Finite Group Databasebeta

← Group #10714432

Character table — Group #10714432

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222222244444444444444444444444444444444444444161616161616161616161616242424242424242448484848
order12222234444666666688888812121212161616161616161624242424242424244848484848484848484848484848484822446666121212122488161616168888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222222222222-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-2000000000000000000000000000022-2-200000000
χ10222222222222222222-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-20000000000000000000000000000-2-22200000000
χ112222222-2-2-2-22222222000000-2-2-2-22222−2−2−2−20000000022222222−2−2−2−2−2−2−2−2000000000000002i−2i−i2−i2i2i20000
χ122222222-2-2-2-22222222000000-2-2-2-22222−2−2−2−20000000022222222−2−2−2−2−2−2−2−200000000000000−2i2ii2i2−i2−i20000
χ132222222-2-2-2-22222222000000-2-2-2-2−2−2−2−2222200000000−2−2−2−2−2−2−2−222222222000000000000002i−2ii2i2−i2−i20000
χ142222222-2-2-2-22222222000000-2-2-2-2−2−2−2−2222200000000−2−2−2−2−2−2−2−22222222200000000000000−2i2i−i2−i2i2i20000
χ15222222-12222-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-12222-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ17222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-11111000000000000
χ18222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-1000000000000
χ192222-2-222-22-22-2-2-2-2222222-2-22-2-2222-2-222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000
χ202222-2-222-22-22-2-2-2-2222222-2-22-2-22-2-222-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000
χ212222-2-222-22-22-2-2-2-222-2-2-2-2222-2-2200000000-2-22222-2-2000000000000000000000000000000002i−2i2i−2i0000
χ222222-2-222-22-22-2-2-2-222-2-2-2-2222-2-2200000000-2-22222-2-200000000000000000000000000000000−2i2i−2i2i0000
χ232222-2-22-22-222-2-2-2-222000000-222-222−2−2−2−222000000002222−2−2−2−2−2−2−2−222220000000000002-2002−2−220000
χ242222-2-22-22-222-2-2-2-222000000-222-222−2−2−2−222000000002222−2−2−2−2−2−2−2−22222000000000000-2200−222−20000
χ252222-2-22-22-222-2-2-2-222000000-222-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−20000000000002-200−222−20000
χ262222-2-22-22-222-2-2-2-222000000-222-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−2000000000000-22002−2−220000
χ272222-2-2-12-22-2-11111-1-12222-2-2-111-122-2-222-2-2-1-11111-1-1-1-1-1-11111-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ282222-2-2-12-22-2-11111-1-12222-2-2-111-122-2-222-2-2-1-11111-1-1-1-1-1-11111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ292222-2-2-12-22-2-11111-1-12222-2-2-111-1-2-222-2-222-1-11111-1-11111-1-1-1-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ302222-2-2-12-22-2-11111-1-12222-2-2-111-1-2-222-2-222-1-11111-1-11111-1-1-1-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ312-22-22-22-222-2-222-2-22-222-2-22-2-22-2200000000-2-222-2-222000000000000000000000000000000000000002i−2i
χ322-22-22-22-222-2-222-2-22-222-2-22-2-22-2200000000-2-222-2-22200000000000000000000000000000000000000−2i2i
χ332-22-22-22-222-2-222-2-22-2-2-222-22-22-220000000022-2-222-2-20000000000000000002i−2i00002i−2i2i−2i000000000000
χ342-22-22-22-222-2-222-2-22-2-2-222-22-22-220000000022-2-222-2-2000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ352-22-22-2-1-222-21-1-111-11-2-222-221-11-100000000-1-111-1-11133−3−333−3−333−3−333−3−3002i−2i−i3i3−i3i3−ii−ii000000000000
χ362-22-22-2-1-222-21-1-111-11-2-222-221-11-100000000-1-111-1-11133−3−333−3−333−3−333−3−300−2i2ii3−i3i3−i3i−ii−i000000000000
χ372-22-22-2-1-222-21-1-111-11-2-222-221-11-100000000-1-111-1-111−3−333−3−333−3−333−3−333002i−2ii3−i3i3−i3−ii−ii000000000000
χ382-22-22-2-1-222-21-1-111-11-2-222-221-11-100000000-1-111-1-111−3−333−3−333−3−333−3−33300−2i2i−i3i3−i3i3i−ii−i000000000000
χ392-22-2-222-2-222-2-2-2222-222-2-2-22-2-22200000000-2-2-2-222220000000000000000000000000000000000002-200
χ402-22-2-222-2-222-2-2-2222-222-2-2-22-2-22200000000-2-2-2-22222000000000000000000000000000000000000-2200
χ412-22-2-222-2-222-2-2-2222-2-2-2222-2-2-222000000002222-2-2-2-200000000000000002-2002-2-220000000000000000
χ422-22-2-222-2-222-2-2-2222-2-2-2222-2-2-222000000002222-2-2-2-20000000000000000-2200-222-20000000000000000
χ432-22-2-22-1-2-222111-1-1-11-2-2222-211-1-100000000-1-1-1-1111133−3−3−3−33333−3−3−3−3332-200-111-13−3−33000000000000
χ442-22-2-22-1-2-222111-1-1-11-2-2222-211-1-100000000-1-1-1-1111133−3−3−3−33333−3−3−3−333-22001-1-11−333−3000000000000
χ452-22-2-22-1-2-222111-1-1-11-2-2222-211-1-100000000-1-1-1-11111−3−33333−3−3−3−33333−3−32-200-111-1−333−3000000000000
χ462-22-2-22-1-2-222111-1-1-11-2-2222-211-1-100000000-1-1-1-11111−3−33333−3−3−3−33333−3−3-22001-1-113−3−33000000000000
χ47444444-24444-2-2-2-2-2-2-2-4-4-4-4-4-4-2-2-2-200000000222222220000000000000000000000000000000000000000
χ48444444-2-4-4-4-4-2-2-2-2-2-2-2000000222222222222−22−22−22−2200000000−2−2−2−2−2−2−2−222222222000000000000000000000000
χ49444444-2-4-4-4-4-2-2-2-2-2-2-20000002222−22−22−22−22222222220000000022222222−2−2−2−2−2−2−2−2000000000000000000000000
χ504444-4-4-24-44-4-22222-2-2-4-4-4-444-222-20000000022-2-2-2-2220000000000000000000000000000000000000000
χ514444-4-4-2-44-44-22222-2-20000002-2-222222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−2000000000000000000000000
χ524444-4-4-2-44-44-22222-2-20000002-2-22−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−22222000000000000000000000000
χ5344-4-4004000040000-4-422−2222−22000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4722−22000022−2200002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000000000000000
χ5444-4-4004000040000-4-422−2222−2200000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4722−22000022−220000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4300002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000000000000000000000
χ5544-4-4004000040000-4-4−2222−222200000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−22220000−22220000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000000000000000000000
χ5644-4-4004000040000-4-4−2222−2222000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−22220000−222200002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000000000000000
χ5744-4-400-20000-2−2i32i3−2i32i32222−2222−22000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−22i6−i6i6−i6−22−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000000000000000000000
χ5844-4-400-20000-2−2i32i3−2i32i32222−2222−2200000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−22i6−i6i6−i6−22ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000000000000000000000
χ5944-4-400-20000-2−2i32i3−2i32i322−2222−222200000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432−2−i6i6−i6i62−2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000000000000000000000
χ6044-4-400-20000-2−2i32i3−2i32i322−2222−2222000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432−2−i6i6−i6i62−2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000000000000000000000
χ6144-4-400-20000-22i3−2i32i3−2i32222−2222−22000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−22−i6i6−i6i6−22ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000000000000000000000
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χ664-44-44-4-24-4-442-2-222-22000000-22-22000000000000000066−6−666−6−6−6−666−6−666000000000000000000000000
χ674-44-44-4-24-4-442-2-222-22000000-22-220000000000000000−6−666−6−66666−6−666−6−6000000000000000000000000
χ684-44-44-4-2-444-42-2-222-2244-4-44-42-22-20000000022-2-222-2-20000000000000000000000000000000000000000
χ694-44-4-44444-4-4-4-4-4444-400000044-4-400000000000000000000000000000000000000000000000000000000
χ704-44-4-44-244-4-4222-2-2-22000000-2-222000000000000000066−6−6−6−666−6−66666−6−6000000000000000000000000
χ714-44-4-44-244-4-4222-2-2-22000000-2-2220000000000000000−6−66666−6−666−6−6−6−666000000000000000000000000
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χ744-4-440040000-40000-4422−22−2222000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700−2222000022−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000000000000000000000
χ754-4-440040000-40000-44−222222−22000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430022−220000−2222−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000000000000000000000
χ764-4-440040000-40000-44−222222−220000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430022−220000−22222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000000000000000000000
χ774-4-4400-200002−2i32i32i3−2i32-222−22−22220000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47002−2i6−i6−i6i6−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000
χ784-4-4400-200002−2i32i32i3−2i32-222−22−2222000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002−2i6−i6−i6i6−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000
χ794-4-4400-200002−2i32i32i3−2i32-2−222222−22000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300−22−i6i6i6−i62−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000
χ804-4-4400-200002−2i32i32i3−2i32-2−222222−220000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−22−i6i6i6−i62−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000
χ814-4-4400-2000022i3−2i3−2i32i32-222−22−22220000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47002−2−i6i6i6−i6−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000
χ824-4-4400-2000022i3−2i3−2i32i32-222−22−2222000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002−2−i6i6i6−i6−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000
χ834-4-4400-2000022i3−2i3−2i32i32-2−222222−22000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300−22i6−i6−i6i62−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000
χ844-4-4400-2000022i3−2i3−2i32i32-2−222222−220000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−22i6−i6−i6i62−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.