Finite Group Databasebeta

← Group #10714522

Character table — Group #10714522

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222222244444444444444444444444444444444444444161616161616161616161616242424242424242448484848
order124422234446668888121212126688121216161616161616162424242424242424484848484848484848484848484848482444661212121212122488161616168888
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111
χ922222222222222-2-2-2-2222222-2-22200000000-2-2-2-2-2-2-2-2000000000000000000000000000022-2-200000000
χ1022222222222222-2-2-2-2222222-2-22200000000-2-2-2-2-2-2-2-20000000000000000000000000000-2-22200000000
χ112222222-1222-1-1-12222-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ122222222-1222-1-1-12222-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ132222222-1222-1-1-12222-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-1-11111-1-1000000000000
χ142222222-1222-1-1-12222-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22211-1-1-1-111000000000000
χ1522222-2-22-22-2-2-22222222-2-22-2-2-2-220000000022-2-2-2-2220000000000000000000000000000000022-2-20000
χ1622222-2-22-22-2-2-22222222-2-22-2-2-2-220000000022-2-2-2-22200000000000000000000000000000000-2-2220000
χ1722222-2-22-22-2-2-22-2-2-2-222-2-22-222-222i2i2i2i−2i−2i−2i−2i-2-22222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000
χ1822222-2-22-22-2-2-22-2-2-2-222-2-22-222-22−2i−2i−2i−2i2i2i2i2i-2-22222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000
χ1922222-2-2-1-22-211-1-2-2-2-2-1-111-11221-12i2i2i2i−2i−2i−2i−2i11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii0000−i3i333−3−3−i3i3000000000000
χ2022222-2-2-1-22-211-1-2-2-2-2-1-111-11221-12i2i2i2i−2i−2i−2i−2i11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii0000i3−i3−3−333i3−i3000000000000
χ2122222-2-2-1-22-211-1-2-2-2-2-1-111-11221-1−2i−2i−2i−2i2i2i2i2i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i0000−i3i3−3−333−i3i3000000000000
χ2222222-2-2-1-22-211-1-2-2-2-2-1-111-11221-1−2i−2i−2i−2i2i2i2i2i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i0000i3−i333−3−3i3−i3000000000000
χ2322-2-22222-2-2-22220000-2-2-2-22200-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−2000000000000002i−2i−i2i2−i2i20000
χ2422-2-22222-2-2-22220000-2-2-2-22200-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−200000000000000−2i2ii2−i2i2−i20000
χ2522-2-22222-2-2-22220000-2-2-2-22200-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−22222000000000000002i−2ii2−i2i2−i20000
χ2622-2-22222-2-2-22220000-2-2-2-22200-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−2222200000000000000−2i2i−i2i2−i2i20000
χ2722-2-22-2-222-22-2-220000-2-2222-2002-2−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000002-200−i2i2i2−i20000
χ2822-2-22-2-222-22-2-220000-2-2222-2002-2−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000-2200i2−i2−i2i20000
χ2922-2-22-2-222-22-2-220000-2-2222-2002-2i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000002-200i2−i2−i2i20000
χ3022-2-22-2-222-22-2-220000-2-2222-2002-2i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000-2200−i2i2i2−i20000
χ3122-2-2-22-2222-2-2-2222-2-2-2-222-222-2-2200000000-2-222-2-2220000000000000000000000000000000000002i−2i00
χ3222-2-2-22-2222-2-2-2222-2-2-2-222-222-2-2200000000-2-222-2-222000000000000000000000000000000000000−2i2i00
χ3322-2-2-22-2222-2-2-22-2-222-2-222-22-22-220000000022-2-222-2-20000000000000000002i−2i002i−2i2i−2i00000000000000
χ3422-2-2-22-2222-2-2-22-2-222-2-222-22-22-220000000022-2-222-2-2000000000000000000−2i2i00−2i2i−2i2i00000000000000
χ3522-2-2-22-2-122-211-1-2-22211-1-11-1-221-100000000-1-111-1-11133−3−333−3−333−3−333−3−3002i−2i−i3i3−ii−iii3−i3000000000000
χ3622-2-2-22-2-122-211-1-2-22211-1-11-1-221-100000000-1-111-1-11133−3−333−3−333−3−333−3−300−2i2ii3−i3i−ii−i−i3i3000000000000
χ3722-2-2-22-2-122-211-1-2-22211-1-11-1-221-100000000-1-111-1-111−3−333−3−333−3−333−3−333002i−2ii3−i3−ii−ii−i3i3000000000000
χ3822-2-2-22-2-122-211-1-2-22211-1-11-1-221-100000000-1-111-1-111−3−333−3−333−3−333−3−33300−2i2i−i3i3i−ii−ii3−i3000000000000
χ3922-2-2-2-222-22222222-2-2-2-2-2-2-2-2-222200000000-2-2-2-2222200000000000000002-200220000-2-2000000000000
χ4022-2-2-2-222-22222222-2-2-2-2-2-2-2-2-222200000000-2-2-2-222220000000000000000-2200-2-2000022000000000000
χ4122-2-2-2-222-222222-2-222-2-2-2-2-2-22-222000000002222-2-2-2-2000000000000000000000000000000000000002-2
χ4222-2-2-2-222-222222-2-222-2-2-2-2-2-22-222000000002222-2-2-2-200000000000000000000000000000000000000-22
χ4322-2-2-2-22-1-222-1-1-122-2-2111111-22-1-1000000001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-200-1-1−i3i3i3−i311000000000000
χ4422-2-2-2-22-1-222-1-1-122-2-2111111-22-1-1000000001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-220011i3−i3−i3i3-1-1000000000000
χ4522-2-2-2-22-1-222-1-1-122-2-2111111-22-1-1000000001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-200-1-1i3−i3−i3i311000000000000
χ4622-2-2-2-22-1-222-1-1-122-2-2111111-22-1-1000000001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-220011−i3i3i3−i3-1-1000000000000
χ474444444-2444-2-2-2-4-4-4-4-2-2-2-2-2-2-4-4-2-200000000222222220000000000000000000000000000000000000000
χ4844444-4-4-2-44-422-24444-2-222-22-4-42-200000000-2-22222-2-20000000000000000000000000000000000000000
χ494444-44-44-4-44-4-44000044-4-4-44004-400000000000000000000000000000000000000000000000000000000
χ504444-44-4-2-4-4422-20000-2-2222-200-22000000000000000066−6−6−6−66666−6−6−6−666000000000000000000000000
χ514444-44-4-2-4-4422-20000-2-2222-200-220000000000000000−6−66666−6−6−6−66666−6−6000000000000000000000000
χ524444-4-4444-4-444400004444-4-400-4-400000000000000000000000000000000000000000000000000000000
χ534444-4-44-24-4-4-2-2-20000-2-2-2-22200220000000000000000i6i6−i6−i6−i6−i6i6i6−i6−i6i6i6i6i6−i6−i6000000000000000000000000
χ544444-4-44-24-4-4-2-2-20000-2-2-2-22200220000000000000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i6000000000000000000000000
χ5544-4-4444-2-4-4-4-2-2-200002222-2-200222222−22−222222−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000
χ5644-4-4444-2-4-4-4-2-2-200002222-2-20022−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000
χ5744-4-44-4-4-24-4422-2000022-2-2-2200-22−2i2−2i22i22i22i22i2−2i2−2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000
χ5844-4-44-4-4-24-4422-2000022-2-2-2200-222i22i2−2i2−2i2−2i2−2i22i22i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000
χ5944-4-4-44-4-244-422-244-4-422-2-22-24-42-20000000022-2-222-2-20000000000000000000000000000000000000000
χ6044-4-4-4-44-2-444-2-2-2-4-4442222224-4-2-200000000-2-2-2-222220000000000000000000000000000000000000000
χ614-44i−4i000400000-422−22−2i22i24i−4i000000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41−2i22i2000022−222ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41000000000000000000000000
χ624-44i−4i000400000-422−22−2i22i24i−4i00000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41−2i22i2000022−22−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ41000000000000000000000000
χ634-44i−4i000400000-4−22222i2−2i24i−4i00000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ292i2−2i20000−2222−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29000000000000000000000000
χ644-44i−4i000400000-4−22222i2−2i24i−4i000000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ292i2−2i20000−22222ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ29000000000000000000000000
χ654-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−230000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41i2−i26−6i6−i6−22−ζ11+ζ13−ζ29−ζ43ζ11−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+ζ43ζ25+ζ31+ζ41−ζ47−ζ25−ζ31−ζ41+ζ47ζ25−ζ31+ζ41+ζ47−ζ25+ζ31−ζ41−ζ47000000000000000000000000
χ664-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−23000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41i2−i26−6i6−i6−22ζ11−ζ13+ζ29+ζ43−ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29+ζ43−ζ11−ζ13+ζ29−ζ43ζ25−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−ζ43−ζ25−ζ31−ζ41+ζ47ζ25+ζ31+ζ41−ζ47−ζ25+ζ31−ζ41−ζ47ζ25−ζ31+ζ41+ζ47000000000000000000000000
χ674-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29−i2i2−66−i6i62−2−ζ25+ζ31+ζ41+ζ47ζ25−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+ζ47−ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29+ζ43000000000000000000000000
χ684-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−230000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29−i2i2−66−i6i62−2ζ25−ζ31−ζ41−ζ47−ζ25+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−ζ47ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29−ζ43000000000000000000000000
χ694-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23230000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41i2−i2−66−i6i6−22−ζ11−ζ13+ζ29−ζ43ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29−ζ43ζ11−ζ13+ζ29+ζ43ζ25+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−ζ43ζ25−ζ31+ζ41+ζ47−ζ25+ζ31−ζ41−ζ47ζ25+ζ31+ζ41−ζ47−ζ25−ζ31−ζ41+ζ47000000000000000000000000
χ704-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−2323000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41i2−i2−66−i6i6−22ζ11+ζ13−ζ29+ζ43−ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29+ζ43−ζ11+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+ζ43−ζ25+ζ31−ζ41−ζ47ζ25−ζ31+ζ41+ζ47−ζ25−ζ31−ζ41+ζ47ζ25+ζ31+ζ41−ζ47000000000000000000000000
χ714-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29−i2i26−6i6−i62−2ζ25+ζ31−ζ41+ζ47−ζ25−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−ζ47ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29−ζ43000000000000000000000000
χ724-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−23230000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29−i2i26−6i6−i62−2−ζ25−ζ31+ζ41−ζ47ζ25+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+ζ47−ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29+ζ43000000000000000000000000
χ734-4−4i4i000400000-422−222i2−2i2−4i4i00000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ472i2−2i2000022−22−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ47000000000000000000000000
χ744-4−4i4i000400000-422−222i2−2i2−4i4i000000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ472i2−2i2000022−222ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47000000000000000000000000
χ754-4−4i4i000400000-4−2222−2i22i2−4i4i00000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43−2i22i20000−2222−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43000000000000000000000000
χ764-4−4i4i000400000-4−2222−2i22i2−4i4i000000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43−2i22i20000−22222ζ25+2ζ41−2ζ25−2ζ412ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ292ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ47−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ432ζ11+2ζ43−2ζ11−2ζ43000000000000000000000000
χ774-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−2323000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47−i2i2−66i6−i6−22ζ11+ζ13+ζ29−ζ43−ζ11−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+ζ43−ζ25−ζ31+ζ41−ζ47ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41−ζ47−ζ25+ζ31+ζ41+ζ47000000000000000000000000
χ784-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23230000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−i2i2−66i6−i6−22−ζ11−ζ13−ζ29+ζ43ζ11+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−ζ43ζ25+ζ31−ζ41+ζ47−ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41+ζ47ζ25−ζ31−ζ41−ζ47000000000000000000000000
χ794-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43i2−i26−6−i6i62−2ζ25−ζ31+ζ41+ζ47−ζ25+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+ζ47ζ11+ζ13−ζ29+ζ43−ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29+ζ43−ζ11+ζ13−ζ29−ζ43000000000000000000000000
χ804-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−23230000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43i2−i26−6−i6i62−2−ζ25+ζ31−ζ41−ζ47ζ25−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−ζ47−ζ11−ζ13+ζ29−ζ43ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29−ζ43ζ11−ζ13+ζ29+ζ43000000000000000000000000
χ814-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−23000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47−i2i26−6−i6i6−22−ζ11+ζ13+ζ29+ζ43ζ11−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+ζ43ζ25−ζ31−ζ41−ζ47−ζ25+ζ31+ζ41+ζ47−ζ25−ζ31+ζ41−ζ47ζ25+ζ31−ζ41+ζ47000000000000000000000000
χ824-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−230000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−i2i26−6−i6i6−22ζ11−ζ13−ζ29−ζ43−ζ11+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−ζ43−ζ25+ζ31+ζ41+ζ47ζ25−ζ31−ζ41−ζ47ζ25+ζ31−ζ41+ζ47−ζ25−ζ31+ζ41−ζ47000000000000000000000000
χ834-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43i2−i2−66i6−i62−2ζ25+ζ31+ζ41−ζ47−ζ25−ζ31−ζ41+ζ47ζ25−ζ31+ζ41+ζ47−ζ25+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+ζ47ζ11−ζ13+ζ29+ζ43−ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29+ζ43−ζ11−ζ13+ζ29−ζ43000000000000000000000000
χ844-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−230000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43i2−i2−66i6−i62−2−ζ25−ζ31−ζ41+ζ47ζ25+ζ31+ζ41−ζ47−ζ25+ζ31−ζ41−ζ47ζ25−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+ζ43−ζ11−ζ13+ζ29−ζ43ζ11+ζ13−ζ29+ζ43000000000000000000000000

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