Finite Group Databasebeta

← Group #11920760

Character table — Group #11920760

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112333333666666624242424242424243232323211233333366666662424242424242424323232321123333336666666242424242424242432323232
order124224444444444422448888361212361266121212121212121212121266121224242424361212361266121212121212121212121266121224242424361212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ311-1111111-1-1-1-1-1111-11-111-1-111-1-111-1111111-1-1-1-1-1111-11-111-1-111-1-111-1111111-1-1-1-1-1111-11-111-1-111-1-1
χ411-1111111-1-1-1-1-111-11-11-1-11111-1-111-1111111-1-1-1-1-111-11-11-1-11111-1-111-1111111-1-1-1-1-111-11-11-1-11111-1-1
χ5222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1
χ622-2222222-2-2-2-2-22200000000-1-11122-2222222-2-2-2-2-22200000000-1-11122-2222222-2-2-2-2-22200000000-1-111
χ72-20-22-2-222000002-2000000002-2002-20-22-2-222000002-2000000002-2002-20-22-2-222000002-2000000002-200
χ82-20-22-2-222000002-200000000-113−32-20-22-2-222000002-200000000-113−32-20-22-2-222000002-200000000-113−3
χ92-20-22-2-222000002-200000000-11−332-20-22-2-222000002-200000000-11−332-20-22-2-222000002-200000000-11−33
χ1033333-1-1-1-13-1-1-1-1-1-11111-1-1-1-1000033333-1-1-1-13-1-1-1-1-1-11111-1-1-1-1000033333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10000
χ1133333-1-1-1-13-1-1-1-1-1-1-1-1-1-11111000033333-1-1-1-13-1-1-1-1-1-1-1-1-1-11111000033333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110000
χ12333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i1111-1-1i−ii−i0000333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i1111-1-1i−ii−i0000333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i1111-1-1i−ii−i0000
χ13333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-1-111−ii−ii0000333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-1-111−ii−ii0000333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-1-111−ii−ii0000
χ14333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i1111-1-1−ii−ii0000333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i1111-1-1−ii−ii0000333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i1111-1-1−ii−ii0000
χ15333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-1-111i−ii−i0000333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-1-111i−ii−i0000333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-1-111i−ii−i0000
χ1633-333-1-1-1-1-31111-1-11-11-1-1-111000033-333-1-1-1-1-31111-1-11-11-1-1-111000033-333-1-1-1-1-31111-1-11-11-1-1-1110000
χ1733-333-1-1-1-1-31111-1-1-11-1111-1-1000033-333-1-1-1-1-31111-1-1-11-1111-1-1000033-333-1-1-1-1-31111-1-1-11-1111-1-10000
χ1833-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i111-1-11i−i−ii000033-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i111-1-11i−i−ii000033-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i111-1-11i−i−ii0000
χ1933-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i11-111-1−iii−i000033-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i11-111-1−iii−i000033-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i11-111-1−iii−i0000
χ2033-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i111-1-11−iii−i000033-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i111-1-11−iii−i000033-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i111-1-11−iii−i0000
χ2133-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i11-111-1i−i−ii000033-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i11-111-1i−i−ii000033-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i11-111-1i−i−ii0000
χ22666-2-22222-2-2-222-2-2000000000000666-2-22222-2-2-222-2-2000000000000666-2-22222-2-2-222-2-2000000000000
χ2366-6-2-22222222-2-2-2-200000000000066-6-2-22222222-2-2-2-200000000000066-6-2-22222222-2-2-2-2000000000000
χ246-602-2-2-22204-400-220000000000006-602-2-2-22204-400-220000000000006-602-2-2-22204-400-22000000000000
χ256-602-2-2-2220-4400-220000000000006-602-2-2-2220-4400-220000000000006-602-2-2-2220-4400-22000000000000
χ266-602-22+4i2−4i−2−4i−2+4i000002-20000000000006-602-22+4i2−4i−2−4i−2+4i000002-20000000000006-602-22+4i2−4i−2−4i−2+4i000002-2000000000000
χ276-602-22−4i2+4i−2+4i−2−4i000002-20000000000006-602-22−4i2+4i−2+4i−2−4i000002-20000000000006-602-22−4i2+4i−2+4i−2−4i000002-2000000000000
χ286-60-6622-2-200000-220000000000006-60-6622-2-200000-220000000000006-60-6622-2-200000-22000000000000
χ291111111111111111111111111111−1+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+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ301111111111111111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3111-1111111-1-1-1-1-1111-11-111-1-111-1-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3211-1111111-1-1-1-1-111-11-11-1-11111-1-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ33222222222222222200000000-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32
χ3422-2222222-2-2-2-2-22200000000-1-111−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3000000001−i321−i32−1+i32−1+i32−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3000000001+i321+i32−1−i32−1−i32
χ352-20-22-2-222000002-2000000002-200−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i300000000−1+i31−i300−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i300000000−1−i31+i300
χ362-20-22-2-222000002-200000000-113−3−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i3000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i3000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ11
χ372-20-22-2-222000002-200000000-11−33−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i3000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i3000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ11
χ3833333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ3933333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ40333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i1111-1-1i−ii−i0000−3+3i32−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ101−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ70000−3−3i32−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ111+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ110000
χ41333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-1-111−ii−ii0000−3+3i32−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ101−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ70000−3−3i32−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ111+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ110000
χ42333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i1111-1-1−ii−ii0000−3+3i32−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ101−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ70000−3−3i32−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ111+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ110000
χ43333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-1-111i−ii−i0000−3+3i32−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ101−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ70000−3−3i32−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ111+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ110000
χ4433-333-1-1-1-1-31111-1-11-11-1-1-1110000−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000
χ4533-333-1-1-1-1-31111-1-1-11-1111-1-10000−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i320000−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i320000
χ4633-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i111-1-11i−i−ii0000−3+3i32−3+3i323−3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ10−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ10−1+i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ70000−3−3i32−3−3i323+3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ11−1−i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ110000
χ4733-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i11-111-1−iii−i0000−3+3i32−3+3i323−3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ10−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ10−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000−3−3i32−3−3i323+3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ11−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000
χ4833-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i111-1-11−iii−i0000−3+3i32−3+3i323−3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ10−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ70000−3−3i32−3−3i323+3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ11−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ110000
χ4933-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i11-111-1i−i−ii0000−3+3i32−3+3i323−3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ10−1+i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000−3−3i32−3−3i323+3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ11−1−i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000
χ50666-2-22222-2-2-222-2-2000000000000−3+3i3−3+3i3−3+3i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000000−3−3i3−3−3i3−3−3i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000000
χ5166-6-2-22222222-2-2-2-2000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000
χ526-602-2-2-22204-400-22000000000000−3+3i33−3i30−1+i31−i31−i31−i3−1+i3−1+i30−2+2i32−2i3001−i3−1+i3000000000000−3−3i33+3i30−1−i31+i31+i31+i3−1−i3−1−i30−2−2i32+2i3001+i3−1−i3000000000000
χ536-602-2-2-2220-4400-22000000000000−3+3i33−3i30−1+i31−i31−i31−i3−1+i3−1+i302−2i3−2+2i3001−i3−1+i3000000000000−3−3i33+3i30−1−i31+i31+i31+i3−1−i3−1−i302+2i3−2−2i3001+i3−1−i3000000000000
χ546-602-22+4i2−4i−2−4i−2+4i000002-2000000000000−3+3i33−3i30−1+i31−i34ζ7−2ζ10−4ζ7−2ζ10−4ζ7+2ζ104ζ7+2ζ1000000−1+i31−i3000000000000−3−3i33+3i30−1−i31+i3−2ζ2+4ζ11−2ζ2−4ζ112ζ2−4ζ112ζ2+4ζ1100000−1−i31+i3000000000000
χ556-602-22−4i2+4i−2+4i−2−4i000002-2000000000000−3+3i33−3i30−1+i31−i3−4ζ7−2ζ104ζ7−2ζ104ζ7+2ζ10−4ζ7+2ζ1000000−1+i31−i3000000000000−3−3i33+3i30−1−i31+i3−2ζ2−4ζ11−2ζ2+4ζ112ζ2+4ζ112ζ2−4ζ1100000−1−i31+i3000000000000
χ566-60-6622-2-200000-22000000000000−3+3i33−3i303−3i3−3+3i3−1+i3−1+i31−i31−i3000001−i3−1+i3000000000000−3−3i33+3i303+3i3−3−3i3−1−i3−1−i31+i31+i3000001+i3−1−i3000000000000
χ571111111111111111111111111111−1−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−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ581111111111111111-1-1-1-1-1-1-1-11111−1−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−i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ5911-1111111-1-1-1-1-1111-11-111-1-111-1-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ6011-1111111-1-1-1-1-111-11-11-1-11111-1-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ61222222222222222200000000-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i32
χ6222-2222222-2-2-2-2-22200000000-1-111−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3000000001+i321+i32−1−i32−1−i32−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3000000001−i321−i32−1+i32−1+i32
χ632-20-22-2-222000002-2000000002-200−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i300000000−1−i31+i300−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i300000000−1+i31−i300
χ642-20-22-2-222000002-200000000-113−3−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i3000000001+i32−1−i322ζ7+ζ11−2ζ7−ζ11−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i3000000001−i32−1+i32−ζ7−2ζ11ζ7+2ζ11
χ652-20-22-2-222000002-200000000-11−33−1−i31+i301+i3−1−i31+i31+i3−1−i3−1−i300000−1−i31+i3000000001+i32−1−i32−2ζ7−ζ112ζ7+ζ11−1+i31−i301−i3−1+i31−i31−i3−1+i3−1+i300000−1+i31−i3000000001−i32−1+i32ζ7+2ζ11−ζ7−2ζ11
χ6633333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ6733333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ68333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i1111-1-1i−ii−i0000−3−3i32−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ111+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ110000−3+3i32−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ101−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ70000
χ69333-1-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-1-111−ii−ii0000−3−3i32−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ111+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ110000−3+3i32−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ101−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ70000
χ70333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i1111-1-1−ii−ii0000−3−3i32−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ111+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ110000−3+3i32−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ101−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ70000
χ71333-1-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-1-111i−ii−i0000−3−3i32−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ111+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ110000−3+3i32−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ101−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ70000
χ7233-333-1-1-1-1-31111-1-11-11-1-1-1110000−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000
χ7333-333-1-1-1-1-31111-1-1-11-1111-1-10000−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i320000−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i320000
χ7433-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i111-1-11i−i−ii0000−3−3i32−3−3i323+3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ11−1−i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ110000−3+3i32−3+3i323−3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ10−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ10−1+i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ70000
χ7533-3-1-1−1+2i−1−2i−1+2i−1−2i1-1-11−2i1+2i11-111-1−iii−i0000−3−3i32−3−3i323+3i321+i321+i32ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ11−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000−3+3i32−3+3i323−3i321−i321−i322ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ10−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ10−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000
χ7633-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i111-1-11−iii−i0000−3−3i32−3−3i323+3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ11−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ110000−3+3i32−3+3i323−3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ10−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ70000
χ7733-3-1-1−1−2i−1+2i−1−2i−1+2i1-1-11+2i1−2i11-111-1i−i−ii0000−3−3i32−3−3i323+3i321+i321+i32ζ2−2ζ11ζ2+2ζ11ζ2−2ζ11ζ2+2ζ11−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ11−1−i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000−3+3i32−3+3i323−3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−2ζ7+ζ102ζ7+ζ10−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ10−1+i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000
χ78666-2-22222-2-2-222-2-2000000000000−3−3i3−3−3i3−3−3i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000000−3+3i3−3+3i3−3+3i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000000
χ7966-6-2-22222222-2-2-2-2000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000
χ806-602-2-2-22204-400-22000000000000−3−3i33+3i30−1−i31+i31+i31+i3−1−i3−1−i30−2−2i32+2i3001+i3−1−i3000000000000−3+3i33−3i30−1+i31−i31−i31−i3−1+i3−1+i30−2+2i32−2i3001−i3−1+i3000000000000
χ816-602-2-2-2220-4400-22000000000000−3−3i33+3i30−1−i31+i31+i31+i3−1−i3−1−i302+2i3−2−2i3001+i3−1−i3000000000000−3+3i33−3i30−1+i31−i31−i31−i3−1+i3−1+i302−2i3−2+2i3001−i3−1+i3000000000000
χ826-602-22+4i2−4i−2−4i−2+4i000002-2000000000000−3−3i33+3i30−1−i31+i3−2ζ2+4ζ11−2ζ2−4ζ112ζ2−4ζ112ζ2+4ζ1100000−1−i31+i3000000000000−3+3i33−3i30−1+i31−i34ζ7−2ζ10−4ζ7−2ζ10−4ζ7+2ζ104ζ7+2ζ1000000−1+i31−i3000000000000
χ836-602-22−4i2+4i−2+4i−2−4i000002-2000000000000−3−3i33+3i30−1−i31+i3−2ζ2−4ζ11−2ζ2+4ζ112ζ2+4ζ112ζ2−4ζ1100000−1−i31+i3000000000000−3+3i33−3i30−1+i31−i3−4ζ7−2ζ104ζ7−2ζ104ζ7+2ζ10−4ζ7+2ζ1000000−1+i31−i3000000000000
χ846-60-6622-2-200000-22000000000000−3−3i33+3i303+3i3−3−3i3−1−i3−1−i31+i31+i3000001+i3−1−i3000000000000−3+3i33−3i303−3i3−3+3i3−1+i3−1+i31−i31−i3000001−i3−1+i3000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.