Finite Group Databasebeta

← Group #11787403

Character table — Group #11787403

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444223344666666121212121212121236666666121212121212121288886688121224242424242424242424242424242424888888888824242424242424242424242424242424246612122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11ii−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−ii−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11ii−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−ii−i−i−iii-1-111iiii−i−i−i−i-1-1-1-111111-111-1-1−i−iii-1-111−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11ii−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11-1-111ii−i−i11-1-1−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11ii−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiii−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1-11-1-111−i−iii-1-111ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11−i−iii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−iiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-11-1-111ii−i−i-1-111−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11−i−iii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−ii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11-1-111−i−iii11-1-1ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11−i−iii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−iiii−i−i-1-111−i−i−i−iiiii-1-1-1-111111-111-1-1ii−i−i-1-111ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11−i−iii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-111-1-1−i−iii11-1-1−i−iii
χ1722222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-122222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ1822222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-122222-1-1-2-2-1-1-2-211-2-211111111112200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ1922222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ2022222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-1-1-2-2-1-1-2-211-2-21111111111-2-200000000111111110000000022-1-1-1-1000000000000
χ212222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ222222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ232222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000-1-1-2-2-1-111-2-211-2-211111111002222-2-2-2-20000000011111111000000-1-1-1-100000000
χ242222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000-1-1-2-2-1-111-2-211-2-21111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-22222-2-200-2-20000000000000000-2-20000000022-2-222-2-200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-2-2-2-2-200-2-200000000000000002200000000-2-222-2-22200000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2222211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-2-200000000-1-111-1-1110000000000−i3i3−i3i3000000000000
χ2822222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2222211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-2-200000000-1-111-1-1110000000000i3−i3i3−i3000000000000
χ2922222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2-2-2-2-211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3220000000011-1-111-1-10000000000i3−i3i3−i3000000000000
χ3022222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2-2-2-2-211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3220000000011-1-111-1-10000000000−i3i3−i3i3000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i−2i−2i2200-2-20000000000000000−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2−2i−2i2i2i2200-2-200000000000000002i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-22i2i−2i−2i-1-10011003−300−3333−3−3−3−333−2i2i00000000−i−iiiii−i−i0000000000−i3i3i3−i3000000000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-22i2i−2i−2i-1-1001100−33003−3−3−33333−3−3−2i2i00000000−i−iiiii−i−i0000000000i3−i3−i3i3000000000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2−2i−2i2i2i-1-10011003−300−3333−3−3−3−3332i−2i00000000ii−i−i−i−iii0000000000i3−i3−i3i3000000000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2−2i−2i2i2i-1-1001100−33003−3−3−33333−3−32i−2i00000000ii−i−i−i−iii0000000000−i3i3i3−i3000000000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-1111122i2i−2i−2i112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii2i−2i00000000−i−i−i−iiiii000000002-2-1-111000000000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-1111122i2i−2i−2i11−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i2i−2i00000000−i−i−i−iiiii00000000-2211-1-1000000000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112−2i−2i2i2i112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii−2i2i00000000iiii−i−i−i−i00000000-2211-1-1000000000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112−2i−2i2i2i11−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i−2i2i00000000iiii−i−i−i−i000000002-2-1-111000000000000
χ412222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-10000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii002i2i−2i−2i22-2-200000000-1-1-1-11111000000−i−iii00000000
χ422222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-10000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00−2i−2i2i2i-2-222000000001111-1-1-1-1000000ii−i−i00000000
χ432222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i002i2i−2i−2i-2-222000000001111-1-1-1-1000000−i−iii00000000
χ442222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00−2i−2i2i2i22-2-200000000-1-1-1-11111000000ii−i−i00000000
χ4522-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i02ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002−2−i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130022−2−2−i2−i2i2i2000000000000001+i−1−i1−i−1+i
χ4622-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i02ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−22i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2−222i2i2−i2−i200000000000000−1−i1+i−1+i1−i
χ4722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i0−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000002−2−i2i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130022−2−2−i2−i2i2i200000000000000−1−i1+i−1+i1−i
χ4822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i0−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−22i2−i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2−222i2i2−i2−i2000000000000001+i−1−i1−i−1+i
χ4922-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i0−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000002−2i2−i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230022−2−2i2i2−i2−i2000000000000001−i−1+i1+i−1−i
χ5022-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i0−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−22−i2i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2−222−i2−i2i2i200000000000000−1+i1−i−1−i1+i
χ5122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i02ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002−2i2−i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230022−2−2i2i2−i2−i200000000000000−1+i1−i−1−i1+i
χ5222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i02ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−22−i2i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2−222−i2−i2i2i2000000000000001−i−1+i1+i−1−i
χ532-2-2222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-2-2222-2-2-222-200002-2002-20000000000000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
χ542-2-2222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-2-2222-2-2-222-200002-2002-2000000000000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i00000000
χ552-2-2222-2-22-2-122-211-2-2-12-1-12211-2-2-1-112-211-1-12-211-1-110000-1100-11−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3002i−2i2i−2i0000000000003−33−33−33−3000000−ii−ii00000000
χ562-2-2222-2-22-2-122-211-2-2-12-1-12211-2-2-1-112-211-1-12-211-1-110000-1100-11−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300−2i2i−2i2i000000000000−33−33−33−33000000i−ii−i00000000
χ572-2-2222-2-22-2-122-211-2-2-12-1-12211-2-2-1-112-211-1-12-211-1-110000-1100-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3002i−2i2i−2i000000000000−33−33−33−33000000−ii−ii00000000
χ582-2-2222-2-22-2-122-211-2-2-12-1-12211-2-2-1-112-211-1-12-211-1-110000-1100-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i300−2i2i−2i2i0000000000003−33−33−33−3000000i−ii−i00000000
χ592-2-2222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-22-2-22-2-22-2-22220000-2200-2200000000000000000000000000000000000000000000000000002-22-20000
χ602-2-2222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-22-2-22-2-22-2-22220000-2200-220000000000000000000000000000000000000000000000000000-22-220000
χ612-2-22-2-2222-222-22-2-2-2-222-2-2-2-2222222-22-2-2-22-2-2222-2-2200002-200-2200000000000000000000000000000000000000000000000000002-2-220000
χ622-2-22-2-2222-222-22-2-2-2-222-2-2-2-2222222-22-2-2-22-2-2222-2-2200002-200-220000000000000000000000000000000000000000000000000000-222-20000
χ632-2-22-2-222-22222-2-2-2-2-222-2-2-2-222222-22-22-2-2222-222-2-2-20000-22002-20000000000000000002-2-22000000000000000000000000002-2-2200000000
χ642-2-22-2-222-22222-2-2-2-2-222-2-2-2-222222-22-22-2-2222-222-2-2-20000-22002-2000000000000000000-222-200000000000000000000000000-222-200000000
χ652-2-22-2-222-22-122-211-2-2-1211-2-2-1-122-11-1-2211-1-12-2-1-111100001-100-113−300−33003−33−3−33−33002-2-22000000000000−33−333−33−3000000-111-100000000
χ662-2-22-2-222-22-122-211-2-2-1211-2-2-1-122-11-1-2211-1-12-2-1-111100001-100-113−300−33003−33−3−33−3300-222-20000000000003−33−3−33−330000001-1-1100000000
χ672-2-22-2-222-22-122-211-2-2-1211-2-2-1-122-11-1-2211-1-12-2-1-111100001-100-11−33003−300−33−333−33−3002-2-220000000000003−33−3−33−33000000-111-100000000
χ682-2-22-2-222-22-122-211-2-2-1211-2-2-1-122-11-1-2211-1-12-2-1-111100001-100-11−33003−300−33−333−33−300-222-2000000000000−33−333−33−30000001-1-1100000000
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-20000114411-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000000
χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-2000011-4-41122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-4-4-24-4-4-2-244-24-2-244-2-244-222-4-4-2-2-22-4-4-2-2-2-220000220022000000000000000000000000000000000000000000000000000000000000
χ7244444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212222111222111120000-1-100-1-100−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ7344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212222111222111120000-1-100-1-1002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
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χ934-44-4−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-22000−2i2i2i−2i0000000000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000
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χ1004-4-4444-4-4-444-2-44-4-4224-244-2-2-4-422-2-442-222-2-42-222-2-2400002-2002-2000000000000000000000000000000000000000000000000000000000000
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χ1024-4-4444-4-4-44-2-2-442222-2-2-2-2-2-2222212-22-2-1-1122-2-1-111-20000-1100-11000000003-3-333-3-3300000000000000000000000000000000000000000000
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χ1064-4-44-4-4444-4-2-2-442222-2-22222-2-2-2-21-22-22-1-1122-211-1-1-200001-100-11000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1074-4-44-4-4444-4-2-2-442222-2-22222-2-2-2-21-22-22-1-1122-211-1-1-200001-100-1100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
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χ1094-4-44-4-444-44-2-24-42222-2-22222-2-2-2-212-22-2-1-11-2-2211-1-120000-11001-123−2300−232300−33−333−33−300000000000000000000000000000000000000000000
χ1104-4-44-4-444-44-2-24-42222-2-22222-2-2-2-212-22-2-1-11-2-2211-1-120000-11001-1−23230023−23003−33−3−33−3300000000000000000000000000000000000000000000
χ11188-8-88i−8i8i−8i00-4-400-44-4444−4i4i−4i4i−4i4i−4i4i200002-2-20002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i200002-2-2000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i00-4-4004-44-444−4i4i−4i4i4i−4i4i−4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i8i−8i00-4-4004-44-4444i−4i4i−4i−4i4i−4i4i20000-22-20002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000

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