Finite Group Databasebeta

← Group #13136735

Character table — Group #13136735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1111112222222229999991818181818181818182424242424242424363636363636363636363636363636363636363636363636363636363636363636363636
order1233662446612121212441212121222466661212366612121212444488888888121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-11-1-1-111-1-11111111-1-111-1-1-1-11-1-1111-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ10111111-11-1-1-111-1-11111111-1-111-1-1-1-11-1-1111-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ11111111-11-1-1-111-1-11111111-1-111-1-1-1-11-1-1111-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ12111111-11-1-1-111-1-11111111-1-111-1-1-1-11-1-1111-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ13111111-1-11-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-11-1-111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ14111111-1-11-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-11-1-111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ15111111-1-11-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-11-1-111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ16111111-1-11-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-11-1-111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ17222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ182222222-2-222-2-2-2-2222222-2-22-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000
χ19222222-22-2-2-222-2-2-2-2-2-2-2-2-222-2-222222-2-2222-2-2000000000000000000000000000000000000
χ20222222-2-22-2-2-2-222222222-22-2-2-222-2-22-2-22-2-222000000000000000000000000000000000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i3200000000111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32000000001111-1-1-1-1-1-1-1-1−1−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+i321−i321+i321−i32
χ2333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i3200000000-1-1-1-11111-1-1-1-11+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−i321+i321−i321+i321−i321+i321−i32
χ2433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−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
χ2533−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i320000000011-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ2633−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i320000000011-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ2733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i3200000000-1-111ii−i−i−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ2833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i3200000000-1-111−i−iiiii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ2933−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i3200000000i−ii−i1-11-1i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ3033−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i3200000000i−ii−i-11-11−ii−iiζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ3133−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i3200000000−ii−ii1-11-1−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ3233−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i3200000000−ii−ii-11-11i−ii−i−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ3333−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i3200000000i−i−iii−i−ii-111-1ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3433−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i3200000000i−i−ii−iii−i1-1-11ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ3533−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i3200000000−iii−ii−i−ii1-1-11−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ3633−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i3200000000−iii−i−iii−i-111-1−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i3200000000111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32000000001111-1-1-1-1-1-1-1-1−1+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−i321+i321−i321+i32
χ3933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i3200000000-1-1-1-11111-1-1-1-11−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+i321−i321+i321−i321+i321−i321+i32
χ4033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i3200000000-1-1-1-1-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+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
χ4133−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i320000000011-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ4233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i320000000011-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ4333−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i3200000000-1-111ii−i−i−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ4433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i3200000000-1-111−i−iiiii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ4533−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i3200000000i−ii−i1-11-1i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ4633−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i3200000000i−ii−i-11-11−ii−iiζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ4733−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i3200000000−ii−ii1-11-1−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ4833−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i3200000000−ii−ii-11-11i−ii−i−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ4933−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3200000000i−i−iii−i−ii-111-1ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ5033−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3200000000i−i−ii−iii−i1-1-11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ5133−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3200000000−iii−ii−i−ii1-1-11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ5233−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3200000000−iii−i−iii−i-111-1−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ534-444-4-40000000004i−4i4i−4i4i−4i000000000400-40000000000000000000000000000000000000000
χ544-444-4-4000000000−4i4i−4i4i−4i4i000000000400-40000000000000000000000000000000000000000
χ5566−3−3i3−3+3i3−3−3i3−3+3i3666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i322−1−i3−1−i3−1+i3−1+i3222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000000000000000000000000000000000000000
χ5666−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3-2-21+i31+i31−i31−i322-2−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000000000000000000000000000
χ5766−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i322−1−i3−1−i3−1+i3−1+i32-2-2−1−i3−1+i31+i31−i31+i31−i300000000000000000000000000000000000000000000
χ5866−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i3-2-21+i31+i31−i31−i32-22−1−i3−1+i31+i31−i3−1−i3−1+i300000000000000000000000000000000000000000000
χ5966−3+3i3−3−3i3−3+3i3−3−3i3666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i322−1+i3−1+i3−1−i3−1−i3222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300000000000000000000000000000000000000000000
χ6066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3-2-21−i31−i31+i31+i322-2−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000000000000000000000000000000
χ6166−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i322−1+i3−1+i3−1−i3−1−i32-2-2−1+i3−1−i31−i31+i31−i31+i300000000000000000000000000000000000000000000
χ6266−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i3-2-21−i31−i31+i31+i32-22−1+i3−1−i31−i31+i3−1+i3−1−i300000000000000000000000000000000000000000000
χ63888888888888888000000000000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ648888888-8-888-8-8-8-8000000000000000-1-1-1-11111000000000000000000000000000000000000
χ65888888-88-8-8-888-8-8000000000000000-111-1-1-111000000000000000000000000000000000000
χ66888888-8-88-8-8-8-888000000000000000-111-111-1-1000000000000000000000000000000000000
χ678-888-8-8000000000000000000000000-13-313i−3i3i−3i000000000000000000000000000000000000
χ688-888-8-8000000000000000000000000-13-31−3i3i−3i3i000000000000000000000000000000000000
χ698-888-8-8000000000000000000000000-1-3313i−3i−3i3i000000000000000000000000000000000000
χ708-888-8-8000000000000000000000000-1-331−3i3i3i−3i000000000000000000000000000000000000
χ7112-12−6−6i3−6+6i36+6i36−6i30000000004i−4i4ζ11−4ζ114ζ7−4ζ700000000000000000000000000000000000000000000000000000
χ7212-12−6−6i3−6+6i36+6i36−6i3000000000−4i4i−4ζ114ζ11−4ζ74ζ700000000000000000000000000000000000000000000000000000
χ7312-12−6+6i3−6−6i36−6i36+6i30000000004i−4i4ζ7−4ζ74ζ11−4ζ1100000000000000000000000000000000000000000000000000000
χ7412-12−6+6i3−6−6i36−6i36+6i3000000000−4i4i−4ζ74ζ7−4ζ114ζ1100000000000000000000000000000000000000000000000000000

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