Finite Group Databasebeta

← Group #6246

Character table — Group #6246

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222222222222229999111122222222222222229999111122222222222222229999
order124433336666121212121212121288883612123333666612121212121212122424242436121233336666121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1
χ311-1-111111111-1-1-1-1-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-1ii−i−i
χ411-1-111111111-1-1-1-1-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-1−i−iii
χ51-1i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ61-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ71-1−ii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ81-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ922222-1-1-12-1-1-12-1-1-12-1-1-1000022222-1-1-12-1-1-12-1-1-12-1-1-1000022222-1-1-12-1-1-12-1-1-12-1-1-10000
χ102222-12-1-1-12-1-1-12-1-1-12-1-100002222-12-1-1-12-1-1-12-1-1-12-1-100002222-12-1-1-12-1-1-12-1-1-12-1-10000
χ112222-1-12-1-1-12-1-1-12-1-1-12-100002222-1-12-1-1-12-1-1-12-1-1-12-100002222-1-12-1-1-12-1-1-12-1-1-12-10000
χ122222-1-1-12-1-1-12-1-1-12-1-1-1200002222-1-1-12-1-1-12-1-1-12-1-1-1200002222-1-1-12-1-1-12-1-1-12-1-1-120000
χ1322-2-22-1-1-12-1-1-1-2111-2111000022-2-22-1-1-12-1-1-1-2111-2111000022-2-22-1-1-12-1-1-1-2111-21110000
χ1422-2-2-12-1-1-12-1-11-2111-211000022-2-2-12-1-1-12-1-11-2111-211000022-2-2-12-1-1-12-1-11-2111-2110000
χ1522-2-2-1-12-1-1-12-111-2111-21000022-2-2-1-12-1-1-12-111-2111-21000022-2-2-1-12-1-1-12-111-2111-210000
χ1622-2-2-1-1-12-1-1-12111-2111-2000022-2-2-1-1-12-1-1-12111-2111-2000022-2-2-1-1-12-1-1-12111-2111-20000
χ172-22i−2i2-1-1-1-21112i−i−i−i−2iiii00002-22i−2i2-1-1-1-21112i−i−i−i−2iiii00002-22i−2i2-1-1-1-21112i−i−i−i−2iiii0000
χ182-22i−2i-12-1-11-211−i2i−i−ii−2iii00002-22i−2i-12-1-11-211−i2i−i−ii−2iii00002-22i−2i-12-1-11-211−i2i−i−ii−2iii0000
χ192-22i−2i-1-12-111-21−i−i2i−iii−2ii00002-22i−2i-1-12-111-21−i−i2i−iii−2ii00002-22i−2i-1-12-111-21−i−i2i−iii−2ii0000
χ202-22i−2i-1-1-12111-2−i−i−i2iiii−2i00002-22i−2i-1-1-12111-2−i−i−i2iiii−2i00002-22i−2i-1-1-12111-2−i−i−i2iiii−2i0000
χ212-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i00002-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i00002-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i0000
χ222-2−2i2i-12-1-11-211i−2iii−i2i−i−i00002-2−2i2i-12-1-11-211i−2iii−i2i−i−i00002-2−2i2i-12-1-11-211i−2iii−i2i−i−i0000
χ232-2−2i2i-1-12-111-21ii−2ii−i−i2i−i00002-2−2i2i-1-12-111-21ii−2ii−i−i2i−i00002-2−2i2i-1-12-111-21ii−2ii−i−i2i−i0000
χ242-2−2i2i-1-1-12111-2iii−2i−i−i−i2i00002-2−2i2i-1-1-12111-2iii−2i−i−i−i2i00002-2−2i2i-1-1-12111-2iii−2i−i−i−i2i0000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2611111111111111111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ2711-1-111111111-1-1-1-1-1-1-1-1ii−i−i−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−i32ζ14ζ14−ζ14−ζ14−1−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+i32ζ22ζ22−ζ22−ζ22
χ2811-1-111111111-1-1-1-1-1-1-1-1−i−iii−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−ζ14−ζ14ζ14ζ14−1−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−ζ22−ζ22ζ22ζ22
χ291-1i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ301-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ311-1−ii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ13ζ13−ζ7ζ7
χ321-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ13−ζ13ζ7−ζ7
χ3322222-1-1-12-1-1-12-1-1-12-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i320000
χ342222-12-1-1-12-1-1-12-1-1-12-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i320000
χ352222-1-12-1-1-12-1-1-12-1-1-12-10000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i320000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i320000
χ362222-1-1-12-1-1-12-1-1-12-1-1-120000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i30000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i30000
χ3722-2-22-1-1-12-1-1-1-2111-21110000−1+i3−1+i31−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i320000−1−i3−1−i31+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i320000
χ3822-2-2-12-1-1-12-1-11-2111-2110000−1+i3−1+i31−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i320000−1−i3−1−i31+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i320000
χ3922-2-2-1-12-1-1-12-111-2111-210000−1+i3−1+i31−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i320000−1−i3−1−i31+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i320000
χ4022-2-2-1-1-12-1-1-12111-2111-20000−1+i3−1+i31−i31−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i30000−1−i3−1−i31+i31+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i30000
χ412-22i−2i2-1-1-1-21112i−i−i−i−2iiii0000−1+i31−i32ζ14−2ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i322ζ14−ζ14−ζ14−ζ14−2ζ14ζ14ζ14ζ140000−1−i31+i32ζ22−2ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i322ζ22−ζ22−ζ22−ζ22−2ζ22ζ22ζ22ζ220000
χ422-22i−2i-12-1-11-211−i2i−i−ii−2iii0000−1+i31−i32ζ14−2ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−ζ142ζ14−ζ14−ζ14ζ14−2ζ14ζ14ζ140000−1−i31+i32ζ22−2ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−ζ222ζ22−ζ22−ζ22ζ22−2ζ22ζ22ζ220000
χ432-22i−2i-1-12-111-21−i−i2i−iii−2ii0000−1+i31−i32ζ14−2ζ141−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−ζ14−ζ142ζ14−ζ14ζ14ζ14−2ζ14ζ140000−1−i31+i32ζ22−2ζ221+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−ζ22−ζ222ζ22−ζ22ζ22ζ22−2ζ22ζ220000
χ442-22i−2i-1-1-12111-2−i−i−i2iiii−2i0000−1+i31−i32ζ14−2ζ141−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−ζ14−ζ14−ζ142ζ14ζ14ζ14ζ14−2ζ140000−1−i31+i32ζ22−2ζ221+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−ζ22−ζ22−ζ222ζ22ζ22ζ22ζ22−2ζ220000
χ452-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i0000−1+i31−i3−2ζ142ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−2ζ14ζ14ζ14ζ142ζ14−ζ14−ζ14−ζ140000−1−i31+i3−2ζ222ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−2ζ22ζ22ζ22ζ222ζ22−ζ22−ζ22−ζ220000
χ462-2−2i2i-12-1-11-211i−2iii−i2i−i−i0000−1+i31−i3−2ζ142ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32ζ14−2ζ14ζ14ζ14−ζ142ζ14−ζ14−ζ140000−1−i31+i3−2ζ222ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32ζ22−2ζ22ζ22ζ22−ζ222ζ22−ζ22−ζ220000
χ472-2−2i2i-1-12-111-21ii−2ii−i−i2i−i0000−1+i31−i3−2ζ142ζ141−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32ζ14ζ14−2ζ14ζ14−ζ14−ζ142ζ14−ζ140000−1−i31+i3−2ζ222ζ221+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32ζ22ζ22−2ζ22ζ22−ζ22−ζ222ζ22−ζ220000
χ482-2−2i2i-1-1-12111-2iii−2i−i−i−i2i0000−1+i31−i3−2ζ142ζ141−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3ζ14ζ14ζ14−2ζ14−ζ14−ζ14−ζ142ζ140000−1−i31+i3−2ζ222ζ221+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3ζ22ζ22ζ22−2ζ22−ζ22−ζ22−ζ222ζ220000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5011111111111111111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ5111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−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+i32ζ22ζ22−ζ22−ζ22−1+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−i32ζ14ζ14−ζ14−ζ14
χ5211-1-111111111-1-1-1-1-1-1-1-1−i−iii−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−ζ22−ζ22ζ22ζ22−1+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−ζ14−ζ14ζ14ζ14
χ531-1i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ23ζ23−ζ5ζ5
χ541-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ23−ζ23ζ5−ζ5
χ551-1−ii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ5ζ5−ζ23ζ23
χ561-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ5−ζ5ζ23−ζ23
χ5722222-1-1-12-1-1-12-1-1-12-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i320000
χ582222-12-1-1-12-1-1-12-1-1-12-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i320000
χ592222-1-12-1-1-12-1-1-12-1-1-12-10000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i320000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i320000
χ602222-1-1-12-1-1-12-1-1-12-1-1-120000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i30000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i30000
χ6122-2-22-1-1-12-1-1-1-2111-21110000−1−i3−1−i31+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i320000−1+i3−1+i31−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i320000
χ6222-2-2-12-1-1-12-1-11-2111-2110000−1−i3−1−i31+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i320000−1+i3−1+i31−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i320000
χ6322-2-2-1-12-1-1-12-111-2111-210000−1−i3−1−i31+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i320000−1+i3−1+i31−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i320000
χ6422-2-2-1-1-12-1-1-12111-2111-20000−1−i3−1−i31+i31+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i30000−1+i3−1+i31−i31−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i30000
χ652-22i−2i2-1-1-1-21112i−i−i−i−2iiii0000−1−i31+i32ζ22−2ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i322ζ22−ζ22−ζ22−ζ22−2ζ22ζ22ζ22ζ220000−1+i31−i32ζ14−2ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i322ζ14−ζ14−ζ14−ζ14−2ζ14ζ14ζ14ζ140000
χ662-22i−2i-12-1-11-211−i2i−i−ii−2iii0000−1−i31+i32ζ22−2ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−ζ222ζ22−ζ22−ζ22ζ22−2ζ22ζ22ζ220000−1+i31−i32ζ14−2ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−ζ142ζ14−ζ14−ζ14ζ14−2ζ14ζ14ζ140000
χ672-22i−2i-1-12-111-21−i−i2i−iii−2ii0000−1−i31+i32ζ22−2ζ221+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−ζ22−ζ222ζ22−ζ22ζ22ζ22−2ζ22ζ220000−1+i31−i32ζ14−2ζ141−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−ζ14−ζ142ζ14−ζ14ζ14ζ14−2ζ14ζ140000
χ682-22i−2i-1-1-12111-2−i−i−i2iiii−2i0000−1−i31+i32ζ22−2ζ221+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−ζ22−ζ22−ζ222ζ22ζ22ζ22ζ22−2ζ220000−1+i31−i32ζ14−2ζ141−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−ζ14−ζ14−ζ142ζ14ζ14ζ14ζ14−2ζ140000
χ692-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i0000−1−i31+i3−2ζ222ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−2ζ22ζ22ζ22ζ222ζ22−ζ22−ζ22−ζ220000−1+i31−i3−2ζ142ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−2ζ14ζ14ζ14ζ142ζ14−ζ14−ζ14−ζ140000
χ702-2−2i2i-12-1-11-211i−2iii−i2i−i−i0000−1−i31+i3−2ζ222ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32ζ22−2ζ22ζ22ζ22−ζ222ζ22−ζ22−ζ220000−1+i31−i3−2ζ142ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32ζ14−2ζ14ζ14ζ14−ζ142ζ14−ζ14−ζ140000
χ712-2−2i2i-1-12-111-21ii−2ii−i−i2i−i0000−1−i31+i3−2ζ222ζ221+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32ζ22ζ22−2ζ22ζ22−ζ22−ζ222ζ22−ζ220000−1+i31−i3−2ζ142ζ141−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32ζ14ζ14−2ζ14ζ14−ζ14−ζ142ζ14−ζ140000
χ722-2−2i2i-1-1-12111-2iii−2i−i−i−i2i0000−1−i31+i3−2ζ222ζ221+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3ζ22ζ22ζ22−2ζ22−ζ22−ζ22−ζ222ζ220000−1+i31−i3−2ζ142ζ141−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3ζ14ζ14ζ14−2ζ14−ζ14−ζ14−ζ142ζ140000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.