Finite Group Databasebeta

← Group #10591847

Character table — Group #10591847

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112224444442244488888833666121212121212112224444442244488888833666121212121212112224444442244488888833666121212121212
order12244448888366121212122424242422244448888366121212122424242436612121212242424246661212121224242424366121212122424242436612121212242424246661212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1
χ311111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-1
χ411111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111
χ5111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i
χ6111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii
χ7111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii
χ8111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i
χ922-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-2000000
χ1022-2-2200000022-2-2200000022-2-2200000022-2-2200000022-2-2200000022-2-2200000022-2-2200000022-2-2200000022-2-22000000
χ114-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-4000000000
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ131111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111
χ1411111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-11111111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-11111111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111
χ1511111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1
χ16111-1-11-1i−ii−i111-1-11-1i−ii−i-1-1-111-11−ii−ii111-1-11-1i−ii−i111-1-11-1i−ii−i-1-1-111-11−ii−ii111-1-11-1i−ii−i111-1-11-1i−ii−i-1-1-111-11−ii−ii
χ17111-1-11-1−ii−ii111-1-11-1−ii−ii-1-1-111-11i−ii−i111-1-11-1−ii−ii111-1-11-1−ii−ii-1-1-111-11i−ii−i111-1-11-1−ii−ii111-1-11-1−ii−ii-1-1-111-11i−ii−i
χ18111-1-1-11i−i−ii111-1-1-11i−i−ii-1-1-1111-1−iii−i111-1-1-11i−i−ii111-1-1-11i−i−ii-1-1-1111-1−iii−i111-1-1-11i−i−ii111-1-1-11i−i−ii-1-1-1111-1−iii−i
χ19111-1-1-11−iii−i111-1-1-11−iii−i-1-1-1111-1i−i−ii111-1-1-11−iii−i111-1-1-11−iii−i-1-1-1111-1i−i−ii111-1-1-11−iii−i111-1-1-11−iii−i-1-1-1111-1i−i−ii
χ2022-22-200000022-22-2000000-2-22-2200000022-22-200000022-22-2000000-2-22-2200000022-22-200000022-22-2000000-2-22-22000000
χ2122-2-2200000022-2-22000000-2-222-200000022-2-2200000022-2-22000000-2-222-200000022-2-2200000022-2-22000000-2-222-2000000
χ224-40000000004-4000000000-440000000004-40000000004-4000000000-440000000004-40000000004-4000000000-44000000000
χ2322222222222-1-1-1-1-1-1-1-1-1-1-10000000000022222222222-1-1-1-1-1-1-1-1-1-1-10000000000022222222222-1-1-1-1-1-1-1-1-1-1-100000000000
χ242222222-2-2-2-2-1-1-1-1-1-1-11111000000000002222222-2-2-2-2-1-1-1-1-1-1-11111000000000002222222-2-2-2-2-1-1-1-1-1-1-1111100000000000
χ2522222-2-222-2-2-1-1-1-1-111-1-1110000000000022222-2-222-2-2-1-1-1-1-111-1-1110000000000022222-2-222-2-2-1-1-1-1-111-1-11100000000000
χ2622222-2-2-2-222-1-1-1-1-11111-1-10000000000022222-2-2-2-222-1-1-1-1-11111-1-10000000000022222-2-2-2-222-1-1-1-1-11111-1-100000000000
χ27222-2-22-22i−2i2i−2i-1-1-111-11−ii−ii00000000000222-2-22-22i−2i2i−2i-1-1-111-11−ii−ii00000000000222-2-22-22i−2i2i−2i-1-1-111-11−ii−ii00000000000
χ28222-2-22-2−2i2i−2i2i-1-1-111-11i−ii−i00000000000222-2-22-2−2i2i−2i2i-1-1-111-11i−ii−i00000000000222-2-22-2−2i2i−2i2i-1-1-111-11i−ii−i00000000000
χ29222-2-2-222i−2i−2i2i-1-1-1111-1−iii−i00000000000222-2-2-222i−2i−2i2i-1-1-1111-1−iii−i00000000000222-2-2-222i−2i−2i2i-1-1-1111-1−iii−i00000000000
χ30222-2-2-22−2i2i2i−2i-1-1-1111-1i−i−ii00000000000222-2-2-22−2i2i2i−2i-1-1-1111-1i−i−ii00000000000222-2-2-22−2i2i2i−2i-1-1-1111-1i−i−ii00000000000
χ3144-44-4000000-2-22-220000000000000000044-44-4000000-2-22-220000000000000000044-44-4000000-2-22-2200000000000000000
χ3244-4-44000000-2-222-20000000000000000044-4-44000000-2-222-20000000000000000044-4-44000000-2-222-200000000000000000
χ338-8000000000-44000000000000000000008-8000000000-44000000000000000000008-8000000000-4400000000000000000000
χ34111111111111111111111111111111111−1+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
χ351111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3611111-1-111-1-111111-1-111-1-111111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3711111-1-1-1-11111111-1-1-1-11111111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ38111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ39111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ40111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ41111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ4222-22-200000022-22-200000022-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i3000000
χ4322-2-2200000022-2-2200000022-2-22000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i3000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i3000000
χ444-40000000004-40000000004-4000000000−2+2i32−2i3000000000−2+2i32−2i3000000000−2+2i32−2i3000000000−2−2i32+2i3000000000−2−2i32+2i3000000000−2−2i32+2i3000000000
χ451111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−1+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+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−i32−1−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+i321+i32
χ461111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32
χ4711111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4811111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ49111-1-11-1i−ii−i111-1-11-1i−ii−i-1-1-111-11−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ50111-1-11-1−ii−ii111-1-11-1−ii−ii-1-1-111-11i−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ51111-1-1-11i−i−ii111-1-1-11i−i−ii-1-1-1111-1−iii−i−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ52111-1-1-11−iii−i111-1-1-11−iii−i-1-1-1111-1i−i−ii−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ5322-22-200000022-22-2000000-2-22-22000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i30000001−i31−i3−1+i31−i3−1+i3000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i30000001+i31+i3−1−i31+i3−1−i3000000
χ5422-2-2200000022-2-22000000-2-222-2000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i3−1+i31−i3000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i3−1−i31+i3000000
χ554-40000000004-4000000000-44000000000−2+2i32−2i3000000000−2+2i32−2i30000000002−2i3−2+2i3000000000−2−2i32+2i3000000000−2−2i32+2i30000000002+2i3−2−2i3000000000
χ5622222222222-1-1-1-1-1-1-1-1-1-1-100000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000
χ572222222-2-2-2-2-1-1-1-1-1-1-1111100000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000
χ5822222-2-222-2-2-1-1-1-1-111-1-11100000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000
χ5922222-2-2-2-222-1-1-1-1-11111-1-100000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000000
χ60222-2-22-22i−2i2i−2i-1-1-111-11−ii−ii00000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ700000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ1100000000000
χ61222-2-22-2−2i2i−2i2i-1-1-111-11i−ii−i00000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ700000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ1100000000000
χ62222-2-2-222i−2i−2i2i-1-1-1111-1−iii−i00000000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ700000000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ1100000000000
χ63222-2-2-22−2i2i2i−2i-1-1-1111-1i−i−ii00000000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ700000000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ1100000000000
χ6444-44-4000000-2-22-2200000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i30000001−i31−i3−1+i31−i3−1+i300000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i30000001+i31+i3−1−i31+i3−1−i300000000000000000
χ6544-4-44000000-2-222-200000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i30000001−i31−i3−1+i3−1+i31−i300000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i30000001+i31+i3−1−i3−1−i31+i300000000000000000
χ668-8000000000-4400000000000000000000−4+4i34−4i30000000002−2i3−2+2i300000000000000000000−4−4i34+4i30000000002+2i3−2−2i300000000000000000000
χ67111111111111111111111111111111111−1−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
χ681111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ6911111-1-111-1-111111-1-111-1-111111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ7011111-1-1-1-11111111-1-1-1-11111111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ71111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ72111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ73111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ74111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ7522-22-200000022-22-200000022-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i3000000
χ7622-2-2200000022-2-2200000022-2-22000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i3000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i3000000
χ774-40000000004-40000000004-4000000000−2−2i32+2i3000000000−2−2i32+2i3000000000−2−2i32+2i3000000000−2+2i32−2i3000000000−2+2i32−2i3000000000−2+2i32−2i3000000000
χ781111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−1−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−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+i32−1+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−i321−i32
χ791111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32
χ8011111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ82111-1-11-1i−ii−i111-1-11-1i−ii−i-1-1-111-11−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ83111-1-11-1−ii−ii111-1-11-1−ii−ii-1-1-111-11i−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ84111-1-1-11i−i−ii111-1-1-11i−i−ii-1-1-1111-1−iii−i−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ85111-1-1-11−iii−i111-1-1-11−iii−i-1-1-1111-1i−i−ii−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ8622-22-200000022-22-2000000-2-22-22000000−1−i3−1−i31+i3−1−i31+i3000000−1−i3−1−i31+i3−1−i31+i30000001+i31+i3−1−i31+i3−1−i3000000−1+i3−1+i31−i3−1+i31−i3000000−1+i3−1+i31−i3−1+i31−i30000001−i31−i3−1+i31−i3−1+i3000000
χ8722-2-2200000022-2-22000000-2-222-2000000−1−i3−1−i31+i31+i3−1−i3000000−1−i3−1−i31+i31+i3−1−i30000001+i31+i3−1−i3−1−i31+i3000000−1+i3−1+i31−i31−i3−1+i3000000−1+i3−1+i31−i31−i3−1+i30000001−i31−i3−1+i3−1+i31−i3000000
χ884-40000000004-4000000000-44000000000−2−2i32+2i3000000000−2−2i32+2i30000000002+2i3−2−2i3000000000−2+2i32−2i3000000000−2+2i32−2i30000000002−2i3−2+2i3000000000
χ8922222222222-1-1-1-1-1-1-1-1-1-1-100000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000
χ902222222-2-2-2-2-1-1-1-1-1-1-1111100000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000
χ9122222-2-222-2-2-1-1-1-1-111-1-11100000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000
χ9222222-2-2-2-222-1-1-1-1-11111-1-100000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000000
χ93222-2-22-22i−2i2i−2i-1-1-111-11−ii−ii00000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ1100000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ700000000000
χ94222-2-22-2−2i2i−2i2i-1-1-111-11i−ii−i00000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ1100000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ700000000000
χ95222-2-2-222i−2i−2i2i-1-1-1111-1−iii−i00000000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ1100000000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ700000000000
χ96222-2-2-22−2i2i2i−2i-1-1-1111-1i−i−ii00000000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ1100000000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ700000000000
χ9744-44-4000000-2-22-2200000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i30000001+i31+i3−1−i31+i3−1−i300000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i30000001−i31−i3−1+i31−i3−1+i300000000000000000
χ9844-4-44000000-2-222-200000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i30000001+i31+i3−1−i3−1−i31+i300000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i30000001−i31−i3−1+i3−1+i31−i300000000000000000
χ998-8000000000-4400000000000000000000−4−4i34+4i30000000002+2i3−2−2i300000000000000000000−4+4i34−4i30000000002−2i3−2+2i300000000000000000000

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