Finite Group Databasebeta

← Group #11720708

Character table — Group #11720708

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11111111111199999999999918181818181818181818181818181818181818181818181818181818181818181818181824242424
order12334466121212122244666612121212444488888888121212121212121224242424242424242424242424242424361212
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ61111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ71111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ81111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ91-111i−i-1-1ii−i−i1-1i−i11-1-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i
χ101-111i−i-1-1ii−i−i1-1i−i11-1-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i
χ111-111i−i-1-1ii−i−i1-1i−i11-1-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i
χ121-111i−i-1-1ii−i−i1-1i−i11-1-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i
χ131-111−ii-1-1−i−iii1-1−ii11-1-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii
χ141-111−ii-1-1−i−iii1-1−ii11-1-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii
χ151-111−ii-1-1−i−iii1-1−ii11-1-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii
χ161-111−ii-1-1−i−iii1-1−ii11-1-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii
χ17222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222
χ182222-2-222-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000000022-2-2
χ192-2222i−2i-2-22i2i−2i−2i-22−2i2i-2-222−2i−2i2i2i0000000000000000000000000000000000002-22i−2i
χ202-222−2i2i-2-2−2i−2i2i2i-222i−2i-2-2222i2i−2i−2i0000000000000000000000000000000000002-2−2i2i
χ2133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−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+i320000
χ2233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000
χ2333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-11111-1-1-1-11+i321−i321+i321−i321+i321−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−i320000
χ2433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000
χ2533−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000
χ2633−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000
χ2733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1-111ii−i−i−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000
χ2833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1-111−i−iiiii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000
χ2933−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+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−i320000
χ3033−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i320000
χ3133−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-11111-1-1-1-11−i321+i321−i321+i321−i321+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+i320000
χ3233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-1-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000
χ3333−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ3433−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ3533−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1-111ii−i−i−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ3633−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1-111−i−iiiii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ373-3−3−3i32−3+3i323i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ14-11−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ141-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14−ζ7−ζ23ζ7ζ23ζ13ζ5−ζ13−ζ5−ζ7−ζ23ζ7ζ23ζ13ζ5−ζ13−ζ50000
χ383-3−3−3i32−3+3i323i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ14-11−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ141-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14ζ7ζ23−ζ7−ζ23−ζ13−ζ5ζ13ζ5ζ7ζ23−ζ7−ζ23−ζ13−ζ5ζ13ζ50000
χ393-3−3−3i32−3+3i323i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ14-11−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14−ζ7−ζ23ζ7ζ23ζ13ζ5−ζ13−ζ5ζ7ζ23−ζ7−ζ23−ζ13−ζ5ζ13ζ50000
χ403-3−3−3i32−3+3i323i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ14-11−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14ζ7ζ23−ζ7−ζ23−ζ13−ζ5ζ13ζ5−ζ7−ζ23ζ7ζ23ζ13ζ5−ζ13−ζ50000
χ413-3−3−3i32−3+3i32−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14-11i−i1+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ141-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14ζ13ζ5−ζ13−ζ5−ζ7−ζ23ζ7ζ23ζ13ζ5−ζ13−ζ5−ζ7−ζ23ζ7ζ230000
χ423-3−3−3i32−3+3i32−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14-11i−i1+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ141-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14−ζ13−ζ5ζ13ζ5ζ7ζ23−ζ7−ζ23−ζ13−ζ5ζ13ζ5ζ7ζ23−ζ7−ζ230000
χ433-3−3−3i32−3+3i32−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14-11i−i1+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14ζ13ζ5−ζ13−ζ5−ζ7−ζ23ζ7ζ23−ζ13−ζ5ζ13ζ5ζ7ζ23−ζ7−ζ230000
χ443-3−3−3i32−3+3i32−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14-11i−i1+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14−ζ13−ζ5ζ13ζ5ζ7ζ23−ζ7−ζ23ζ13ζ5−ζ13−ζ5−ζ7−ζ23ζ7ζ230000
χ453-3−3+3i32−3−3i323i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ22-11−ii1−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ221-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1−i321−i321+i32ζ14ζ22−ζ14−ζ22−ζ23−ζ7ζ23ζ7ζ5ζ13−ζ5−ζ13−ζ23−ζ7ζ23ζ7ζ5ζ13−ζ5−ζ130000
χ463-3−3+3i32−3−3i323i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ22-11−ii1−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ221-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1−i321−i321+i32ζ14ζ22−ζ14−ζ22ζ23ζ7−ζ23−ζ7−ζ5−ζ13ζ5ζ13ζ23ζ7−ζ23−ζ7−ζ5−ζ13ζ5ζ130000
χ473-3−3+3i32−3−3i323i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ22-11−ii1−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22−ζ23−ζ7ζ23ζ7ζ5ζ13−ζ5−ζ13ζ23ζ7−ζ23−ζ7−ζ5−ζ13ζ5ζ130000
χ483-3−3+3i32−3−3i323i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ22-11−ii1−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22ζ23ζ7−ζ23−ζ7−ζ5−ζ13ζ5ζ13−ζ23−ζ7ζ23ζ7ζ5ζ13−ζ5−ζ130000
χ493-3−3+3i32−3−3i32−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22-11i−i1−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ221-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22ζ5ζ13−ζ5−ζ13−ζ23−ζ7ζ23ζ7ζ5ζ13−ζ5−ζ13−ζ23−ζ7ζ23ζ70000
χ503-3−3+3i32−3−3i32−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22-11i−i1−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ221-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22−ζ5−ζ13ζ5ζ13ζ23ζ7−ζ23−ζ7−ζ5−ζ13ζ5ζ13ζ23ζ7−ζ23−ζ70000
χ513-3−3+3i32−3−3i32−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22-11i−i1−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22ζ5ζ13−ζ5−ζ13−ζ23−ζ7ζ23ζ7−ζ5−ζ13ζ5ζ13ζ23ζ7−ζ23−ζ70000
χ523-3−3+3i32−3−3i32−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22-11i−i1−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22−ζ5−ζ13ζ5ζ13ζ23ζ7−ζ23−ζ7ζ5ζ13−ζ5−ζ13−ζ23−ζ7ζ23ζ70000
χ5366−3−3i3−3+3i366−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i32222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000000000000000000000000000000000000000
χ5466−3−3i3−3+3i3-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i322-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000000000000000000000000000000000000000
χ5566−3+3i3−3−3i366−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i32222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000000000000000000000000000000000000000
χ5666−3+3i3−3−3i3-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i322-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000000000000000000000000000000000000000
χ576-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ226ζ14−6ζ22−6ζ142-22i−2i−1−i3−1+i31+i31−i32ζ222ζ14−2ζ22−2ζ140000000000000000000000000000000000000000
χ586-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ22−6ζ146ζ226ζ142-2−2i2i−1−i3−1+i31+i31−i3−2ζ22−2ζ142ζ222ζ140000000000000000000000000000000000000000
χ596-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ222-22i−2i−1+i3−1−i31−i31+i32ζ142ζ22−2ζ14−2ζ220000000000000000000000000000000000000000
χ606-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ222-2−2i2i−1+i3−1−i31−i31+i3−2ζ14−2ζ222ζ142ζ220000000000000000000000000000000000000000
χ61888888888888000000000000000000000000000000000000000000000000-1-1-1-1
χ628888-8-888-8-8-8-8000000000000000000000000000000000000000000000000-1-111
χ638-8888i−8i-8-88i8i−8i−8i000000000000000000000000000000000000000000000000-11−ii
χ648-888−8i8i-8-8−8i−8i8i8i000000000000000000000000000000000000000000000000-11i−i

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