Finite Group Databasebeta

← Group #13147361

Character table — Group #13147361

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111112222222224444449999991212121212121212181818181818181818242424242424242424242424363636363636363636363636363636363636363636363636363636363636
order123366244661212121288242424242266663366121212122446612121212661212242424242424242444444444881212121212121212121212121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111111i−iiii−i−i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111111−ii−i−i−iiii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1
χ5111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i−i−iii11ii−i−iii−i−i−i−i−i−iiiii1111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−iiii−i−i11−i−iii−i−iiiiiii−i−i−i−i1111
χ9111111-1-11-1-1-1-1111-111-1-111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11-11-11111-1-111-1-1-1-111-1-111-1-1
χ10111111-1-11-1-1-1-1111-111-1-111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-111-1-1-1-1-111-1-11111-1-11111-1-1
χ11111111-1-11-1-1-1-1111-111-1-1-1-1-1-1-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-1i−i−ii−ii−ii-11ii−i−i−i−iii−i−iii−i−iii-1-111
χ12111111-1-11-1-1-1-1111-111-1-1-1-1-1-1-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-1−iii−ii−ii−i-11−i−iiiii−i−iii−i−iii−i−i-1-111
χ13111111-1-11-1-1-1-111-11-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-111111-1-1-1-111-1-1-1-111-1-111
χ14111111-1-11-1-1-1-111-11-1-11111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-11111-1-11111-1-1-1-111
χ15111111-1-11-1-1-1-111-11-1-111-1-1-1-1-1-1111111111-1111-1-111-1-1-1-1-1-1-1-11111i−i−i−iiii−i1-1ii−i−i−i−i−i−iiiiiii−i−i11-1-1
χ16111111-1-11-1-1-1-111-11-1-111-1-1-1-1-1-1111111111-1111-1-111-1-1-1-1-1-1-1-11111−iiii−i−i−ii1-1−i−iiiiiii−i−i−i−i−i−iii11-1-1
χ172222222-2-222-2-2-2-20000002222222222-2-2-2-22-2-222-2-2-2-222-2-200000000000000000000000000000000000000
χ182222222-2-222-2-2-2-2000000-2-2-2-2-2-22222-2-2-2-2-222-2-2222222-2-200000000000000000000000000000000000000
χ19222222-22-2-2-222-2-20000002222222222-2-2-2-2-2-22-2-2-2-222-2-22200000000000000000000000000000000000000
χ20222222-22-2-2-222-2-2000000-2-2-2-2-2-22222-2-2-2-222-22222-2-2-2-22200000000000000000000000000000000000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000i−iiii−i−i−i11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−1−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+3i3233−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000−ii−i−i−iiii11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−1−i32−1+i32−1−i32−1+i32
χ2333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-11+i321−i321+i321−i321+i321−i3200000000000011111111-1-1−1+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−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+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321+i321−i32
χ2533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000i−ii−i−i−iii-1-1ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ111+i321−i321+i321−i32
χ2633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000−ii−iiii−i−i-1-1−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ111+i321−i321+i321−i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i3200000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000111-1-11-1-111−1+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
χ2833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i3200000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000-1-1-111-111111−i321+i321−i321+i321−i321+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
χ2933−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11+i321−i32−1−i32−1+i321+i321−i32000000000000i−i−ii−ii−ii1-1ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−1−i32−1+i321+i321−i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11+i321−i32−1−i32−1+i321+i321−i32000000000000−iii−ii−ii−i1-1−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−1−i32−1+i321+i321−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i32000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i3200000000000011-11-1-11-1-11−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321+i321−i32−1−i32−1+i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i32000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i32000000000000-1-11-111-11-111−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321+i321−i32−1−i32−1+i32
χ3333−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11+i321−i32−1−i32−1+i321+i321−i32000000000000i−i−i−iiii−i-11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ111+i321−i32−1−i32−1+i32
χ3433−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11+i321−i32−1−i32−1+i321+i321−i32000000000000−iiii−i−i−ii-11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ111+i321−i32−1−i32−1+i32
χ3533−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i3200000000000011-1-11-1-111-1−1+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+i321+i321−i32
χ3633−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i32000000000000-1-111-111-11-11−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+i321+i321−i32
χ3733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000i−iiii−i−i−i11ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−1+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+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000−ii−i−i−iiii11−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−1+i32−1−i32−1+i32−1−i32
χ3933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-11−i321+i321−i321+i321−i321+i3200000000000011111111-1-1−1−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+i321−i321+i321−i321+i32
χ4033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321−i321+i321−i321+i32
χ4133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000i−ii−i−i−iii-1-1ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ71−i321+i321−i321+i32
χ4233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000−ii−iiii−i−i-1-1−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ71−i321+i321−i321+i32
χ4333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i3200000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000111-1-11-1-111−1−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
χ4433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i3200000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000-1-1-111-111111+i321−i321+i321−i321+i321−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
χ4533−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11−i321+i32−1+i32−1−i321−i321+i32000000000000i−i−ii−ii−ii1-1ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−1+i32−1−i321−i321+i32
χ4633−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11−i321+i32−1+i32−1−i321−i321+i32000000000000−iii−ii−ii−i1-1−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−1+i32−1−i321−i321+i32
χ4733−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-1-11−i321+i321−i321+i32000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i3200000000000011-11-1-11-1-11−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321−i321+i32−1+i32−1−i32
χ4833−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i32-1-11−i321+i321−i321+i32000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i32000000000000-1-11-111-11-111+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321−i321+i32−1+i32−1−i32
χ4933−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11−i321+i32−1+i32−1−i321−i321+i32000000000000i−i−i−iiii−i-11ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ71−i321+i32−1+i32−1−i32
χ5033−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11−i321+i32−1+i32−1−i321−i321+i32000000000000−iiii−i−i−ii-11−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ71−i321+i32−1+i32−1−i32
χ5133−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i3200000000000011-1-11-1-111-1−1−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−i321−i321+i32
χ5233−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i32000000000000-1-111-111-11-11+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−i321−i321+i32
χ534444444444444444444440000001-21-211-2-20000000001-21-211-2-211-2-2000000000000000000000000000000
χ54444444444444444444444000000-21-21-2-211000000000-21-21-2-211-2-211000000000000000000000000000000
χ55444444444444444-4-4-4-4-4-40000001-21-211-2-20000000001-21-2-1-122-1-122000000000000000000000000000000
χ56444444444444444-4-4-4-4-4-4000000-21-21-2-211000000000-21-2122-1-122-1-1000000000000000000000000000000
χ574444444-4-444-4-4-4-40000000000001-21-2-1-1220000000001-2-123i−3i003i−3i00000000000000000000000000000000
χ584444444-4-444-4-4-4-40000000000001-21-2-1-1220000000001-2-12−3i3i00−3i3i00000000000000000000000000000000
χ594444444-4-444-4-4-4-4000000000000-21-2122-1-1000000000-212-1003i−3i003i−3i000000000000000000000000000000
χ604444444-4-444-4-4-4-4000000000000-21-2122-1-1000000000-212-100−3i3i00−3i3i000000000000000000000000000000
χ61444444-44-4-4-444-4-40000000000001-21-2-1-122000000000-121-23i−3i00−3i3i00000000000000000000000000000000
χ62444444-44-4-4-444-4-40000000000001-21-2-1-122000000000-121-2−3i3i003i−3i00000000000000000000000000000000
χ63444444-44-4-4-444-4-4000000000000-21-2122-1-10000000002-1-21003i−3i00−3i3i000000000000000000000000000000
χ64444444-44-4-4-444-4-4000000000000-21-2122-1-10000000002-1-2100−3i3i003i−3i000000000000000000000000000000
χ65444444-4-44-4-4-4-4444-444-4-40000001-21-211-2-2000000000-12-1211-2-2-1-122000000000000000000000000000000
χ66444444-4-44-4-4-4-4444-444-4-4000000-21-21-2-2110000000002-12-1-2-21122-1-1000000000000000000000000000000
χ67444444-4-44-4-4-4-444-44-4-4440000001-21-211-2-2000000000-12-12-1-12211-2-2000000000000000000000000000000
χ68444444-4-44-4-4-4-444-44-4-444000000-21-21-2-2110000000002-12-122-1-1-2-211000000000000000000000000000000
χ694-444-4-40000000000000004-444-4-444-4-40000000000000000000000000000000000000000000000000000000
χ704-444-4-4000000000000000-44-4-44444-4-40000000000000000000000000000000000000000000000000000000
χ7166−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i300000022−1−i3−1+i3−1−i3−1+i3000000002-2-2−1−i3−1+i31+i31−i31+i31−i3000000000000000000000000000000000000000000
χ7266−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000-2-21+i31−i31+i31−i300000000-2221+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000000000000
χ7366−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i300000022−1−i3−1+i3−1−i3−1+i300000000-2-221+i31−i31+i31−i3−1−i3−1+i3000000000000000000000000000000000000000000
χ7466−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000-2-21+i31−i31+i31−i30000000022-2−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000
χ7566−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i300000022−1+i3−1−i3−1+i3−1−i3000000002-2-2−1+i3−1−i31−i31+i31−i31+i3000000000000000000000000000000000000000000
χ7666−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000-2-21−i31+i31−i31+i300000000-2221−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000000000
χ7766−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i300000022−1+i3−1−i3−1+i3−1−i300000000-2-221−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000000000000000000000
χ7866−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000-2-21−i31+i31−i31+i30000000022-2−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000
χ798-888-8-80000000000000000000002-4-246i−6i00000000000000000000000000000000000000000000000000000
χ808-888-8-80000000000000000000002-4-24−6i6i00000000000000000000000000000000000000000000000000000
χ818-888-8-8000000000000000000000-424-2006i−6i000000000000000000000000000000000000000000000000000
χ828-888-8-8000000000000000000000-424-200−6i6i000000000000000000000000000000000000000000000000000
χ8312-12−6−6i3−6+6i36+6i36−6i30000000000000004-4−2−2i3−2+2i32+2i32−2i300000000000000000000000000000000000000000000000000000000000
χ8412-12−6−6i3−6+6i36+6i36−6i3000000000000000-442+2i32−2i3−2−2i3−2+2i300000000000000000000000000000000000000000000000000000000000
χ8512-12−6+6i3−6−6i36−6i36+6i30000000000000004-4−2+2i3−2−2i32−2i32+2i300000000000000000000000000000000000000000000000000000000000
χ8612-12−6+6i3−6−6i36−6i36+6i3000000000000000-442−2i32+2i3−2+2i3−2−2i300000000000000000000000000000000000000000000000000000000000

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