Finite Group Databasebeta

← Group #11787399

Character table — Group #11787399

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122244442233446666661212121212121212366666661212121212121212888824666666666612121212121212121212224488888824242424242424242424242424242424668812122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11ii−i−i1-11111-1-11111-1-1-1-111-1-1-1-111-1-1i−i11-1-1iiii−i−i−i−i1111-1-1-1-111i−i-1-1ii−i−iii−i−iii−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−i1-11111-1-11111-1-1-1-111-1-1-1-1-1-111i−i-1-111iiii−i−i−i−i-1-1-1-11111-1-1i−i11ii−i−i−i−iii−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-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1i−i-1-111iiii−i−i−i−i-1-1-1-1111111−ii-1-1−i−iii−i−iiiii−i−i
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-11-1-1-1-1-1-1-1-1-1-11111111111-1-111i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-1−ii11−i−iiiii−i−i−i−iii
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11−i−iii1-11111-1-11111-1-1-1-111-1-1-1-111-1-1−ii11-1-1−i−i−i−iiiii1111-1-1-1-111−ii-1-1−i−iii−i−iii−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−iii1-11111-1-11111-1-1-1-111-1-1-1-1-1-111−ii-1-111−i−i−i−iiiii-1-1-1-11111-1-1−ii11−i−iiiii−i−iii−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-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1−ii-1-111−i−i−i−iiiii-1-1-1-1111111i−i-1-1ii−i−iii−i−i−i−iii
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-11-1-1-1-1-1-1-1-1-1-11111111111-1-111−ii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-1i−i11ii−i−i−i−iiiii−i−i
χ1722222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-1-1-100-1-1000000000000
χ1822222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111110011000000000000
χ1922222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-211-1-11111-2-211-1-11111222200-2-2-2-20000000011111111-1-100-1-1000000000000
χ2022222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-211-1-11111-2-211-1-11111-2-2-2-200222200000000-1-1-1-1-1-1-1-1110011000000000000
χ212222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-100000000002200-1-1-1-100000000
χ222222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122222-2-211-2-2-1-1111111-2-2-1-111110000220000-1-1-1-1-1-1-1-10000000000-2-200111100000000
χ232222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-20000111111110000000000-2-200111100000000
χ242222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-2-2-2-2-2-211-2-2-1-1111111-2-2-1-111110000-2-200001111111100000000002200-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-22222000000-2-200000000-2-200000000-2-2000022-2-222-2-200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-2-2-2000000-2-200000000-2-200000000220000-2-222-2-22200000000000000000000000000
χ2722222222-2-2-12-2-2-1-122-122222-1-1-1-1-111-2-2-1-1-111-2-1-1-1-1-2222200−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i30000-2-20000-1-111-1-11100000000000000−i3i3−i3i300000000
χ2822222222-2-2-12-2-2-1-122-122222-1-1-1-1-111-2-2-1-1-111-2-1-1-1-1-2222200i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i30000-2-20000-1-111-1-11100000000000000i3−i3i3−i300000000
χ2922222222-2-2-12-2-2-1-122-122222-1-1-1-1-111-2-2-1-1-111-2-1-1-1-1-2-2-2-2-200−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i3000022000011-1-111-1-100000000000000i3−i3i3−i300000000
χ3022222222-2-2-12-2-2-1-122-122222-1-1-1-1-111-2-2-1-1-111-2-1-1-1-1-2-2-2-2-200i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i3000022000011-1-111-1-100000000000000−i3i3−i3i300000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i−2i−2i0000002200000000-2-200000000−2i2i00002i2i−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−2i2i2i0000002200000000-2-2000000002i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-222-12-2-2-1-122-12-2-2-2-21111-1-1-122-1-1-111-21111-22i2i−2i−2i00−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i30000−2i2i0000−i−iiiii−i−i000000000000003−3−3300000000
χ342222-2-2-2-222-12-2-2-1-122-12-2-2-2-21111-1-1-122-1-1-111-21111-22i2i−2i−2i00i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i30000−2i2i0000−i−iiiii−i−i00000000000000−333−300000000
χ352222-2-2-2-222-12-2-2-1-122-12-2-2-2-21111-1-1-122-1-1-111-21111-2−2i−2i2i2i00−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i300002i−2i0000ii−i−i−i−iii00000000000000−333−300000000
χ362222-2-2-2-222-12-2-2-1-122-12-2-2-2-21111-1-1-122-1-1-111-21111-2−2i−2i2i2i00i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i300002i−2i0000ii−i−i−i−iii000000000000003−3−3300000000
χ372222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-1-122-11111-100002-222-1-111-1-1-1-1-2-211-1-1111122-2-20022-2-200000000-1-1-1-11111-1-10011000000000000
χ382222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-1-122-11111-100002-222-1-111-1-1-1-1-2-211-1-11111-2-22200-2-222000000001111-1-1-1-11100-1-1000000000000
χ392222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-1-122-11111-10000-22-2-21111111122-1-1-1-1-1-1-1-122-2-200-2-222000000001111-1-1-1-1-1-10011000000000000
χ402222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-1-122-11111-10000-22-2-21111111122-1-1-1-1-1-1-1-1-2-2220022-2-200000000-1-1-1-111111100-1-1000000000000
χ412222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-1-1-1-12111122i2i−2i−2i2-2-1-12211-1-1-1-111-2-2-1-1111100002i−2i0000−i−i−i−iiiii00000000002i−2i00−i−iii00000000
χ422222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-1-1-1-12111122i2i−2i−2i-2211-2-2111111-1-122-1-1-1-1-1-100002i−2i0000−i−i−i−iiiii0000000000−2i2i00ii−i−i00000000
χ432222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-1-1-1-1211112−2i−2i2i2i2-2-1-12211-1-1-1-111-2-2-1-111110000−2i2i0000iiii−i−i−i−i0000000000−2i2i00ii−i−i00000000
χ442222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-1-1-1-1211112−2i−2i2i2i-2211-2-2111111-1-122-1-1-1-1-1-10000−2i2i0000iiii−i−i−i−i00000000002i−2i00−i−iii00000000
χ4522-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-2-20002i2i−2i−2i02ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002−2−i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130022−2−2−i2−i2i2i200000000001+i−1−i1−i−1+i0000
χ4622-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-2-20002i2i−2i−2i02ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−22i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−2−222i2i2−i2−i20000000000−1−i1+i−1+i1−i0000
χ4722-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-2-20002i2i−2i−2i0−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000002−2−i2i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130022−2−2−i2−i2i2i20000000000−1−i1+i−1+i1−i0000
χ4822-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-2-20002i2i−2i−2i0−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−22i2−i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−2−222i2i2−i2−i200000000001+i−1−i1−i−1+i0000
χ4922-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-2-2000−2i−2i2i2i0−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000002−2i2−i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230022−2−2i2i2−i2−i200000000001−i−1+i1+i−1−i0000
χ5022-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-2-2000−2i−2i2i2i0−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−22−i2i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−2−222−i2−i2i2i20000000000−1+i1−i−1−i1+i0000
χ5122-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-2-2000−2i−2i2i2i02ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002−2i2−i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230022−2−2i2i2−i2−i20000000000−1+i1−i−1−i1+i0000
χ5222-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-2-2000−2i−2i2i2i02ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−22−i2i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−2−222−i2−i2i2i200000000001−i−1+i1+i−1−i0000
χ532-2-2222-2-22-2222-2-2-2-2-2222-22-22-22-222-22-2-2-222-222-22-2-200000000002-2000000002-2000000000000000000000000000000000000000000002i−2i2i−2i
χ542-2-2222-2-22-2222-2-2-2-2-2222-22-22-22-222-22-2-2-222-222-22-2-200000000002-2000000002-200000000000000000000000000000000000000000000−2i2i−2i2i
χ552-2-2222-2-2-2222-22-2-2-2-2222-22-22-22-22-22-22-2-22-22-22-22-220000000000-2200000000-2200002-22-200000000000000000000002-2002-2000000000000
χ562-2-2222-2-2-2222-22-2-2-2-2222-22-22-22-22-22-22-2-22-22-22-22-220000000000-2200000000-220000-22-220000000000000000000000-2200-22000000000000
χ572-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-111-1-221-11-11-100000000−i3i31-1−i3i3−i3i300−i3i31-1−i3i3−i3i32-22-200000000000000−i3i3−i3i3−i3i3−i3i3-1100-11000000000000
χ582-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-111-1-221-11-11-100000000−i3i31-1−i3i3−i3i300−i3i31-1−i3i3−i3i3-22-2200000000000000i3−i3i3−i3i3−i3i3−i31-1001-1000000000000
χ592-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-111-1-221-11-11-100000000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i32-22-200000000000000i3−i3i3−i3i3−i3i3−i3-1100-11000000000000
χ602-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-111-1-221-11-11-100000000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i3-22-2200000000000000−i3i3−i3i3−i3i3−i3i31-1001-1000000000000
χ612-2-22-2-2222-222-22-2-2-2-222-22-22-22-2222-22-2-2-22-22-2-22-22200000000002-200000000-2200002-2-2200000000000000000000002-200-22000000000000
χ622-2-22-2-2222-222-22-2-2-2-222-22-22-22-2222-22-2-2-22-22-2-22-22200000000002-200000000-220000-222-20000000000000000000000-22002-2000000000000
χ632-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-2211-11-1-100000000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i32-2-2200000000000000−i3i3−i3i3i3−i3i3−i3-11001-1000000000000
χ642-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-2211-11-1-100000000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i3-222-200000000000000i3−i3i3−i3−i3i3−i3i31-100-11000000000000
χ652-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-2211-11-1-100000000i3−i3-11i3−i3i3−i300−i3i31-1−i3i3−i3i32-2-2200000000000000i3−i3i3−i3−i3i3−i3i3-11001-1000000000000
χ662-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-2211-11-1-100000000i3−i3-11i3−i3i3−i300−i3i31-1−i3i3−i3i3-222-200000000000000−i3i3−i3i3i3−i3i3−i31-100-11000000000000
χ672-2-22-2-222-22222-2-2-2-2-222-22-22-22-222-22-22-2-222-22-22-22-20000000000-22000000002-2000000000000000000000000000000000000000000002-2-22
χ682-2-22-2-222-22222-2-2-2-2-222-22-22-22-222-22-22-2-222-22-22-22-20000000000-22000000002-200000000000000000000000000000000000000000000-222-2
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-2000044-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000000000
χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-20000-4-4222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-4-44-2-4-444-2-24-2-2-2-2-24444-2-4-422-2-2-2-4-42-2-2-2-220000000000220000000022000000000000000000000000000000000000000000000000
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χ8244-4-44i−4i4i−4i00-2400-224-42-44i4i−4i−4i−2i−2i2i2i-20000-222000−2i−2i2i2i0−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000
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χ914-44-44i−4i−4i4i00-24002-2-442-44i−4i−4i4i−2i2i2i−2i-200002-22000−2i2i2i−2i0000000000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300000000000000000000000000
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χ1004-4-4444-4-44-4-2-24-42222-2-2-22-22-22-221-22-22-1-11-22-21-11-1200000000001-1-333-300001-1-333-300000000000000000000000000000000000000000000
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χ1034-4-4444-4-4-44-2-2-442222-2-2-22-22-22-2212-22-2-1-112-221-11-1-2000000002i3−2i3-11−i3i3−i3i3002i3−2i3-11−i3i3−i3i300000000000000000000000000000000000000000000
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χ1054-4-44-4-4444-4-2-2-442222-2-22-22-22-22-21-22-22-1-112-22-11-11-200000000−2i32i31-1i3−i3i3−i3002i3−2i3-11−i3i3−i3i300000000000000000000000000000000000000000000
χ1064-4-44-4-4444-4-2-2-442222-2-22-22-22-22-21-22-22-1-112-22-11-11-2000000002i3−2i31-1−i3i3−i3i300−2i32i3-11i3−i3i3−i300000000000000000000000000000000000000000000
χ1074-4-44-4-444-444-24-4-4-4224-22-22-2-44-44-2-442-222-24-4-22-22-2200000000002-200000000-22000000000000000000000000000000000000000000000000
χ1084-4-44-4-444-44-244-422-4-4-24-44-442-22-2-22-2-4422-2-2242-22-2-400000000002-200000000-22000000000000000000000000000000000000000000000000
χ1094-4-44-4-444-44-2-24-42222-2-22-22-22-22-212-22-2-1-11-22-2-11-1120000000000-113-3-3300001-1-333-300000000000000000000000000000000000000000000
χ1104-4-44-4-444-44-2-24-42222-2-22-22-22-22-212-22-2-1-11-22-2-11-1120000000000-11-333-300001-13-3-3300000000000000000000000000000000000000000000
χ11188-8-88i−8i8i−8i00-4-400-44-4444−4i−4i4i4i−4i−4i4i4i200002-2-20002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8−8i8i−8i8i00-4-400-44-44444i4i−4i−4i4i4i−4i−4i200002-2-2000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i00-4-4004-44-444−4i4i4i−4i−4i4i4i−4i20000-22-20002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i8i−8i00-4-4004-44-4444i−4i−4i4i4i−4i−4i4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000

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