Finite Group Databasebeta

← Group #10591842

Character table — Group #10591842

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222233444444444666888888121212121212112222233444444444666888888121212121212112222233444444444666888888121212121212
order122344644226888812122246624242424448888366312126121266624242424121266126624242424121224242424366312126121266624242424121266126624242424121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1
χ3111111111-1-1111-1-111111-1-111-1-1-1-111-1-1111111111-1-1111-1-111111-1-111-1-1-1-111-1-1111111111-1-1111-1-111111-1-111-1-1-1-111-1-1
χ4111111111-1-11-1-11111111-1-1-1-111-1-1-1-111111111111-1-11-1-11111111-1-1-1-111-1-1-1-111111111111-1-11-1-11111111-1-1-1-111-1-1-1-111
χ51111111-1-1111111111-1-1-1111111-1-1-1-1-1-11111111-1-1111111111-1-1-1111111-1-1-1-1-1-11111111-1-1111111111-1-1-1111111-1-1-1-1-1-1
χ61111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11111
χ71111111-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111
χ81111111-1-1-1-11-1-11111-1-1-1-1-1-1-1111111-1-11111111-1-1-1-11-1-11111-1-1-1-1-1-1-1111111-1-11111111-1-1-1-11-1-11111-1-1-1-1-1-1-1111111-1-1
χ91111-1-11111-11i−ii−i-1-1-1-111-1i−ii−i1-1i−ii−i1111-1-11111-11i−ii−i-1-1-1-111-1i−ii−i1-1i−ii−i1111-1-11111-11i−ii−i-1-1-1-111-1i−ii−i1-1i−ii−i
χ101111-1-11111-11−ii−ii-1-1-1-111-1−ii−ii1-1−ii−ii1111-1-11111-11−ii−ii-1-1-1-111-1−ii−ii1-1−ii−ii1111-1-11111-11−ii−ii-1-1-1-111-1−ii−ii1-1−ii−ii
χ111111-1-1111-111i−i−ii-1-1-1-11-11i−i−ii-11i−i−ii1111-1-1111-111i−i−ii-1-1-1-11-11i−i−ii-11i−i−ii1111-1-1111-111i−i−ii-1-1-1-11-11i−i−ii-11i−i−ii
χ121111-1-1111-111−iii−i-1-1-1-11-11−iii−i-11−iii−i1111-1-1111-111−iii−i-1-1-1-11-11−iii−i-11−iii−i1111-1-1111-111−iii−i-1-1-1-11-11−iii−i-11−iii−i
χ131111-1-11-1-11-11i−ii−i-1-111-11-1i−ii−i-11−ii−ii1111-1-11-1-11-11i−ii−i-1-111-11-1i−ii−i-11−ii−ii1111-1-11-1-11-11i−ii−i-1-111-11-1i−ii−i-11−ii−ii
χ141111-1-11-1-11-11−ii−ii-1-111-11-1−ii−ii-11i−ii−i1111-1-11-1-11-11−ii−ii-1-111-11-1−ii−ii-11i−ii−i1111-1-11-1-11-11−ii−ii-1-111-11-1−ii−ii-11i−ii−i
χ151111-1-11-1-1-111i−i−ii-1-111-1-11i−i−ii1-1−iii−i1111-1-11-1-1-111i−i−ii-1-111-1-11i−i−ii1-1−iii−i1111-1-11-1-1-111i−i−ii-1-111-1-11i−i−ii1-1−iii−i
χ161111-1-11-1-1-111−iii−i-1-111-1-11−iii−i1-1i−i−ii1111-1-11-1-1-111−iii−i-1-111-1-11−iii−i1-1i−i−ii1111-1-11-1-1-111−iii−i-1-111-1-11−iii−i1-1i−i−ii
χ17222-122-10022-12222-1-1000-1-1-1-1-1-1000000222-122-10022-12222-1-1000-1-1-1-1-1-1000000222-122-10022-12222-1-1000-1-1-1-1-1-1000000
χ18222-122-10022-1-2-2-2-2-1-1000-1-11111000000222-122-10022-1-2-2-2-2-1-1000-1-11111000000222-122-10022-1-2-2-2-2-1-1000-1-11111000000
χ19222-122-100-2-2-122-2-2-1-100011-1-111000000222-122-100-2-2-122-2-2-1-100011-1-111000000222-122-100-2-2-122-2-2-1-100011-1-111000000
χ20222-122-100-2-2-1-2-222-1-10001111-1-1000000222-122-100-2-2-1-2-222-1-10001111-1-1000000222-122-100-2-2-1-2-222-1-10001111-1-1000000
χ21222-1-2-2-1002-2-12i−2i2i−2i11000-11−ii−ii000000222-1-2-2-1002-2-12i−2i2i−2i11000-11−ii−ii000000222-1-2-2-1002-2-12i−2i2i−2i11000-11−ii−ii000000
χ22222-1-2-2-1002-2-1−2i2i−2i2i11000-11i−ii−i000000222-1-2-2-1002-2-1−2i2i−2i2i11000-11i−ii−i000000222-1-2-2-1002-2-1−2i2i−2i2i11000-11i−ii−i000000
χ23222-1-2-2-100-22-12i−2i−2i2i110001-1−iii−i000000222-1-2-2-100-22-12i−2i−2i2i110001-1−iii−i000000222-1-2-2-100-22-12i−2i−2i2i110001-1−iii−i000000
χ24222-1-2-2-100-22-1−2i2i2i−2i110001-1i−i−ii000000222-1-2-2-100-22-1−2i2i2i−2i110001-1i−i−ii000000222-1-2-2-100-22-1−2i2i2i−2i110001-1i−i−ii000000
χ2522-222-222200-200002-22-2-200000000000022-222-222200-200002-22-2-200000000000022-222-222200-200002-22-2-2000000000000
χ2622-222-22-2-200-200002-2-22200000000000022-222-22-2-200-200002-2-22200000000000022-222-22-2-200-200002-2-222000000000000
χ2722-22-2222200-20000-22-22-200000000000022-22-2222200-20000-22-22-200000000000022-22-2222200-20000-22-22-2000000000000
χ2822-22-222-2-200-20000-222-2200000000000022-22-222-2-200-20000-222-2200000000000022-22-222-2-200-20000-222-22000000000000
χ2944-4-24-4-2000020000-2200000000000000044-4-24-4-2000020000-2200000000000000044-4-24-4-2000020000-22000000000000000
χ3044-4-2-44-20000200002-200000000000000044-4-2-44-20000200002-200000000000000044-4-2-44-20000200002-2000000000000000
χ314-40400-44i−4i0000000000000000000000004-40400-44i−4i0000000000000000000000004-40400-44i−4i000000000000000000000000
χ324-40400-4−4i4i0000000000000000000000004-40400-4−4i4i0000000000000000000000004-40400-4−4i4i000000000000000000000000
χ338-80-4004000000000000000000000000008-80-4004000000000000000000000000008-80-400400000000000000000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ35111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ36111111111-1-1111-1-111111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i32−1−i321+i321+i32
χ37111111111-1-11-1-11111111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ381111111-1-1111111111-1-1-1111111-1-1-1-1-1-1−1+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−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ391111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ401111111-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+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
χ411111111-1-1-1-11-1-11111-1-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ421111-1-11111-11i−ii−i-1-1-1-111-1i−ii−i1-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11
χ431111-1-11111-11−ii−ii-1-1-1-111-1−ii−ii1-1−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11
χ441111-1-1111-111i−i−ii-1-1-1-11-11i−i−ii-11i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11
χ451111-1-1111-111−iii−i-1-1-1-11-11−iii−i-11−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11
χ461111-1-11-1-11-11i−ii−i-1-111-11-1i−ii−i-11−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11
χ471111-1-11-1-11-11−ii−ii-1-111-11-1−ii−ii-11i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11
χ481111-1-11-1-1-111i−i−ii-1-111-1-11i−i−ii1-1−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11
χ491111-1-11-1-1-111−iii−i-1-111-1-11−iii−i1-1i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11
χ50222-122-10022-12222-1-1000-1-1-1-1-1-1000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3200−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i320001−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3200−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i320001+i321+i321+i321+i321+i321+i32000000
χ51222-122-10022-1-2-2-2-2-1-1000-1-11111000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3200−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i320001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3200−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i320001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
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χ68111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+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−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ69111111111-1-1111-1-111111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i321−i321−i32
χ70111111111-1-11-1-11111111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ711111111-1-1111111111-1-1-1111111-1-1-1-1-1-1−1−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+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ721111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ731111111-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−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
χ741111111-1-1-1-11-1-11111-1-1-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ751111-1-11111-11i−ii−i-1-1-1-111-1i−ii−i1-1i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7
χ761111-1-11111-11−ii−ii-1-1-1-111-1−ii−ii1-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7
χ771111-1-1111-111i−i−ii-1-1-1-11-11i−i−ii-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7
χ781111-1-1111-111−iii−i-1-1-1-11-11−iii−i-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7
χ791111-1-11-1-11-11i−ii−i-1-111-11-1i−ii−i-11−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7
χ801111-1-11-1-11-11−ii−ii-1-111-11-1−ii−ii-11i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7
χ811111-1-11-1-1-111i−i−ii-1-111-1-11i−i−ii1-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7
χ821111-1-11-1-1-111−iii−i-1-111-1-11−iii−i1-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7
χ83222-122-10022-12222-1-1000-1-1-1-1-1-1000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3200−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i320001+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3200−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i320001−i321−i321−i321−i321−i321−i32000000
χ84222-122-10022-1-2-2-2-2-1-1000-1-11111000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3200−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i320001+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3200−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i320001−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ85222-122-100-2-2-122-2-2-1-100011-1-111000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32001+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i32000−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32001−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i32000−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ86222-122-100-2-2-1-2-222-1-10001111-1-1000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32001+i31+i31+i321+i31+i3−1−i3−1−i31+i321+i32000−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32001−i31−i31−i321−i31−i3−1+i3−1+i31−i321−i32000−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ87222-1-2-2-1002-2-12i−2i2i−2i11000-11−ii−ii000000−1−i3−1−i3−1−i31+i321+i31+i31+i3200−1−i31+i31+i322ζ11−2ζ112ζ11−2ζ11−1−i32−1−i320001+i32−1−i32−ζ11ζ11−ζ11ζ11000000−1+i3−1+i3−1+i31−i321−i31−i31−i3200−1+i31−i31−i322ζ7−2ζ72ζ7−2ζ7−1+i32−1+i320001−i32−1+i32−ζ7ζ7−ζ7ζ7000000
χ88222-1-2-2-1002-2-1−2i2i−2i2i11000-11i−ii−i000000−1−i3−1−i3−1−i31+i321+i31+i31+i3200−1−i31+i31+i32−2ζ112ζ11−2ζ112ζ11−1−i32−1−i320001+i32−1−i32ζ11−ζ11ζ11−ζ11000000−1+i3−1+i3−1+i31−i321−i31−i31−i3200−1+i31−i31−i32−2ζ72ζ7−2ζ72ζ7−1+i32−1+i320001−i32−1+i32ζ7−ζ7ζ7−ζ7000000
χ89222-1-2-2-100-22-12i−2i−2i2i110001-1−iii−i000000−1−i3−1−i3−1−i31+i321+i31+i31+i32001+i3−1−i31+i322ζ11−2ζ11−2ζ112ζ11−1−i32−1−i32000−1−i321+i32−ζ11ζ11ζ11−ζ11000000−1+i3−1+i3−1+i31−i321−i31−i31−i32001−i3−1+i31−i322ζ7−2ζ7−2ζ72ζ7−1+i32−1+i32000−1+i321−i32−ζ7ζ7ζ7−ζ7000000
χ90222-1-2-2-100-22-1−2i2i2i−2i110001-1i−i−ii000000−1−i3−1−i3−1−i31+i321+i31+i31+i32001+i3−1−i31+i32−2ζ112ζ112ζ11−2ζ11−1−i32−1−i32000−1−i321+i32ζ11−ζ11−ζ11ζ11000000−1+i3−1+i3−1+i31−i321−i31−i31−i32001−i3−1+i31−i32−2ζ72ζ72ζ7−2ζ7−1+i32−1+i32000−1+i321−i32ζ7−ζ7−ζ7ζ7000000
χ9122-222-222200-200002-22-2-2000000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3001+i30000−1−i31+i3−1−i31+i31+i3000000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3001−i30000−1+i31−i3−1+i31−i31−i3000000000000
χ9222-222-22-2-200-200002-2-222000000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3001+i30000−1−i31+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3001−i30000−1+i31−i31−i3−1+i3−1+i3000000000000
χ9322-22-2222200-20000-22-22-2000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i300001+i3−1−i31+i3−1−i31+i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i300001−i3−1+i31−i3−1+i31−i3000000000000
χ9422-22-222-2-200-20000-222-22000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3001+i300001+i3−1−i3−1−i31+i3−1−i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3001−i300001−i3−1+i3−1+i31−i3−1+i3000000000000
χ9544-4-24-4-2000020000-22000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i30000−1−i300001+i3−1−i3000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i30000−1+i300001−i3−1+i3000000000000000
χ9644-4-2-44-20000200002-2000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i30000−1−i30000−1−i31+i3000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i30000−1+i30000−1+i31−i3000000000000000
χ974-40400-44i−4i000000000000000000000000−2−2i32+2i30−2−2i3002+2i34ζ11−4ζ11000000000000000000000000−2+2i32−2i30−2+2i3002−2i34ζ7−4ζ7000000000000000000000000
χ984-40400-4−4i4i000000000000000000000000−2−2i32+2i30−2−2i3002+2i3−4ζ114ζ11000000000000000000000000−2+2i32−2i30−2+2i3002−2i3−4ζ74ζ7000000000000000000000000
χ998-80-400400000000000000000000000000−4−4i34+4i302+2i300−2−2i300000000000000000000000000−4+4i34−4i302−2i300−2+2i300000000000000000000000000

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