Finite Group Databasebeta

← Group #11772874

Character table — Group #11772874

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222244488888888888161616161648484848112222244488888888888161616161648484848112222244488888888888161616161648484848
order122366641212224881212242424244661212444436636661212126612242412122424242412661212121212123663666121212661224241212242424241266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111111111-1-111-1-1-1-1-111-1-111-1-11111111111111-1-111-1-1-1-1-111-1-111-1-11111111111111-1-111-1-1-1-1-111-1-111-1-1
χ41111111111111-1-111-1-1-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-111-1-1-1-111
χ51111111111-1-1111111111-1-1-1-1-1i−ii−i1111111111-1-1111111111-1-1-1-1-1i−ii−i1111111111-1-1111111111-1-1-1-1-1i−ii−i
χ61111111111-1-1111111111-1-1-1-1-1−ii−ii1111111111-1-1111111111-1-1-1-1-1−ii−ii1111111111-1-1111111111-1-1-1-1-1−ii−ii
χ71111111111-1-11-1-111-1-1-1-11-1-111i−i−ii1111111111-1-11-1-111-1-1-1-11-1-111i−i−ii1111111111-1-11-1-111-1-1-1-11-1-111i−i−ii
χ81111111111-1-11-1-111-1-1-1-11-1-111−iii−i1111111111-1-11-1-111-1-1-1-11-1-111−iii−i1111111111-1-11-1-111-1-1-1-11-1-111−iii−i
χ922222222222-2-200-2-2000002-200000022222222222-2-200-2-2000002-200000022222222222-2-200-2-2000002-2000000
χ102222222222-22-200-2-200000-220000002222222222-22-200-2-200000-220000002222222222-22-200-2-200000-22000000
χ11222-1-1-1-12-1-122222-1-1-1-1-1-12-1-1-1-10000222-1-1-1-12-1-122222-1-1-1-1-1-12-1-1-1-10000222-1-1-1-12-1-122222-1-1-1-1-1-12-1-1-1-10000
χ12222-1-1-1-12-1-1222-2-2-1-11111-2-1-1110000222-1-1-1-12-1-1222-2-2-1-11111-2-1-1110000222-1-1-1-12-1-1222-2-2-1-11111-2-1-1110000
χ13222-1-1-1-12-1-12-2-20011−i3−i3i3i30-11−i3i30000222-1-1-1-12-1-12-2-20011−i3−i3i3i30-11−i3i30000222-1-1-1-12-1-12-2-20011−i3−i3i3i30-11−i3i30000
χ14222-1-1-1-12-1-12-2-20011i3i3−i3−i30-11i3−i30000222-1-1-1-12-1-12-2-20011i3i3−i3−i30-11i3−i30000222-1-1-1-12-1-12-2-20011i3i3−i3−i30-11i3−i30000
χ15222-1-1-1-12-1-1-22-20011−i3−i3i3i301-1i3−i30000222-1-1-1-12-1-1-22-20011−i3−i3i3i301-1i3−i30000222-1-1-1-12-1-1-22-20011−i3−i3i3i301-1i3−i30000
χ16222-1-1-1-12-1-1-22-20011i3i3−i3−i301-1−i3i30000222-1-1-1-12-1-1-22-20011i3i3−i3−i301-1−i3i30000222-1-1-1-12-1-1-22-20011i3i3−i3−i301-1−i3i30000
χ17222-1-1-1-12-1-1-2-2222-1-1-1-1-1-1-211110000222-1-1-1-12-1-1-2-2222-1-1-1-1-1-1-211110000222-1-1-1-12-1-1-2-2222-1-1-1-1-1-1-211110000
χ18222-1-1-1-12-1-1-2-22-2-2-1-11111211-1-10000222-1-1-1-12-1-1-2-22-2-2-1-11111211-1-10000222-1-1-1-12-1-1-2-22-2-2-1-11111211-1-10000
χ194444444-4-4-4000000000000000000004444444-4-4-4000000000000000000004444444-4-4-400000000000000000000
χ20444-2-2-2-2-42200000−2i32i30000000000000444-2-2-2-2-42200000−2i32i30000000000000444-2-2-2-2-42200000−2i32i30000000000000
χ21444-2-2-2-2-422000002i3−2i30000000000000444-2-2-2-2-422000002i3−2i30000000000000444-2-2-2-2-422000002i3−2i30000000000000
χ2244-444-4-40000002i−2i002i−2i2i−2i00000000044-444-4-40000002i−2i002i−2i2i−2i00000000044-444-4-40000002i−2i002i−2i2i−2i000000000
χ2344-444-4-4000000−2i2i00−2i2i−2i2i00000000044-444-4-4000000−2i2i00−2i2i−2i2i00000000044-444-4-4000000−2i2i00−2i2i−2i2i000000000
χ2444-4-2-2220−2i32i30002i−2i002ζ7−2ζ72ζ11−2ζ1100000000044-4-2-2220−2i32i30002i−2i002ζ7−2ζ72ζ11−2ζ1100000000044-4-2-2220−2i32i30002i−2i002ζ7−2ζ72ζ11−2ζ11000000000
χ2544-4-2-2220−2i32i3000−2i2i00−2ζ72ζ7−2ζ112ζ1100000000044-4-2-2220−2i32i3000−2i2i00−2ζ72ζ7−2ζ112ζ1100000000044-4-2-2220−2i32i3000−2i2i00−2ζ72ζ7−2ζ112ζ11000000000
χ2644-4-2-22202i3−2i30002i−2i002ζ11−2ζ112ζ7−2ζ700000000044-4-2-22202i3−2i30002i−2i002ζ11−2ζ112ζ7−2ζ700000000044-4-2-22202i3−2i30002i−2i002ζ11−2ζ112ζ7−2ζ7000000000
χ2744-4-2-22202i3−2i3000−2i2i00−2ζ112ζ11−2ζ72ζ700000000044-4-2-22202i3−2i3000−2i2i00−2ζ112ζ11−2ζ72ζ700000000044-4-2-22202i3−2i3000−2i2i00−2ζ112ζ11−2ζ72ζ7000000000
χ288-808-800000000000000000000000008-808-800000000000000000000000008-808-80000000000000000000000000
χ298-80-44−4i34i3000000000000000000000008-80-44−4i34i3000000000000000000000008-80-44−4i34i300000000000000000000000
χ308-80-444i3−4i3000000000000000000000008-80-444i3−4i3000000000000000000000008-80-444i3−4i300000000000000000000000
χ31111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111111111-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ331111111111111-1-111-1-1-1-1-111-1-111-1-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111111111-1-111-1-1-1-1-111-1-1-1-111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ351111111111-1-1111111111-1-1-1-1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32ζ11−ζ11ζ11−ζ11
χ361111111111-1-1111111111-1-1-1-1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−ζ11ζ11−ζ11ζ11
χ371111111111-1-11-1-111-1-1-1-11-1-111i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11
χ381111111111-1-11-1-111-1-1-1-11-1-111−iii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11
χ3922222222222-2-200-2-2000002-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i300000−1+i31−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i300000−1−i31+i3000000
χ402222222222-22-200-2-200000-22000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3001−i31−i3000001−i3−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3001+i31+i3000001+i3−1−i3000000
χ41222-1-1-1-12-1-122222-1-1-1-1-1-12-1-1-1-10000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i320000
χ42222-1-1-1-12-1-1222-2-2-1-11111-2-1-1110000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i320000
χ43222-1-1-1-12-1-12-2-20011−i3−i3i3i30-11−i3i30000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i300−1+i32−1+i323+i323+i32−3−i32−3−i3201−i32−1+i323+i32−3−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i300−1−i32−1−i32−3+i32−3+i323−i323−i3201+i32−1−i32−3+i323−i320000
χ44222-1-1-1-12-1-12-2-20011i3i3−i3−i30-11i3−i30000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i300−1+i32−1+i32−3−i32−3−i323+i323+i3201−i32−1+i32−3−i323+i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i300−1−i32−1−i323−i323−i32−3+i32−3+i3201+i32−1−i323−i32−3+i320000
χ45222-1-1-1-12-1-1-22-20011−i3−i3i3i301-1i3−i30000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i3−1+i31−i300−1+i32−1+i323+i323+i32−3−i32−3−i320−1+i321−i32−3−i323+i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i3−1−i31+i300−1−i32−1−i32−3+i32−3+i323−i323−i320−1−i321+i323−i32−3+i320000
χ46222-1-1-1-12-1-1-22-20011i3i3−i3−i301-1−i3i30000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i3−1+i31−i300−1+i32−1+i32−3−i32−3−i323+i323+i320−1+i321−i323+i32−3−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i3−1−i31+i300−1−i32−1−i323−i323−i32−3+i32−3+i320−1−i321+i32−3+i323−i320000
χ47222-1-1-1-12-1-1-2-2222-1-1-1-1-1-1-211110000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i320000
χ48222-1-1-1-12-1-1-2-22-2-2-1-11111211-1-10000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i32−1−i321+i321+i320000
χ494444444-4-4-400000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i300000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i300000000000000000000
χ50444-2-2-2-2-42200000−2i32i30000000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i32−2i3−1+i3−1+i3000003+i3−3−i30000000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i32+2i3−1−i3−1−i300000−3+i33−i30000000000000
χ51444-2-2-2-2-422000002i3−2i30000000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i32−2i3−1+i3−1+i300000−3−i33+i30000000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i32+2i3−1−i3−1−i3000003−i3−3+i30000000000000
χ5244-444-4-40000002i−2i002i−2i2i−2i000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i30000002ζ7−2ζ7002ζ7−2ζ72ζ7−2ζ7000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i30000002ζ11−2ζ11002ζ11−2ζ112ζ11−2ζ11000000000
χ5344-444-4-4000000−2i2i00−2i2i−2i2i000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3000000−2ζ72ζ700−2ζ72ζ7−2ζ72ζ7000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3000000−2ζ112ζ1100−2ζ112ζ11−2ζ112ζ11000000000
χ5444-4-2-2220−2i32i30002i−2i002ζ7−2ζ72ζ11−2ζ11000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i303+i3−3−i30002ζ7−2ζ7002ζ11−2ζ112i−2i000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i30−3+i33−i30002ζ11−2ζ11002i−2i2ζ7−2ζ7000000000
χ5544-4-2-2220−2i32i3000−2i2i00−2ζ72ζ7−2ζ112ζ11000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i303+i3−3−i3000−2ζ72ζ700−2ζ112ζ11−2i2i000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i30−3+i33−i3000−2ζ112ζ1100−2i2i−2ζ72ζ7000000000
χ5644-4-2-22202i3−2i30002i−2i002ζ11−2ζ112ζ7−2ζ7000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i30−3−i33+i30002ζ7−2ζ7002i−2i2ζ11−2ζ11000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i303−i3−3+i30002ζ11−2ζ11002ζ7−2ζ72i−2i000000000
χ5744-4-2-22202i3−2i3000−2i2i00−2ζ112ζ11−2ζ72ζ7000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i30−3−i33+i3000−2ζ72ζ700−2i2i−2ζ112ζ11000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i303−i3−3+i3000−2ζ112ζ1100−2ζ72ζ7−2i2i000000000
χ588-808-80000000000000000000000000−4+4i34−4i30−4+4i34−4i30000000000000000000000000−4−4i34+4i30−4−4i34+4i30000000000000000000000000
χ598-80-44−4i34i300000000000000000000000−4+4i34−4i302−2i3−2+2i36+2i3−6−2i300000000000000000000000−4−4i34+4i302+2i3−2−2i3−6+2i36−2i300000000000000000000000
χ608-80-444i3−4i300000000000000000000000−4+4i34−4i302−2i3−2+2i3−6−2i36+2i300000000000000000000000−4−4i34+4i302+2i3−2−2i36−2i3−6+2i300000000000000000000000
χ61111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111111111-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ631111111111111-1-111-1-1-1-1-111-1-111-1-1−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ641111111111111-1-111-1-1-1-1-111-1-1-1-111−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ651111111111-1-1111111111-1-1-1-1-1i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32ζ7−ζ7ζ7−ζ7
χ661111111111-1-1111111111-1-1-1-1-1−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−ζ7ζ7−ζ7ζ7
χ671111111111-1-11-1-111-1-1-1-11-1-111i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7
χ681111111111-1-11-1-111-1-1-1-11-1-111−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ6922222222222-2-200-2-2000002-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i300000−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i300000−1+i31−i3000000
χ702222222222-22-200-2-200000-22000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3001+i31+i3000001+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3001−i31−i3000001−i3−1+i3000000
χ71222-1-1-1-12-1-122222-1-1-1-1-1-12-1-1-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i320000
χ72222-1-1-1-12-1-1222-2-2-1-11111-2-1-1110000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i320000
χ73222-1-1-1-12-1-12-2-20011−i3−i3i3i30-11−i3i30000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i300−1−i32−1−i32−3+i32−3+i323−i323−i3201+i32−1−i32−3+i323−i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i300−1+i32−1+i323+i323+i32−3−i32−3−i3201−i32−1+i323+i32−3−i320000
χ74222-1-1-1-12-1-12-2-20011i3i3−i3−i30-11i3−i30000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i300−1−i32−1−i323−i323−i32−3+i32−3+i3201+i32−1−i323−i32−3+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i300−1+i32−1+i32−3−i32−3−i323+i323+i3201−i32−1+i32−3−i323+i320000
χ75222-1-1-1-12-1-1-22-20011−i3−i3i3i301-1i3−i30000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i3−1−i31+i300−1−i32−1−i32−3+i32−3+i323−i323−i320−1−i321+i323−i32−3+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i3−1+i31−i300−1+i32−1+i323+i323+i32−3−i32−3−i320−1+i321−i32−3−i323+i320000
χ76222-1-1-1-12-1-1-22-20011i3i3−i3−i301-1−i3i30000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i3−1−i31+i300−1−i32−1−i323−i323−i32−3+i32−3+i320−1−i321+i32−3+i323−i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i3−1+i31−i300−1+i32−1+i32−3−i32−3−i323+i323+i320−1+i321−i323+i32−3−i320000
χ77222-1-1-1-12-1-1-2-2222-1-1-1-1-1-1-211110000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i320000
χ78222-1-1-1-12-1-1-2-22-2-2-1-11111211-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i32−1+i321−i321−i320000
χ794444444-4-4-400000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i300000000000000000000
χ80444-2-2-2-2-42200000−2i32i30000000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i32+2i3−1−i3−1−i300000−3+i33−i30000000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i32−2i3−1+i3−1+i3000003+i3−3−i30000000000000
χ81444-2-2-2-2-422000002i3−2i30000000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i32+2i3−1−i3−1−i3000003−i3−3+i30000000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i32−2i3−1+i3−1+i300000−3−i33+i30000000000000
χ8244-444-4-40000002i−2i002i−2i2i−2i000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i30000002ζ11−2ζ11002ζ11−2ζ112ζ11−2ζ11000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i30000002ζ7−2ζ7002ζ7−2ζ72ζ7−2ζ7000000000
χ8344-444-4-4000000−2i2i00−2i2i−2i2i000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3000000−2ζ112ζ1100−2ζ112ζ11−2ζ112ζ11000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3000000−2ζ72ζ700−2ζ72ζ7−2ζ72ζ7000000000
χ8444-4-2-2220−2i32i30002i−2i002ζ7−2ζ72ζ11−2ζ11000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i30−3+i33−i30002ζ11−2ζ11002i−2i2ζ7−2ζ7000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i303+i3−3−i30002ζ7−2ζ7002ζ11−2ζ112i−2i000000000
χ8544-4-2-2220−2i32i3000−2i2i00−2ζ72ζ7−2ζ112ζ11000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i30−3+i33−i3000−2ζ112ζ1100−2i2i−2ζ72ζ7000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i303+i3−3−i3000−2ζ72ζ700−2ζ112ζ11−2i2i000000000
χ8644-4-2-22202i3−2i30002i−2i002ζ11−2ζ112ζ7−2ζ7000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i303−i3−3+i30002ζ11−2ζ11002ζ7−2ζ72i−2i000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i30−3−i33+i30002ζ7−2ζ7002i−2i2ζ11−2ζ11000000000
χ8744-4-2-22202i3−2i3000−2i2i00−2ζ112ζ11−2ζ72ζ7000000000−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i303−i3−3+i3000−2ζ112ζ1100−2ζ72ζ7−2i2i000000000−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i30−3−i33+i3000−2ζ72ζ700−2i2i−2ζ112ζ11000000000
χ888-808-80000000000000000000000000−4−4i34+4i30−4−4i34+4i30000000000000000000000000−4+4i34−4i30−4+4i34−4i30000000000000000000000000
χ898-80-44−4i34i300000000000000000000000−4−4i34+4i302+2i3−2−2i3−6+2i36−2i300000000000000000000000−4+4i34−4i302−2i3−2+2i36+2i3−6−2i300000000000000000000000
χ908-80-444i3−4i300000000000000000000000−4−4i34+4i302+2i3−2−2i36−2i3−6+2i300000000000000000000000−4+4i34−4i302−2i3−2+2i3−6−2i36+2i300000000000000000000000

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