Finite Group Databasebeta

← Group #6750

Character table — Group #6750

Order 240.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111144445555555555551111444455555555555511114444555555555555
order12445102020224488888888361212153060606612122424242424242424361212153060606612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii
χ511-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i
χ611-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii
χ711-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ811-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ91-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ101-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ111-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ121-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ131-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ151-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ161-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ174444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-1000000000000
χ1844-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-111000000000000
χ194-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii000000000000
χ204-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i000000000000
χ2111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ22111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ2311111111-1-1-1-1iiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22
χ2411111111-1-1-1-1−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22
χ2511-1-111-1-111-1-1ii−i−iii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ2611-1-111-1-111-1-1−i−iii−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ2711-1-111-1-1-1-11111-1-1-1-111−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ2811-1-111-1-1-1-111-1-11111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ291-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13
χ301-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13
χ311-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7
χ321-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7
χ331-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7
χ341-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7
χ351-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13
χ361-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13
χ374444-1-1-1-1000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000
χ3844-4-4-1-111000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i32000000000000
χ394-44i−4i-11−ii000000000000−2+2i32−2i34ζ14−4ζ141−i32−1+i32−ζ14ζ14000000000000−2−2i32+2i34ζ22−4ζ221+i32−1−i32−ζ22ζ22000000000000
χ404-4−4i4i-11i−i000000000000−2+2i32−2i3−4ζ144ζ141−i32−1+i32ζ14−ζ14000000000000−2−2i32+2i3−4ζ224ζ221+i32−1−i32ζ22−ζ22000000000000
χ4111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ42111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ4311111111-1-1-1-1iiii−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14
χ4411111111-1-1-1-1−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
χ4511-1-111-1-111-1-1ii−i−iii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ4611-1-111-1-111-1-1−i−iii−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ4711-1-111-1-1-1-11111-1-1-1-111−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ4811-1-111-1-1-1-111-1-11111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ491-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5
χ501-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5
χ511-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23
χ521-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23
χ531-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23
χ541-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23
χ551-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5
χ561-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5
χ574444-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000
χ5844-4-4-1-111000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i32000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000
χ594-44i−4i-11−ii000000000000−2−2i32+2i34ζ22−4ζ221+i32−1−i32−ζ22ζ22000000000000−2+2i32−2i34ζ14−4ζ141−i32−1+i32−ζ14ζ14000000000000
χ604-4−4i4i-11i−i000000000000−2−2i32+2i3−4ζ224ζ221+i32−1−i32ζ22−ζ22000000000000−2+2i32−2i3−4ζ144ζ141−i32−1+i32ζ14−ζ14000000000000

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