Finite Group Databasebeta

← Group #13155728

Character table — Group #13155728

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1244233346661212121212123336666661212121212121212123666666121212121212128888224466881212242424244444888888242424246666666121212121212122424242424241212121224242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-1-1-111-1-1-1-11111-11-111-1-1-11-111-1-1111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1111-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-1111-11-1-1111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ911-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i11-1-111i−i-1-1ii−i−iii−i−ii−i11-1-1ii−i−i1111111-1-1-1-1-1-1-1i−iii−i−iii−i−ii−i11-1-1i−i
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i1-1-1111i−i-1-1ii−i−i−i−iiii−i-1-111ii−i−i-11-111-1-11-11-1-111i−iii−i−i−i−iiii−i-1-111−ii
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i-111-1-1-1−ii11−i−iii−i−iiii−i-1-111ii−i−i1-11-1-111-11-111-1-1−ii−i−iii−i−iiii−i-1-111i−i
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i-1-111-1-1−ii11−i−iiiii−i−ii−i11-1-1ii−i−i-1-1-1-1-1-1-11111111−ii−i−iiiii−i−ii−i11-1-1−ii
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iii11-1-111−ii-1-1−i−iii−i−iii−ii11-1-1−i−iii1111111-1-1-1-1-1-1-1−ii−i−iii−i−iii−ii11-1-1−ii
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iii1-1-1111−ii-1-1−i−iiiii−i−i−ii-1-111−i−iii-11-111-1-11-11-1-111−ii−i−iiiii−i−i−ii-1-111i−i
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iii-111-1-1-1i−i11ii−i−iii−i−i−ii-1-111−i−iii1-11-1-111-11-111-1-1i−iii−i−iii−i−i−ii-1-111−ii
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iii-1-111-1-1i−i11ii−i−i−i−iii−ii11-1-1−i−iii-1-1-1-1-1-1-11111111i−iii−i−i−i−iii−ii11-1-1i−i
χ172222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-1000022222200220000000000222200002-1-1-1-1-1-12-1-1-1-1-1-1000000000000-1-1-1-100
χ182222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-100002-22-22200220000000000-2-2-2-20000-2-11-1-111-2-11-1-111000000000000111100
χ192222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-10000-22-22-2-200-2-20000000000-2-2-2-2000021-111-1-121-111-1-1000000000000111100
χ202222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-10000-2-2-2-2-2-200-2-2000000000022220000-2111111-2111111000000000000-1-1-1-100
χ21222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-122222020-1-122-1-1-1-1-1-10000220000-1-1-1-1020-1-100020-1-10022-1-1-1-10000-1-1000000
χ22222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-12222-20-2011-2-21111110000220000-1-1-1-10-2011000-201100-2-211110000-1-1000000
χ23222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-1-2-2-2-22020-1-1-2-2-1-111110000-2-200001111020-1-100020-1-100-2-21111000011000000
χ24222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-1-2-2-2-2-20-20112211-1-1-1-10000-2-2000011110-2011000-20110022-1-1-1-1000011000000
χ2522222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-100000202002200222222220000000000-10200-1-1-10200-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2622222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-10000020200-2-200-2-2-2-2-2-2-2-20000000000-10200-1-1-10200-1-1111111111100000000
χ2722222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-100000-20-20022002222-2-2-2-2000000000010-2001110-20011-1-1-1-1-1-1111100000000
χ2822222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-100000-20-200-2-200-2-2-2-22222000000000010-2001110-20011111111-1-1-1-100000000
χ292222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-2222222000000000000000000-2-200002222000000000000000000000000-2-2000000
χ302222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-222-2-2-2-2000000000000000000220000-2-2-2-200000000000000000000000022000000
χ312222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-122220000−i3i300−i3i3−i3i3−i3i30000-2-20000-1-1-1-1000−i3i300000−i3i30000−i3i3−i3i3000011000000
χ322222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-122220000i3−i300i3−i3i3−i3i3−i30000-2-20000-1-1-1-1000i3−i300000i3−i30000i3−i3i3−i3000011000000
χ332222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-1-2-2-2-20000−i3i300−i3i3i3−i3i3−i300002200001111000−i3i300000−i3i30000i3−i3i3−i30000-1-1000000
χ342222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-1-2-2-2-20000i3−i300i3−i3−i3i3−i3i300002200001111000i3−i300000i3−i30000−i3i3−i3i30000-1-1000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22i2i−2i−2i000000000000000000−2i2i00002i2i−2i−2i000000000000000000000000−2i2i000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2−2i−2i2i2i0000000000000000002i−2i0000−2i−2i2i2i0000000000000000000000002i−2i000000
χ3722-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111112i2i−2i−2i0000−i3i300i3−i33−3−330000−2i2i0000−i−iii000−i3i300000i3−i300003−3−330000i−i000000
χ3822-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111112i2i−2i−2i0000i3−i300−i3i3−333−30000−2i2i0000−i−iii000i3−i300000−i3i30000−333−30000i−i000000
χ3922-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-211111−2i−2i2i2i0000−i3i300i3−i3−333−300002i−2i0000ii−i−i000−i3i300000i3−i30000−333−30000−ii000000
χ4022-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-211111−2i−2i2i2i0000i3−i300−i3i33−3−3300002i−2i0000ii−i−i000i3−i300000−i3i300003−3−330000−ii000000
χ4122-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-111000022-2-22200-2-2000000000022-2-200002-1-1-1-1-1-1-2111111000000000000-1-11100
χ4222-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-11100002-2-222200-2-20000000000-2-2220000-2-11-1-11121-111-1-100000000000011-1-100
χ4322-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-1110000-222-2-2-200220000000000-2-222000021-111-1-1-2-11-1-11100000000000011-1-100
χ4422-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-1110000-2-222-2-20022000000000022-2-20000-21111112-1-1-1-1-1-1000000000000-1-11100
χ4522-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-1112i2i−2i−2i20-20-1-12i−2i11−i−iii00002i−2i0000−i−iii020-1-1000-2011002i−2i−i−iii0000−ii000000
χ4622-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-1112i2i−2i−2i-202011−2i2i-1-1ii−i−i00002i−2i0000−i−iii0-201100020-1-100−2i2iii−i−i0000−ii000000
χ4722-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-111−2i−2i2i2i20-20-1-1−2i2i11ii−i−i0000−2i2i0000ii−i−i020-1-1000-201100−2i2iii−i−i0000i−i000000
χ4822-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-111−2i−2i2i2i-2020112i−2i-1-1−i−iii0000−2i2i0000ii−i−i0-201100020-1-1002i−2i−i−iii0000i−i000000
χ4922-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-1110000020-2002i−2i002i2i−2i−2i2i2i−2i−2i0000000000-10200-1-110-20011−ii−i−iii−i−iii00000000
χ5022-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-1110000020-200−2i2i00−2i−2i2i2i−2i−2i2i2i0000000000-10200-1-110-20011i−iii−i−iii−i−i00000000
χ5122-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-11100000-202002i−2i002i2i−2i−2i−2i−2i2i2i000000000010-20011-10200-1-1−ii−i−iiiii−i−i00000000
χ5222-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-11100000-20200−2i2i00−2i−2i2i2i2i2i−2i−2i000000000010-20011-10200-1-1i−iii−i−i−i−iii00000000
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i22200-2-2-20002i−2i2i−2i2i−2i0200000-2000002i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000001+i−1−i1−i−1+i002−2−i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000001+i−1−i1−i−1+i002−2−i2i200
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i22200-2-2-20002i−2i2i−2i2i−2i0200000-2000002i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000−1−i1+i−1+i1−i00−22i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000−1−i1+i−1+i1−i00−22i2−i200
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i22200-2-2-20002i−2i2i−2i2i−2i0200000-2000002i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000001+i−1−i1−i−1+i00−22i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000001+i−1−i1−i−1+i00−22i2−i200
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i22200-2-2-20002i−2i2i−2i2i−2i0200000-2000002i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000−1−i1+i−1+i1−i002−2−i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000−1−i1+i−1+i1−i002−2−i2i200
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22200-2-2-2000−2i2i−2i2i−2i2i0200000-200000−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000001−i−1+i1+i−1−i002−2i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000001−i−1+i1+i−1−i002−2i2−i200
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22200-2-2-2000−2i2i−2i2i−2i2i0200000-200000−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000−1+i1−i−1−i1+i00−22−i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000−1+i1−i−1−i1+i00−22−i2i200
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22200-2-2-2000−2i2i−2i2i−2i2i0200000-200000−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000001−i−1+i1+i−1−i00−22−i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000001−i−1+i1+i−1−i00−22−i2i200
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22200-2-2-2000−2i2i−2i2i−2i2i0200000-200000−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000−1+i1−i−1−i1+i002−2i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000−1+i1−i−1−i1+i002−2i2−i200
χ61444444-2-244-2-2-2-244-2-2-2-21-2-2-2-2144-2-2-211-2-2-21-2-21111-2-21111100004040-2-200-2-20000000000000000000-2011000-201100000000000000000000
χ62444444-2-244-2-2-2-244-2-2-2-21-2-2-2-2144-2-2-211-2-2-21-2-21111-2-2111110000-40-40220022000000000000000000020-1-100020-1-100000000000000000000
χ6344444-24-24-24-2-2-2-2-244-21-24-2-21-2-2-2411-2-2-2-2-21-21-2111-21-2111100000404000000000000000000000000-20-20011-20-20011000000000000000000
χ6444444-24-24-24-2-2-2-2-244-21-24-2-21-2-2-2411-2-2-2-2-21-21-2111-21-2111100000-40-400000000000000000000000020200-1-120200-1-1000000000000000000
χ6544444-2-244-2-2444-2-2-2-21-2-2-241-2-2-2-2-2-2-2-2-211411-2-21111-2-2111100000000004400-2-2-2-20000000000000000000000000000-2-21111000000000000
χ6644444-2-244-2-2444-2-2-2-21-2-2-241-2-2-2-2-2-2-2-2-211411-2-21111-2-211110000000000-4-4002222000000000000000000000000000022-1-1-1-1000000000000
χ674444-444-2-444-2-2-244444-2-2-424-2-2-4-4-4-2-2-2-2442-2-42222-2-42222-2-20000000000000000000000000000000000000000000000000000000000000000
χ684444-44-2-2-44-2-2-2-244-2-2-2-2122-2-21-4-42-2-211-2-22122-1-1-1122-1-1-11100000000−2i32i300−2i32i3000000000000000000000i3−i300000i3−i300000000000000000000
χ694444-44-2-2-44-2-2-2-244-2-2-2-2122-2-21-4-42-2-211-2-22122-1-1-1122-1-1-111000000002i3−2i3002i3−2i3000000000000000000000−i3i300000−i3i300000000000000000000
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χ894-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200-422000−2i2i−2i2i4i−4i0-200000200000−2i2i00000000000000000000000022−22−2i22i2000000000000000000000000000000−22i2−i200
χ904-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200-422000−2i2i−2i2i4i−4i0-200000200000−2i2i000000000000000000000000−22222i2−2i20000000000000000000000000000002−2−i2i200
χ914-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2002-420004i−4i−2i2i−2i2i0-200000200000−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ924-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2002-420004i−4i−2i2i−2i2i0-200000200000−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ934-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-4000−2i2i4i−4i−2i2i0-200000200000−2i2i0000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000−1−i1+i−1+i1−i00000000
χ944-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-4000−2i2i4i−4i−2i2i0-200000200000−2i2i000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000000000001+i−1−i1−i−1+i00000000
χ954-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200-4220002i−2i2i−2i−4i4i0-2000002000002i−2i00000000000000000000000022−222i2−2i2000000000000000000000000000000−22−i2i200
χ964-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200-4220002i−2i2i−2i−4i4i0-2000002000002i−2i000000000000000000000000−2222−2i22i20000000000000000000000000000002−2i2−i200
χ974-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2002-42000−4i4i2i−2i2i−2i0-2000002000002i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ984-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2002-42000−4i4i2i−2i2i−2i0-2000002000002i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ994-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-40002i−2i−4i4i2i−2i0-2000002000002i−2i0000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000−1+i1−i−1−i1+i00000000
χ1004-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-40002i−2i−4i4i2i−2i0-2000002000002i−2i000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000000001−i−1+i1+i−1−i00000000
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χ1028888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222442224442222224-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-4-8-4-4-4444444222-4-4222-444-2-2-2-2-2-24-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000000000
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χ1058-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-420044-2000−4i4i2i−2i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1068-88i−8i0-48-404-84−4i4i−4i4i8i−8i-42-4004-240002i−2i−4i4i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
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χ1088-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000000000
χ1098-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-420044-20004i−4i−2i2i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i0-48-404-844i−4i4i−4i−8i8i-42-4004-24000−2i2i4i−4i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i2-4-400-2440004i−4i4i−4i−2i2i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000000000

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