Finite Group Databasebeta

← Group #13170683

Character table — Group #13170683

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222244444444444466668888812121212121212121212121212121212121212242424363636363636367210811222222222444444444444666688888121212121212121212121212121212121212122424243636363636363672108
order1233346661212333666121212121212241212361212122666666812121224242424242424246664481212242412422666466612126666661212121212122412126612121226666668121212242424242424242466644812122424124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ311111111111111111111111111111111-111-1-111111111111111-1-1-1-1-11-1-111-1-111111111111111111111111111111111-111-1-111111111111111-1-1-1-1-11-1-111-1-1
χ411111111111111111111111111111111-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111111111111111111111111111-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ511111111111111111111111-1-1-1-1111111-1-111-1-11-1-1-111111111111-11-1-1-1-1-11-111111111111111111111111-1-1-1-1111111-1-111-1-11-1-1-111111111111-11-1-1-1-1-11-1
χ611111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-11
χ711111111111111111111111-1-1-1-111111-1-1-1-1-1-1-11-1-1-111111111-1-1-11-1-111-1-1-1111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-11-1-1-111111111-1-1-11-1-111-1-1-11
χ811111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ922222-2222-2-2222222-2-2-2-2-2-22-2-2-222-2-2-202200220-2-2-20000000000000000000022222-2222-2-2222222-2-2-2-2-2-22-2-2-222-2-2-202200220-2-2-200000000000000000000
χ1022222-2222-2-2222222-2-2-2-2-2-2-222222-2-2-20-2-200-2-202220000000000000000000022222-2222-2-2222222-2-2-2-2-2-2-222222-2-2-20-2-200-2-2022200000000000000000000
χ112222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-102-1-1000000002-1-1200-1-100002222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-102-1-1000000002-1-1200-1-10000
χ122222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-22-111-1-102-1-100000000-211-2001100002222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-22-111-1-102-1-100000000-211-200110000
χ132222-1222-1222-1-12-1-1-1-1-1222-2-211-1-1-1-1-12-21-1-1110-211000000002-1-1-2001100002222-1222-1222-1-12-1-1-1-1-1222-2-211-1-1-1-1-12-21-1-1110-211000000002-1-1-200110000
χ142222-1222-1222-1-12-1-1-1-1-1222-2-211-1-1-1-1-1-2-2111110-21100000000-211200-1-100002222-1222-1222-1-12-1-1-1-1-1222-2-211-1-1-1-1-1-2-2111110-21100000000-211200-1-10000
χ152222-1-222-1-2-22-1-12-1-1111-2-2-22-211-1-111102-1−i3i3-1-10-211000000000−i3i3000−i3i300002222-1-222-1-2-22-1-12-1-1111-2-2-22-211-1-111102-1−i3i3-1-10-211000000000−i3i3000−i3i30000
χ162222-1-222-1-2-22-1-12-1-1111-2-2-22-211-1-111102-1i3−i3-1-10-211000000000i3−i3000i3−i300002222-1-222-1-2-22-1-12-1-1111-2-2-22-211-1-111102-1i3−i3-1-10-211000000000i3−i3000i3−i30000
χ172222-1-222-1-2-22-1-12-1-1111-2-2-2-22-1-1-1-11110-21−i3i31102-1-1000000000−i3i3000i3−i300002222-1-222-1-2-22-1-12-1-1111-2-2-2-22-1-1-1-11110-21−i3i31102-1-1000000000−i3i3000i3−i30000
χ182222-1-222-1-2-22-1-12-1-1111-2-2-2-22-1-1-1-11110-21i3−i31102-1-1000000000i3−i3000−i3i300002222-1-222-1-2-22-1-12-1-1111-2-2-2-22-1-1-1-11110-21i3−i31102-1-1000000000i3−i3000−i3i30000
χ19222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-12002200200022-1-1-1-1-1-1-1-1-10200000-10222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-12002200200022-1-1-1-1-1-1-1-1-10200000-10
χ20222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-12002200-2000-2-2111111-1-1-10-20000010222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-12002200-2000-2-2111111-1-1-10-20000010
χ21222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-1-200-2-200200022-1-1-1-1-1-11110-20000010222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-1-200-2-200200022-1-1-1-1-1-11110-20000010
χ22222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-1-200-2-200-2000-2-21111111110200000-10222-1222-1222-12-1-1-12222-1-1-10000-1-1-1-1-1-200-2-200-2000-2-21111111110200000-10
χ2322-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-12-1-1-1-1-122-1-1-1-100000200-1-10022-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-12-1-1-1-1-122-1-1-1-100000200-1-100
χ2422-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-1-2-1-1-111-2-2111100000-200110022-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-1-2-1-1-111-2-2111100000-2001100
χ2522-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-200112111-1-122-1-1-1-100000-200110022-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-200112111-1-122-1-1-1-100000-2001100
χ2622-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-20011-211111-2-2111100000200-1-10022-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-20011-211111-2-2111100000200-1-100
χ2722-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-101113−30033−3−3000000003−30022-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-101113−30033−3−3000000003−300
χ2822-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-10111−3300−3−33300000000−330022-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-10111−3300−3−33300000000−3300
χ2922-122-2-12211-1-12-12-1-211-211-2222-1-1-21101-200110-1-1-13−30033−3−300000000−330022-122-2-12211-1-12-12-1-211-211-2222-1-1-21101-200110-1-1-13−30033−3−300000000−3300
χ3022-122-2-12211-1-12-12-1-211-211-2222-1-1-21101-200110-1-1-1−3300−3−333000000003−30022-122-2-12211-1-12-12-1-211-211-2222-1-1-21101-200110-1-1-1−3300−3−333000000003−300
χ31444-24-44-24-4-4-24-2-2-24-4-4-42220000-2-22220000000000000000000000000000000444-24-44-24-4-4-24-2-2-24-4-4-42220000-2-22220000000000000000000000000000000
χ32444-2-244-2-244-2-21-21-2-2-2-2-2-2-2000011111400-2-200000000000000-211000000000444-2-244-2-244-2-21-21-2-2-2-2-2-2-2000011111400-2-200000000000000-211000000000
χ33444-2-244-2-244-2-21-21-2-2-2-2-2-2-2000011111-40022000000000000002-1-1000000000444-2-244-2-244-2-21-21-2-2-2-2-2-2-2000011111-40022000000000000002-1-1000000000
χ34444-2-2-44-2-2-4-4-2-21-21-2222222000011-1-1-1000−2i32i3000000000000000i3−i3000000000444-2-2-44-2-2-4-4-2-21-21-2222222000011-1-1-1000−2i32i3000000000000000i3−i3000000000
χ35444-2-2-44-2-2-4-4-2-21-21-2222222000011-1-1-10002i3−2i3000000000000000−i3i3000000000444-2-2-44-2-2-4-4-2-21-21-2222222000011-1-1-10002i3−2i3000000000000000−i3i3000000000
χ3644-24-24-24-2-2-2-21-2-2-21-2114-2-244-2-211-2110-2-200110-2110000000000000000000044-24-24-24-2-2-2-21-2-2-21-2114-2-244-2-211-2110-2-200110-21100000000000000000000
χ3744-24-24-24-2-2-2-21-2-2-21-2114-2-2-4-42211-21102200-1-102-1-10000000000000000000044-24-24-24-2-2-2-21-2-2-21-2114-2-2-4-42211-21102200-1-102-1-100000000000000000000
χ3844-24-2-4-24-222-21-2-2-212-1-1-4224-422112-1-10-2-2001102-1-10000000000000000000044-24-2-4-24-222-21-2-2-212-1-1-4224-422112-1-10-2-2001102-1-100000000000000000000
χ3944-24-2-4-24-222-21-2-2-212-1-1-422-44-2-2112-1-102200-1-10-2110000000000000000000044-24-2-4-24-222-21-2-2-212-1-1-422-44-2-2112-1-102200-1-10-21100000000000000000000
χ4044-2-244-2-24-2-21-2-21-2-24-2-2-211000011-21100000004000-2-2-2-2111100000000000044-2-244-2-24-2-21-2-21-2-24-2-2-211000011-21100000004000-2-2-2-21111000000000000
χ4144-2-244-2-24-2-21-2-21-2-24-2-2-211000011-2110000000-40002222-1-1-1-100000000000044-2-244-2-24-2-21-2-21-2-24-2-2-211000011-2110000000-40002222-1-1-1-1000000000000
χ4244-2-24-4-2-24221-2-21-2-2-4222-1-10000112-1-10000000000023−2300−3−33300000000000044-2-24-4-2-24221-2-21-2-2-4222-1-10000112-1-10000000000023−2300−3−333000000000000
χ4344-2-24-4-2-24221-2-21-2-2-4222-1-10000112-1-100000000000−23230033−3−300000000000044-2-24-4-2-24221-2-21-2-2-4222-1-10000112-1-100000000000−23230033−3−3000000000000
χ444-44440-4-4-400444-4-4-400000000004-400000000000000000000000000000000004-44440-4-4-400444-4-4-400000000004-40000000000000000000000000000000000
χ454-444-20-4-42004-2-2-4220000000023−23-2200000000000023−23000000000000000000004-444-20-4-42004-2-2-4220000000023−23-2200000000000023−2300000000000000000000
χ464-444-20-4-42004-2-2-42200000000−2323-22000000000000−2323000000000000000000004-444-20-4-42004-2-2-42200000000−2323-22000000000000−232300000000000000000000
χ474-44-240-42-400-24-222-40000000000-2200000000000000006−66−66−60000000000004-44-240-42-400-24-222-40000000000-2200000000000000006−66−66−6000000000000
χ484-44-240-42-400-24-222-40000000000-220000000000000000−66−66−660000000000004-44-240-42-400-24-222-40000000000-220000000000000000−66−66−66000000000000
χ494-4-24402-4-423−23-2-242-42023−23023−230000-22023−2300000000000000000000000000000004-4-24402-4-423−23-2-242-42023−23023−230000-22023−230000000000000000000000000000000
χ504-4-24402-4-4−2323-2-242-420−23230−23230000-220−232300000000000000000000000000000004-4-24402-4-4−2323-2-242-420−23230−23230000-220−23230000000000000000000000000000000
χ514-4-24-202-4223−23-21-222-10−33023−230023−231-10−33000003-300−33000000000000000000004-4-24-202-4223−23-21-222-10−33023−230023−231-10−33000003-300−3300000000000000000000
χ524-4-24-202-4223−23-21-222-10−33023−2300−23231-10−3300000-33003−3000000000000000000004-4-24-202-4223−23-21-222-10−33023−2300−23231-10−3300000-33003−300000000000000000000
χ534-4-24-202-42−2323-21-222-103−30−23230023−231-103−300000-3300−33000000000000000000004-4-24-202-42−2323-21-222-103−30−23230023−231-103−300000-3300−3300000000000000000000
χ544-4-24-202-42−2323-21-222-103−30−232300−23231-103−3000003-3003−3000000000000000000004-4-24-202-42−2323-21-222-103−30−232300−23231-103−3000003-3003−300000000000000000000
χ554-4-2-24022-423−231-2-2-122023−230−3300001-10−3300000000000006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000004-4-2-24022-423−231-2-2-122023−230−3300001-10−3300000000000006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000
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χ574-4-2-24022-4−23231-2-2-1220−232303−300001-103−300000000000006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000004-4-2-24022-4−23231-2-2-1220−232303−300001-103−300000000000006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000
χ584-4-2-24022-4−23231-2-2-1220−232303−300001-103−30000000000000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000004-4-2-24022-4−23231-2-2-1220−232303−300001-103−30000000000000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000
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χ6088-4-4-4-8-4-4-4442222224-2-24-2-20000-1-1-211000000000000000000000000000000088-4-4-4-8-4-4-4442222224-2-24-2-20000-1-1-2110000000000000000000000000000000
χ618-88-4-40-84400-4-424-2400000000002-200000000000000000000000000000000008-88-4-40-84400-4-424-2400000000002-20000000000000000000000000000000000
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χ638-8-4-4-40444−4343222-2-2-2023−23023−230000-110−3300000000000000000000000000000008-8-4-4-40444−4343222-2-2-2023−23023−230000-110−330000000000000000000000000000000
χ64111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ65111111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-111-1-11111
χ6611111111111111111111111111111111-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111
χ6711111111111111111111111111111111-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1111111111111-111111-1-1
χ6811111111111111111111111-1-1-1-1111111-1-111-1-11-1-1-111111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-11-111111-11
χ6911111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-111-111-1-11-1
χ7011111111111111111111111-1-1-1-111111-1-1-1-1-1-1-11-1-1-111111111-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1111-1-1-1-1-1-1-1-1111-111-1-1111-1
χ7111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11
χ7222222-2222-2-2222222-2-2-2-2-2-22-2-2-222-2-2-202200220-2-2-200000000000000000000-2-2-2-2-22-2-2-222-2-2-2-2-2-2222222-2222-2-22220-2-200-2-2022200000000000000000000
χ7322222-2222-2-2222222-2-2-2-2-2-2-222222-2-2-20-2-200-2-2022200000000000000000000-2-2-2-2-22-2-2-222-2-2-2-2-2-22222222-2-2-2-2-222202200220-2-2-200000000000000000000
χ742222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-102-1-1000000002-1-1200-1-10000-2-2-2-21-2-2-21-2-2-211-211111-2-2-2-2-21111111-2-2111110-21100000000-211-200110000
χ752222-1222-1222-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-22-111-1-102-1-100000000-211-200110000-2-2-2-21-2-2-21-2-2-211-211111-2-2-2-2-211111112-21-1-1110-211000000002-1-1200-1-10000
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χ8622-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-12-1-1-1-1-122-1-1-1-100000200-1-100-2-21-2-2-21-2-21111-21-21-211-211-2-2-2-211-21101-20011-211111-2-2111100000-2001100
χ8722-1222-122-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-1200-1-1-2-1-1-111-2-2111100000-2001100-2-21-2-2-21-2-21111-21-21-211-211-2-2-2-211-21101-200112111-1-122-1-1-1-100000200-1-100
χ8822-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-200112111-1-122-1-1-1-100000-2001100-2-21-2-2-21-2-21111-21-21-211-211222211-2110-1200-1-1-2-1-1-111-2-2111100000200-1-100
χ8922-1222-122-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101-20011-211111-2-2111100000200-1-100-2-21-2-2-21-2-21111-21-21-211-211222211-2110-1200-1-12-1-1-1-1-122-1-1-1-100000-2001100
χ9022-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-101113−30033−3−3000000003−300-2-21-2-221-2-2-1-111-21-212-1-12-1-1-2222112-1-101-200110-1-1-1−3300−3−33300000000−3300
χ9122-122-2-12211-1-12-12-1-211-2112-2-2-2-1-1-2110-1200-1-10111−3300−3−33300000000−3300-2-21-2-221-2-2-1-111-21-212-1-12-1-1-2222112-1-101-200110-1-1-13−30033−3−3000000003−300
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χ10344-2-244-2-24-2-21-2-21-2-24-2-2-211000011-21100000004000-2-2-2-21111000000000000-4-422-4-422-422-122-122-4222-1-10000-1-12-1-10000000-40002222-1-1-1-1000000000000
χ10444-2-244-2-24-2-21-2-21-2-24-2-2-211000011-2110000000-40002222-1-1-1-1000000000000-4-422-4-422-422-122-122-4222-1-10000-1-12-1-100000004000-2-2-2-21111000000000000
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χ1074-44440-4-4-400444-4-4-400000000004-40000000000000000000000000000000000-44-4-4-4044400-4-4-44440000000000-440000000000000000000000000000000000
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χ1094-444-20-4-42004-2-2-42200000000−2323-22000000000000−232300000000000000000000-44-4-42044-200-4224-2-20000000023−232-200000000000023−2300000000000000000000
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χ1114-44-240-42-400-24-222-40000000000-220000000000000000−66−66−66000000000000-44-42-404-24002-42-2-2400000000002-200000000000000006−66−66−6000000000000
χ1124-4-24402-4-423−23-2-242-42023−23023−230000-22023−230000000000000000000000000000000-442-4-40-244−232322-4-24-20−23230−232300002-20−23230000000000000000000000000000000
χ1134-4-24402-4-4−2323-2-242-420−23230−23230000-220−23230000000000000000000000000000000-442-4-40-24423−2322-4-24-2023−23023−2300002-2023−230000000000000000000000000000000
χ1144-4-24-202-4223−23-21-222-10−33023−230023−231-10−33000003-300−3300000000000000000000-442-420-24-2−23232-12-2-2103−30−232300−2323-1103−300000-33003−300000000000000000000
χ1154-4-24-202-4223−23-21-222-10−33023−2300−23231-10−3300000-33003−300000000000000000000-442-420-24-2−23232-12-2-2103−30−23230023−23-1103−3000003-300−3300000000000000000000
χ1164-4-24-202-42−2323-21-222-103−30−23230023−231-103−300000-3300−3300000000000000000000-442-420-24-223−232-12-2-210−33023−2300−2323-110−33000003-3003−300000000000000000000
χ1174-4-24-202-42−2323-21-222-103−30−232300−23231-103−3000003-3003−300000000000000000000-442-420-24-223−232-12-2-210−33023−230023−23-110−3300000-3300−3300000000000000000000
χ1184-4-2-24022-423−231-2-2-122023−230−3300001-10−3300000000000006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000-4422-40-2-24−2323-1221-2-20−232303−30000-1103−30000000000000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000
χ1194-4-2-24022-423−231-2-2-122023−230−3300001-10−330000000000000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000-4422-40-2-24−2323-1221-2-20−232303−30000-1103−300000000000006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000
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χ1214-4-2-24022-4−23231-2-2-1220−232303−300001-103−30000000000000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000-4422-40-2-2423−23-1221-2-2023−230−330000-110−3300000000000006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000
χ12288-4-4-48-4-4-4-4-4222222-422-4220000-1-12-1-10000000000000000000000000000000-8-8444-844444-2-2-2-2-2-24-2-24-2-2000011-2110000000000000000000000000000000
χ12388-4-4-4-8-4-4-4442222224-2-24-2-20000-1-1-2110000000000000000000000000000000-8-84448444-4-4-2-2-2-2-2-2-422-4220000112-1-10000000000000000000000000000000
χ1248-88-4-40-84400-4-424-2400000000002-20000000000000000000000000000000000-88-84408-4-40044-2-42-40000000000-220000000000000000000000000000000000
χ1258-8-4-4-4044443−43222-2-2-20−23230−23230000-1103−30000000000000000000000000000000-884440-4-4-4−4343-2-2-2222023−23023−2300001-10−330000000000000000000000000000000
χ1268-8-4-4-40444−4343222-2-2-2023−23023−230000-110−330000000000000000000000000000000-884440-4-4-443−43-2-2-22220−23230−232300001-103−30000000000000000000000000000000

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