Finite Group Databasebeta

← Group #10949505

Character table — Group #10949505

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222222222224444444444444444444444444444444444444488881212121216161616161616161616242424242424242424244848
order122222344446668888121212126688121216161616161616162424242424242424484848484848484848484848484848484444444424661212121212122222881616161622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ91111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-11-111-1-11-1
χ101111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-1-1-111-11-1-111-11
χ111111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1111-111-1-1-11
χ121111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1-11-1-1111-1
χ131111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-1-111-1-11111-1-11-1-1-111-11
χ141111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-1-111-1-111-1-111-1111-1-11-1
χ151111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-111-1-111-1-1-1-1111-1-1-1111-1
χ161111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-111-1-111-1-111-1-1-1111-1-1-11
χ1722222222222222-2-2-2-2222222-2-22200000000-2-2-2-2-2-2-2-200000000000000000000222200000000000000-2-2000000
χ1822222222222222-2-2-2-2222222-2-22200000000-2-2-2-2-2-2-2-200000000000000000000-2-2-2-20000000000000022000000
χ192222222-2-2-2-22220000-2-2-2-22200-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−200002-22-200000000000000002−22−200
χ202222222-2-2-2-22220000-2-2-2-22200-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−20000-22-220000000000000000−22−2200
χ212222222-2-2-2-22220000-2-2-2-22200-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−2222200002-22-20000000000000000−22−2200
χ222222222-2-2-2-22220000-2-2-2-22200-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−222220000-22-2200000000000000002−22−200
χ23222222-12222-1-1-12222-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-1000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000
χ25222222-12222-1-1-12222-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122220000-2-211-1-1-1-111000000000000
χ26222222-12222-1-1-12222-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000022-1-11111-1-1000000000000
χ272222-2-2222-2-222200002222-2-200-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−2222200002-2-2200000000000000002−2−2200
χ282222-2-2222-2-222200002222-2-200-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−222220000-222-20000000000000000−222−200
χ292222-2-2222-2-222200002222-2-200-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−200002-2-220000000000000000−222−200
χ302222-2-2222-2-222200002222-2-200-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−20000-222-200000000000000002−2−2200
χ312222-2-22-2-222222-2-2-2-2-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000000022-2-200000000000000-22000000
χ322222-2-22-2-222222-2-2-2-2-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000-2-222000000000000002-2000000
χ332222-2-2-1-2-222-1-1-12222111111-2-2-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-200002-2-1-1-1-11111000000000000
χ342222-2-2-1-2-222-1-1-12222111111-2-2-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2220000-221111-1-1-1-1000000000000
χ352222-2-2-1-2-222-1-1-12222111111-2-2-1-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-20000-2211-1-111-1-1000000000000
χ362222-2-2-1-2-222-1-1-12222111111-2-2-1-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22200002-2-1-111-1-111000000000000
χ3722-2-22-222-22-2-2-2222-2-222-2-22-22-2-22000000002222-2-2-2-200000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ3822-2-22-222-22-2-2-2222-2-222-2-22-22-2-22000000002222-2-2-2-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ3922-2-22-222-22-2-2-22-2-22222-2-22-2-22-2200000000-2-2-2-2222200000000000000000000000000000000002-22-200000000
χ4022-2-22-222-22-2-2-22-2-22222-2-22-2-22-2200000000-2-2-2-222220000000000000000000000000000000000-22-2200000000
χ4122-2-22-2-12-22-211-122-2-2-1-111-112-21-100000000-1-1-1-1111133−3−333−3−333−3−333−3−32i−2i2i−2i000000−i3i3−ii−ii−i3i3000000000000
χ4222-2-22-2-12-22-211-122-2-2-1-111-112-21-100000000-1-1-1-1111133−3−333−3−333−3−333−3−3−2i2i−2i2i000000i3−i3i−ii−ii3−i3000000000000
χ4322-2-22-2-12-22-211-122-2-2-1-111-112-21-100000000-1-1-1-11111−3−333−3−333−3−333−3−3332i−2i2i−2i000000i3−i3−ii−iii3−i3000000000000
χ4422-2-22-2-12-22-211-122-2-2-1-111-112-21-100000000-1-1-1-11111−3−333−3−333−3−333−3−333−2i2i−2i2i000000−i3i3i−ii−i−i3i3000000000000
χ4522-2-2-222-222-2-2-2222-2-2-2-222-22-22-220000000022-2-222-2-200000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ4622-2-2-222-222-2-2-2222-2-2-2-222-22-22-220000000022-2-222-2-20000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ4722-2-2-222-222-2-2-22-2-222-2-222-222-2-2200000000-2-222-2-22200000000000000000000000000000000002-2-2200000000
χ4822-2-2-222-222-2-2-22-2-222-2-222-222-2-2200000000-2-222-2-2220000000000000000000000000000000000-222-200000000
χ4922-2-2-22-1-222-211-122-2-211-1-11-1-221-100000000-1-111-1-11133−3−333−3−3−3−333−3−3332i−2i−2i2i000000−i3i3−iii−ii3−i3000000000000
χ5022-2-2-22-1-222-211-122-2-211-1-11-1-221-100000000-1-111-1-11133−3−333−3−3−3−333−3−333−2i2i2i−2i000000i3−i3i−i−ii−i3i3000000000000
χ5122-2-2-22-1-222-211-122-2-211-1-11-1-221-100000000-1-111-1-111−3−333−3−33333−3−333−3−32i−2i−2i2i000000i3−i3−iii−i−i3i3000000000000
χ5222-2-2-22-1-222-211-122-2-211-1-11-1-221-100000000-1-111-1-111−3−333−3−33333−3−333−3−3−2i2i2i−2i000000−i3i3i−i−iii3−i3000000000000
χ53444444-24444-2-2-2-4-4-4-4-2-2-2-2-2-2-4-4-2-200000000222222220000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-200002222-2-200222222−22−222222−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-200002222-2-20022−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000000000
χ564444-4-4-244-4-4-2-2-20000-2-2-2-22200222222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−2000000000000000000000000000000
χ574444-4-4-244-4-4-2-2-20000-2-2-2-2220022−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−22222000000000000000000000000000000
χ584444-4-4-2-4-444-2-2-2-4-4-4-422222244-2-20000000022-2-2-2-2220000000000000000000000000000000000000000000000
χ5944-4-44-44-44-44-4-440000-4-4444-4004-400000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-4-24-44-422-2-4-444-2-222-22-442-2000000002222-2-2-2-20000000000000000000000000000000000000000000000
χ6144-4-44-4-2-44-4422-2000022-2-2-2200-22000000000000000066−6−6−6−66666−6−6−6−666000000000000000000000000000000
χ6244-4-44-4-2-44-4422-2000022-2-2-2200-220000000000000000−6−66666−6−6−6−66666−6−6000000000000000000000000000000
χ6344-4-4-4444-4-44-4-44000044-4-4-44004-400000000000000000000000000000000000000000000000000000000000000
χ6444-4-4-44-24-4-4422-20000-2-2222-200-22000000000000000066−6−6−6−666−6−66666−6−6000000000000000000000000000000
χ6544-4-4-44-24-4-4422-20000-2-2222-200-220000000000000000−6−66666−6−666−6−6−6−666000000000000000000000000000000
χ6644-4-4-44-2-444-422-2-4-44422-2-22-24-42-20000000022-2-222-2-20000000000000000000000000000000000000000000000
χ674-44-400400004-4-422−2222−22000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4722−22000022−22000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000000000000000000000
χ684-44-400400004-4-422−2222−2200000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4722−22000022−2200000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000000000000000000000
χ694-44-400400004-4-4−2222−222200000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−22220000−222200000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000000000000000000000000
χ704-44-400400004-4-4−2222−2222000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−22220000−2222000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000000000000000000000000
χ714-44-400-20000-22222−2222−2223−2323−2300000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−226−66−6−22−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−ζ47−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+ζ47000000000000000000000000000000
χ724-44-400-20000-22222−2222−2223−2323−230000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−226−66−6−22ζ11−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+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000000000
χ734-44-400-20000-22222−2222−22−2323−232300000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−22−66−66−22ζ11−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−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+ζ47000000000000000000000000000000
χ744-44-400-20000-22222−2222−22−2323−23230000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−22−66−66−22−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−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000000000
χ754-44-400-20000-222−2222−222223−2323−230000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432−2−66−662−2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−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+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000000000
χ764-44-400-20000-222−2222−222223−2323−2300000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432−2−66−662−2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−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+ζ43000000000000000000000000000000
χ774-44-400-20000-222−2222−2222−2323−23230000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432−26−66−62−2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−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+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000000000
χ784-44-400-20000-222−2222−2222−2323−232300000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432−26−66−62−2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−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−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000000000000
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χ844-4-4400-200002-2222−22−222223−23−23230000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−226−6−662−2−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−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+ζ43000000000000000000000000000000
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χ894-4-4400-200002-22−222222−22−232323−230000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700002−26−6−66−22−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+ζ47ζ11−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+ζ47000000000000000000000000000000
χ904-4-4400-200002-22−222222−22−232323−23000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700002−26−6−66−22ζ11−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−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−ζ47000000000000000000000000000000

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