Finite Group Databasebeta

← Group #64016

Character table — Group #64016

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222223333444444666666111122222222223333444444666666111122222222223333444444666666
order122234444446664444121212121212222244366631212121212126661212121212121212121266661212366631212121212126661212121212121212121266661212
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
χ31111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ41111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1
χ511111-1-111-1-11111111-1-111-1-111-1-1-1-111111-1-111-1-11111111-1-111-1-111-1-1-1-111111-1-111-1-11111111-1-111-1-111-1-1-1-1
χ611111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111
χ711111-1-1-1-1111111111-1-1-1-111-1-111-1-111111-1-1-1-1111111111-1-1-1-111-1-111-1-111111-1-1-1-1111111111-1-1-1-111-1-111-1-1
χ811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111
χ911-1-111-1i−ii−i-11-1ii−i−i1-1i−ii−i1-11-1i−i11-1-111-1i−ii−i-11-1ii−i−i1-1i−ii−i1-11-1i−i11-1-111-1i−ii−i-11-1ii−i−i1-1i−ii−i1-11-1i−i
χ1011-1-111-1i−ii−i-11-1−i−iii1-1i−ii−i-11-11−ii11-1-111-1i−ii−i-11-1−i−iii1-1i−ii−i-11-11−ii11-1-111-1i−ii−i-11-1−i−iii1-1i−ii−i-11-11−ii
χ1111-1-111-1−ii−ii-11-1ii−i−i1-1−ii−ii-11-11i−i11-1-111-1−ii−ii-11-1ii−i−i1-1−ii−ii-11-11i−i11-1-111-1−ii−ii-11-1ii−i−i1-1−ii−ii-11-11i−i
χ1211-1-111-1−ii−ii-11-1−i−iii1-1−ii−ii1-11-1−ii11-1-111-1−ii−ii-11-1−i−iii1-1−ii−ii1-11-1−ii11-1-111-1−ii−ii-11-1−i−iii1-1−ii−ii1-11-1−ii
χ1311-1-11-11i−i−ii-11-1ii−i−i-11i−i−ii1-1-11−ii11-1-11-11i−i−ii-11-1ii−i−i-11i−i−ii1-1-11−ii11-1-11-11i−i−ii-11-1ii−i−i-11i−i−ii1-1-11−ii
χ1411-1-11-11i−i−ii-11-1−i−iii-11i−i−ii-111-1i−i11-1-11-11i−i−ii-11-1−i−iii-11i−i−ii-111-1i−i11-1-11-11i−i−ii-11-1−i−iii-11i−i−ii-111-1i−i
χ1511-1-11-11−iii−i-11-1ii−i−i-11−iii−i-111-1−ii11-1-11-11−iii−i-11-1ii−i−i-11−iii−i-111-1−ii11-1-11-11−iii−i-11-1ii−i−i-11−iii−i-111-1−ii
χ1611-1-11-11−iii−i-11-1−i−iii-11−iii−i1-1-11i−i11-1-11-11−iii−i-11-1−i−iii-11−iii−i1-1-11i−i11-1-11-11−iii−i-11-1−i−iii-11−iii−i1-1-11i−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
χ182222-122-2-2-2-2-1-1-10000-1-111110000002222-122-2-2-2-2-1-1-10000-1-111110000002222-122-2-2-2-2-1-1-10000-1-11111000000
χ192222-1-2-222-2-2-1-1-1000011-1-1110000002222-1-2-222-2-2-1-1-1000011-1-1110000002222-1-2-222-2-2-1-1-1000011-1-111000000
χ202222-1-2-2-2-222-1-1-100001111-1-10000002222-1-2-2-2-222-1-1-100001111-1-10000002222-1-2-2-2-222-1-1-100001111-1-1000000
χ2122-2-2-12-22i−2i2i−2i1-110000-11−ii−ii00000022-2-2-12-22i−2i2i−2i1-110000-11−ii−ii00000022-2-2-12-22i−2i2i−2i1-110000-11−ii−ii000000
χ2222-2-2-12-2−2i2i−2i2i1-110000-11i−ii−i00000022-2-2-12-2−2i2i−2i2i1-110000-11i−ii−i00000022-2-2-12-2−2i2i−2i2i1-110000-11i−ii−i000000
χ2322-2-2-1-222i−2i−2i2i1-1100001-1−iii−i00000022-2-2-1-222i−2i−2i2i1-1100001-1−iii−i00000022-2-2-1-222i−2i−2i2i1-1100001-1−iii−i000000
χ2422-2-2-1-22−2i2i2i−2i1-1100001-1i−i−ii00000022-2-2-1-22−2i2i2i−2i1-1100001-1i−i−ii00000022-2-2-1-22−2i2i2i−2i1-1100001-1i−i−ii000000
χ252-22-220000002-2-22i−2i2i−2i0000000000002-22-220000002-2-22i−2i2i−2i0000000000002-22-220000002-2-22i−2i2i−2i000000000000
χ262-22-220000002-2-2−2i2i−2i2i0000000000002-22-220000002-2-2−2i2i−2i2i0000000000002-22-220000002-2-2−2i2i−2i2i000000000000
χ272-2-222000000-2-222-2-220000000000002-2-222000000-2-222-2-220000000000002-2-222000000-2-222-2-22000000000000
χ282-2-222000000-2-22-222-20000000000002-2-222000000-2-22-222-20000000000002-2-222000000-2-22-222-2000000000000
χ294-44-4-2000000-22200000000000000004-44-4-2000000-22200000000000000004-44-4-2000000-2220000000000000000
χ304-4-44-200000022-200000000000000004-4-44-200000022-200000000000000004-4-44-200000022-20000000000000000
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
χ331111111-1-1-1-1111111111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i32−1−i32−1−i32
χ341111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3511111-1-111-1-11111111-1-111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3611111-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111−1+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−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3711111-1-1-1-1111111111-1-1-1-111-1-111-1-1−1+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+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−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−i321+i321+i32−1−i32−1−i321+i321+i32
χ3811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−1+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−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ3911-1-111-1i−ii−i-11-1ii−i−i1-1i−ii−i1-11-1i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ4011-1-111-1i−ii−i-11-1−i−iii1-1i−ii−i-11-11−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11
χ4111-1-111-1−ii−ii-11-1ii−i−i1-1−ii−ii-11-11i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11
χ4211-1-111-1−ii−ii-11-1−i−iii1-1−ii−ii1-11-1−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ4311-1-11-11i−i−ii-11-1ii−i−i-11i−i−ii1-1-11−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11
χ4411-1-11-11i−i−ii-11-1−i−iii-11i−i−ii-111-1i−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11
χ4511-1-11-11−iii−i-11-1ii−i−i-11−iii−i-111-1−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11
χ4611-1-11-11−iii−i-11-1−i−iii-11−iii−i1-1-11i−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−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
χ482222-122-2-2-2-2-1-1-10000-1-11111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ492222-1-2-222-2-2-1-1-1000011-1-111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ502222-1-2-2-2-222-1-1-100001111-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ5122-2-2-12-22i−2i2i−2i1-110000-11−ii−ii000000−1+i3−1+i31−i31−i31−i32−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i321−i32−1+i3200001−i32−1+i32−ζ7ζ7−ζ7ζ7000000−1−i3−1−i31+i31+i31+i32−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i321+i32−1−i3200001+i32−1−i32−ζ11ζ11−ζ11ζ11000000
χ5222-2-2-12-2−2i2i−2i2i1-110000-11i−ii−i000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i321−i32−1+i3200001−i32−1+i32ζ7−ζ7ζ7−ζ7000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i321+i32−1−i3200001+i32−1−i32ζ11−ζ11ζ11−ζ11000000
χ5322-2-2-1-222i−2i−2i2i1-1100001-1−iii−i000000−1+i3−1+i31−i31−i31−i321−i3−1+i32ζ7−2ζ7−2ζ72ζ7−1+i321−i32−1+i320000−1+i321−i32−ζ7ζ7ζ7−ζ7000000−1−i3−1−i31+i31+i31+i321+i3−1−i32ζ11−2ζ11−2ζ112ζ11−1−i321+i32−1−i320000−1−i321+i32−ζ11ζ11ζ11−ζ11000000
χ5422-2-2-1-22−2i2i2i−2i1-1100001-1i−i−ii000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−2ζ72ζ72ζ7−2ζ7−1+i321−i32−1+i320000−1+i321−i32ζ7−ζ7−ζ7ζ7000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−2ζ112ζ112ζ11−2ζ11−1−i321+i32−1−i320000−1−i321+i32ζ11−ζ11−ζ11ζ11000000
χ552-22-220000002-2-22i−2i2i−2i000000000000−1+i31−i3−1+i31−i3−1+i3000000−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7000000000000−1−i31+i3−1−i31+i3−1−i3000000−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11000000000000
χ562-22-220000002-2-2−2i2i−2i2i000000000000−1+i31−i3−1+i31−i3−1+i3000000−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7000000000000−1−i31+i3−1−i31+i3−1−i3000000−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11000000000000
χ572-2-222000000-2-222-2-22000000000000−1+i31−i31−i3−1+i3−1+i30000001−i31−i3−1+i3−1+i31−i31−i3−1+i3000000000000−1−i31+i31+i3−1−i3−1−i30000001+i31+i3−1−i3−1−i31+i31+i3−1−i3000000000000
χ582-2-222000000-2-22-222-2000000000000−1+i31−i31−i3−1+i3−1+i30000001−i31−i3−1+i31−i3−1+i3−1+i31−i3000000000000−1−i31+i31+i3−1−i3−1−i30000001+i31+i3−1−i31+i3−1−i3−1−i31+i3000000000000
χ594-44-4-2000000-2220000000000000000−2+2i32−2i3−2+2i32−2i31−i30000001−i3−1+i3−1+i30000000000000000−2−2i32+2i3−2−2i32+2i31+i30000001+i3−1−i3−1−i30000000000000000
χ604-4-44-200000022-20000000000000000−2+2i32−2i32−2i3−2+2i31−i3000000−1+i3−1+i31−i30000000000000000−2−2i32+2i32+2i3−2−2i31+i3000000−1−i3−1−i31+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
χ631111111-1-1-1-1111111111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+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−i321−i321−i321−i321−i32−1+i32−1+i32
χ641111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6511111-1-111-1-11111111-1-111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ6611111-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111−1−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+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6711111-1-1-1-1111111111-1-1-1-111-1-111-1-1−1−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−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+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+i321−i321−i32−1+i32−1+i321−i321−i32
χ6811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−1−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+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ6911-1-111-1i−ii−i-11-1ii−i−i1-1i−ii−i1-11-1i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7
χ7011-1-111-1i−ii−i-11-1−i−iii1-1i−ii−i-11-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
χ7111-1-111-1−ii−ii-11-1ii−i−i1-1−ii−ii-11-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
χ7211-1-111-1−ii−ii-11-1−i−iii1-1−ii−ii1-11-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7
χ7311-1-11-11i−i−ii-11-1ii−i−i-11i−i−ii1-1-11−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7
χ7411-1-11-11i−i−ii-11-1−i−iii-11i−i−ii-111-1i−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7
χ7511-1-11-11−iii−i-11-1ii−i−i-11−iii−i-111-1−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7
χ7611-1-11-11−iii−i-11-1−i−iii-11−iii−i1-1-11i−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−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
χ782222-122-2-2-2-2-1-1-10000-1-11111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ792222-1-2-222-2-2-1-1-1000011-1-111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ802222-1-2-2-2-222-1-1-100001111-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ8122-2-2-12-22i−2i2i−2i1-110000-11−ii−ii000000−1−i3−1−i31+i31+i31+i32−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i321+i32−1−i3200001+i32−1−i32−ζ11ζ11−ζ11ζ11000000−1+i3−1+i31−i31−i31−i32−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i321−i32−1+i3200001−i32−1+i32−ζ7ζ7−ζ7ζ7000000
χ8222-2-2-12-2−2i2i−2i2i1-110000-11i−ii−i000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i321+i32−1−i3200001+i32−1−i32ζ11−ζ11ζ11−ζ11000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i321−i32−1+i3200001−i32−1+i32ζ7−ζ7ζ7−ζ7000000
χ8322-2-2-1-222i−2i−2i2i1-1100001-1−iii−i000000−1−i3−1−i31+i31+i31+i321+i3−1−i32ζ11−2ζ11−2ζ112ζ11−1−i321+i32−1−i320000−1−i321+i32−ζ11ζ11ζ11−ζ11000000−1+i3−1+i31−i31−i31−i321−i3−1+i32ζ7−2ζ7−2ζ72ζ7−1+i321−i32−1+i320000−1+i321−i32−ζ7ζ7ζ7−ζ7000000
χ8422-2-2-1-22−2i2i2i−2i1-1100001-1i−i−ii000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−2ζ112ζ112ζ11−2ζ11−1−i321+i32−1−i320000−1−i321+i32ζ11−ζ11−ζ11ζ11000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−2ζ72ζ72ζ7−2ζ7−1+i321−i32−1+i320000−1+i321−i32ζ7−ζ7−ζ7ζ7000000
χ852-22-220000002-2-22i−2i2i−2i000000000000−1−i31+i3−1−i31+i3−1−i3000000−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11000000000000−1+i31−i3−1+i31−i3−1+i3000000−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7000000000000
χ862-22-220000002-2-2−2i2i−2i2i000000000000−1−i31+i3−1−i31+i3−1−i3000000−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11000000000000−1+i31−i3−1+i31−i3−1+i3000000−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7000000000000
χ872-2-222000000-2-222-2-22000000000000−1−i31+i31+i3−1−i3−1−i30000001+i31+i3−1−i3−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i30000001−i31−i3−1+i3−1+i31−i31−i3−1+i3000000000000
χ882-2-222000000-2-22-222-2000000000000−1−i31+i31+i3−1−i3−1−i30000001+i31+i3−1−i31+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i30000001−i31−i3−1+i31−i3−1+i3−1+i31−i3000000000000
χ894-44-4-2000000-2220000000000000000−2−2i32+2i3−2−2i32+2i31+i30000001+i3−1−i3−1−i30000000000000000−2+2i32−2i3−2+2i32−2i31−i30000001−i3−1+i3−1+i30000000000000000
χ904-4-44-200000022-20000000000000000−2−2i32+2i32+2i3−2−2i31+i3000000−1−i3−1−i31+i30000000000000000−2+2i32−2i32−2i3−2+2i31−i3000000−1+i3−1+i31−i30000000000000000

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