Finite Group Databasebeta

← Group #10713685

Character table — Group #10713685

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222222244444444444444444444444444444444888888888888888888888888242424242424242448484848
order1244222344466688888888121212122424242424242424444466888812121212121212121212242424242424242424242424444488881212121212121212242424242424242416161616161616162244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ911-1-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-1-11111-1-1-1-1111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1
χ1011-1-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-1-11111-1-1-1-1111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111
χ1111-1-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-1-11111-1-1-1-1111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111
χ1211-1-1-11-11-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-1-11111-1-1-1-1111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-1
χ1311-1-1-11-11-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-1-111111-1-1111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ1411-1-1-11-11-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-1-111111-1-1111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ1511-1-1-11-11-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-1-111111-1-1111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1611-1-1-11-11-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-1-111111-1-1111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-22222-2-2222222222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ192222222-1222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ202222222-1222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ212222222-1222-1-1-122-2-2-2-222-1-1-1-111111111-2-2-2-2-1-122-2-2-111111111-11111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ222222222-1222-1-1-122-2-2-2-222-1-1-1-111111111-2-2-2-2-1-122-2-2-111111111-11111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ232222222-1222-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-222-111111111-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ242222222-1222-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-222-111111111-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ252222222-1222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ262222222-1222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2722222-2-22-22-22-2-222000022-2-2220000000000002-2-2-200-2000000002000022-2-222-2-200002-22-2000000002-22-22-22-2000000000000
χ2822222-2-22-22-22-2-222000022-2-2220000000000002-2-2-200-2000000002000022-2-222-2-20000-22-2200000000-22-22-22-22000000000000
χ2922222-2-22-22-22-2-2-2-20000-2-2-2-2220000000000002-22200-20000000020000-2-222-2-2222i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3022222-2-22-22-22-2-2-2-20000-2-2-2-2220000000000002-22200-20000000020000-2-222-2-222−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3122222-2-2-1-22-2-1112200002211-1-133−3−333−3−30000-11-2-200133−3−333−3−3-13−33−3-1-111-1-11100002-22-23−3−333−3−33-11-11-11-11000000000000
χ3222222-2-2-1-22-2-1112200002211-1-133−3−333−3−30000-11-2-200133−3−333−3−3-13−33−3-1-111-1-1110000-22-22−333−3−333−31-11-11-11-1000000000000
χ3322222-2-2-1-22-2-1112200002211-1-1−3−333−3−3330000-11-2-2001−3−333−3−333-1−33−33-1-111-1-11100002-22-2−333−3−333−3-11-11-11-11000000000000
χ3422222-2-2-1-22-2-1112200002211-1-1−3−333−3−3330000-11-2-2001−3−333−3−333-1−33−33-1-111-1-1110000-22-223−3−333−3−331-11-11-11-1000000000000
χ3522222-2-2-1-22-2-111-2-20000-2-211-1-133−3−333−3−30000-1122001−3−333−3−333-13−33−311-1-111-1-12i−2i2i−2i0000−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i3000000000000
χ3622222-2-2-1-22-2-111-2-20000-2-211-1-133−3−333−3−30000-1122001−3−333−3−333-13−33−311-1-111-1-1−2i2i−2i2i0000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i3000000000000
χ3722222-2-2-1-22-2-111-2-20000-2-211-1-1−3−333−3−3330000-112200133−3−333−3−3-1−33−3311-1-111-1-12i−2i2i−2i0000−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i3000000000000
χ3822222-2-2-1-22-2-111-2-20000-2-211-1-1−3−333−3−3330000-112200133−3−333−3−3-1−33−3311-1-111-1-1−2i2i−2i2i0000i−ii−ii−ii−i−i3i3i3−i3−i3i3i3−i3000000000000
χ392222-2-222-2-22222002222002222222222220000-2-200-2-2-200000000-2-2-2-2-2000000000000000000000000000000002−22−22−22−20000
χ402222-2-222-2-22222002222002222222222220000-2-200-2-2-200000000-2-2-2-2-200000000000000000000000000000000−22−22−22−220000
χ412222-2-222-2-2222200-2-2-2-2002222-2-2-2-2-2-2-2-20000-2-20022-200000000-22222000000000000000000000000000000002−22−2−22−220000
χ422222-2-222-2-2222200-2-2-2-2002222-2-2-2-2-2-2-2-20000-2-20022-200000000-2222200000000000000000000000000000000−22−222−22−20000
χ4322-2-22-2-222-222-2-20022-2-20022-2-22222-2-2-2-200002-200-22200000000-2-2-22200000000000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ4422-2-22-2-222-222-2-20022-2-20022-2-22222-2-2-2-200002-200-22200000000-2-2-22200000000000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ4522-2-22-2-222-222-2-200-2-2220022-2-2-2-2-2-2222200002-2002-2200000000-222-2-200000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4622-2-22-2-222-222-2-200-2-2220022-2-2-2-2-2-2222200002-2002-2200000000-222-2-200000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ4722-2-2-22-22-2222-2-2-2-222-2-22222-2-22222-2-2-2-2-2-222-22-222-2-2-2-2-2-22222222-2-2-2-2-2-22222000000000000000000000000000000000000
χ4822-2-2-22-22-2222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-22-22-22-22222-2-2-2-22-2-222-2-2-2-22222000000000000000000000000000000000000
χ4922-2-2-22-2-1-222-1112222-2-2-2-2-1-111-1-1-1-1111122-2-21-12-22-21-1-1-1-11111-1-1-111-1-1-1-111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ5022-2-2-22-2-1-222-1112222-2-2-2-2-1-111-1-1-1-1111122-2-21-12-22-21-1-1-1-11111-1-1-111-1-1-1-11111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ5122-2-2-22-2-1-222-11122-2-222-2-2-1-1111111-1-1-1-1-2-2221-12-2-2211111-1-1-1-1-111-1-1-1-1-1-111112i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ5222-2-2-22-2-1-222-11122-2-222-2-2-1-1111111-1-1-1-1-2-2221-12-2-2211111-1-1-1-1-111-1-1-1-1-1-11111−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ5322-2-2-22-2-1-222-111-2-222-2-222-1-111-1-1-1-11111-2-2221-1-222-211111-1-1-1-1-1-1-1111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000
χ5422-2-2-22-2-1-222-111-2-222-2-222-1-111-1-1-1-11111-2-2221-1-222-211111-1-1-1-1-1-1-1111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000
χ5522-2-2-22-2-1-222-111-2-2-2-22222-1-1111111-1-1-1-122-2-21-1-22-221-1-1-1-11111-111-1-11111-1-1-1-10000000033−3−3−3−333−3−33333−3−3000000000000
χ5622-2-2-22-2-1-222-111-2-2-2-22222-1-1111111-1-1-1-122-2-21-1-22-221-1-1-1-11111-111-1-11111-1-1-1-100000000−3−33333−3−333−3−3−3−333000000000000
χ5722-2-2-2-22222-2222220000-2-2-2-2-2-2000000000000-2-2-22002000000002000022-2-2-2-22200002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000000000
χ5822-2-2-2-22222-2222220000-2-2-2-2-2-2000000000000-2-2-22002000000002000022-2-2-2-2220000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i000000000000
χ5922-2-2-2-22222-2222-2-2000022-2-2-2-2000000000000-2-22-20020000000020000-2-22222-2-22-2-2200002-22-2-22-2200000000000000000000
χ6022-2-2-2-22222-2222-2-2000022-2-2-2-2000000000000-2-22-20020000000020000-2-22222-2-2-222-20000-22-222-22-200000000000000000000
χ6122-2-2-2-22-122-2-1-1-1220000-2-2111133−3−3−3−333000011-2200-133−3−3−3−333-13−3−33-1-11111-1-100002i−2i−2i2ii3−i3−i3i3−i3i3i3−i3−ii−iii−ii−i000000000000
χ6222-2-2-2-22-122-2-1-1-1220000-2-2111133−3−3−3−333000011-2200-133−3−3−3−333-13−3−33-1-11111-1-10000−2i2i2i−2i−i3i3i3−i3i3−i3−i3i3i−ii−i−ii−ii000000000000
χ6322-2-2-2-22-122-2-1-1-1220000-2-21111−3−33333−3−3000011-2200-1−3−33333−3−3-1−333−3-1-11111-1-100002i−2i−2i2i−i3i3i3−i3i3−i3−i3i3−ii−iii−ii−i000000000000
χ6422-2-2-2-22-122-2-1-1-1220000-2-21111−3−33333−3−3000011-2200-1−3−33333−3−3-1−333−3-1-11111-1-10000−2i2i2i−2ii3−i3−i3i3−i3i3i3−i3i−ii−i−ii−ii000000000000
χ6522-2-2-2-22-122-2-1-1-1-2-2000022111133−3−3−3−3330000112-200-1−3−33333−3−3-13−3−3311-1-1-1-1112-2-220000-11-111-11-1−333−33−3−33000000000000
χ6622-2-2-2-22-122-2-1-1-1-2-2000022111133−3−3−3−3330000112-200-1−3−33333−3−3-13−3−3311-1-1-1-111-222-200001-11-1-11-113−3−33−333−3000000000000
χ6722-2-2-2-22-122-2-1-1-1-2-20000221111−3−33333−3−30000112-200-133−3−3−3−333-1−333−311-1-1-1-1112-2-220000-11-111-11-13−3−33−333−3000000000000
χ6822-2-2-2-22-122-2-1-1-1-2-20000221111−3−33333−3−30000112-200-133−3−3−3−333-1−333−311-1-1-1-111-222-200001-11-1-11-11−333−33−3−33000000000000
χ694444-44-444-4-44-4-400000000-4-444000000000000-440000400000000-4000000000000000000000000000000000000000000000000
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χ724444-4-44-2-4-44-2-2-200444400-2-2-2-2-2-2-2-2-2-2-2-200002200-4-42000000002222200000000000000000000000000000000000000000000
χ734444-4-44-2-4-44-2-2-200-4-4-4-400-2-2-2-22222222200002200442000000002-2-2-2-200000000000000000000000000000000000000000000
χ7444-4-44444-4-4-444400000000-4-4-4-4000000000000440000-400000000-4000000000000000000000000000000000000000000000000
χ7544-4-4444-2-4-4-4-2-2-20000000022222323−23−23−23−2323230000-2-200002000000002−232323−2300000000000000000000000000000000000000000000
χ7644-4-4444-2-4-4-4-2-2-2000000002222−23−2323232323−23−230000-2-20000200000000223−23−232300000000000000000000000000000000000000000000
χ7744-4-44-4-4-24-44-2220044-4-400-2-222-2-2-2-222220000-2200-44-200000000222-2-200000000000000000000000000000000000000000000
χ7844-4-44-4-4-24-44-22200-4-44400-2-2222222-2-2-2-20000-22004-4-2000000002-2-22200000000000000000000000000000000000000000000
χ794-44i−4i0004000-40022−2222−22−2i22i2−2i22i2004i−4i22−2222−22−2i22i2−2i22i22-22i−2i00000002-22-22i−2i2i−2i0000022−2200−2i22i200000000000000000000000000000000000000
χ804-44i−4i0004000-40022−22−22222i2−2i2−2i22i2004i−4i−2222−22222i2−2i22i2−2i2-22−2i2i0000000-22-22−2i2i−2i2i0000022−2200−2i22i200000000000000000000000000000000000000
χ814-44i−4i0004000-400−222222−22−2i22i22i2−2i2004i−4i22−2222−22−2i22i2−2i22i2-22−2i2i0000000-22-22−2i2i−2i2i00000−2222002i2−2i200000000000000000000000000000000000000
χ824-44i−4i0004000-400−2222−22222i2−2i22i2−2i2004i−4i−2222−22222i2−2i22i2−2i22-22i−2i00000002-22-22i−2i2i−2i00000−2222002i2−2i200000000000000000000000000000000000000
χ834-44i−4i000-20002−2i32i322−2222−22−2i22i2−2i22i223−23−2i2i2ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72-22i−2i0000000−1+31−3−1−31+3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000−226−6i2−i2i6−i6000000000000000000000000000000000000
χ844-44i−4i000-20002−2i32i322−22−22222i2−2i2−2i22i223−23−2i2i−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-22−2i2i00000001−3−1+31+3−1−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000−226−6i2−i2i6−i6000000000000000000000000000000000000
χ854-44i−4i000-20002−2i32i3−222222−22−2i22i22i2−2i223−23−2i2i2ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-22−2i2i00000001−3−1+31+3−1−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22000002−2−66−i2i2−i6i6000000000000000000000000000000000000
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χ894-44i−4i000-200022i3−2i3−222222−22−2i22i22i2−2i2−2323−2i2i2ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-22−2i2i00000001+3−1−31−3−1+3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22000002−26−6−i2i2i6−i6000000000000000000000000000000000000
χ904-44i−4i000-200022i3−2i3−2222−22222i2−2i22i2−2i2−2323−2i2i−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232-22i−2i0000000−1−31+3−1+31−3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22000002−26−6−i2i2i6−i6000000000000000000000000000000000000
χ914-4−4i4i0004000-40022−2222−222i2−2i22i2−2i200−4i4i22−2222−222i2−2i22i2−2i22-2−2i2i00000002-22-2−2i2i−2i2i0000022−22002i2−2i200000000000000000000000000000000000000
χ924-4−4i4i0004000-40022−22−2222−2i22i22i2−2i200−4i4i−2222−2222−2i22i2−2i22i2-222i−2i0000000-22-222i−2i2i−2i0000022−22002i2−2i200000000000000000000000000000000000000
χ934-4−4i4i0004000-400−222222−222i2−2i2−2i22i200−4i4i22−2222−222i2−2i22i2−2i2-222i−2i0000000-22-222i−2i2i−2i00000−222200−2i22i200000000000000000000000000000000000000
χ944-4−4i4i0004000-400−2222−2222−2i22i2−2i22i200−4i4i−2222−2222−2i22i2−2i22i22-2−2i2i00000002-22-2−2i2i−2i2i00000−222200−2i22i200000000000000000000000000000000000000
χ954-4−4i4i000-20002−2i32i322−2222−222i2−2i22i2−2i2−23232i−2i2ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232-2−2i2i0000000−1−31+3−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000−22−66−i2i2i6−i6000000000000000000000000000000000000
χ964-4−4i4i000-20002−2i32i322−22−2222−2i22i22i2−2i2−23232i−2i−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-222i−2i00000001+3−1−31−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000−22−66−i2i2i6−i6000000000000000000000000000000000000
χ974-4−4i4i000-20002−2i32i3−222222−222i2−2i2−2i22i2−23232i−2i2ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-222i−2i00000001+3−1−31−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22000002−26−6i2−i2−i6i6000000000000000000000000000000000000
χ984-4−4i4i000-20002−2i32i3−2222−2222−2i22i2−2i22i2−23232i−2i−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232-2−2i2i0000000−1−31+3−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22000002−26−6i2−i2−i6i6000000000000000000000000000000000000
χ994-4−4i4i000-200022i3−2i322−2222−222i2−2i22i2−2i223−232i−2i2ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72-2−2i2i0000000−1+31−3−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000−226−6−i2i2−i6i6000000000000000000000000000000000000
χ1004-4−4i4i000-200022i3−2i322−22−2222−2i22i22i2−2i223−232i−2i−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-222i−2i00000001−3−1+31+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000−226−6−i2i2−i6i6000000000000000000000000000000000000
χ1014-4−4i4i000-200022i3−2i3−222222−222i2−2i2−2i22i223−232i−2i2ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-222i−2i00000001−3−1+31+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22000002−2−66i2−i2i6−i6000000000000000000000000000000000000
χ1024-4−4i4i000-200022i3−2i3−2222−2222−2i22i2−2i22i223−232i−2i−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72-2−2i2i0000000−1+31−3−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22000002−2−66i2−i2i6−i6000000000000000000000000000000000000

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