Finite Group Databasebeta

← Group #13167626

Character table — Group #13167626

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636
order1222443666121212122222444444444444444444366612123666121212126666121212121212121212121212121212121212366612123666121212126666121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ61111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ71111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ911-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ1011-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i-11-11−ii−ii
χ1111-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii1-1-11i−i−ii11-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii1-1-11i−i−ii11-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii1-1-11i−i−ii
χ1211-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii-111-1−iii−i11-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii-111-1−iii−i11-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii-111-1−iii−i
χ1311-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii1-11-1−ii−ii
χ1411-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−i−iii-111-1−ii11-1-1−i−iii-11-11i−ii−i
χ1511-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i1-1-11−iii−i11-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i1-1-11−iii−i11-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i1-1-11−iii−i
χ1611-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i-111-1i−i−ii11-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i-111-1i−i−ii11-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i-111-1i−i−ii
χ1722222222222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-20000000000000000
χ182222-2-22222-2-2-2-2-2-2-2-22200000000000000002222-2-22222-2-2-2-2-2-2-2-22200000000000000002222-2-22222-2-2-2-2-2-2-2-2220000000000000000
χ1922-2-22i−2i22-2-22i2i−2i−2i2-2-22−2i2i000000000000000022-2-22i−2i22-2-22i2i−2i−2i2-2-22−2i2i000000000000000022-2-22i−2i22-2-22i2i−2i−2i2-2-22−2i2i0000000000000000
χ2022-2-2−2i2i22-2-2−2i−2i2i2i2-2-222i−2i000000000000000022-2-2−2i2i22-2-2−2i−2i2i2i2-2-222i−2i000000000000000022-2-2−2i2i22-2-2−2i−2i2i2i2-2-222i−2i0000000000000000
χ212-22-2002-22-2000022-2-2002-22-20000000000002-22-2002-22-2000022-2-2002-22-20000000000002-22-2002-22-2000022-2-2002-22-2000000000000
χ222-22-2002-22-2000022-2-200-22-220000000000002-22-2002-22-2000022-2-200-22-220000000000002-22-2002-22-2000022-2-200-22-22000000000000
χ232-22-2002-22-20000-2-2220000002-22-2000000002-22-2002-22-20000-2-2220000002-22-2000000002-22-2002-22-20000-2-2220000002-22-200000000
χ242-22-2002-22-20000-2-222000000-22-22000000002-22-2002-22-20000-2-222000000-22-22000000002-22-2002-22-20000-2-222000000-22-2200000000
χ252-2-22002-2-2200002-22-20000002i−2i−2i2i000000002-2-22002-2-2200002-22-20000002i−2i−2i2i000000002-2-22002-2-2200002-22-20000002i−2i−2i2i00000000
χ262-2-22002-2-2200002-22-2000000−2i2i2i−2i000000002-2-22002-2-2200002-22-2000000−2i2i2i−2i000000002-2-22002-2-2200002-22-2000000−2i2i2i−2i00000000
χ272-2-22002-2-220000-22-22002-2-220000000000002-2-22002-2-220000-22-22002-2-220000000000002-2-22002-2-220000-22-22002-2-22000000000000
χ282-2-22002-2-220000-22-2200-222-20000000000002-2-22002-2-220000-22-2200-222-20000000000002-2-22002-2-220000-22-2200-222-2000000000000
χ29888888-1-1-1-1-1-1-1-10000000000000000000000888888-1-1-1-1-1-1-1-10000000000000000000000888888-1-1-1-1-1-1-1-10000000000000000000000
χ308888-8-8-1-1-1-1111100000000000000000000008888-8-8-1-1-1-1111100000000000000000000008888-8-8-1-1-1-111110000000000000000000000
χ3188-8-88i−8i-1-111−i−iii000000000000000000000088-8-88i−8i-1-111−i−iii000000000000000000000088-8-88i−8i-1-111−i−iii0000000000000000000000
χ3288-8-8−8i8i-1-111ii−i−i000000000000000000000088-8-8−8i8i-1-111ii−i−i000000000000000000000088-8-8−8i8i-1-111ii−i−i0000000000000000000000
χ338-88-800-11-113i−3i3i−3i00000000000000000000008-88-800-11-113i−3i3i−3i00000000000000000000008-88-800-11-113i−3i3i−3i0000000000000000000000
χ348-88-800-11-11−3i3i−3i3i00000000000000000000008-88-800-11-11−3i3i−3i3i00000000000000000000008-88-800-11-11−3i3i−3i3i0000000000000000000000
χ358-8-8800-111-13-3-3300000000000000000000008-8-8800-111-13-3-3300000000000000000000008-8-8800-111-13-3-330000000000000000000000
χ368-8-8800-111-1-333-300000000000000000000008-8-8800-111-1-333-300000000000000000000008-8-8800-111-1-333-30000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3911111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−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−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−i321+i321+i32−1−i32−1−i321+i321+i32
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ411111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+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
χ421111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ431111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−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−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+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ441111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i1-11-1i−ii−i−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ4611-1-1i−i11-1-1ii−i−i-111-1i−i11-1-1ii−i−i-11-11−ii−ii−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ4711-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii1-1-11i−i−ii−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ4811-1-1i−i11-1-1ii−i−i-111-1i−i-1-111−i−iii-111-1−iii−i−1+i32−1+i321−i321−i32ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
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χ8711-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i1-1-11−iii−i−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ8811-1-1−ii11-1-1−i−iii-111-1−ii-1-111ii−i−i-111-1i−i−ii−1−i32−1−i321+i321+i32−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
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χ9122-2-22i−2i22-2-22i2i−2i−2i2-2-22−2i2i0000000000000000−1−i3−1−i31+i31+i32ζ11−2ζ11−1−i3−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ11−1−i31+i31+i3−1−i3−2ζ112ζ110000000000000000−1+i3−1+i31−i31−i32ζ7−2ζ7−1+i3−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ7−1+i31−i31−i3−1+i3−2ζ72ζ70000000000000000
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χ932-22-2002-22-2000022-2-2002-22-2000000000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300−1−i31+i3−1−i31+i3000000000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300−1+i31−i3−1+i31−i3000000000000
χ942-22-2002-22-2000022-2-200-22-22000000000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i3001+i3−1−i31+i3−1−i3000000000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i3001−i3−1+i31−i3−1+i3000000000000
χ952-22-2002-22-20000-2-2220000002-22-200000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i3000000−1−i31+i3−1−i31+i300000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i3000000−1+i31−i3−1+i31−i300000000
χ962-22-2002-22-20000-2-222000000-22-2200000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i30000001+i3−1−i31+i3−1−i300000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i30000001−i3−1+i31−i3−1+i300000000
χ972-2-22002-2-2200002-22-20000002i−2i−2i2i00000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i30000002ζ11−2ζ11−2ζ112ζ1100000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i30000002ζ7−2ζ7−2ζ72ζ700000000
χ982-2-22002-2-2200002-22-2000000−2i2i2i−2i00000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3000000−2ζ112ζ112ζ11−2ζ1100000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3000000−2ζ72ζ72ζ7−2ζ700000000
χ992-2-22002-2-220000-22-22002-2-22000000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300−1+i31−i31−i3−1+i3000000000000
χ1002-2-22002-2-220000-22-2200-222-2000000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i3000000000000
χ101888888-1-1-1-1-1-1-1-10000000000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000
χ1028888-8-8-1-1-1-111110000000000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000
χ10388-8-88i−8i-1-111−i−iii0000000000000000000000−4−4i3−4−4i34+4i34+4i38ζ11−8ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ110000000000000000000000−4+4i3−4+4i34−4i34−4i38ζ7−8ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000000000000000000000
χ10488-8-8−8i8i-1-111ii−i−i0000000000000000000000−4−4i3−4−4i34+4i34+4i3−8ζ118ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ110000000000000000000000−4+4i3−4+4i34−4i34−4i3−8ζ78ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000000000000000000000
χ1058-88-800-11-113i−3i3i−3i0000000000000000000000−4−4i34+4i3−4−4i34+4i3001+i32−1−i321+i32−1−i323ζ11−3ζ113ζ11−3ζ110000000000000000000000−4+4i34−4i3−4+4i34−4i3001−i32−1+i321−i32−1+i323ζ7−3ζ73ζ7−3ζ70000000000000000000000
χ1068-88-800-11-11−3i3i−3i3i0000000000000000000000−4−4i34+4i3−4−4i34+4i3001+i32−1−i321+i32−1−i32−3ζ113ζ11−3ζ113ζ110000000000000000000000−4+4i34−4i3−4+4i34−4i3001−i32−1+i321−i32−1+i32−3ζ73ζ7−3ζ73ζ70000000000000000000000
χ1078-8-8800-111-13-3-330000000000000000000000−4−4i34+4i34+4i3−4−4i3001+i32−1−i32−1−i321+i32−3−3i323+3i323+3i32−3−3i320000000000000000000000−4+4i34−4i34−4i3−4+4i3001−i32−1+i32−1+i321−i32−3+3i323−3i323−3i32−3+3i320000000000000000000000
χ1088-8-8800-111-1-333-30000000000000000000000−4−4i34+4i34+4i3−4−4i3001+i32−1−i32−1−i321+i323+3i32−3−3i32−3−3i323+3i320000000000000000000000−4+4i34−4i34−4i3−4+4i3001−i32−1+i32−1+i321−i323−3i32−3+3i32−3+3i323−3i320000000000000000000000

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