Finite Group Databasebeta

← Group #3731

Character table — Group #3731

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122223333111122223333111122223333111122223333111122223333111122223333
order124436121288883612123612122424242436121236121224242424224466121288886612126612122424242466121266121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ311-1-111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i
χ411-1-111-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−i−iii
χ51-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ61-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ71-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ81-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ92222-1-1-1-100002222-1-1-1-100002222-1-1-1-100002222-1-1-1-100002222-1-1-1-100002222-1-1-1-10000
χ1022-2-2-1-111000022-2-2-1-111000022-2-2-1-111000022-2-2-1-111000022-2-2-1-111000022-2-2-1-1110000
χ112-22i−2i-11−ii00002-22i−2i-11−ii00002-22i−2i-11−ii00002-22i−2i-11−ii00002-22i−2i-11−ii00002-22i−2i-11−ii0000
χ122-2−2i2i-11i−i00002-2−2i2i-11i−i00002-2−2i2i-11i−i00002-2−2i2i-11i−i00002-2−2i2i-11i−i00002-2−2i2i-11i−i0000
χ13111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1511-1-111-1-1ii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ2211-1-111-1-1ii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ1611-1-111-1-1−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ2211-1-111-1-1−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ171-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ181-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ191-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ71-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7
χ201-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ71-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7
χ212222-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200002222-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000
χ2222-2-2-1-1110000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32000022-2-2-1-1110000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i320000
χ232-22i−2i-11−ii0000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ140000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ2200002-22i−2i-11−ii0000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ140000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ220000
χ242-2−2i2i-11i−i0000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ140000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ2200002-2−2i2i-11i−i0000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ140000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ220000
χ25111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ2711-1-111-1-1ii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ1411-1-111-1-1ii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14
χ2811-1-111-1-1−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ1411-1-111-1-1−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14
χ291-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ51-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5
χ301-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ51-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5
χ311-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23
χ321-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23
χ332222-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200002222-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000
χ3422-2-2-1-1110000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32000022-2-2-1-1110000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i320000
χ352-22i−2i-11−ii0000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ220000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ1400002-22i−2i-11−ii0000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ220000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ140000
χ362-2−2i2i-11i−i0000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ220000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ1400002-2−2i2i-11i−i0000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ220000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ140000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ3911-1-111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i-1-111-1-111−i−iii-1-111-1-111−i−iii-1-111-1-111−i−iii
χ4011-1-111-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−i−iii-1-111-1-111ii−i−i-1-111-1-111ii−i−i-1-111-1-111ii−i−i
χ411-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ421-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ431-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ441-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ452222-1-1-1-100002222-1-1-1-100002222-1-1-1-10000-2-2-2-211110000-2-2-2-211110000-2-2-2-211110000
χ4622-2-2-1-111000022-2-2-1-111000022-2-2-1-1110000-2-22211-1-10000-2-22211-1-10000-2-22211-1-10000
χ472-22i−2i-11−ii00002-22i−2i-11−ii00002-22i−2i-11−ii0000-22−2i2i1-1i−i0000-22−2i2i1-1i−i0000-22−2i2i1-1i−i0000
χ482-2−2i2i-11i−i00002-2−2i2i-11i−i00002-2−2i2i-11i−i0000-222i−2i1-1−ii0000-222i−2i1-1−ii0000-222i−2i1-1−ii0000
χ49111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5011111111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i321−i321−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
χ5111-1-111-1-1ii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22-1-111-1-111−i−iii1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ5211-1-111-1-1−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22-1-111-1-111ii−i−i1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ531-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ51+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13
χ541-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ51+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13
χ551-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7
χ561-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7
χ572222-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000-2-2-2-2111100001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200001+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000
χ5822-2-2-1-1110000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i320000-2-22211-1-100001−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i3200001+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i320000
χ592-22i−2i-11−ii0000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ140000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ220000-22−2i2i1-1i−i00001−i3−1+i3−2ζ142ζ14−1+i321−i32ζ14−ζ1400001+i3−1−i3−2ζ222ζ22−1−i321+i32ζ22−ζ220000
χ602-2−2i2i-11i−i0000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ140000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ220000-222i−2i1-1−ii00001−i3−1+i32ζ14−2ζ14−1+i321−i32−ζ14ζ1400001+i3−1−i32ζ22−2ζ22−1−i321+i32−ζ22ζ220000
χ61111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6211111111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+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
χ6311-1-111-1-1ii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14-1-111-1-111−i−iii1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ6411-1-111-1-1−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14-1-111-1-111ii−i−i1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ651-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5
χ661-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5
χ671-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23
χ681-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23
χ692222-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000-2-2-2-2111100001+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000
χ7022-2-2-1-1110000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i320000-2-22211-1-100001+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i3200001−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i320000
χ712-22i−2i-11−ii0000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22ζ220000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14ζ140000-22−2i2i1-1i−i00001+i3−1−i3−2ζ222ζ22−1−i321+i32ζ22−ζ2200001−i3−1+i3−2ζ142ζ14−1+i321−i32ζ14−ζ140000
χ722-2−2i2i-11i−i0000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22−ζ220000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14−ζ140000-222i−2i1-1−ii00001+i3−1−i32ζ22−2ζ22−1−i321+i32−ζ22ζ2200001−i3−1+i32ζ14−2ζ14−1+i321−i32−ζ14ζ140000

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