Finite Group Databasebeta

← Group #5259

Character table — Group #5259

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order12222222222244444444444444443666666666661212121212121212121212121212121236666666666612121212121212121212121212121212
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
χ511111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ911-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii11-1-111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii11-1-111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ1411-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i11-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i11-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ1511-1-111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i11-1-111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i11-1-111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ1611-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii11-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii11-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ172222-2-2-2-22-22-200000000000000002222-2-2-2-22-22-200000000000000002222-2-2-2-22-22-20000000000000000
χ182222-2-2-2-2-22-2200000000000000002222-2-2-2-2-22-2200000000000000002222-2-2-2-2-22-220000000000000000
χ1922-2-2-2-2222-2-22000000000000000022-2-2-2-2222-2-22000000000000000022-2-2-2-2222-2-220000000000000000
χ2022-2-2-2-222-222-2000000000000000022-2-2-2-222-222-2000000000000000022-2-2-2-222-222-20000000000000000
χ212-22-22-22-2000000002i−2i2i−2i000000002-22-22-22-2000000002i−2i2i−2i000000002-22-22-22-2000000002i−2i2i−2i00000000
χ222-22-22-22-200000000−2i2i−2i2i000000002-22-22-22-200000000−2i2i−2i2i000000002-22-22-22-200000000−2i2i−2i2i00000000
χ232-22-2-22-2200002-22-20000000000002-22-2-22-2200002-22-20000000000002-22-2-22-2200002-22-2000000000000
χ242-22-2-22-220000-22-220000000000002-22-2-22-220000-22-220000000000002-22-2-22-220000-22-22000000000000
χ252-2-222-2-22000000002-2-22000000002-2-222-2-22000000002-2-22000000002-2-222-2-22000000002-2-2200000000
χ262-2-222-2-2200000000-222-2000000002-2-222-2-2200000000-222-2000000002-2-222-2-2200000000-222-200000000
χ272-2-22-222-200002i−2i−2i2i0000000000002-2-22-222-200002i−2i−2i2i0000000000002-2-22-222-200002i−2i−2i2i000000000000
χ282-2-22-222-20000−2i2i2i−2i0000000000002-2-22-222-20000−2i2i2i−2i0000000000002-2-22-222-20000−2i2i2i−2i000000000000
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
χ3311111111-1-1-1-11111-1-1-1-111-1-111-1-1−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3411111111-1-1-1-11111-1-1-1-1-1-111-1-111−1+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−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ3511111111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32
χ3611111111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3711-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ3811-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ3911-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ4011-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ4111-1-111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ4211-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ4311-1-111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ4411-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ452222-2-2-2-22-22-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i30000000000000000
χ462222-2-2-2-2-22-220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i30000000000000000
χ4722-2-2-2-2222-2-220000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i30000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i30000000000000000
χ4822-2-2-2-222-222-20000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i30000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i30000000000000000
χ492-22-22-22-2000000002i−2i2i−2i00000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000002ζ7−2ζ72ζ7−2ζ700000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000002ζ11−2ζ112ζ11−2ζ1100000000
χ502-22-22-22-200000000−2i2i−2i2i00000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i300000000−2ζ72ζ7−2ζ72ζ700000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i300000000−2ζ112ζ11−2ζ112ζ1100000000
χ512-22-2-22-2200002-22-2000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000000
χ522-22-2-22-220000-22-22000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000000
χ532-2-222-2-22000000002-2-2200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i300000000
χ542-2-222-2-2200000000-222-200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i300000000
χ552-2-22-222-200002i−2i−2i2i000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300002ζ7−2ζ7−2ζ72ζ7000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300002ζ11−2ζ11−2ζ112ζ11000000000000
χ562-2-22-222-20000−2i2i2i−2i000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i30000−2ζ72ζ72ζ7−2ζ7000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i30000−2ζ112ζ112ζ11−2ζ11000000000000
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
χ6111111111-1-1-1-11111-1-1-1-111-1-111-1-1−1−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ6211111111-1-1-1-11111-1-1-1-1-1-111-1-111−1−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+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ6311111111-1-1-1-1-1-1-1-1111111-1-1-1-111−1−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−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32
χ6411111111-1-1-1-1-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6511-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ6611-1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ6711-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ6811-1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ6911-1-111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ7011-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ7111-1-111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ7211-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ732222-2-2-2-22-22-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i30000000000000000
χ742222-2-2-2-2-22-220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i30000000000000000
χ7522-2-2-2-2222-2-220000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i30000000000000000
χ7622-2-2-2-222-222-20000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i30000000000000000
χ772-22-22-22-2000000002i−2i2i−2i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000002ζ11−2ζ112ζ11−2ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000002ζ7−2ζ72ζ7−2ζ700000000
χ782-22-22-22-200000000−2i2i−2i2i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i300000000−2ζ112ζ11−2ζ112ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i300000000−2ζ72ζ7−2ζ72ζ700000000
χ792-22-2-22-2200002-22-2000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000000
χ802-22-2-22-220000-22-22000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000000
χ812-2-222-2-22000000002-2-2200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i300000000
χ822-2-222-2-2200000000-222-200000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i300000000
χ832-2-22-222-200002i−2i−2i2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300002ζ11−2ζ11−2ζ112ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300002ζ7−2ζ7−2ζ72ζ7000000000000
χ842-2-22-222-20000−2i2i2i−2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i30000−2ζ112ζ112ζ11−2ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i30000−2ζ72ζ72ζ7−2ζ7000000000000

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