Finite Group Databasebeta

← Group #13180663

Character table — Group #13180663

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111144444444999999999999333312121212121212122727272727272727272727274444161616161616161636363636363636363636363644441616161616161616363636363636363636363636
order1244336612121212224488888888224466661212121222448888888836121233661212121266121224242424242424243612123366121212126612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1iiii−i−i−i−i
χ4111111111111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1−i−i−i−iiiii
χ511-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-111-1-1ii−i−iii−i−i
χ611-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-111-1-1−i−iii−i−iii
χ711-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ811-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ91-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ101-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ111-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ121-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ131-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ151-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ161-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1744441-21-21-21-200000000000044441-21-21-21-200000000000044441-21-21-21-200000000000044441-21-21-21-2000000000000
χ184444-21-21-21-210000000000004444-21-21-21-210000000000004444-21-21-21-210000000000004444-21-21-21-21000000000000
χ1944-4-41-21-2-12-1200000000000044-4-41-21-2-12-1200000000000044-4-41-21-2-12-1200000000000044-4-41-21-2-12-12000000000000
χ2044-4-4-21-212-12-100000000000044-4-4-21-212-12-100000000000044-4-4-21-212-12-100000000000044-4-4-21-212-12-1000000000000
χ214-44i−4i1-2-12i−2i−i2i0000000000004-44i−4i1-2-12i−2i−i2i0000000000004-44i−4i1-2-12i−2i−i2i0000000000004-44i−4i1-2-12i−2i−i2i000000000000
χ224-44i−4i-212-1−2ii2i−i0000000000004-44i−4i-212-1−2ii2i−i0000000000004-44i−4i-212-1−2ii2i−i0000000000004-44i−4i-212-1−2ii2i−i000000000000
χ234-4−4i4i1-2-12−i2ii−2i0000000000004-4−4i4i1-2-12−i2ii−2i0000000000004-4−4i4i1-2-12−i2ii−2i0000000000004-4−4i4i1-2-12−i2ii−2i000000000000
χ244-4−4i4i-212-12i−i−2ii0000000000004-4−4i4i-212-12i−i−2ii0000000000004-4−4i4i-212-12i−i−2ii0000000000004-4−4i4i-212-12i−i−2ii000000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−1+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+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+i32
χ27111111111111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1iiii−i−i−i−i−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−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1−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+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22
χ28111111111111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1−i−i−i−iiiii−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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22
χ2911-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-11111-1-1-1-111-1-1ii−i−iii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ3011-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-11111-1-1-1-111-1-1−i−iii−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ3111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3211-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1−1+i32−1+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+i321−i321−i32−1−i32−1−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−i321+i321+i32
χ331-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13
χ341-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13
χ351-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i11-1-1ii−i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7
χ361-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i11-1-1ii−i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7
χ371-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7
χ381-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7
χ391-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii11-1-1−i−iii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13
χ401-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii11-1-1−i−iii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13
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χ921212-12-12-63-636-36-3000000000000-4-4442-12-1-21-21000000000000000000000000000000000000000000000000000000000000
χ9312-1212i−12i3-6-363i−6i−3i6i000000000000-44−4i4i-121-2−i2ii−2i000000000000000000000000000000000000000000000000000000000000
χ9412-1212i−12i-636-3−6i3i6i−3i000000000000-44−4i4i2-1-212i−i−2ii000000000000000000000000000000000000000000000000000000000000
χ9512-12−12i12i3-6-36−3i6i3i−6i000000000000-444i−4i-121-2i−2i−i2i000000000000000000000000000000000000000000000000000000000000
χ9612-12−12i12i-636-36i−3i−6i3i000000000000-444i−4i2-1-21−2ii2i−i000000000000000000000000000000000000000000000000000000000000

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