ152222-1-1-1-122-1-1-1-1-222-1-1-1-122-1-1-1-122-1-1-1-1110−i3i3-2-2-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-22-2-1-1110−i3i300000000
χ162222-1-1-1-122-1-1-1-1-222-1-1-1-122-1-1-1-122-1-1-1-1110−i3i3-2-2-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-22-2211-1-10i3−i300000000
χ172222-1-1-1-122-1-1-1-1-222-1-1-1-122-1-1-1-122-1-1-1-1110i3−i3-2-2-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-22-2-1-1110i3−i300000000
χ182222-1-1-1-122-1-1-1-1-222-1-1-1-122-1-1-1-122-1-1-1-1110i3−i3-2-2-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-22-2211-1-10−i3i300000000
χ192-22-22-22-22222220222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000020-202-200000002−2002−2
χ202-22-22-22-22222220222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000020-202-20000000−2200−22
χ212-22-22-22-22222220222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000-2020-220000000−i2i200i2−i2
χ222-22-22-22-22222220222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000-2020-220000000i2−i200−i2i2
χ232-2-222-2-222222220-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000000020-2002-2000−i2i200−i2i200
χ242-2-222-2-222222220-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000000020-2002-2000i2−i200i2−i200
χ252-2-222-2-222222220-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000-20200-220002−200−2200
χ262-2-222-2-222222220-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000-20200-22000−22002−200
χ27444444441-211-2-241-211-2-21-211-2-21-211-2-24444411-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-20000000000000000000
χ28444444441-211-2-241-211-2-21-211-2-21-211-2-244-4-4-411-2-21111-2-2-2-2-1-1-1-12222-1-1-1-12222-1-1-1-122220000000000000000000
χ29444444441-211-2-2-41-211-2-21-211-2-21-211-2-2-4-4000-1-122-1-1-1-1222233-3-3000033-3-3000033-3-300000000000000000000000
χ30444444441-211-2-2-41-211-2-21-211-2-21-211-2-2-4-4000-1-122-1-1-1-12222-3-3330000-3-3330000-3-33300000000000000000000000
χ3144444444-21-2-2114-21-2-211-21-2-211-21-2-21144444-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000
χ3244444444-21-2-2114-21-2-211-21-2-211-21-2-21144-4-4-4-2-211-2-2-2-211112222-1-1-1-12222-1-1-1-12222-1-1-1-10000000000000000000
χ3344444444-21-2-211-4-21-2-211-21-2-211-21-2-211-4-400022-1-12222-1-1-1-1000033-3-3000033-3-3000033-3-30000000000000000000
χ3444444444-21-2-211-4-21-2-211-21-2-211-21-2-211-4-400022-1-12222-1-1-1-10000-3-3330000-3-3330000-3-3330000000000000000000
χ354444-2-2-2-21-2−1−3i32−1+3i321141-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-2-24-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1+3i32−1+3i32−1−3i32−1−3i3211110000000000000000000
χ364444-2-2-2-21-2−1−3i32−1+3i321141-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-2-2-42211-2-2−1−3i32−1−3i32−1+3i32−1+3i321111-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-10000000000000000000
χ374444-2-2-2-21-2−1−3i32−1+3i3211-41-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211220−2i32i3-1-1221+3i321+3i321−3i321−3i32-1-1-1-133-3-30000−3−i32−3−i323−i323−i32i3i3i3i3−3+i32−3+i323+i323+i32−i3−i3−i3−i30000000000000000000
χ384444-2-2-2-21-2−1−3i32−1+3i3211-41-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32112202i3−2i3-1-1221+3i321+3i321−3i321−3i32-1-1-1-1-3-33300003+i323+i32−3+i32−3+i32−i3−i3−i3−i33−i323−i32−3−i32−3−i32i3i3i3i30000000000000000000
χ394444-2-2-2-21-2−1+3i32−1−3i321141-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-2-24-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1−3i32−1−3i32−1+3i32−1+3i3211110000000000000000000
χ404444-2-2-2-21-2−1+3i32−1−3i321141-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-2-2-42211-2-2−1+3i32−1+3i32−1−3i32−1−3i321111-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-10000000000000000000
χ414444-2-2-2-21-2−1+3i32−1−3i3211-41-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211220−2i32i3-1-1221−3i321−3i321+3i321+3i32-1-1-1-1-3-33300003−i323−i32−3−i32−3−i32i3i3i3i33+i323+i32−3+i32−3+i32−i3−i3−i3−i30000000000000000000
χ424444-2-2-2-21-2−1+3i32−1−3i3211-41-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32112202i3−2i3-1-1221−3i321−3i321+3i321+3i32-1-1-1-133-3-30000−3+i32−3+i323+i323+i32−i3−i3−i3−i3−3−i32−3−i323−i323−i32i3i3i3i30000000000000000000
χ434444-2-2-2-2-2111−1−3i32−1+3i324-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-24-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1+3i32−1+3i32−1−3i32−1−3i320000000000000000000
χ444444-2-2-2-2-2111−1−3i32−1+3i324-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-2-422-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-11−3i321−3i321+3i321+3i320000000000000000000
χ454444-2-2-2-2-2111−1−3i32−1+3i32-4-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32220−2i32i322-1-1-1-1-1-11+3i321+3i321−3i321−3i32000033-3-3i3i3i3i3−3−i32−3−i323−i323−i32−i3−i3−i3−i3−3+i32−3+i323+i323+i320000000000000000000
χ464444-2-2-2-2-2111−1−3i32−1+3i32-4-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322202i3−2i322-1-1-1-1-1-11+3i321+3i321−3i321−3i320000-3-333−i3−i3−i3−i33+i323+i32−3+i32−3+i32i3i3i3i33−i323−i32−3−i32−3−i320000000000000000000
χ474444-2-2-2-2-2111−1+3i32−1−3i324-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-24-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1−3i32−1−3i32−1+3i32−1+3i320000000000000000000
χ484444-2-2-2-2-2111−1+3i32−1−3i324-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-2-422-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11+3i321+3i321−3i321−3i320000000000000000000
χ494444-2-2-2-2-2111−1+3i32−1−3i32-4-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32220−2i32i322-1-1-1-1-1-11−3i321−3i321+3i321+3i320000-3-333i3i3i3i33−i323−i32−3−i32−3−i32−i3−i3−i3−i33+i323+i32−3+i32−3+i320000000000000000000
χ504444-2-2-2-2-2111−1+3i32−1−3i32-4-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i322202i3−2i322-1-1-1-1-1-11−3i321−3i321+3i321+3i32000033-3-3−i3−i3−i3−i3−3+i32−3+i323+i323+i32i3i3i3i3−3−i32−3−i323−i323−i320000000000000000000
χ5144-4-444-4-41-211-2-20-12-1-1221-211-2-2-12-1-122000003-3003-33-300003−33−30023−233−33−30023−233−33−30023−230000000000000000000
χ5244-4-444-4-41-211-2-20-12-1-1221-211-2-2-12-1-122000003-3003-33-30000−33−3300−2323−33−3300−2323−33−3300−23230000000000000000000
χ5344-4-444-4-41-211-2-20-12-1-1221-211-2-2-12-1-12200000-3300-33-3300003−3−3323−23003−3−3323−23003−3−3323−23000000000000000000000
χ5444-4-444-4-41-211-2-20-12-1-1221-211-2-2-12-1-12200000-3300-33-330000−333−3−232300−333−3−232300−333−3−2323000000000000000000000
χ5544-4-444-4-44444440-4-4-4-4-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ5644-4-444-4-4-21-2-21102-122-1-1-21-2-2112-122-1-100000003-300003-33-30023−233−3−330023−233−3−330023−233−3−330000000000000000000
χ5744-4-444-4-4-21-2-21102-122-1-1-21-2-2112-122-1-100000003-300003-33-300−2323−333−300−2323−333−300−2323−333−30000000000000000000
χ5844-4-444-4-4-21-2-21102-122-1-1-21-2-2112-122-1-10000000-330000-33-3323−2300−33−3323−2300−33−3323−2300−33−330000000000000000000
χ5944-4-444-4-4-21-2-21102-122-1-1-21-2-2112-122-1-10000000-330000-33-33−2323003−33−3−2323003−33−3−2323003−33−30000000000000000000
χ6044-4-4-2-2221-2−1−3i32−1+3i32110-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-1−2i32i30003-300−3−i323+i32−3+i323−i32−i3i3i3−i33−33−30023−23−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ223i−3i−332ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−3i3i−330000000000000000000
χ6144-4-4-2-2221-2−1−3i32−1+3i32110-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-1−2i32i30003-300−3−i323+i32−3+i323−i32−i3i3i3−i3−33−3300−2323ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−3i3i3−3−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ223i−3i3−30000000000000000000
χ6244-4-4-2-2221-2−1−3i32−1+3i32110-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-12i3−2i3000-33003+i32−3−i323−i32−3+i32i3−i3−i3i33−3−3323−2300−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−333i−3i2ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−33−3i3i0000000000000000000
χ6344-4-4-2-2221-2−1−3i32−1+3i32110-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-12i3−2i3000-33003+i32−3−i323−i32−3+i32i3−i3−i3i3−333−3−232300ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ223−3−3i3i−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ223−33i−3i0000000000000000000
χ6444-4-4-2-2221-2−1+3i32−1−3i32110-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-1−2i32i3000-33003−i32−3+i323+i32−3−i32−i3i3i3−i33−3−3323−23002ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−33−3i3i−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−333i−3i0000000000000000000
χ6544-4-4-2-2221-2−1+3i32−1−3i32110-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-1−2i32i3000-33003−i32−3+i323+i32−3−i32−i3i3i3−i3−333−3−232300−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ223−33i−3iζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ223−3−3i3i0000000000000000000
χ6644-4-4-2-2221-2−1+3i32−1−3i32110-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-12i3−2i30003-300−3+i323−i32−3−i323+i32i3−i3−i3i33−33−30023−232ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−3i3i−33−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ223i−3i−330000000000000000000
χ6744-4-4-2-2221-2−1+3i32−1−3i32110-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-12i3−2i30003-300−3+i323−i32−3−i323+i32i3−i3−i3i3−33−3300−2323−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ223i−3i3−3ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−3i3i3−30000000000000000000
χ6844-4-4-2-22244-2-2-2-20-4-4222244-2-2-2-2-4-42222−2i32i30000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000
χ6944-4-4-2-22244-2-2-2-20-4-4222244-2-2-2-2-4-422222i3−2i300000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000
χ7044-4-4-2-222-2111−1−3i32−1+3i3202-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32−2i32i300000-33i3−i3−i3i33+i32−3−i323−i32−3+i3223−2300−33−33−33−3i3iζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−333i−3i−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ220000000000000000000
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χ7244-4-4-2-222-2111−1−3i32−1+3i3202-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322i3−2i3000003-3−i3i3i3−i3−3−i323+i32−3+i323−i320023−233−3−33−3i3i−33−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ223i−3i−332ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ220000000000000000000
χ7344-4-4-2-222-2111−1−3i32−1+3i3202-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322i3−2i3000003-3−i3i3i3−i3−3−i323+i32−3+i323−i3200−2323−333−33i−3i3−3ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22−3i3i3−3−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ220000000000000000000
χ7444-4-4-2-222-2111−1+3i32−1−3i3202-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32−2i32i3000003-3i3−i3−i3i3−3+i323−i32−3−i323+i320023−233−3−333i−3i−332ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−3i3i−33−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ220000000000000000000
χ7544-4-4-2-222-2111−1+3i32−1−3i3202-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32−2i32i3000003-3i3−i3−i3i3−3+i323−i32−3−i323+i3200−2323−333−3−3i3i3−3−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ223i−3i3−3ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ220000000000000000000
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χ7744-4-4-2-222-2111−1+3i32−1−3i3202-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i3−2i300000-33−i3i3i3−i33−i32−3+i323+i32−3−i32−2323003−33−33−3−3i3i2ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ223−33i−3i−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ220000000000000000000
χ784-44-4-22-2244-2-2-2-2044-2-2-2-2-4-42222-4-422220000000000000000000000000000000000000000040-40-220000000000000
χ794-44-4-22-2244-2-2-2-2044-2-2-2-2-4-42222-4-4222200000000000000000000000000000000000000000-40402-20000000000000
χ804-4-44-222-244-2-2-2-20-4-42222-4-4222244-2-2-2-200000000000000000000000000000000000000000040-400-2200000000000
χ814-4-44-222-244-2-2-2-20-4-42222-4-4222244-2-2-2-2000000000000000000000000000000000000000000-404002-200000000000
χ828-88-88-88-82-422-4-402-422-4-4-24-2-244-24-2-244000000000000000000000000000000000000000000000000000000000000
χ838-88-88-88-8-42-4-4220-42-4-4224-244-2-24-244-2-2000000000000000000000000000000000000000000000000000000000000
χ848-88-8-44-442-4−1−3i3−1+3i32202-4−1−3i3−1+3i322-241+3i31−3i3-2-2-241+3i31−3i3-2-2000000000000000000000000000000000000000000000000000000000000
χ858-88-8-44-442-4−1+3i3−1−3i32202-4−1+3i3−1−3i322-241−3i31+3i3-2-2-241−3i31+3i3-2-2000000000000000000000000000000000000000000000000000000000000
χ868-88-8-44-44-4222−1−3i3−1+3i30-4222−1−3i3−1+3i34-2-2-21+3i31−3i34-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000
χ878-88-8-44-44-4222−1+3i3−1−3i30-4222−1+3i3−1−3i34-2-2-21−3i31+3i34-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000
χ888-8-888-8-882-422-4-40-24-2-244-24-2-2442-422-4-4000000000000000000000000000000000000000000000000000000000000
χ898-8-888-8-88-42-4-42204-244-2-24-244-2-2-42-4-422000000000000000000000000000000000000000000000000000000000000
χ908-8-88-444-42-4−1−3i3−1+3i3220-241+3i31−3i3-2-2-241+3i31−3i3-2-22-4−1−3i3−1+3i322000000000000000000000000000000000000000000000000000000000000
χ918-8-88-444-42-4−1+3i3−1−3i3220-241−3i31+3i3-2-2-241−3i31+3i3-2-22-4−1+3i3−1−3i322000000000000000000000000000000000000000000000000000000000000
χ928-8-88-444-4-4222−1−3i3−1+3i304-2-2-21+3i31−3i34-2-2-21+3i31−3i3-4222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000
χ938-8-88-444-4-4222−1+3i3−1−3i304-2-2-21−3i31+3i34-2-2-21−3i31+3i3-4222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000

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