Finite Group Databasebeta

← Group #13136932

Character table — Group #13136932

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111112222222228889999991212121218181818181818181818181818181818181818181818181818181818181818181824242424242448484848727272727272727272
order12336648812122424242441212441212121233662668816161616161616162424242448484848484848484848484848484848121224242424121212122668824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111111-1-1-1i−iii−i−i
χ4111111111111111111-1-1-1-1-1-11111-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111111-1-1-1−ii−i−iii
χ5111111111111111-1-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1111−ii−i−iii
χ8111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1111i−iii−i−i
χ92222222-2-222-2-2-2-20002222222222222-2-200000000-2-2-2-2000000000000000022-2-2-2-20000000000000
χ102222222-2-222-2-2-2-2000-2-2-2-2-2-22222-2-2-222000000002222000000000000000022-2-2-2-20000000000000
χ11222222-200-2-200000002222222222-2-2-20022−2−222−2−200002222−2−2−2−22222−2−2−2−2-2-200000000000000000
χ12222222-200-2-200000002222222222-2-2-200−2−222−2−2220000−2−2−2−22222−2−2−2−22222-2-200000000000000000
χ13222222-200-2-20000000-2-2-2-2-2-2222222200−i2−i2i2i2i2i2−i2−i20000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2-200000000000000000
χ14222222-200-2-20000000-2-2-2-2-2-2222222200i2i2−i2−i2−i2−i2i2i20000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2-200000000000000000
χ152-222-2-202−20022−2−20002i−2i2i2i−2i−2i22-2-2000−i2i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−i2−i2i2i2ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ430022−2−20000000000000
χ162-222-2-202−20022−2−20002i−2i2i2i−2i−2i22-2-2000−i2i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−i2−i2i2i2−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ430022−2−20000000000000
χ172-222-2-202−20022−2−2000−2i2i−2i−2i2i2i22-2-2000i2−i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47i2i2−i2−i2−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ470022−2−20000000000000
χ182-222-2-202−20022−2−2000−2i2i−2i−2i2i2i22-2-2000i2−i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47i2i2−i2−i2ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ470022−2−20000000000000
χ192-222-2-20−2200−2−2220002i−2i2i2i−2i−2i22-2-2000i2−i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47i2i2−i2−i2−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ4700−2−2220000000000000
χ202-222-2-20−2200−2−2220002i−2i2i2i−2i−2i22-2-2000i2−i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47i2i2−i2−i2ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ4700−2−2220000000000000
χ212-222-2-20−2200−2−222000−2i2i−2i−2i2i2i22-2-2000−i2i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−i2−i2i2i2ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ4300−2−2220000000000000
χ222-222-2-20−2200−2−222000−2i2i−2i−2i2i2i22-2-2000−i2i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−i2−i2i2i2−ζ11−ζ25−ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11+ζ25+ζ41−ζ4300−2−2220000000000000
χ2333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−1−i32−1+i3211iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ4400000000001−1−i32−1+i32i−iζ28ζ44−ζ28−ζ44
χ2433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−1−i32−1+i3211−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ4400000000001−1−i32−1+i32−ii−ζ28−ζ44ζ28ζ44
χ2533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-11+i321−i32-1-1111111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32
χ2633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-11+i321−i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i320000000000-11+i321−i32-1-11−i321+i321−i321+i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−1−i32−1+i3211iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ440000000000-11+i321−i32−ii−ζ28−ζ44ζ28ζ44
χ2833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−1−i32−1+i3211−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ440000000000-11+i321−i32i−iζ28ζ44−ζ28−ζ44
χ2933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-11+i321−i32-1-1111111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000001−1−i32−1+i32-1-11−i321+i321−i321+i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-11+i321−i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32
χ3133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−1+i32−1−i3211iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ2800000000001−1+i32−1−i32i−iζ44ζ28−ζ44−ζ28
χ3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−1+i32−1−i3211−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ2800000000001−1+i32−1−i32−ii−ζ44−ζ28ζ44ζ28
χ3333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-11−i321+i32-1-1111111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32
χ3433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-11−i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000000000-11−i321+i32-1-11+i321−i321+i321−i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−1+i32−1−i3211iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ280000000000-11−i321+i32−ii−ζ44−ζ28ζ44ζ28
χ3633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−1+i32−1−i3211−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ280000000000-11−i321+i32i−iζ44ζ28−ζ44−ζ28
χ3733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-11−i321+i32-1-1111111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000001−1+i32−1−i32-1-11+i321−i321+i321−i32
χ3833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-11−i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32
χ394444444444444444440000001-21-20000000000000000000000000000000001-21-21-211-2-2000000000
χ40444444444444444444000000-21-21000000000000000000000000000000000-21-21-21-2-211000000000
χ41444444444444444-4-4-40000001-21-20000000000000000000000000000000001-21-21-2-1-122000000000
χ42444444444444444-4-4-4000000-21-21000000000000000000000000000000000-21-21-2122-1-1000000000
χ434444444-4-444-4-4-4-40000000001-21-20000000000000000000000000000000001-2-12-123-300000000000
χ444444444-4-444-4-4-4-40000000001-21-20000000000000000000000000000000001-2-12-12-3300000000000
χ454444444-4-444-4-4-4-4000000000-21-21000000000000000000000000000000000-212-12-1003-3000000000
χ464444444-4-444-4-4-4-4000000000-21-21000000000000000000000000000000000-212-12-100-33000000000
χ4766−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i300022−1−i3−1+i3−1−i3−1+i300002−1−i3−1+i3-2-2000000001+i31−i31+i31−i300000000000000000000000000000000000
χ4866−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3000-2-21+i31−i31+i31−i30000-21+i31−i32200000000−1−i3−1+i3−1−i3−1+i300000000000000000000000000000000000
χ4966−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000022−1−i3−1+i3−1−i3−1+i30000-21+i31−i300−i2−i2i2i2i2i2−i2−i20000ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ260000000000000000000
χ5066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000022−1−i3−1+i3−1−i3−1+i30000-21+i31−i300i2i2−i2−i2−i2−i2i2i20000−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ260000000000000000000
χ5166−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i30000000-2-21+i31−i31+i31−i300002−1−i3−1+i30022−2−222−2−20000ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ260000000000000000000
χ5266−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i30000000-2-21+i31−i31+i31−i300002−1−i3−1+i300−2−222−2−2220000−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ260000000000000000000
χ5366−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i300022−1+i3−1−i3−1+i3−1−i300002−1+i3−1−i3-2-2000000001−i31+i31−i31+i300000000000000000000000000000000000
χ5466−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3000-2-21−i31+i31−i31+i30000-21−i31+i32200000000−1+i3−1−i3−1+i3−1−i300000000000000000000000000000000000
χ5566−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000022−1+i3−1−i3−1+i3−1−i30000-21−i31+i300−i2−i2i2i2i2i2−i2−i20000ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ460000000000000000000
χ5666−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000022−1+i3−1−i3−1+i3−1−i30000-21−i31+i300i2i2−i2−i2−i2−i2i2i20000−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46−ζ14−ζ26−ζ10−ζ460000000000000000000
χ5766−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i30000000-2-21−i31+i31−i31+i300002−1+i3−1−i30022−2−222−2−20000−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ460000000000000000000
χ5866−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i30000000-2-21−i31+i31−i31+i300002−1+i3−1−i300−2−222−2−2220000ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ460000000000000000000
χ596-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ460002i−2i2ζ442ζ28−2ζ44−2ζ280000000−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46ζ13−ζ31ζ29−ζ47−ζ13+ζ31−ζ29+ζ47−ζ25−ζ43−ζ11−ζ41ζ25+ζ43ζ11+ζ41ζ25−ζ43−ζ11+ζ41−ζ25+ζ43ζ11−ζ41ζ13+ζ31ζ29+ζ47−ζ13−ζ31−ζ29−ζ470000000000000000000
χ606-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ460002i−2i2ζ442ζ28−2ζ44−2ζ280000000−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46−ζ13+ζ31−ζ29+ζ47ζ13−ζ31ζ29−ζ47ζ25+ζ43ζ11+ζ41−ζ25−ζ43−ζ11−ζ41−ζ25+ζ43ζ11−ζ41ζ25−ζ43−ζ11+ζ41−ζ13−ζ31−ζ29−ζ47ζ13+ζ31ζ29+ζ470000000000000000000
χ616-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ46000−2i2i−2ζ44−2ζ282ζ442ζ280000000i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46ζ25−ζ43−ζ11+ζ41−ζ25+ζ43ζ11−ζ41ζ13+ζ31ζ29+ζ47−ζ13−ζ31−ζ29−ζ47ζ13−ζ31ζ29−ζ47−ζ13+ζ31−ζ29+ζ47−ζ25−ζ43−ζ11−ζ41ζ25+ζ43ζ11+ζ410000000000000000000
χ626-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ46000−2i2i−2ζ44−2ζ282ζ442ζ280000000i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46−ζ25+ζ43ζ11−ζ41ζ25−ζ43−ζ11+ζ41−ζ13−ζ31−ζ29−ζ47ζ13+ζ31ζ29+ζ47−ζ13+ζ31−ζ29+ζ47ζ13−ζ31ζ29−ζ47ζ25+ζ43ζ11+ζ41−ζ25−ζ43−ζ11−ζ410000000000000000000
χ636-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ460002i−2i2ζ442ζ28−2ζ44−2ζ280000000i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46−ζ25−ζ43−ζ11−ζ41ζ25+ζ43ζ11+ζ41−ζ13+ζ31−ζ29+ζ47ζ13−ζ31ζ29−ζ47ζ13+ζ31ζ29+ζ47−ζ13−ζ31−ζ29−ζ47−ζ25+ζ43ζ11−ζ41ζ25−ζ43−ζ11+ζ410000000000000000000
χ646-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ460002i−2i2ζ442ζ28−2ζ44−2ζ280000000i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ14−ζ26−ζ10−ζ46ζ14+ζ26ζ10+ζ46ζ25+ζ43ζ11+ζ41−ζ25−ζ43−ζ11−ζ41ζ13−ζ31ζ29−ζ47−ζ13+ζ31−ζ29+ζ47−ζ13−ζ31−ζ29−ζ47ζ13+ζ31ζ29+ζ47ζ25−ζ43−ζ11+ζ41−ζ25+ζ43ζ11−ζ410000000000000000000
χ656-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ46000−2i2i−2ζ44−2ζ282ζ442ζ280000000−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46ζ13+ζ31ζ29+ζ47−ζ13−ζ31−ζ29−ζ47−ζ25+ζ43ζ11−ζ41ζ25−ζ43−ζ11+ζ41−ζ25−ζ43−ζ11−ζ41ζ25+ζ43ζ11+ζ41−ζ13+ζ31−ζ29+ζ47ζ13−ζ31ζ29−ζ470000000000000000000
χ666-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ46000−2i2i−2ζ44−2ζ282ζ442ζ280000000−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46−ζ13−ζ31−ζ29−ζ47ζ13+ζ31ζ29+ζ47ζ25−ζ43−ζ11+ζ41−ζ25+ζ43ζ11−ζ41ζ25+ζ43ζ11+ζ41−ζ25−ζ43−ζ11−ζ41ζ13−ζ31ζ29−ζ47−ζ13+ζ31−ζ29+ζ470000000000000000000
χ676-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ260002i−2i2ζ282ζ44−2ζ28−2ζ440000000−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26ζ29−ζ47ζ13−ζ31−ζ29+ζ47−ζ13+ζ31−ζ11−ζ41−ζ25−ζ43ζ11+ζ41ζ25+ζ43−ζ11+ζ41ζ25−ζ43ζ11−ζ41−ζ25+ζ43ζ29+ζ47ζ13+ζ31−ζ29−ζ47−ζ13−ζ310000000000000000000
χ686-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ260002i−2i2ζ282ζ44−2ζ28−2ζ440000000−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ29+ζ47−ζ13+ζ31ζ29−ζ47ζ13−ζ31ζ11+ζ41ζ25+ζ43−ζ11−ζ41−ζ25−ζ43ζ11−ζ41−ζ25+ζ43−ζ11+ζ41ζ25−ζ43−ζ29−ζ47−ζ13−ζ31ζ29+ζ47ζ13+ζ310000000000000000000
χ696-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ26000−2i2i−2ζ28−2ζ442ζ282ζ440000000i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26−ζ11+ζ41ζ25−ζ43ζ11−ζ41−ζ25+ζ43ζ29+ζ47ζ13+ζ31−ζ29−ζ47−ζ13−ζ31ζ29−ζ47ζ13−ζ31−ζ29+ζ47−ζ13+ζ31−ζ11−ζ41−ζ25−ζ43ζ11+ζ41ζ25+ζ430000000000000000000
χ706-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ26000−2i2i−2ζ28−2ζ442ζ282ζ440000000i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ11−ζ41−ζ25+ζ43−ζ11+ζ41ζ25−ζ43−ζ29−ζ47−ζ13−ζ31ζ29+ζ47ζ13+ζ31−ζ29+ζ47−ζ13+ζ31ζ29−ζ47ζ13−ζ31ζ11+ζ41ζ25+ζ43−ζ11−ζ41−ζ25−ζ430000000000000000000
χ716-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ260002i−2i2ζ282ζ44−2ζ28−2ζ440000000i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26−ζ11−ζ41−ζ25−ζ43ζ11+ζ41ζ25+ζ43−ζ29+ζ47−ζ13+ζ31ζ29−ζ47ζ13−ζ31ζ29+ζ47ζ13+ζ31−ζ29−ζ47−ζ13−ζ31ζ11−ζ41−ζ25+ζ43−ζ11+ζ41ζ25−ζ430000000000000000000
χ726-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ260002i−2i2ζ282ζ44−2ζ28−2ζ440000000i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ11+ζ41ζ25+ζ43−ζ11−ζ41−ζ25−ζ43ζ29−ζ47ζ13−ζ31−ζ29+ζ47−ζ13+ζ31−ζ29−ζ47−ζ13−ζ31ζ29+ζ47ζ13+ζ31−ζ11+ζ41ζ25−ζ43ζ11−ζ41−ζ25+ζ430000000000000000000
χ736-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ26000−2i2i−2ζ28−2ζ442ζ282ζ440000000−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26ζ29+ζ47ζ13+ζ31−ζ29−ζ47−ζ13−ζ31ζ11−ζ41−ζ25+ζ43−ζ11+ζ41ζ25−ζ43−ζ11−ζ41−ζ25−ζ43ζ11+ζ41ζ25+ζ43−ζ29+ζ47−ζ13+ζ31ζ29−ζ47ζ13−ζ310000000000000000000
χ746-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ26000−2i2i−2ζ28−2ζ442ζ282ζ440000000−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ29−ζ47−ζ13−ζ31ζ29+ζ47ζ13+ζ31−ζ11+ζ41ζ25−ζ43ζ11−ζ41−ζ25+ζ43ζ11+ζ41ζ25+ζ43−ζ11−ζ41−ζ25−ζ43ζ29−ζ47ζ13−ζ31−ζ29+ζ47−ζ13+ζ310000000000000000000
χ75888888-800-8-800000000000002-42-4000000000000000000000000000000000-2400000000000000000
χ76888888-800-8-80000000000000-42-420000000000000000000000000000000004-200000000000000000
χ778-888-8-8042−42004242−42−420000000002-4-24000000000000000000000000000000000002−22−2220000000000000
χ788-888-8-8042−42004242−42−42000000000-424-200000000000000000000000000000000000−22222−20000000000000
χ798-888-8-80−424200−42−4242420000000002-4-2400000000000000000000000000000000000−2222−220000000000000
χ808-888-8-80−424200−42−424242000000000-424-20000000000000000000000000000000000022−2−2220000000000000

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