Finite Group Databasebeta

← Group #72343821

Character table — Group #72343821

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122666688881212121212121212161616161616161624242424323232323232323232323232111122666688881212121212121212161616161616161624242424323232323232323232323232
order124488248824882244888833661212121244886612122424242424242424224488248824882244888866661212121244886612122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ41111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ51111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ61111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ71111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1
χ81111-1-111-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-111-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ91111-1-111-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-111-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ101111-1-111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111
χ111111-1-111-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-111-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-111-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-111-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1i−ii−ii−ii−i11-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1i−ii−ii−ii−i
χ1411-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1i−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ711-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1i−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ1511-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1i−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1111-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1i−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ1611-1-1i−i1-1i−i-11−ii1-11-1ii−i−i1111-1-1-1-1-11−ii-1-111i−i−iii−i−ii11-1-1i−i1-1i−i-11−ii1-11-1ii−i−i1111-1-1-1-1-11−ii-1-111i−i−iii−i−ii
χ1711-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ1811-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ1911-1-1−ii1-1−ii1-1−ii1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−ii−ii−ii−ii11-1-1−ii1-1−ii1-1−ii1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−ii−ii−ii−ii
χ2011-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ711-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ2111-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1111-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ2211-1-1−ii1-1−ii-11i−i1-11-1−i−iii1111-1-1-1-1-11i−i-1-111−iii−i−iii−i11-1-1−ii1-1−ii-11i−i1-11-1−i−iii1111-1-1-1-1-11i−i-1-111−iii−i−iii−i
χ2311-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11i−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11i−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ2411-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11i−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11i−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ2533333333333333-1-1-1-1-1-1-1-100000000-1-1-1-100000000000033333333333333-1-1-1-1-1-1-1-100000000-1-1-1-1000000000000
χ263333333333-3-3-3-3-1-1-1-1-1-1-1-10000000011110000000000003333333333-3-3-3-3-1-1-1-1-1-1-1-1000000001111000000000000
χ273333-3-333-3-333-3-3-1-1-1-1111100000000-1-1110000000000003333-3-333-3-333-3-3-1-1-1-1111100000000-1-111000000000000
χ283333-3-333-3-3-3-333-1-1-1-111110000000011-1-10000000000003333-3-333-3-3-3-333-1-1-1-111110000000011-1-1000000000000
χ2933-3-33i−3i3-33i−3i3-33i−3i-11-11−i−iii00000000-11−ii00000000000033-3-33i−3i3-33i−3i3-33i−3i-11-11−i−iii00000000-11−ii000000000000
χ3033-3-33i−3i3-33i−3i-33−3i3i-11-11−i−iii000000001-1i−i00000000000033-3-33i−3i3-33i−3i-33−3i3i-11-11−i−iii000000001-1i−i000000000000
χ3133-3-3−3i3i3-3−3i3i3-3−3i3i-11-11ii−i−i00000000-11i−i00000000000033-3-3−3i3i3-3−3i3i3-3−3i3i-11-11ii−i−i00000000-11i−i000000000000
χ3233-3-3−3i3i3-3−3i3i-333i−3i-11-11ii−i−i000000001-1−ii00000000000033-3-3−3i3i3-3−3i3i-333i−3i-11-11ii−i−i000000001-1−ii000000000000
χ33666666-2-2-2-200002-2-222-22-2000000000000000000000000666666-2-2-2-200002-2-222-22-2000000000000000000000000
χ34666666-2-2-2-20000-222-2-22-22000000000000000000000000666666-2-2-2-20000-222-2-22-22000000000000000000000000
χ356666-6-6-2-22200002-2-22-22-220000000000000000000000006666-6-6-2-22200002-2-22-22-22000000000000000000000000
χ366666-6-6-2-2220000-222-22-22-20000000000000000000000006666-6-6-2-2220000-222-22-22-2000000000000000000000000
χ3766-6-66i−6i-22−2i2i000022-2-22i−2i−2i2i00000000000000000000000066-6-66i−6i-22−2i2i000022-2-22i−2i−2i2i000000000000000000000000
χ3866-6-66i−6i-22−2i2i0000-2-222−2i2i2i−2i00000000000000000000000066-6-66i−6i-22−2i2i0000-2-222−2i2i2i−2i000000000000000000000000
χ3966-6-6−6i6i-222i−2i000022-2-2−2i2i2i−2i00000000000000000000000066-6-6−6i6i-222i−2i000022-2-2−2i2i2i−2i000000000000000000000000
χ4066-6-6−6i6i-222i−2i0000-2-2222i−2i−2i2i00000000000000000000000066-6-6−6i6i-222i−2i0000-2-2222i−2i−2i2i000000000000000000000000
χ418-88i−8i00000000000000000022-2-22i−2i2i−2i00000000000000008-88i−8i00000000000000000022-2-22i−2i2i−2i0000000000000000
χ428-88i−8i000000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ700000000000000008-88i−8i000000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000
χ438-88i−8i000000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000008-88i−8i000000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000
χ448-8−8i8i00000000000000000022-2-2−2i2i−2i2i00000000000000008-8−8i8i00000000000000000022-2-2−2i2i−2i2i0000000000000000
χ458-8−8i8i000000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000008-8−8i8i000000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000
χ468-8−8i8i000000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000008-8−8i8i000000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ481111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ491111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ501111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ511111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ521111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ531111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ541111-1-111-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-111-1-111-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ551111-1-111-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-111-1-111-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ561111-1-111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ571111-1-111-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-111-1-11111-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ581111-1-111-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-111-1-11111-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ5911-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1i−ii−ii−ii−i-1-111−ii-11−ii-11−ii-11-11−i−iii-1-1-1-11111-11−ii-1-111−ii−ii−ii−ii
χ6011-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1i−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-1-111−ii-11−ii-11−ii-11-11−i−iii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-11−ii1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ6111-1-1i−i1-1i−i1-1i−i1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1i−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-1-111−ii-11−ii-11−ii-11-11−i−iii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-11−ii1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ6211-1-1i−i1-1i−i-11−ii1-11-1ii−i−i1111-1-1-1-1-11−ii-1-111i−i−iii−i−ii-1-111−ii-11−ii1-1i−i-11-11−i−iii-1-1-1-111111-1i−i11-1-1−iii−i−iii−i
χ6311-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−ii1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-1-111−ii-11−ii1-1i−i-11-11−i−iii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1i−i−1−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ6411-1-1i−i1-1i−i-11−ii1-11-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−ii1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11-1-111−ii-11−ii1-1i−i-11-11−i−iii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1i−i−1+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ6511-1-1−ii1-1−ii1-1−ii1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−ii−ii−ii−ii-1-111i−i-11i−i-11i−i-11-11ii−i−i-1-1-1-11111-11i−i-1-111i−ii−ii−ii−i
χ6611-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-1-111i−i-11i−i-11i−i-11-11ii−i−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-11i−i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ6711-1-1−ii1-1−ii1-1−ii1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-1-111i−i-11i−i-11i−i-11-11ii−i−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-11i−i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ6811-1-1−ii1-1−ii-11i−i1-11-1−i−iii1111-1-1-1-1-11i−i-1-111−iii−i−iii−i-1-111i−i-11i−i1-1−ii-11-11ii−i−i-1-1-1-111111-1−ii11-1-1i−i−iii−i−ii
χ6911-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11i−i1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7-1-111i−i-11i−i1-1−ii-11-11ii−i−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1−ii−1−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ7011-1-1−ii1-1−ii-11i−i1-11-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11i−i1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11-1-111i−i-11i−i1-1−ii-11-11ii−i−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1−ii−1+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ7133333333333333-1-1-1-1-1-1-1-100000000-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-311111111000000001111000000000000
χ723333333333-3-3-3-3-1-1-1-1-1-1-1-1000000001111000000000000-3-3-3-3-3-3-3-3-3-333331111111100000000-1-1-1-1000000000000
χ733333-3-333-3-333-3-3-1-1-1-1111100000000-1-111000000000000-3-3-3-333-3-333-3-3331111-1-1-1-10000000011-1-1000000000000
χ743333-3-333-3-3-3-333-1-1-1-111110000000011-1-1000000000000-3-3-3-333-3-33333-3-31111-1-1-1-100000000-1-111000000000000
χ7533-3-33i−3i3-33i−3i3-33i−3i-11-11−i−iii00000000-11−ii000000000000-3-333−3i3i-33−3i3i-33−3i3i1-11-1ii−i−i000000001-1i−i000000000000
χ7633-3-33i−3i3-33i−3i-33−3i3i-11-11−i−iii000000001-1i−i000000000000-3-333−3i3i-33−3i3i3-33i−3i1-11-1ii−i−i00000000-11−ii000000000000
χ7733-3-3−3i3i3-3−3i3i3-3−3i3i-11-11ii−i−i00000000-11i−i000000000000-3-3333i−3i-333i−3i-333i−3i1-11-1−i−iii000000001-1−ii000000000000
χ7833-3-3−3i3i3-3−3i3i-333i−3i-11-11ii−i−i000000001-1−ii000000000000-3-3333i−3i-333i−3i3-3−3i3i1-11-1−i−iii00000000-11i−i000000000000
χ79666666-2-2-2-200002-2-222-22-2000000000000000000000000-6-6-6-6-6-622220000-222-2-22-22000000000000000000000000
χ80666666-2-2-2-20000-222-2-22-22000000000000000000000000-6-6-6-6-6-6222200002-2-222-22-2000000000000000000000000
χ816666-6-6-2-22200002-2-22-22-22000000000000000000000000-6-6-6-66622-2-20000-222-22-22-2000000000000000000000000
χ826666-6-6-2-2220000-222-22-22-2000000000000000000000000-6-6-6-66622-2-200002-2-22-22-22000000000000000000000000
χ8366-6-66i−6i-22−2i2i000022-2-22i−2i−2i2i000000000000000000000000-6-666−6i6i2-22i−2i0000-2-222−2i2i2i−2i000000000000000000000000
χ8466-6-66i−6i-22−2i2i0000-2-222−2i2i2i−2i000000000000000000000000-6-666−6i6i2-22i−2i000022-2-22i−2i−2i2i000000000000000000000000
χ8566-6-6−6i6i-222i−2i000022-2-2−2i2i2i−2i000000000000000000000000-6-6666i−6i2-2−2i2i0000-2-2222i−2i−2i2i000000000000000000000000
χ8666-6-6−6i6i-222i−2i0000-2-2222i−2i−2i2i000000000000000000000000-6-6666i−6i2-2−2i2i000022-2-2−2i2i2i−2i000000000000000000000000
χ878-88i−8i00000000000000000022-2-22i−2i2i−2i0000000000000000-88−8i8i000000000000000000-2-222−2i2i−2i2i0000000000000000
χ888-88i−8i000000000000000000−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000-88−8i8i0000000000000000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000
χ898-88i−8i000000000000000000−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000-88−8i8i0000000000000000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000
χ908-8−8i8i00000000000000000022-2-2−2i2i−2i2i0000000000000000-888i−8i000000000000000000-2-2222i−2i2i−2i0000000000000000
χ918-8−8i8i000000000000000000−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000-888i−8i0000000000000000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000
χ928-8−8i8i000000000000000000−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000-888i−8i0000000000000000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000

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