Finite Group Databasebeta

← Group #13166399

Character table — Group #13166399

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224444444446688888888991212121212121212181818363636363636365454108108112224444444446688888888991212121212121212181818363636363636365454108108
order1234633661212121212883366121212124424242424242424242121268824242424888822646666612121212128866661212121244242424242424242421212688242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111111111-1-1-1-1i−iii−i−i-1-1i−i111111111111111111111111-1-111111111-1-1-1-1i−iii−i−i-1-1i−i
χ4111111111111111111111111-1-111111111-1-1-1-1−ii−i−iii-1-1−ii111111111111111111111111-1-111111111-1-1-1-1−ii−i−iii-1-1−ii
χ511111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ611111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iii−i−i11−ii11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iii−i−i11−ii
χ811111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii11i−i11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii11i−i
χ9222-222222-2-2-2-2-2002222-2-2-2-22200000000-222-20000000000222-222222-2-2-2-2-2002222-2-2-2-22200000000-222-20000000000
χ10222-222222-2-2-2-2-2002222-2-2-2-2-2-2000000002-2-220000000000222-222222-2-2-2-2-2002222-2-2-2-2-2-2000000002-2-220000000000
χ1122-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-122-1-1-1-1000022-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-122-1-1-1-10000
χ1222-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-1-2-21111000022-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-1-2-211110000
χ1322-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-21112i−2i−i−iii000022-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-21112i−2i−i−iii0000
χ1422-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-2111−2i2iii−i−i000022-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-2111−2i2iii−i−i0000
χ1522-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100−i3i3−i3i3000022-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100−i3i3−i3i30000
χ1622-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100i3−i3i3−i3000022-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100i3−i3i3−i30000
χ1722-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-1003−3−33000022-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-1003−3−330000
χ1822-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-100−333−3000022-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-100−333−30000
χ192-220-222-2-2000002−222-2-200002i−2i2222−2−2−2−202i−2i0000000−i2i2002-220-222-2-2000002−222-2-200002i−2i2222−2−2−2−202i−2i0000000−i2i200
χ202-220-222-2-2000002−222-2-20000−2i2i2222−2−2−2−20−2i2i0000000i2−i2002-220-222-2-2000002−222-2-20000−2i2i2222−2−2−2−20−2i2i0000000i2−i200
χ212-220-222-2-200000−2222-2-200002i−2i−2−2−2−2222202i−2i0000000i2−i2002-220-222-2-200000−2222-2-200002i−2i−2−2−2−2222202i−2i0000000i2−i200
χ222-220-222-2-200000−2222-2-20000−2i2i−2−2−2−222220−2i2i0000000−i2i2002-220-222-2-200000−2222-2-20000−2i2i−2−2−2−222220−2i2i0000000−i2i200
χ23444441-21-2411-2-2441-21-211-2-20011-2-211-2-200000000000000444441-21-2411-2-2441-21-211-2-20011-2-211-2-200000000000000
χ24444441-21-2411-2-2-4-41-21-211-2-200-1-122-1-12200000000000000444441-21-2411-2-2-4-41-21-211-2-200-1-122-1-12200000000000000
χ2544444-21-214-2-21144-21-21-2-21100-2-211-2-2110000000000000044444-21-214-2-21144-21-21-2-21100-2-211-2-21100000000000000
χ2644444-21-214-2-211-4-4-21-21-2-2110022-1-122-1-10000000000000044444-21-214-2-211-4-4-21-21-2-2110022-1-122-1-100000000000000
χ27444-441-21-2-4-1-122001-21-2-1-122003i−3i003i−3i0000000000000000444-441-21-2-4-1-122001-21-2-1-122003i−3i003i−3i0000000000000000
χ28444-441-21-2-4-1-122001-21-2-1-12200−3i3i00−3i3i0000000000000000444-441-21-2-4-1-122001-21-2-1-12200−3i3i00−3i3i0000000000000000
χ29444-44-21-21-422-1-100-21-2122-1-100003i−3i003i−3i00000000000000444-44-21-21-422-1-100-21-2122-1-100003i−3i003i−3i00000000000000
χ30444-44-21-21-422-1-100-21-2122-1-10000−3i3i00−3i3i00000000000000444-44-21-21-422-1-100-21-2122-1-10000−3i3i00−3i3i00000000000000
χ314-440-41-2-1203i−3i0022−221-2-123i−3i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322000000000000004-440-41-2-1203i−3i0022−221-2-123i−3i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232200000000000000
χ324-440-41-2-1203i−3i00−22221-2-123i−3i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2000000000000004-440-41-2-1203i−3i00−22221-2-123i−3i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−200000000000000
χ334-440-41-2-120−3i3i0022−221-2-12−3i3i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322000000000000004-440-41-2-120−3i3i0022−221-2-12−3i3i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232200000000000000
χ344-440-41-2-120−3i3i00−22221-2-12−3i3i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2000000000000004-440-41-2-120−3i3i00−22221-2-12−3i3i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−200000000000000
χ354-440-4-212-10003i−3i22−22-212-1003i−3i00−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000004-440-4-212-10003i−3i22−22-212-1003i−3i00−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000
χ364-440-4-212-10003i−3i−2222-212-1003i−3i00222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000004-440-4-212-10003i−3i−2222-212-1003i−3i00222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000
χ374-440-4-212-1000−3i3i22−22-212-100−3i3i00−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000004-440-4-212-1000−3i3i22−22-212-100−3i3i00−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000
χ384-440-4-212-1000−3i3i−2222-212-100−3i3i0022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000004-440-4-212-1000−3i3i−2222-212-100−3i3i0022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000
χ394-4-20244-4-40000000-2-22200004i−4i000000000−2i2i000000000004-4-20244-4-40000000-2-22200004i−4i000000000−2i2i00000000000
χ404-4-20244-4-40000000-2-2220000−4i4i0000000002i−2i000000000004-4-20244-4-40000000-2-2220000−4i4i0000000002i−2i00000000000
χ4188-48-42-42-4-422-4-400-12-12-1-12200000000000000000000000088-48-42-42-4-422-4-400-12-12-1-122000000000000000000000000
χ4288-48-4-42-42-4-4-422002-12-122-1-100000000000000000000000088-48-4-42-42-4-4-422002-12-122-1-1000000000000000000000000
χ4388-4-8-42-42-44-2-24400-12-1211-2-200000000000000000000000088-4-8-42-42-44-2-24400-12-1211-2-2000000000000000000000000
χ4488-4-8-4-42-42444-2-2002-12-1-2-21100000000000000000000000088-4-8-4-42-42444-2-2002-12-1-2-211000000000000000000000000
χ458-8-4042-4-2406i−6i0000-121-2−3i3i000000000000000000000000008-8-4042-4-2406i−6i0000-121-2−3i3i00000000000000000000000000
χ468-8-4042-4-240−6i6i0000-121-23i−3i000000000000000000000000008-8-4042-4-240−6i6i0000-121-23i−3i00000000000000000000000000
χ478-8-404-424-20006i−6i002-1-2100−3i3i0000000000000000000000008-8-404-424-20006i−6i002-1-2100−3i3i000000000000000000000000
χ488-8-404-424-2000−6i6i002-1-21003i−3i0000000000000000000000008-8-404-424-2000−6i6i002-1-21003i−3i000000000000000000000000
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
χ5011111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ51111111111111111111111111-1-111111111-1-1-1-1i−iii−i−i-1-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−ii−i−iii11−ii
χ52111111111111111111111111-1-111111111-1-1-1-1−ii−i−iii-1-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111i−iii−i−i11i−i
χ5311111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5411111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ5511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iii−i−i11−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111−ii−i−iii-1-1i−i
χ5611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii11i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111i−iii−i−i-1-1−ii
χ57222-222222-2-2-2-2-2002222-2-2-2-22200000000-222-20000000000-2-2-22-2-2-2-2-22222200-2-2-2-22222-2-2000000002-2-220000000000
χ58222-222222-2-2-2-2-2002222-2-2-2-2-2-2000000002-2-220000000000-2-2-22-2-2-2-2-22222200-2-2-2-222222200000000-222-20000000000
χ5922-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-122-1-1-1-10000-2-21-21-2-2-2-21-2-2-2-20011111111-2-200000000-2111-2-211110000
χ6022-12-12222-1222200-1-1-1-1-1-1-1-122000000002-1-1-1-2-211110000-2-21-21-2-2-2-21-2-2-2-20011111111-2-200000000-211122-1-1-1-10000
χ6122-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-21112i−2i−i−iii0000-2-21-21-2-2-2-21-2-2-2-2001111111122000000002-1-1-1−2i2iii−i−i0000
χ6222-12-12222-1222200-1-1-1-1-1-1-1-1-2-200000000-2111−2i2iii−i−i0000-2-21-21-2-2-2-21-2-2-2-2001111111122000000002-1-1-12i−2i−i−iii0000
χ6322-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100−i3i3−i3i30000-2-2121-2-2-2-2-12222001111-1-1-1-1-2-200000000211-100i3−i3i3−i30000
χ6422-1-2-122221-2-2-2-200-1-1-1-111112200000000-2-1-1100i3−i3i3−i30000-2-2121-2-2-2-2-12222001111-1-1-1-1-2-200000000211-100−i3i3−i3i30000
χ6522-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-1003−3−330000-2-2121-2-2-2-2-12222001111-1-1-1-12200000000-2-1-1100−333−30000
χ6622-1-2-122221-2-2-2-200-1-1-1-11111-2-200000000211-100−333−30000-2-2121-2-2-2-2-12222001111-1-1-1-12200000000-2-1-11003−3−330000
χ672-220-222-2-2000002−222-2-200002i−2i2222−2−2−2−202i−2i0000000−i2i200-22-202-2-22200000−22-2-2220000−2i2i−2−2−2−222220−2i2i0000000i2−i200
χ682-220-222-2-2000002−222-2-20000−2i2i2222−2−2−2−20−2i2i0000000i2−i200-22-202-2-22200000−22-2-22200002i−2i−2−2−2−2222202i−2i0000000−i2i200
χ692-220-222-2-200000−2222-2-200002i−2i−2−2−2−2222202i−2i0000000i2−i200-22-202-2-222000002−2-2-2220000−2i2i2222−2−2−2−20−2i2i0000000−i2i200
χ702-220-222-2-200000−2222-2-20000−2i2i−2−2−2−222220−2i2i0000000−i2i200-22-202-2-222000002−2-2-22200002i−2i2222−2−2−2−202i−2i0000000i2−i200
χ71444441-21-2411-2-2441-21-211-2-20011-2-211-2-200000000000000-4-4-4-4-4-12-12-4-1-122-4-4-12-12-1-12200-1-122-1-12200000000000000
χ72444441-21-2411-2-2-4-41-21-211-2-200-1-122-1-12200000000000000-4-4-4-4-4-12-12-4-1-12244-12-12-1-1220011-2-211-2-200000000000000
χ7344444-21-214-2-21144-21-21-2-21100-2-211-2-21100000000000000-4-4-4-4-42-12-1-422-1-1-4-42-12-122-1-10022-1-122-1-100000000000000
χ7444444-21-214-2-211-4-4-21-21-2-2110022-1-122-1-100000000000000-4-4-4-4-42-12-1-422-1-1442-12-122-1-100-2-211-2-21100000000000000
χ75444-441-21-2-4-1-122001-21-2-1-122003i−3i003i−3i0000000000000000-4-4-44-4-12-12411-2-200-12-1211-2-200−3i3i00−3i3i0000000000000000
χ76444-441-21-2-4-1-122001-21-2-1-12200−3i3i00−3i3i0000000000000000-4-4-44-4-12-12411-2-200-12-1211-2-2003i−3i003i−3i0000000000000000
χ77444-44-21-21-422-1-100-21-2122-1-100003i−3i003i−3i00000000000000-4-4-44-42-12-14-2-211002-12-1-2-2110000−3i3i00−3i3i00000000000000
χ78444-44-21-21-422-1-100-21-2122-1-10000−3i3i00−3i3i00000000000000-4-4-44-42-12-14-2-211002-12-1-2-21100003i−3i003i−3i00000000000000
χ794-440-41-2-1203i−3i0022−221-2-123i−3i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232200000000000000-44-404-121-20−3i3i00−2222-121-2−3i3i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−200000000000000
χ804-440-41-2-1203i−3i00−22221-2-123i−3i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−200000000000000-44-404-121-20−3i3i0022−22-121-2−3i3i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232200000000000000
χ814-440-41-2-120−3i3i0022−221-2-12−3i3i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232200000000000000-44-404-121-203i−3i00−2222-121-23i−3i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−200000000000000
χ824-440-41-2-120−3i3i00−22221-2-12−3i3i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−200000000000000-44-404-121-203i−3i0022−22-121-23i−3i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232200000000000000
χ834-440-4-212-10003i−3i22−22-212-1003i−3i00−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000-44-4042-1-21000−3i3i−22222-1-2100−3i3i00222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000
χ844-440-4-212-10003i−3i−2222-212-1003i−3i00222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000-44-4042-1-21000−3i3i22−222-1-2100−3i3i00−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000
χ854-440-4-212-1000−3i3i22−22-212-100−3i3i00−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000-44-4042-1-210003i−3i−22222-1-21003i−3i0022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000
χ864-440-4-212-1000−3i3i−2222-212-100−3i3i0022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000-44-4042-1-210003i−3i22−222-1-21003i−3i00−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000
χ874-4-20244-4-40000000-2-22200004i−4i000000000−2i2i00000000000-4420-2-4-444000000022-2-20000−4i4i0000000002i−2i00000000000
χ884-4-20244-4-40000000-2-2220000−4i4i0000000002i−2i00000000000-4420-2-4-444000000022-2-200004i−4i000000000−2i2i00000000000
χ8988-48-42-42-4-422-4-400-12-12-1-122000000000000000000000000-8-84-84-24-244-2-244001-21-211-2-2000000000000000000000000
χ9088-48-4-42-42-4-4-422002-12-122-1-1000000000000000000000000-8-84-844-24-2444-2-200-21-21-2-211000000000000000000000000
χ9188-4-8-42-42-44-2-24400-12-1211-2-2000000000000000000000000-8-8484-24-24-422-4-4001-21-2-1-122000000000000000000000000
χ9288-4-8-4-42-42444-2-2002-12-1-2-211000000000000000000000000-8-84844-24-2-4-4-42200-21-2122-1-1000000000000000000000000
χ938-8-4042-4-2406i−6i0000-121-2−3i3i00000000000000000000000000-8840-4-242-40−6i6i00001-2-123i−3i00000000000000000000000000
χ948-8-4042-4-240−6i6i0000-121-23i−3i00000000000000000000000000-8840-4-242-406i−6i00001-2-12−3i3i00000000000000000000000000
χ958-8-404-424-20006i−6i002-1-2100−3i3i000000000000000000000000-8840-44-2-42000−6i6i00-212-1003i−3i000000000000000000000000
χ968-8-404-424-2000−6i6i002-1-21003i−3i000000000000000000000000-8840-44-2-420006i−6i00-212-100−3i3i000000000000000000000000

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