Finite Group Databasebeta

← Group #13180675

Character table — Group #13180675

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size114444999999331212121227272727272744161616163636363636364416161616363636363636114444999999331212121227272727272744161616163636363636364416161616363636363636
order123366448888226666448888363366121224242424363366121224242424226666448888226666448888666666121224242424666666121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ3111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i
χ4111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii
χ51-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ61-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ71-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ81-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ9441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000
χ1044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-21000000
χ114-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-12000000
χ124-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-1000000
χ13111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411111111-1-1-1-111111111-1-1-1-1−1+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+i3211111111-1-1-1-111111111-1-1-1-1−1+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
χ15111111-1-1ii−i−i111111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22111111-1-1ii−i−i111111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ16111111-1-1−i−iii111111-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22111111-1-1−i−iii111111-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ171-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ181-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ191-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ71-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7
χ201-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ71-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7
χ21441-21-2000000441-21-2000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000441-21-2000000441-21-2000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000
χ2244-21-2100000044-21-21000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i3200000044-21-2100000044-21-21000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000
χ234-41-2-120000004-41-2-12000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i30000004-41-2-120000004-41-2-12000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000
χ244-4-212-10000004-4-212-1000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i320000004-4-212-10000004-4-212-1000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000
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+i32111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611111111-1-1-1-111111111-1-1-1-1−1−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−i3211111111-1-1-1-111111111-1-1-1-1−1−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
χ27111111-1-1ii−i−i111111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14111111-1-1ii−i−i111111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14
χ28111111-1-1−i−iii111111-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14111111-1-1−i−iii111111-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14
χ291-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ51-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5
χ301-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ51-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5
χ311-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23
χ321-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23
χ33441-21-2000000441-21-2000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000441-21-2000000441-21-2000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000
χ3444-21-2100000044-21-21000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i3200000044-21-2100000044-21-21000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000
χ354-41-2-120000004-41-2-12000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i30000004-41-2-120000004-41-2-12000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000
χ364-4-212-10000004-4-212-1000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i320000004-4-212-10000004-4-212-1000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000
χ37333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3833333333-3-3-3-3-1-1-1-1-1-1-1-1111100000000000000000000000033333333-3-3-3-3-1-1-1-1-1-1-1-11111000000000000000000000000
χ39333333-3-33i3i−3i−3i-1-1-1-1-1-111−i−iii000000000000000000000000333333-3-33i3i−3i−3i-1-1-1-1-1-111−i−iii000000000000000000000000
χ40333333-3-3−3i−3i3i3i-1-1-1-1-1-111ii−i−i000000000000000000000000333333-3-3−3i−3i3i3i-1-1-1-1-1-111ii−i−i000000000000000000000000
χ413-333-3-33i−3i3ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ130000000000000000000000003-333-3-33i−3i3ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000000000000000000000
χ423-333-3-33i−3i−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ130000000000000000000000003-333-3-33i−3i−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000000000000000000000
χ433-333-3-3−3i3i3ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ230000000000000000000000003-333-3-3−3i3i3ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000000000000000000000
χ443-333-3-3−3i3i−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ230000000000000000000000003-333-3-3−3i3i−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000000000000000000000
χ4512123-63-6000000-4-4-12-1200000000000000000000000000000012123-63-6000000-4-4-12-12000000000000000000000000000000
χ461212-63-63000000-4-42-12-10000000000000000000000000000001212-63-63000000-4-42-12-1000000000000000000000000000000
χ4712-123-6-36000000-44-121-200000000000000000000000000000012-123-6-36000000-44-121-2000000000000000000000000000000
χ4812-12-636-3000000-442-1-2100000000000000000000000000000012-12-636-3000000-442-1-21000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii
χ52111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i
χ531-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ541-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ551-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ561-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ57441-21-2000000441-21-2000000441-21-2000000441-21-2000000-4-4-12-12000000-4-4-12-12000000-4-4-12-12000000-4-4-12-12000000
χ5844-21-2100000044-21-2100000044-21-2100000044-21-21000000-4-42-12-1000000-4-42-12-1000000-4-42-12-1000000-4-42-12-1000000
χ594-41-2-120000004-41-2-120000004-41-2-120000004-41-2-12000000-44-121-2000000-44-121-2000000-44-121-2000000-44-121-2000000
χ604-4-212-10000004-4-212-10000004-4-212-10000004-4-212-1000000-442-1-21000000-442-1-21000000-442-1-21000000-442-1-21000000
χ61111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ6211111111-1-1-1-111111111-1-1-1-1−1+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+i32-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111−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
χ63111111-1-1ii−i−i111111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii1−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ64111111-1-1−i−iii111111-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i1−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ651-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ51+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13
χ661-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ51+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13
χ671-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7
χ681-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7
χ69441-21-2000000441-21-2000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000-4-4-12-12000000-4-4-12-120000002−2i32−2i31−i32−1+i31−i32−1+i30000002+2i32+2i31+i32−1−i31+i32−1−i3000000
χ7044-21-2100000044-21-21000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000-4-42-12-1000000-4-42-12-10000002−2i32−2i3−1+i31−i32−1+i31−i320000002+2i32+2i3−1−i31+i32−1−i31+i32000000
χ714-41-2-120000004-41-2-12000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000-44-121-2000000-44-121-20000002−2i3−2+2i31−i32−1+i3−1+i321−i30000002+2i3−2−2i31+i32−1−i3−1−i321+i3000000
χ724-4-212-10000004-4-212-1000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000-442-1-21000000-442-1-210000002−2i3−2+2i3−1+i31−i321−i3−1+i320000002+2i3−2−2i3−1−i31+i321+i3−1−i32000000
χ73111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ7411111111-1-1-1-111111111-1-1-1-1−1−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−i32-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111+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
χ75111111-1-1ii−i−i111111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii1+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ76111111-1-1−i−iii111111-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i1+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ771-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5
χ781-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5
χ791-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ71−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23
χ801-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ71−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23
χ81441-21-2000000441-21-2000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000-4-4-12-12000000-4-4-12-120000002+2i32+2i31+i32−1−i31+i32−1−i30000002−2i32−2i31−i32−1+i31−i32−1+i3000000
χ8244-21-2100000044-21-21000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000-4-42-12-1000000-4-42-12-10000002+2i32+2i3−1−i31+i32−1−i31+i320000002−2i32−2i3−1+i31−i32−1+i31−i32000000
χ834-41-2-120000004-41-2-12000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000-44-121-2000000-44-121-20000002+2i3−2−2i31+i32−1−i3−1−i321+i30000002−2i3−2+2i31−i32−1+i3−1+i321−i3000000
χ844-4-212-10000004-4-212-1000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000-442-1-21000000-442-1-210000002+2i3−2−2i3−1−i31+i321+i3−1−i320000002−2i3−2+2i3−1+i31−i321−i3−1+i32000000
χ85333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3111111111111000000000000000000000000
χ8633333333-3-3-3-3-1-1-1-1-1-1-1-11111000000000000000000000000-3-3-3-3-3-3-3-3333311111111-1-1-1-1000000000000000000000000
χ87333333-3-33i3i−3i−3i-1-1-1-1-1-111−i−iii000000000000000000000000-3-3-3-3-3-333−3i−3i3i3i111111-1-1ii−i−i000000000000000000000000
χ88333333-3-3−3i−3i3i3i-1-1-1-1-1-111ii−i−i000000000000000000000000-3-3-3-3-3-3333i3i−3i−3i111111-1-1−i−iii000000000000000000000000
χ893-333-3-33i−3i3ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000000000000000000000-33-3-333−3i3i−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000000000000000000000
χ903-333-3-33i−3i−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000000000000000000000-33-3-333−3i3i3ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000000000000000000000
χ913-333-3-3−3i3i3ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000000000000000000000-33-3-3333i−3i−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000000000000000000000
χ923-333-3-3−3i3i−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000000000000000000000-33-3-3333i−3i3ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000000000000000000000
χ9312123-63-6000000-4-4-12-12000000000000000000000000000000-12-12-36-36000000441-21-2000000000000000000000000000000
χ941212-63-63000000-4-42-12-1000000000000000000000000000000-12-126-36-300000044-21-21000000000000000000000000000000
χ9512-123-6-36000000-44-121-2000000000000000000000000000000-1212-363-60000004-41-2-12000000000000000000000000000000
χ9612-12-636-3000000-442-1-21000000000000000000000000000000-12126-3-630000004-4-212-1000000000000000000000000000000

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