Finite Group Databasebeta

← Group #11722448

Character table — Group #11722448

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11111111111122222299999999999912121212121212121212121212121212181818181818181818181818181818181818181818181818181818181818
order1233446612121212246612122244666612121212336666661212121212121212244444444466121212121212121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-111-1-1-1-11-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1-1-11-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-11-11-1111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-111-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-111-1-111-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1i−i−ii−iii−i11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1−iii−ii−i−ii11-1-1−i−iiiii−i−iii−i−i−i−iii
χ172-2222i−2i-2-22i2i−2i−2i0000002-22i−2i22-2-22i2i−2i−2i220000-2-22i2i−2i−2i0000000000000000000000000000000000
χ182-2222i−2i-2-22i2i−2i−2i000000-22−2i2i-2-222−2i−2i2i2i220000-2-22i2i−2i−2i0000000000000000000000000000000000
χ192-222−2i2i-2-2−2i−2i2i2i0000002-2−2i2i22-2-2−2i−2i2i2i220000-2-2−2i−2i2i2i0000000000000000000000000000000000
χ202-222−2i2i-2-2−2i−2i2i2i000000-222i−2i-2-2222i2i−2i−2i220000-2-2−2i−2i2i2i0000000000000000000000000000000000
χ2133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+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+i32000000000000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11
χ2233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+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+i32000000000000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11
χ2333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000000000000-1-1111111111+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−i32
χ2433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000000000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ2533−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+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+i320000000000000000-1-1ii−i−i−i−iii1+i321−i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ2633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+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+i320000000000000000-1-1−i−iiiii−i−i1+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ2733−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000000000001111-1-111-1-1−1−i32−1+i32−1−i32−1+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
χ2833−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000000000011-1-111-1-111−1−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−i32
χ2933−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000001-1i−ii−i−ii−ii−1−i32−1+i321+i321−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ3033−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000001-1−ii−iii−ii−i−1−i32−1+i321+i321−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ3133−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i320000000000000000-111-11-11-11-11+i321−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−i321−i321+i32
χ3233−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i320000000000000000-11-11-11-11-111+i321−i32−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ3333−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i320000000000000000-11i−i−ii−iii−i1+i321−i32−1−i32−1+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ3433−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i320000000000000000-11−iii−ii−i−ii1+i321−i32−1−i32−1+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ3533−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000001-11-1-111-1-11−1−i32−1+i321+i321−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
χ3633−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000001-1-111-1-111-1−1−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
χ3733−3+3i32−3−3i3233−3+3i32−3−3i32−3+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−i32000000000000000011iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7
χ3833−3+3i32−3−3i3233−3+3i32−3−3i32−3+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−i32000000000000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7
χ3933−3+3i32−3−3i3233−3+3i32−3−3i32−3+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+i320000000000000000-1-1111111111−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+i32
χ4033−3+3i32−3−3i3233−3+3i32−3−3i32−3+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+i320000000000000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ4133−3+3i32−3−3i3233−3+3i32−3−3i32−3+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−i320000000000000000-1-1ii−i−i−i−iii1−i321+i321−i321+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ4233−3+3i32−3−3i3233−3+3i32−3−3i32−3+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−i320000000000000000-1-1−i−iiiii−i−i1−i321+i321−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000000000001111-1-111-1-1−1+i32−1−i32−1+i32−1−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
χ4433−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000000000000011-1-111-1-111−1+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+i32
χ4533−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000001-1i−ii−i−ii−ii−1+i32−1−i321−i321+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ4633−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200000000000000001-1−ii−iii−ii−i−1+i32−1−i321−i321+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ4733−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i320000000000000000-111-11-11-11-11−i321+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+i321+i321−i32
χ4833−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i320000000000000000-11-11-11-11-111−i321+i32−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ4933−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i320000000000000000-11i−i−ii−iii−i1−i321+i32−1+i32−1−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ5033−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i320000000000000000-11−iii−ii−i−ii1−i321+i32−1+i32−1−i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ5133−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000001-11-1-111-1-11−1+i32−1−i321−i321+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
χ5233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000001-1-111-1-111-1−1+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
χ534444444444444444440000000000001-211-2-21-21-21-211-2-2000000000000000000000000000000
χ54444444444444444444000000000000-21-2-211-21-21-21-2-211000000000000000000000000000000
χ55444444444444-4-4-4-4-4-40000000000001-2-1-1221-21-21-2-1-122000000000000000000000000000000
χ56444444444444-4-4-4-4-4-4000000000000-2122-1-1-21-21-2122-1-1000000000000000000000000000000
χ574444-4-444-4-4-4-44-444-4-40000000000001-211-2-21-2-12-12-1-122000000000000000000000000000000
χ584444-4-444-4-4-4-44-444-4-4000000000000-21-2-211-212-12-122-1-1000000000000000000000000000000
χ594444-4-444-4-4-4-4-44-4-4440000000000001-2-1-1221-2-12-1211-2-2000000000000000000000000000000
χ604444-4-444-4-4-4-4-44-4-444000000000000-2122-1-1-212-12-1-2-211000000000000000000000000000000
χ614-4444i−4i-4-44i4i−4i−4i0000000000000000001-23-300-12i−2i−i2i3i−3i00000000000000000000000000000000
χ624-4444i−4i-4-44i4i−4i−4i0000000000000000001-2-3300-12i−2i−i2i−3i3i00000000000000000000000000000000
χ634-4444i−4i-4-44i4i−4i−4i000000000000000000-21003-32-1−2ii2i−i003i−3i000000000000000000000000000000
χ644-4444i−4i-4-44i4i−4i−4i000000000000000000-2100-332-1−2ii2i−i00−3i3i000000000000000000000000000000
χ654-444−4i4i-4-4−4i−4i4i4i0000000000000000001-23-300-12−i2ii−2i−3i3i00000000000000000000000000000000
χ664-444−4i4i-4-4−4i−4i4i4i0000000000000000001-2-3300-12−i2ii−2i3i−3i00000000000000000000000000000000
χ674-444−4i4i-4-4−4i−4i4i4i000000000000000000-21003-32-12i−i−2ii00−3i3i000000000000000000000000000000
χ684-444−4i4i-4-4−4i−4i4i4i000000000000000000-2100-332-12i−i−2ii003i−3i000000000000000000000000000000
χ696-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ70000002-22i−2i−1−i3−1+i31+i31−i32ζ112ζ7−2ζ11−2ζ70000000000000000000000000000000000000000000000
χ706-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ7000000-22−2i2i1+i31−i3−1−i3−1+i3−2ζ11−2ζ72ζ112ζ70000000000000000000000000000000000000000000000
χ716-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ70000002-2−2i2i−1−i3−1+i31+i31−i3−2ζ11−2ζ72ζ112ζ70000000000000000000000000000000000000000000000
χ726-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ7000000-222i−2i1+i31−i3−1−i3−1+i32ζ112ζ7−2ζ11−2ζ70000000000000000000000000000000000000000000000
χ736-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ110000002-22i−2i−1+i3−1−i31−i31+i32ζ72ζ11−2ζ7−2ζ110000000000000000000000000000000000000000000000
χ746-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11000000-22−2i2i1−i31+i3−1+i3−1−i3−2ζ7−2ζ112ζ72ζ110000000000000000000000000000000000000000000000
χ756-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ110000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ7−2ζ112ζ72ζ110000000000000000000000000000000000000000000000
χ766-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11000000-222i−2i1−i31+i3−1+i3−1−i32ζ72ζ11−2ζ7−2ζ110000000000000000000000000000000000000000000000

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