Finite Group Databasebeta

← Group #64015

Character table — Group #64015

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222223333444444666666111122222222223333444444666666111122222222223333444444666666
order1222344444466644441212121212122244443666312121212121266612121212121212121212661212121236663121212121212666121212121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ31111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-1
χ41111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111
χ511111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-111
χ611111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-1
χ711111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-1
χ811111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111
χ91-11-11i−ii−i1-1-11-111-1-11-1i−ii−i1-1i−ii−i1-11-11i−ii−i1-1-11-111-1-11-1i−ii−i1-1i−ii−i1-11-11i−ii−i1-1-11-111-1-11-1i−ii−i1-1i−ii−i
χ101-11-11i−ii−i1-1-11-1-1-1111-1i−ii−i-11−ii−ii1-11-11i−ii−i1-1-11-1-1-1111-1i−ii−i-11−ii−ii1-11-11i−ii−i1-1-11-1-1-1111-1i−ii−i-11−ii−ii
χ111-11-11i−i−ii-11-11-111-1-1-11i−i−ii-11i−i−ii1-11-11i−i−ii-11-11-111-1-1-11i−i−ii-11i−i−ii1-11-11i−i−ii-11-11-111-1-1-11i−i−ii-11i−i−ii
χ121-11-11i−i−ii-11-11-1-1-111-11i−i−ii1-1−iii−i1-11-11i−i−ii-11-11-1-1-111-11i−i−ii1-1−iii−i1-11-11i−i−ii-11-11-1-1-111-11i−i−ii1-1−iii−i
χ131-11-11−iii−i-11-11-111-1-1-11−iii−i-11−iii−i1-11-11−iii−i-11-11-111-1-1-11−iii−i-11−iii−i1-11-11−iii−i-11-11-111-1-1-11−iii−i-11−iii−i
χ141-11-11−iii−i-11-11-1-1-111-11−iii−i1-1i−i−ii1-11-11−iii−i-11-11-1-1-111-11−iii−i1-1i−i−ii1-11-11−iii−i-11-11-1-1-111-11−iii−i1-1i−i−ii
χ151-11-11−ii−ii1-1-11-111-1-11-1−ii−ii1-1−ii−ii1-11-11−ii−ii1-1-11-111-1-11-1−ii−ii1-1−ii−ii1-11-11−ii−ii1-1-11-111-1-11-1−ii−ii1-1−ii−ii
χ161-11-11−ii−ii1-1-11-1-1-1111-1−ii−ii-11i−ii−i1-11-11−ii−ii1-1-11-1-1-1111-1−ii−ii-11i−ii−i1-11-11−ii−ii1-1-11-1-1-1111-1−ii−ii-11i−ii−i
χ172222-1222222-1-1-10000-1-1-1-1-1-10000002222-1222222-1-1-10000-1-1-1-1-1-10000002222-1222222-1-1-10000-1-1-1-1-1-1000000
χ182222-122-2-2-2-2-1-1-1000011-1-1110000002222-122-2-2-2-2-1-1-1000011-1-1110000002222-122-2-2-2-2-1-1-1000011-1-111000000
χ192222-1-2-222-2-2-1-1-100001111-1-10000002222-1-2-222-2-2-1-1-100001111-1-10000002222-1-2-222-2-2-1-1-100001111-1-1000000
χ202222-1-2-2-2-222-1-1-10000-1-111110000002222-1-2-2-2-222-1-1-10000-1-111110000002222-1-2-2-2-222-1-1-10000-1-11111000000
χ2122-2-22000000-2-222i−2i2i−2i00000000000022-2-22000000-2-222i−2i2i−2i00000000000022-2-22000000-2-222i−2i2i−2i000000000000
χ2222-2-22000000-2-22−2i2i−2i2i00000000000022-2-22000000-2-22−2i2i−2i2i00000000000022-2-22000000-2-22−2i2i−2i2i000000000000
χ232-22-2-12i−2i2i−2i2-21-110000-11−ii−ii0000002-22-2-12i−2i2i−2i2-21-110000-11−ii−ii0000002-22-2-12i−2i2i−2i2-21-110000-11−ii−ii000000
χ242-22-2-12i−2i−2i2i-221-1100001-1−iii−i0000002-22-2-12i−2i−2i2i-221-1100001-1−iii−i0000002-22-2-12i−2i−2i2i-221-1100001-1−iii−i000000
χ252-22-2-1−2i2i2i−2i-221-1100001-1i−i−ii0000002-22-2-1−2i2i2i−2i-221-1100001-1i−i−ii0000002-22-2-1−2i2i2i−2i-221-1100001-1i−i−ii000000
χ262-22-2-1−2i2i−2i2i2-21-110000-11i−ii−i0000002-22-2-1−2i2i−2i2i2-21-110000-11i−ii−i0000002-22-2-1−2i2i−2i2i2-21-110000-11i−ii−i000000
χ272-2-2220000002-2-22i−2i−2i2i0000000000002-2-2220000002-2-22i−2i−2i2i0000000000002-2-2220000002-2-22i−2i−2i2i000000000000
χ282-2-2220000002-2-2−2i2i2i−2i0000000000002-2-2220000002-2-2−2i2i2i−2i0000000000002-2-2220000002-2-2−2i2i2i−2i000000000000
χ2944-4-4-200000022-2000000000000000044-4-4-200000022-2000000000000000044-4-4-200000022-20000000000000000
χ304-4-44-2000000-22200000000000000004-4-44-2000000-22200000000000000004-4-44-2000000-2220000000000000000
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
χ3211111111111111-1-1-1-1111111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ331111111-1-1-1-11111111-1-111-1-1-1-111-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ3511111-1-111-1-11111111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+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+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3611111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i32
χ3711111-1-1-1-111111111111-1-1-1-111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3811111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ391-11-11i−ii−i1-1-11-111-1-11-1i−ii−i1-1i−ii−i−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11
χ401-11-11i−ii−i1-1-11-1-1-1111-1i−ii−i-11−ii−ii−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11
χ411-11-11i−i−ii-11-11-111-1-1-11i−i−ii-11i−i−ii−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11
χ421-11-11i−i−ii-11-11-1-1-111-11i−i−ii1-1−iii−i−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11
χ431-11-11−iii−i-11-11-111-1-1-11−iii−i-11−iii−i−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11
χ441-11-11−iii−i-11-11-1-1-111-11−iii−i1-1i−i−ii−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11
χ451-11-11−ii−ii1-1-11-111-1-11-1−ii−ii1-1−ii−ii−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11
χ461-11-11−ii−ii1-1-11-1-1-1111-1−ii−ii-11i−ii−i−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11
χ472222-1222222-1-1-10000-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000
χ482222-122-2-2-2-2-1-1-1000011-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ492222-1-2-222-2-2-1-1-100001111-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ502222-1-2-2-2-222-1-1-10000-1-11111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ5122-2-22000000-2-222i−2i2i−2i000000000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ7000000000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ11000000000000
χ5222-2-22000000-2-22−2i2i−2i2i000000000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7000000000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11000000000000
χ532-22-2-12i−2i2i−2i2-21-110000-11−ii−ii000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ72ζ7−2ζ7−1+i31−i3−1+i321−i32−1+i3200001−i32−1+i32−ζ7ζ7−ζ7ζ7000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ112ζ11−2ζ11−1−i31+i3−1−i321+i32−1−i3200001+i32−1−i32−ζ11ζ11−ζ11ζ11000000
χ542-22-2-12i−2i−2i2i-221-1100001-1−iii−i000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−2ζ72ζ71−i3−1+i3−1+i321−i32−1+i320000−1+i321−i32−ζ7ζ7ζ7−ζ7000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−2ζ112ζ111+i3−1−i3−1−i321+i32−1−i320000−1−i321+i32−ζ11ζ11ζ11−ζ11000000
χ552-22-2-1−2i2i2i−2i-221-1100001-1i−i−ii000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i321−i32−1+i320000−1+i321−i32ζ7−ζ7−ζ7ζ7000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i321+i32−1−i320000−1−i321+i32ζ11−ζ11−ζ11ζ11000000
χ562-22-2-1−2i2i−2i2i2-21-110000-11i−ii−i000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−2ζ72ζ7−1+i31−i3−1+i321−i32−1+i3200001−i32−1+i32ζ7−ζ7ζ7−ζ7000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−2ζ112ζ11−1−i31+i3−1−i321+i32−1−i3200001+i32−1−i32ζ11−ζ11ζ11−ζ11000000
χ572-2-2220000002-2-22i−2i−2i2i000000000000−1+i31−i31−i3−1+i3−1+i3000000−1+i31−i31−i32ζ7−2ζ7−2ζ72ζ7000000000000−1−i31+i31+i3−1−i3−1−i3000000−1−i31+i31+i32ζ11−2ζ11−2ζ112ζ11000000000000
χ582-2-2220000002-2-2−2i2i2i−2i000000000000−1+i31−i31−i3−1+i3−1+i3000000−1+i31−i31−i3−2ζ72ζ72ζ7−2ζ7000000000000−1−i31+i31+i3−1−i3−1−i3000000−1−i31+i31+i3−2ζ112ζ112ζ11−2ζ11000000000000
χ5944-4-4-200000022-20000000000000000−2+2i3−2+2i32−2i32−2i31−i3000000−1+i3−1+i31−i30000000000000000−2−2i3−2−2i32+2i32+2i31+i3000000−1−i3−1−i31+i30000000000000000
χ604-4-44-2000000-2220000000000000000−2+2i32−2i32−2i3−2+2i31−i30000001−i3−1+i3−1+i30000000000000000−2−2i32+2i32+2i3−2−2i31+i30000001+i3−1−i3−1−i30000000000000000
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
χ6211111111111111-1-1-1-1111111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ631111111-1-1-1-11111111-1-111-1-1-1-111-1-1−1−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ641111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ6511111-1-111-1-11111111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−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−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ6611111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i32
χ6711111-1-1-1-111111111111-1-1-1-111-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ6811111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ691-11-11i−ii−i1-1-11-111-1-11-1i−ii−i1-1i−ii−i−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7
χ701-11-11i−ii−i1-1-11-1-1-1111-1i−ii−i-11−ii−ii−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7
χ711-11-11i−i−ii-11-11-111-1-1-11i−i−ii-11i−i−ii−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7
χ721-11-11i−i−ii-11-11-1-1-111-11i−i−ii1-1−iii−i−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7
χ731-11-11−iii−i-11-11-111-1-1-11−iii−i-11−iii−i−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7
χ741-11-11−iii−i-11-11-1-1-111-11−iii−i1-1i−i−ii−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7
χ751-11-11−ii−ii1-1-11-111-1-11-1−ii−ii1-1−ii−ii−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7
χ761-11-11−ii−ii1-1-11-1-1-1111-1−ii−ii-11i−ii−i−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7
χ772222-1222222-1-1-10000-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000
χ782222-122-2-2-2-2-1-1-1000011-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ792222-1-2-222-2-2-1-1-100001111-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ802222-1-2-2-2-222-1-1-10000-1-11111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ8122-2-22000000-2-222i−2i2i−2i000000000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ11000000000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ7000000000000
χ8222-2-22000000-2-22−2i2i−2i2i000000000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11000000000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7000000000000
χ832-22-2-12i−2i2i−2i2-21-110000-11−ii−ii000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ112ζ11−2ζ11−1−i31+i3−1−i321+i32−1−i3200001+i32−1−i32−ζ11ζ11−ζ11ζ11000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ72ζ7−2ζ7−1+i31−i3−1+i321−i32−1+i3200001−i32−1+i32−ζ7ζ7−ζ7ζ7000000
χ842-22-2-12i−2i−2i2i-221-1100001-1−iii−i000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−2ζ112ζ111+i3−1−i3−1−i321+i32−1−i320000−1−i321+i32−ζ11ζ11ζ11−ζ11000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−2ζ72ζ71−i3−1+i3−1+i321−i32−1+i320000−1+i321−i32−ζ7ζ7ζ7−ζ7000000
χ852-22-2-1−2i2i2i−2i-221-1100001-1i−i−ii000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i321+i32−1−i320000−1−i321+i32ζ11−ζ11−ζ11ζ11000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i321−i32−1+i320000−1+i321−i32ζ7−ζ7−ζ7ζ7000000
χ862-22-2-1−2i2i−2i2i2-21-110000-11i−ii−i000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−2ζ112ζ11−1−i31+i3−1−i321+i32−1−i3200001+i32−1−i32ζ11−ζ11ζ11−ζ11000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−2ζ72ζ7−1+i31−i3−1+i321−i32−1+i3200001−i32−1+i32ζ7−ζ7ζ7−ζ7000000
χ872-2-2220000002-2-22i−2i−2i2i000000000000−1−i31+i31+i3−1−i3−1−i3000000−1−i31+i31+i32ζ11−2ζ11−2ζ112ζ11000000000000−1+i31−i31−i3−1+i3−1+i3000000−1+i31−i31−i32ζ7−2ζ7−2ζ72ζ7000000000000
χ882-2-2220000002-2-2−2i2i2i−2i000000000000−1−i31+i31+i3−1−i3−1−i3000000−1−i31+i31+i3−2ζ112ζ112ζ11−2ζ11000000000000−1+i31−i31−i3−1+i3−1+i3000000−1+i31−i31−i3−2ζ72ζ72ζ7−2ζ7000000000000
χ8944-4-4-200000022-20000000000000000−2−2i3−2−2i32+2i32+2i31+i3000000−1−i3−1−i31+i30000000000000000−2+2i3−2+2i32−2i32−2i31−i3000000−1+i3−1+i31−i30000000000000000
χ904-4-44-2000000-2220000000000000000−2−2i32+2i32+2i3−2−2i31+i30000001+i3−1−i3−1−i30000000000000000−2+2i32−2i32−2i3−2+2i31−i30000001−i3−1+i3−1+i30000000000000000

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