Finite Group Databasebeta

← Group #13170609

Character table — Group #13170609

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222222223344444444444466666666666668888812121212121212121212121212121818181818182424243636363672108112222222223344444444444466666666666668888812121212121212121212121212121818181818182424243636363672108
order12333466612124433366612121212121226688121212122424242436121212266666121224242424242488242424246664412121222266646661212446666661212121212122668812121212242424246612121226666612122424242424248824242424666441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-11-1-11111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111111111111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1
χ41111111111111111111111111111-1-11111-1-1-1-111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111-1-11111-1-1-1-111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111-1-1111111111111-1-1-111-1-1-1-11111111111-111-1-1-1-1111111-1-1-1-1-1-1111-11-1-11-111111111111-1-1111111111111-1-1-111-1-1-1-11111111111-111-1-1-1-1111111-1-1-1-1-1-1111-11-1-11-1
χ611111111111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111-1111111111111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111-11
χ711111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11
χ811111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1
χ922222-2222-2-222222222-2-2-2-2-2-2-2-2-2002222000022-2-2-20-200-2-22200000000000000000000022222-2222-2-222222222-2-2-2-2-2-2-2-2-2002222000022-2-2-20-200-2-222000000000000000000000
χ1022222-2222-2-2-2-2222222-2-2-2-2-2-222200-2-2-2-2000022-2-2-2020022-2-200000000000000000000022222-2222-2-2-2-2222222-2-2-2-2-2-222200-2-2-2-2000022-2-2-2020022-2-2000000000000000000000
χ112222-1222-122222-1-12-1-1-1-1-12222220022-1-10000-1-1-1-1-12-1-1-1-1-1-1-10000000000002-1-120-1-1002222-1222-122222-1-12-1-1-1-1-12222220022-1-10000-1-1-1-1-12-1-1-1-1-1-1-10000000000002-1-120-1-100
χ122222-1222-122222-1-12-1-1-1-1-12222220022-1-10000-1-1-1-1-1-2-111-1-1-1-1000000000000-211-2011002222-1222-122222-1-12-1-1-1-1-12222220022-1-10000-1-1-1-1-1-2-111-1-1-1-1000000000000-211-201100
χ132222-1222-122-2-22-1-12-1-1-1-1-1222-2-2-200-2-2110000-1-1-1-1-121-1-111110000000000002-1-1-2011002222-1222-122-2-22-1-12-1-1-1-1-1222-2-2-200-2-2110000-1-1-1-1-121-1-111110000000000002-1-1-201100
χ142222-1222-122-2-22-1-12-1-1-1-1-1222-2-2-200-2-2110000-1-1-1-1-1-21111111000000000000-21120-1-1002222-1222-122-2-22-1-12-1-1-1-1-1222-2-2-200-2-2110000-1-1-1-1-1-21111111000000000000-21120-1-100
χ152222-1-222-1-2-2222-1-12-1-1111-2-2-2-2-2-20022-1-10000-1-111101−i3i311-1-10000000000000−i3i300−i3i3002222-1-222-1-2-2222-1-12-1-1111-2-2-2-2-2-20022-1-10000-1-111101−i3i311-1-10000000000000−i3i300−i3i300
χ162222-1-222-1-2-2222-1-12-1-1111-2-2-2-2-2-20022-1-10000-1-111101i3−i311-1-10000000000000i3−i300i3−i3002222-1-222-1-2-2222-1-12-1-1111-2-2-2-2-2-20022-1-10000-1-111101i3−i311-1-10000000000000i3−i300i3−i300
χ172222-1-222-1-2-2-2-22-1-12-1-1111-2-2-222200-2-2110000-1-11110-1−i3i3-1-1110000000000000−i3i300i3−i3002222-1-222-1-2-2-2-22-1-12-1-1111-2-2-222200-2-2110000-1-11110-1−i3i3-1-1110000000000000−i3i300i3−i300
χ182222-1-222-1-2-2-2-22-1-12-1-1111-2-2-222200-2-2110000-1-11110-1i3−i3-1-1110000000000000i3−i300−i3i3002222-1-222-1-2-2-2-22-1-12-1-1111-2-2-222200-2-2110000-1-11110-1i3−i3-1-1110000000000000i3−i300−i3i300
χ19222-1222-122200-12-1-1-12222-1-1-10002200002222-1-1-1-1-120220000-1-1-1-1-1-1000000-1-1-10200-10222-1222-122200-12-1-1-12222-1-1-10002200002222-1-1-1-1-120220000-1-1-1-1-1-1000000-1-1-10200-10
χ20222-1222-122200-12-1-1-12222-1-1-10002200002222-1-1-1-1-1-20-2-20000-1-1-1-1-1-10000001110-20010222-1222-122200-12-1-1-12222-1-1-10002200002222-1-1-1-1-1-20-2-20000-1-1-1-1-1-10000001110-20010
χ21222-1222-122200-12-1-1-12222-1-1-1000-2-20000-2-2-2-2-1-1-1-1-120220000111111000000-1-1-10-20010222-1222-122200-12-1-1-12222-1-1-1000-2-20000-2-2-2-2-1-1-1-1-120220000111111000000-1-1-10-20010
χ22222-1222-122200-12-1-1-12222-1-1-1000-2-20000-2-2-2-2-1-1-1-1-1-20-2-200001111110000001110200-10222-1222-122200-12-1-1-12222-1-1-1000-2-20000-2-2-2-2-1-1-1-1-1-20-2-200001111110000001110200-10
χ2322-1222-122-1-122-1-12-12-12-1-12-1-12-1-122-1-122-1-1-1-1-1-12-1-10200-1-1-1-122-1-1-1-122-1-1-1-100000000022-1222-122-1-122-1-12-12-12-1-12-1-12-1-122-1-122-1-1-1-1-1-12-1-10200-1-1-1-122-1-1-1-122-1-1-1-1000000000
χ2422-1222-122-1-122-1-12-12-12-1-12-1-12-1-1-2-2-1-1221111-1-12-1-10200-1-1-1-1-2-21111-2-2111100000000022-1222-122-1-122-1-12-12-12-1-12-1-12-1-1-2-2-1-1221111-1-12-1-10200-1-1-1-1-2-21111-2-21111000000000
χ2522-1222-122-1-1-2-2-1-12-12-12-1-12-1-1-2112211-2-2-1-1-1-1-1-12-1-10-200111122-1-1-1-1-2-2111100000000022-1222-122-1-1-2-2-1-12-12-12-1-12-1-1-2112211-2-2-1-1-1-1-1-12-1-10-200111122-1-1-1-1-2-21111000000000
χ2622-1222-122-1-1-2-2-1-12-12-12-1-12-1-1-211-2-211-2-21111-1-12-1-10-2001111-2-2111122-1-1-1-100000000022-1222-122-1-1-2-2-1-12-12-12-1-12-1-1-211-2-211-2-21111-1-12-1-10-2001111-2-2111122-1-1-1-1000000000
χ2722-122-2-1221122-1-12-12-1-211-211-21100-1-12233−3−3-1-1-2110-20011-1-10033−3−30033−3−300000000022-122-2-1221122-1-12-12-1-211-211-21100-1-12233−3−3-1-1-2110-20011-1-10033−3−30033−3−3000000000
χ2822-122-2-1221122-1-12-12-1-211-211-21100-1-122−3−333-1-1-2110-20011-1-100−3−33300−3−33300000000022-122-2-1221122-1-12-12-1-211-211-21100-1-122−3−333-1-1-2110-20011-1-100−3−33300−3−333000000000
χ2922-122-2-12211-2-2-1-12-12-1-211-2112-1-10011-2-233−3−3-1-1-2110200-1-1110033−3−300−3−33300000000022-122-2-12211-2-2-1-12-12-1-211-2112-1-10011-2-233−3−3-1-1-2110200-1-1110033−3−300−3−333000000000
χ3022-122-2-12211-2-2-1-12-12-1-211-2112-1-10011-2-2−3−333-1-1-2110200-1-11100−3−3330033−3−300000000022-122-2-12211-2-2-1-12-12-1-211-2112-1-10011-2-2−3−333-1-1-2110200-1-11100−3−3330033−3−3000000000
χ312-22220-2-2-2002i−2i222-2-2-2000000000−i2i22i−2i2i−2i−i2i2−i2i22-20000000002i−2i−i2i2−i2i2−i2i22−22−22−20000000002-22220-2-2-2002i−2i222-2-2-2000000000−i2i22i−2i2i−2i−i2i2−i2i22-20000000002i−2i−i2i2−i2i2−i2i22−22−22−2000000000
χ322-22220-2-2-2002i−2i222-2-2-2000000000i2−i22i−2i2i−2ii2−i2i2−i22-20000000002i−2ii2−i2i2−i2i2−i2−22−22−220000000002-22220-2-2-2002i−2i222-2-2-2000000000i2−i22i−2i2i−2ii2−i2i2−i22-20000000002i−2ii2−i2i2−i2i2−i2−22−22−22000000000
χ332-22220-2-2-200−2i2i222-2-2-2000000000−i2i2−2i2i−2i2i−i2i2−i2i22-2000000000−2i2i−i2i2−i2i2−i2i2−22−22−220000000002-22220-2-2-200−2i2i222-2-2-2000000000−i2i2−2i2i−2i2i−i2i2−i2i22-2000000000−2i2i−i2i2−i2i2−i2i2−22−22−22000000000
χ342-22220-2-2-200−2i2i222-2-2-2000000000i2−i2−2i2i−2i2ii2−i2i2−i22-2000000000−2i2ii2−i2i2−i2i2−i22−22−22−20000000002-22220-2-2-200−2i2i222-2-2-2000000000i2−i2−2i2i−2i2ii2−i2i2−i22-2000000000−2i2ii2−i2i2−i2i2−i22−22−22−2000000000
χ352-2-12201-2-23−32i−2i-1-121-2103−303−30−i3i3−i2i2−ii2i−2iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1103−30000−i3i3−ii−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000002-2-12201-2-23−32i−2i-1-121-2103−303−30−i3i3−i2i2−ii2i−2iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1103−30000−i3i3−ii−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000
χ362-2-12201-2-23−32i−2i-1-121-2103−303−30−i3i3i2−i2−ii2i−2i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1103−30000−i3i3−iii2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000002-2-12201-2-23−32i−2i-1-121-2103−303−30−i3i3i2−i2−ii2i−2i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1103−30000−i3i3−iii2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000
χ372-2-12201-2-23−3−2i2i-1-121-2103−303−30i3−i3−i2i2i−i−2i2iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1103−30000i3−i3i−i−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000002-2-12201-2-23−3−2i2i-1-121-2103−303−30i3−i3−i2i2i−i−2i2iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1103−30000i3−i3i−i−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000
χ382-2-12201-2-23−3−2i2i-1-121-2103−303−30i3−i3i2−i2i−i−2i2i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1103−30000i3−i3i−ii2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000002-2-12201-2-23−3−2i2i-1-121-2103−303−30i3−i3i2−i2i−i−2i2i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1103−30000i3−i3i−ii2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000
χ392-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3−i2i2−ii2i−2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000i3−i3−ii−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000002-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3−i2i2−ii2i−2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000i3−i3−ii−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000
χ402-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3i2−i2−ii2i−2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000i3−i3−iii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000002-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3i2−i2−ii2i−2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000i3−i3−iii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000
χ412-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3−i2i2i−i−2i2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000−i3i3i−i−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000002-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3−i2i2i−i−2i2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000−i3i3i−i−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000
χ422-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3i2−i2i−i−2i2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000−i3i3i−ii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000002-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3i2−i2i−i−2i2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000−i3i3i−ii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000
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χ44444-2-244-2-24400-2-21-21-2-2-2-2-2-2-200000000000001111140-2-20000000000000000-211000000444-2-244-2-24400-2-21-21-2-2-2-2-2-2-200000000000001111140-2-20000000000000000-211000000
χ45444-2-244-2-24400-2-21-21-2-2-2-2-2-2-2000000000000011111-402200000000000000002-1-1000000444-2-244-2-24400-2-21-21-2-2-2-2-2-2-2000000000000011111-402200000000000000002-1-1000000
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χ47444-2-2-44-2-2-4-400-2-21-21-2222222000000000000011-1-1-1002i3−2i300000000000000000−i3i3000000444-2-2-44-2-2-4-400-2-21-21-2222222000000000000011-1-1-1002i3−2i300000000000000000−i3i3000000
χ4844-24-24-24-2-2-244-21-2-2-21-2114-2-24-2-200-2-2-2-2000011-2110-200111100000000000000000000044-24-24-24-2-2-244-21-2-2-21-2114-2-24-2-200-2-2-2-2000011-2110-2001111000000000000000000000
χ4944-24-24-24-2-2-2-4-4-21-2-2-21-2114-2-2-422002222000011-2110200-1-1-1-100000000000000000000044-24-24-24-2-2-2-4-4-21-2-2-21-2114-2-2-422002222000011-2110200-1-1-1-1000000000000000000000
χ5044-24-2-4-24-22244-21-2-2-212-1-1-422-42200-2-2-2-20000112-1-10200-1-11100000000000000000000044-24-2-4-24-22244-21-2-2-212-1-1-422-42200-2-2-2-20000112-1-10200-1-111000000000000000000000
χ5144-24-2-4-24-222-4-4-21-2-2-212-1-1-4224-2-20022220000112-1-10-20011-1-100000000000000000000044-24-2-4-24-222-4-4-21-2-2-212-1-1-4224-2-20022220000112-1-10-20011-1-1000000000000000000000
χ5244-2-244-2-24-2-2001-2-21-2-24-2-2-211000440000-2-2-2-211-21100000000-2-2111100000000000000044-2-244-2-24-2-2001-2-21-2-24-2-2-211000440000-2-2-2-211-21100000000-2-21111000000000000000
χ5344-2-244-2-24-2-2001-2-21-2-24-2-2-211000-4-40000222211-2110000000022-1-1-1-100000000000000044-2-244-2-24-2-2001-2-21-2-24-2-2-211000-4-40000222211-2110000000022-1-1-1-1000000000000000
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χ1112-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3−i2i2−ii2i−2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000i3−i3−ii−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000-221-2-20-1223−3−2i2i11-2-12-103−303−30−i3i3i2−i2i−i−2i2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ71-103−30000−i3i3i−ii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000
χ1122-2-12201-2-2−332i−2i-1-121-210−330−330i3−i3i2−i2−ii2i−2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000i3−i3−iii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000-221-2-20-1223−3−2i2i11-2-12-103−303−30−i3i3−i2i2i−i−2i2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ71-103−30000−i3i3i−i−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000
χ1132-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3−i2i2i−i−2i2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-110−330000−i3i3i−i−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000-221-2-20-1223−32i−2i11-2-12-103−303−30i3−i3i2−i2−ii2i−2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ71-103−30000i3−i3−iii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000
χ1142-2-12201-2-2−33−2i2i-1-121-210−330−330−i3i3i2−i2i−i−2i2i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-110−330000−i3i3i−ii2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000-221-2-20-1223−32i−2i11-2-12-103−303−30i3−i3−i2i2−ii2i−2iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ71-103−30000i3−i3−ii−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000
χ115444-24-44-24-4-400-24-2-2-24-4-4-42220000000000000-2-222200000000000000000000000000000-4-4-42-44-42-444002-4222-4444-2-2-2000000000000022-2-2-200000000000000000000000000000
χ116444-2-244-2-24400-2-21-21-2-2-2-2-2-2-200000000000001111140-2-20000000000000000-211000000-4-4-422-4-422-4-40022-12-122222220000000000000-1-1-1-1-1-402200000000000000002-1-1000000
χ117444-2-244-2-24400-2-21-21-2-2-2-2-2-2-2000000000000011111-402200000000000000002-1-1000000-4-4-422-4-422-4-40022-12-122222220000000000000-1-1-1-1-140-2-20000000000000000-211000000
χ118444-2-2-44-2-2-4-400-2-21-21-2222222000000000000011-1-1-100−2i32i300000000000000000i3−i3000000-4-4-4224-422440022-12-12-2-2-2-2-2-20000000000000-1-1111002i3−2i300000000000000000−i3i3000000
χ119444-2-2-44-2-2-4-400-2-21-21-2222222000000000000011-1-1-1002i3−2i300000000000000000−i3i3000000-4-4-4224-422440022-12-12-2-2-2-2-2-20000000000000-1-111100−2i32i300000000000000000i3−i3000000
χ12044-24-24-24-2-2-244-21-2-2-21-2114-2-24-2-200-2-2-2-2000011-2110-2001111000000000000000000000-4-42-42-42-4222-4-42-1222-12-1-1-422-4220022220000-1-12-1-10200-1-1-1-1000000000000000000000
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χ12244-24-2-4-24-22244-21-2-2-212-1-1-422-42200-2-2-2-20000112-1-10200-1-111000000000000000000000-4-42-4242-42-2-2-4-42-1222-1-2114-2-24-2-20022220000-1-1-2110-20011-1-1000000000000000000000
χ12344-24-2-4-24-222-4-4-21-2-2-212-1-1-4224-2-20022220000112-1-10-20011-1-1000000000000000000000-4-42-4242-42-2-2442-1222-1-2114-2-2-42200-2-2-2-20000-1-1-2110200-1-111000000000000000000000
χ12444-2-244-2-24-2-2001-2-21-2-24-2-2-211000440000-2-2-2-211-21100000000-2-21111000000000000000-4-422-4-422-42200-122-122-4222-1-1000-4-400002222-1-12-1-10000000022-1-1-1-1000000000000000
χ12544-2-244-2-24-2-2001-2-21-2-24-2-2-211000-4-40000222211-2110000000022-1-1-1-1000000000000000-4-422-4-422-42200-122-122-4222-1-1000440000-2-2-2-2-1-12-1-100000000-2-21111000000000000000
χ12644-2-24-4-2-2422001-2-21-2-2-4222-1-10000000002323−23−23112-1-10000000000−3−333000000000000000-4-422-4422-4-2-200-122-1224-2-2-211000000000−23−232323-1-1-211000000000033−3−3000000000000000
χ12744-2-24-4-2-2422001-2-21-2-2-4222-1-1000000000−23−232323112-1-1000000000033−3−3000000000000000-4-422-4422-4-2-200-122-1224-2-2-2110000000002323−23−23-1-1-2110000000000−3−333000000000000000
χ1284-444-20-4-42004i−4i4-2-2-422000000000004i−4i−2i2i0000-22000000000−2i2i000000000000000000000-44-4-42044-200−4i4i-4224-2-200000000000−4i4i2i−2i00002-20000000002i−2i000000000000000000000
χ1294-444-20-4-4200−4i4i4-2-2-42200000000000−4i4i2i−2i0000-220000000002i−2i000000000000000000000-44-4-42044-2004i−4i-4224-2-2000000000004i−4i−2i2i00002-2000000000−2i2i000000000000000000000
χ1304-44-240-42-40000-24-222-4000000000−2i22i20000−2i22i2−2i22i2-2200000000000i2−i2i2−i2i2−i2000000000000000-44-42-404-2400002-42-2-240000000002i2−2i200002i2−2i22i2−2i22-200000000000−i2i2−i2i2−i2i2000000000000000
χ1314-44-240-42-40000-24-222-40000000002i2−2i200002i2−2i22i2−2i2-2200000000000−i2i2−i2i2−i2i2000000000000000-44-42-404-2400002-42-2-24000000000−2i22i20000−2i22i2−2i22i22-200000000000i2−i2i2−i2i2−i2000000000000000
χ1324-4-24-202-4223−234i−4i-21-222-10−33023−230−2i32i300−2i2i−2i2i00001-10−330000i3−i3i−i000000000000000000000-442-420-24-2−2323−4i4i2-12-2-2103−30−232302i3−2i3002i−2i2i−2i0000-1103−30000−i3i3−ii000000000000000000000
χ1334-4-24-202-4223−23−4i4i-21-222-10−33023−2302i3−2i3002i−2i2i−2i00001-10−330000−i3i3−ii000000000000000000000-442-420-24-2−23234i−4i2-12-2-2103−30−23230−2i32i300−2i2i−2i2i0000-1103−30000i3−i3i−i000000000000000000000
χ1344-4-24-202-42−23234i−4i-21-222-103−30−232302i3−2i300−2i2i−2i2i00001-103−30000−i3i3i−i000000000000000000000-442-420-24-223−23−4i4i2-12-2-210−33023−230−2i32i3002i−2i2i−2i0000-110−330000i3−i3−ii000000000000000000000
χ1354-4-24-202-42−2323−4i4i-21-222-103−30−23230−2i32i3002i−2i2i−2i00001-103−30000i3−i3−ii000000000000000000000-442-420-24-223−234i−4i2-12-2-210−33023−2302i3−2i300−2i2i−2i2i0000-110−330000−i3i3i−i000000000000000000000
χ1364-4-2-24022-423−23001-2-2-122023−230−33000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-10−3300000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000-4422-40-2-24−232300-1221-2-20−232303−30002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-1103−300000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000
χ1374-4-2-24022-423−23001-2-2-122023−230−330002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231-10−3300000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000-4422-40-2-24−232300-1221-2-20−232303−3000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-1103−300000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000
χ1384-4-2-24022-4−2323001-2-2-1220−232303−3000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-103−300000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000-4422-40-2-2423−2300-1221-2-2023−230−330002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-110−3300000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000
χ1394-4-2-24022-4−2323001-2-2-1220−232303−30002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-103−300000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000-4422-40-2-2423−2300-1221-2-2023−230−33000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-110−3300000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000
χ14088-4-4-48-4-4-4-4-400222222-422-4220000000000000-1-12-1-100000000000000000000000000000-8-8444-84444400-2-2-2-2-2-24-2-24-2-2000000000000011-21100000000000000000000000000000
χ14188-4-4-4-8-4-4-444002222224-2-24-2-20000000000000-1-1-21100000000000000000000000000000-8-84448444-4-400-2-2-2-2-2-2-422-4220000000000000112-1-100000000000000000000000000000
χ1428-88-4-40-8440000-4-424-2400000000000000000002-200000000000000000000000000000000-88-84408-4-4000044-2-42-40000000000000000000-2200000000000000000000000000000000
χ1438-8-4-4-4044443−4300222-2-2-20−23230−23230000000000000-1103−300000000000000000000000000000-884440-4-4-4−434300-2-2-2222023−23023−2300000000000001-10−3300000000000000000000000000000
χ1448-8-4-4-40444−434300222-2-2-2023−23023−230000000000000-110−3300000000000000000000000000000-884440-4-4-443−4300-2-2-22220−23230−232300000000000001-103−300000000000000000000000000000

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