Finite Group Databasebeta

← Group #13136923

Character table — Group #13136923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order123344661212121224661212882424242422446666121212123366121212122444444444661212121212121212121212121212121212126612122424242424242424444488121212121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1
χ5111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111
χ91111-1-111-1-1-1-1-11-1-111i−iii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111iiii−i−i−i−i1-11-1i−i11-1-111-1-1ii−i−i
χ101111-1-111-1-1-1-1-11-1-111i−iii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−i-11-11i−i-1-111-1-111ii−i−i
χ111111-1-111-1-1-1-1-11-1-111i−iii−i−i-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−iii−i−ii−i−iiiii−i−i−i−iii
χ121111-1-111-1-1-1-1-11-1-111i−iii−i−i-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii
χ131111-1-111-1-1-1-1-11-1-111−ii−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii-11-11−ii-1-111-1-111−i−iii
χ141111-1-111-1-1-1-1-11-1-111−ii−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111−i−i−i−iiiii1-11-1−ii11-1-111-1-1−i−iii
χ151111-1-111-1-1-1-1-11-1-111−ii−i−iii-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiii−i−iii−iii−i−i−i−iiiii−i−i
χ161111-1-111-1-1-1-1-11-1-111−ii−i−iii-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i
χ17222222222222-2-2-2-2-2-200000022222222222222222222-2-200000000-2-2-2-20000000000000000-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-2-2-2000000-2-2-2-2-2-2-2-2-2-2-2-222222222220000000022220000000000000000-2-2-2-200000000000000000000000000
χ192222-2-222-2-2-2-22-222-2-200000022-2-22222-2-2-2-22222-2-2-2-22-20000000022-2-2000000000000000022-2-200000000000000000000000000
χ202222-2-222-2-2-2-22-222-2-2000000-2-222-2-2-2-222222222-2-2-2-2-2200000000-2-222000000000000000022-2-200000000000000000000000000
χ212-2222i−2i-2-22i2i−2i−2i0000000000002-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000000000
χ222-2222i−2i-2-22i2i−2i−2i0000000000002-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000000000
χ232-2222i−2i-2-22i2i−2i−2i000000000000-22−2i2i-2-222−2i−2i2i2i22-2-22i2i−2i−2i001−i−1+i−1−i1+i−1+i1−i1+i−1−i00001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i000000000000000000000000000000
χ242-2222i−2i-2-22i2i−2i−2i000000000000-22−2i2i-2-222−2i−2i2i2i22-2-22i2i−2i−2i00−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i000000000000000000000000000000
χ252-222−2i2i-2-2−2i−2i2i2i0000000000002-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i00001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000000000
χ262-222−2i2i-2-2−2i−2i2i2i0000000000002-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000000000
χ272-222−2i2i-2-2−2i−2i2i2i000000000000-222i−2i-2-2222i2i−2i−2i22-2-2−2i−2i2i2i001+i−1−i−1+i1−i−1−i1+i1−i−1+i00001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i000000000000000000000000000000
χ282-222−2i2i-2-2−2i−2i2i2i000000000000-222i−2i-2-2222i2i−2i−2i22-2-2−2i−2i2i2i00−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i000000000000000000000000000000
χ2933−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11000000000000ii−i−i11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−1−i32−1+i32−1−i32−1+i32
χ3033−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11000000000000−i−iii11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−1−i32−1+i32−1−i32−1+i32
χ3133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i320000000000001111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321+i321−i321+i321−i32
χ3233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321+i321−i32
χ3333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11000000000000−i−iii-1-1−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ111+i321−i321+i321−i32
χ3433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11000000000000ii−i−i-1-1ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ111+i321−i321+i321−i32
χ3533−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i32000000000000-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32
χ3633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32
χ3733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ113ζ7−3ζ11−3ζ711-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-1111-1-1-1-1111+i321−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−i32000000000000−iii−ii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ11ζ7−ζ11−ζ7
χ3833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ113ζ7−3ζ11−3ζ711-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-11-1-11111-1-11+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−i321−i321+i321−i321+i32000000000000i−i−iii−iζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ11ζ7−ζ11−ζ7
χ3933−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ113ζ7−3ζ11−3ζ7-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1ii−i−iii−i−i−1−i32−1+i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ110000000000001-11-1−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ11−ζ7ζ11ζ7
χ4033−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ113ζ7−3ζ11−3ζ7-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−i−iii−i−iii−1−i32−1+i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11000000000000-11-11−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ11−ζ7ζ11ζ7
χ4133−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ11−3ζ73ζ113ζ711-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-1111-1-1-1-1111+i321−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−i32000000000000i−i−ii−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ11−ζ7ζ11ζ7
χ4233−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ11−3ζ73ζ113ζ711-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-11-1-11111-1-11+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−i321−i321+i321−i321+i32000000000000−iii−i−ii−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ11−ζ7ζ11ζ7
χ4333−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ11−3ζ73ζ113ζ7-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1ii−i−iii−i−i−1−i32−1+i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11000000000000-11-11i−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ11ζ7−ζ11−ζ7
χ4433−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ11−3ζ73ζ113ζ7-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−i−iii−i−iii−1−i32−1+i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ110000000000001-11-1i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ11ζ7−ζ11−ζ7
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χ956-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11000000000000-22−2i2i1−i31+i3−1+i3−1−i3−2ζ7−2ζ112ζ72ζ1100000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000000000000000000000000000
χ966-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11000000000000-22−2i2i1−i31+i3−1+i3−1−i3−2ζ7−2ζ112ζ72ζ110000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000000000000000000000000000
χ976-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ110000000000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ7−2ζ112ζ72ζ1100000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000000000000000000000000000
χ986-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ110000000000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ7−2ζ112ζ72ζ110000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000000000000000000000000000
χ996-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11000000000000-222i−2i1−i31+i3−1+i3−1−i32ζ72ζ11−2ζ7−2ζ1100000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10000000000000000000000000000000
χ1006-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11000000000000-222i−2i1−i31+i3−1+i3−1−i32ζ72ζ11−2ζ7−2ζ110000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10000000000000000000000000000000
χ1018-8888i−8i-8-88i8i−8i−8i0000000000000000000000002-4-242i−4i−2i4i000000000000000000000000000000000000000000000000000000000000
χ1028-8888i−8i-8-88i8i−8i−8i000000000000000000000000-424-2−4i2i4i−2i000000000000000000000000000000000000000000000000000000000000
χ1038-888−8i8i-8-8−8i−8i8i8i0000000000000000000000002-4-24−2i4i2i−4i000000000000000000000000000000000000000000000000000000000000
χ1048-888−8i8i-8-8−8i−8i8i8i000000000000000000000000-424-24i−2i−4i2i000000000000000000000000000000000000000000000000000000000000

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