Finite Group Databasebeta

← Group #4586

Character table — Group #4586

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order12224444224444444444444488883666121212126612121212121212121212121212122424242436661212121266121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii
χ71111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i
χ911-1-111-1-1-111-111-1-111-1-1i−ii−ii−ii−i11-1-111-1-1-111-111-1-111-1-1i−ii−ii−ii−i11-1-111-1-1-111-111-1-111-1-1i−ii−ii−ii−i
χ1011-1-111-1-1-111-111-1-111-1-1−ii−ii−ii−ii11-1-111-1-1-111-111-1-111-1-1−ii−ii−ii−ii11-1-111-1-1-111-111-1-111-1-1−ii−ii−ii−ii
χ1111-1-111-1-1-111-1-1-111-1-111i−ii−i−ii−ii11-1-111-1-1-111-1-1-111-1-111i−ii−i−ii−ii11-1-111-1-1-111-1-1-111-1-111i−ii−i−ii−ii
χ1211-1-111-1-1-111-1-1-111-1-111−ii−iii−ii−i11-1-111-1-1-111-1-1-111-1-111−ii−iii−ii−i11-1-111-1-1-111-1-1-111-1-111−ii−iii−ii−i
χ1311-1-1-1-1111-11-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-11-1ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111-11-1ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-1-1111-11-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-11-1ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111-11-1ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-1-1111-11-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-11-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111-11-1−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-1-1111-11-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-11-1−i−iiiii−i−i−iii−i-111-111-1-1-1-1111-11-1−i−iiiii−i−i−iii−i-111-1
χ1722222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-20000000000000000
χ182222-2-2-2-222-2-200000000000000002222-2-2-2-222-2-200000000000000002222-2-2-2-222-2-20000000000000000
χ1922-2-222-2-22-2-22000000000000000022-2-222-2-22-2-22000000000000000022-2-222-2-22-2-220000000000000000
χ2022-2-2-2-222-22-22000000000000000022-2-2-2-222-22-22000000000000000022-2-2-2-222-22-220000000000000000
χ212-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ222-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ232-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ242-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ252-2-222i−2i−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-222i−2i−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-222i−2i−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ262-2-222i−2i−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-222i−2i−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-222i−2i−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ272-2-22−2i2i2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-22−2i2i2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-22−2i2i2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ282-2-22−2i2i2i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-22−2i2i2i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-22−2i2i2i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ291111111111111111111111111111−1+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
χ3011111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ331111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11
χ341111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11
χ351111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11
χ361111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11
χ3711-1-111-1-1-111-111-1-111-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ3811-1-111-1-1-111-111-1-111-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ3911-1-111-1-1-111-1-1-111-1-111i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ4011-1-111-1-1-111-1-1-111-1-111−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ4111-1-1-1-1111-11-1ii−i−i−i−iiii−i−ii-111-1−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32
χ4211-1-1-1-1111-11-1ii−i−i−i−iii−iii−i1-1-11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32
χ4311-1-1-1-1111-11-1−i−iiiii−i−ii−i−ii1-1-11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32
χ4411-1-1-1-1111-11-1−i−iiiii−i−i−iii−i-111-1−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32
χ4522222222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
χ462222-2-2-2-222-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000
χ4722-2-222-2-22-2-220000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000000000000000
χ4822-2-2-2-222-22-220000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i30000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i30000000000000000
χ492-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ1100000000
χ502-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ1100000000
χ512-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ1100000000
χ522-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ1100000000
χ532-2-222i−2i−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ1000000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000
χ542-2-222i−2i−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ1000000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000
χ552-2-22−2i2i2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ1000000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000
χ562-2-22−2i2i2i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ1000000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000
χ571111111111111111111111111111−1−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
χ5811111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ59111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32
χ60111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ611111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7
χ621111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ631111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7
χ641111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
χ6511-1-111-1-1-111-111-1-111-1-1i−ii−ii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ6611-1-111-1-1-111-111-1-111-1-1−ii−ii−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ6711-1-111-1-1-111-1-1-111-1-111i−ii−i−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ6811-1-111-1-1-111-1-1-111-1-111−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ6911-1-1-1-1111-11-1ii−i−i−i−iiii−i−ii-111-1−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32
χ7011-1-1-1-1111-11-1ii−i−i−i−iii−iii−i1-1-11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ7111-1-1-1-1111-11-1−i−iiiii−i−ii−i−ii1-1-11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
χ7211-1-1-1-1111-11-1−i−iiiii−i−i−iii−i-111-1−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
χ7322222222-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000
χ742222-2-2-2-222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000
χ7522-2-222-2-22-2-220000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000000000000000
χ7622-2-2-2-222-22-220000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i30000000000000000
χ772-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ782-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ792-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ802-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ812-2-222i−2i−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ1000000000
χ822-2-222i−2i−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ1000000000
χ832-2-22−2i2i2i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ1000000000
χ842-2-22−2i2i2i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ1000000000

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