Finite Group Databasebeta

← Group #13173247

Character table — Group #13173247

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444444444888888888888991818183636363636363636363611222444444444488888888888899181818363636363636363636361122244444444448888888888889918181836363636363636363636
order1224433668812121212661212242424242424242444224888888888836612123366242412121212661212242424242424242412126612242424242424242424243661212336624241212121266121224242424242424241212661224242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111111111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111111111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ6111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111
χ7111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-11-11-11-11-111-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-11-11-11-11-111-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-11-11-11-11-1
χ1011-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11-11-11-1111-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11-11-11-1111-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11-11-11-11
χ1111-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11i−ii−i−ii−ii11-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11i−ii−i−ii−ii11-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11i−ii−i−ii−ii
χ1211-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11−ii−iii−ii−i11-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11−ii−iii−ii−i11-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11−ii−iii−ii−i
χ1311-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1111-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1111-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-11
χ1411-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-11-111-1-111-111-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-11-111-1-111-111-1-111111-111111-1-1-1-1-1-1-1-11111111-1-1-11-111-1-111-1
χ1511-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1i−i−ii−iii−i11-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1i−i−ii−iii−i11-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1i−i−ii−iii−i
χ1611-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1−iii−ii−i−ii11-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1−iii−ii−i−ii11-1-111111-111111-1-1-1-1-1-1-1-11111-1-1-1111-1−iii−ii−i−ii
χ17222-2-2222200-2-2-2-222-2-20000000022-2-220000000000222-2-2222200-2-2-2-222-2-20000000022-2-220000000000222-2-2222200-2-2-2-222-2-20000000022-2-220000000000
χ18222-2-2222200-2-2-2-222-2-200000000-2-222-20000000000222-2-2222200-2-2-2-222-2-200000000-2-222-20000000000222-2-2222200-2-2-2-222-2-200000000-2-222-20000000000
χ1922-22-2222200-2-2-2-2-2-2220000000022-22-2000000000022-22-2222200-2-2-2-2-2-2220000000022-22-2000000000022-22-2222200-2-2-2-2-2-2220000000022-22-20000000000
χ2022-22-2222200-2-2-2-2-2-22200000000-2-22-22000000000022-22-2222200-2-2-2-2-2-22200000000-2-22-22000000000022-22-2222200-2-2-2-2-2-22200000000-2-22-220000000000
χ21444441-21-24411-2-21-21-211-2-211-2-2000000000000000444441-21-24411-2-21-21-211-2-211-2-2000000000000000444441-21-24411-2-21-21-211-2-211-2-2000000000000000
χ22444441-21-2-4-411-2-21-21-2-1-122-1-122000000000000000444441-21-2-4-411-2-21-21-2-1-122-1-122000000000000000444441-21-2-4-411-2-21-21-2-1-122-1-122000000000000000
χ2344444-21-2144-2-211-21-21-2-211-2-21100000000000000044444-21-2144-2-211-21-21-2-211-2-21100000000000000044444-21-2144-2-211-21-21-2-211-2-211000000000000000
χ2444444-21-21-4-4-2-211-21-2122-1-122-1-100000000000000044444-21-21-4-4-2-211-21-2122-1-122-1-100000000000000044444-21-21-4-4-2-211-21-2122-1-122-1-1000000000000000
χ25444-4-41-21-200-1-1221-2-123i−3i003i−3i00000000000000000444-4-41-21-200-1-1221-2-123i−3i003i−3i00000000000000000444-4-41-21-200-1-1221-2-123i−3i003i−3i00000000000000000
χ26444-4-41-21-200-1-1221-2-12−3i3i00−3i3i00000000000000000444-4-41-21-200-1-1221-2-12−3i3i00−3i3i00000000000000000444-4-41-21-200-1-1221-2-12−3i3i00−3i3i00000000000000000
χ27444-4-4-21-210022-1-1-212-1003i−3i003i−3i000000000000000444-4-4-21-210022-1-1-212-1003i−3i003i−3i000000000000000444-4-4-21-210022-1-1-212-1003i−3i003i−3i000000000000000
χ28444-4-4-21-210022-1-1-212-100−3i3i00−3i3i000000000000000444-4-4-21-210022-1-1-212-100−3i3i00−3i3i000000000000000444-4-4-21-210022-1-1-212-100−3i3i00−3i3i000000000000000
χ2944-44-41-21-200-1-122-121-23i−3i00−3i3i0000000000000000044-44-41-21-200-1-122-121-23i−3i00−3i3i0000000000000000044-44-41-21-200-1-122-121-23i−3i00−3i3i00000000000000000
χ3044-44-41-21-200-1-122-121-2−3i3i003i−3i0000000000000000044-44-41-21-200-1-122-121-2−3i3i003i−3i0000000000000000044-44-41-21-200-1-122-121-2−3i3i003i−3i00000000000000000
χ3144-44-4-21-210022-1-12-1-21003i−3i00−3i3i00000000000000044-44-4-21-210022-1-12-1-21003i−3i00−3i3i00000000000000044-44-4-21-210022-1-12-1-21003i−3i00−3i3i000000000000000
χ3244-44-4-21-210022-1-12-1-2100−3i3i003i−3i00000000000000044-44-4-21-210022-1-12-1-2100−3i3i003i−3i00000000000000044-44-4-21-210022-1-12-1-2100−3i3i003i−3i000000000000000
χ3344-4-441-21-24-411-2-2-12-1211-2-2-1-12200000000000000044-4-441-21-24-411-2-2-12-1211-2-2-1-12200000000000000044-4-441-21-24-411-2-2-12-1211-2-2-1-122000000000000000
χ3444-4-441-21-2-4411-2-2-12-12-1-12211-2-200000000000000044-4-441-21-2-4411-2-2-12-12-1-12211-2-200000000000000044-4-441-21-2-4411-2-2-12-12-1-12211-2-2000000000000000
χ3544-4-44-21-214-4-2-2112-12-1-2-21122-1-100000000000000044-4-44-21-214-4-2-2112-12-1-2-21122-1-100000000000000044-4-44-21-214-4-2-2112-12-1-2-21122-1-1000000000000000
χ3644-4-44-21-21-44-2-2112-12-122-1-1-2-21100000000000000044-4-44-21-21-44-2-2112-12-122-1-1-2-21100000000000000044-4-44-21-21-44-2-2112-12-122-1-1-2-211000000000000000
χ374-400044-4-40000000000000000004i−4i00000000000004-400044-4-40000000000000000004i−4i00000000000004-400044-4-40000000000000000004i−4i0000000000000
χ384-400044-4-4000000000000000000−4i4i00000000000004-400044-4-4000000000000000000−4i4i00000000000004-400044-4-4000000000000000000−4i4i0000000000000
χ398-80002-4-24006i−6i000000000000000000000000000008-80002-4-24006i−6i000000000000000000000000000008-80002-4-24006i−6i00000000000000000000000000000
χ408-80002-4-2400−6i6i000000000000000000000000000008-80002-4-2400−6i6i000000000000000000000000000008-80002-4-2400−6i6i00000000000000000000000000000
χ418-8000-424-200006i−6i0000000000000000000000000008-8000-424-200006i−6i0000000000000000000000000008-8000-424-200006i−6i000000000000000000000000000
χ428-8000-424-20000−6i6i0000000000000000000000000008-8000-424-20000−6i6i0000000000000000000000000008-8000-424-20000−6i6i000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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
χ45111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11
χ46111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11
χ47111111111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+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+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+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ48111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ49111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ50111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ5111-1-1111111-11111-1-1-1-11111-1-1-1-1111-1-11-11-11-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
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χ9611-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-111-11−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
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χ10422-22-2222200-2-2-2-2-2-22200000000-2-22-220000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000001+i31+i3−1−i31+i3−1−i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000001−i31−i3−1+i31−i3−1+i30000000000
χ105444441-21-24411-2-21-21-211-2-211-2-2000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i3−2−2i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i3−2+2i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3000000000000000
χ106444441-21-2-4-411-2-21-21-2-1-122-1-122000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i32+2i32+2i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i3000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i32−2i32−2i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i3000000000000000
χ10744444-21-2144-2-211-21-21-2-211-2-211000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i3−2−2i31+i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i3−2+2i31−i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32000000000000000
χ10844444-21-21-4-4-2-211-21-2122-1-122-1-1000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i322+2i32+2i31+i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i322−2i32−2i31−i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32000000000000000
χ109444-4-41-21-200-1-1221-2-123i−3i003i−3i00000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3001+i321+i32−1−i3−1−i3−1−i321+i31+i32−1−i33ζ11−3ζ11003ζ11−3ζ1100000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3001−i321−i32−1+i3−1+i3−1+i321−i31−i32−1+i33ζ7−3ζ7003ζ7−3ζ700000000000000000
χ110444-4-41-21-200-1-1221-2-12−3i3i00−3i3i00000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3001+i321+i32−1−i3−1−i3−1−i321+i31+i32−1−i3−3ζ113ζ1100−3ζ113ζ1100000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3001−i321−i32−1+i3−1+i3−1+i321−i31−i32−1+i3−3ζ73ζ700−3ζ73ζ700000000000000000
χ111444-4-4-21-210022-1-1-212-1003i−3i003i−3i000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i3200−1−i3−1−i31+i321+i321+i3−1−i32−1−i31+i32003ζ11−3ζ11003ζ11−3ζ11000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i3200−1+i3−1+i31−i321−i321−i3−1+i32−1+i31−i32003ζ7−3ζ7003ζ7−3ζ7000000000000000
χ112444-4-4-21-210022-1-1-212-100−3i3i00−3i3i000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i3200−1−i3−1−i31+i321+i321+i3−1−i32−1−i31+i3200−3ζ113ζ1100−3ζ113ζ11000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i3200−1+i3−1+i31−i321−i321−i3−1+i32−1+i31−i3200−3ζ73ζ700−3ζ73ζ7000000000000000
χ11344-44-41-21-200-1-122-121-23i−3i00−3i3i00000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i3001+i321+i32−1−i3−1−i31+i32−1−i3−1−i321+i33ζ11−3ζ1100−3ζ113ζ1100000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i3001−i321−i32−1+i3−1+i31−i32−1+i3−1+i321−i33ζ7−3ζ700−3ζ73ζ700000000000000000
χ11444-44-41-21-200-1-122-121-2−3i3i003i−3i00000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i3001+i321+i32−1−i3−1−i31+i32−1−i3−1−i321+i3−3ζ113ζ11003ζ11−3ζ1100000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i3001−i321−i32−1+i3−1+i31−i32−1+i3−1+i321−i3−3ζ73ζ7003ζ7−3ζ700000000000000000
χ11544-44-4-21-210022-1-12-1-21003i−3i00−3i3i000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i3200−1−i3−1−i31+i321+i32−1−i31+i321+i3−1−i32003ζ11−3ζ1100−3ζ113ζ11000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i3200−1+i3−1+i31−i321−i32−1+i31−i321−i3−1+i32003ζ7−3ζ700−3ζ73ζ7000000000000000
χ11644-44-4-21-210022-1-12-1-2100−3i3i003i−3i000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i3200−1−i3−1−i31+i321+i32−1−i31+i321+i3−1−i3200−3ζ113ζ11003ζ11−3ζ11000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i3200−1+i3−1+i31−i321−i32−1+i31−i321−i3−1+i3200−3ζ73ζ7003ζ7−3ζ7000000000000000
χ11744-4-441-21-24-411-2-2-12-1211-2-2-1-122000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i32+2i3−1−i32−1−i321+i31+i31+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i32−2i3−1+i32−1+i321−i31−i31−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3000000000000000
χ11844-4-441-21-2-4411-2-2-12-12-1-12211-2-2000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i32+2i3−2−2i3−1−i32−1−i321+i31+i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i3000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i32−2i3−2+2i3−1+i32−1+i321−i31−i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i3000000000000000
χ11944-4-44-21-214-4-2-2112-12-1-2-21122-1-1000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i32+2i31+i31+i3−1−i32−1−i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i32−2i31−i31−i3−1+i32−1+i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32000000000000000
χ12044-4-44-21-21-44-2-2112-12-122-1-1-2-211000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i322+2i3−2−2i31+i31+i3−1−i32−1−i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i322−2i3−2+2i31−i31−i3−1+i32−1+i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32000000000000000
χ1214-400044-4-40000000000000000004i−4i0000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i30000000000000000004ζ11−4ζ110000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i30000000000000000004ζ7−4ζ70000000000000
χ1224-400044-4-4000000000000000000−4i4i0000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i3000000000000000000−4ζ114ζ110000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i3000000000000000000−4ζ74ζ70000000000000
χ1238-80002-4-24006i−6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3006ζ11−6ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3006ζ7−6ζ700000000000000000000000000000
χ1248-80002-4-2400−6i6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i300−6ζ116ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i300−6ζ76ζ700000000000000000000000000000
χ1258-8000-424-200006i−6i000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i300006ζ11−6ζ11000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i300006ζ7−6ζ7000000000000000000000000000
χ1268-8000-424-20000−6i6i000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i30000−6ζ116ζ11000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i30000−6ζ76ζ7000000000000000000000000000

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