Finite Group Databasebeta

← Group #13147403

Character table — Group #13147403

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111112224449999991212121218181818181818181818181818181824242424242436363636363636363611111122244499999912121212181818181818181818181818181818242424242424363636363636363636
order12336641212266226666336648888121224242424242424246666121224466121212122266664121226622666666664888812122424242424242424666612122446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ3111111111111-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i111111-1i−i-1-1ii−i−i111111111111-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i111111-1i−i-1-1ii−i−i
χ4111111111111-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii111111-1−ii-1-1−i−iii111111111111-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii111111-1−ii-1-1−i−iii
χ5111111111-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ6111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ7111111111-1-1-1-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1111−ii11−i−iii111111111-1-1-1-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1111−ii11−i−iii
χ8111111111-1-1-1-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1111i−i11ii−i−i111111111-1-1-1-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1111i−i11ii−i−i
χ9222222-2-2-20002222222222-20000-2-2000000000000-2-2000000000222222-2-2-20002222222222-20000-2-2000000000000-2-2000000000
χ10222222-2-2-2000-2-2-2-2-2-222222000022000000000000-2-2000000000222222-2-2-2000-2-2-2-2-2-222222000022000000000000-2-2000000000
χ112-222-2-20000002-222-2-222-2-20−i2i2−i2i200−i2−i2i2i2−i2−i2i2i20000000000000002-222-2-20000002-222-2-222-2-20−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2000000000000000
χ122-222-2-20000002-222-2-222-2-20i2−i2i2−i200i2i2−i2−i2i2i2−i2−i20000000000000002-222-2-20000002-222-2-222-2-20i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2000000000000000
χ132-222-2-2000000-22-2-22222-2-202−2−220022−2−2−2−2220000000000000002-222-2-2000000-22-2-22222-2-202−2−220022−2−2−2−222000000000000000
χ142-222-2-2000000-22-2-22222-2-20−222−200−2−22222−2−20000000000000002-222-2-2000000-22-2-22222-2-20−222−200−2−22222−2−2000000000000000
χ1533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000001i−i−1−i32−1+i32ζ14ζ22−ζ14−ζ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000001i−i−1−i32−1+i32ζ14ζ22−ζ14−ζ22
χ1633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000001−ii−1−i32−1+i32−ζ14−ζ22ζ14ζ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000001−ii−1−i32−1+i32−ζ14−ζ22ζ14ζ22
χ1733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1111+i321−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1111+i321−i32−1+i32−1−i32−1+i32−1−i32
χ1833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-11+i321−i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-11+i321−i321−i321+i321−i321+i32
χ1933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000-1−ii1+i321−i32−ζ14−ζ22ζ14ζ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000-1−ii1+i321−i32−ζ14−ζ22ζ14ζ22
χ2033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000-1i−i1+i321−i32ζ14ζ22−ζ14−ζ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000-1i−i1+i321−i32ζ14ζ22−ζ14−ζ22
χ2133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-1−1−i32−1+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-1−1−i32−1+i321−i321+i321−i321+i32
χ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000001i−i−1+i32−1−i32ζ22ζ14−ζ22−ζ1433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000001i−i−1+i32−1−i32ζ22ζ14−ζ22−ζ14
χ2433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000001−ii−1+i32−1−i32−ζ22−ζ14ζ22ζ1433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000001−ii−1+i32−1−i32−ζ22−ζ14ζ22ζ14
χ2533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1111−i321+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1111−i321+i32−1−i32−1+i32−1−i32−1+i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-11−i321+i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-11−i321+i321+i321−i321+i321−i32
χ2733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000-1−ii1−i321+i32−ζ22−ζ14ζ22ζ1433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000-1−ii1−i321+i32−ζ22−ζ14ζ22ζ14
χ2833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000-1i−i1−i321+i32ζ22ζ14−ζ22−ζ1433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000-1i−i1−i321+i32ζ22ζ14−ζ22−ζ14
χ2933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-1−1+i32−1−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-1−1+i32−1−i321+i321−i321+i321−i32
χ3033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32
χ314444444444440000001-21-200000000000000011-2-21-20000000004444444444440000001-21-200000000000000011-2-21-2000000000
χ32444444444444000000-21-21000000000000000-2-211-21000000000444444444444000000-21-21000000000000000-2-211-21000000000
χ33444444444-4-4-40000001-21-2000000000000000-1-1221-2000000000444444444-4-4-40000001-21-2000000000000000-1-1221-2000000000
χ34444444444-4-4-4000000-21-2100000000000000022-1-1-21000000000444444444-4-4-4000000-21-2100000000000000022-1-1-21000000000
χ35444444-4-4-40000000001-21-20000000000000003-300-12000000000444444-4-4-40000000001-21-20000000000000003-300-12000000000
χ36444444-4-4-40000000001-21-2000000000000000-3300-12000000000444444-4-4-40000000001-21-2000000000000000-3300-12000000000
χ37444444-4-4-4000000000-21-21000000000000000003-32-1000000000444444-4-4-4000000000-21-21000000000000000003-32-1000000000
χ38444444-4-4-4000000000-21-2100000000000000000-332-1000000000444444-4-4-4000000000-21-2100000000000000000-332-1000000000
χ3966−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300022−1−i3−1+i3−1−i3−1+i30000-200001+i31−i30000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300022−1−i3−1+i3−1−i3−1+i30000-200001+i31−i300000000000000000000000
χ4066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000-2-21+i31−i31+i31−i3000020000−1−i3−1+i30000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000-2-21+i31−i31+i31−i3000020000−1−i3−1+i300000000000000000000000
χ4166−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300022−1+i3−1−i3−1+i3−1−i30000-200001−i31+i30000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300022−1+i3−1−i3−1+i3−1−i30000-200001−i31+i300000000000000000000000
χ4266−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000-2-21−i31+i31−i31+i3000020000−1+i3−1−i30000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000-2-21−i31+i31−i31+i3000020000−1+i3−1−i300000000000000000000000
χ436-6−3−3i3−3+3i33+3i33−3i30000002-2−1−i3−1+i31+i31−i3000002−2−2200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ130000000000000006-6−3−3i3−3+3i33+3i33−3i30000002-2−1−i3−1+i31+i31−i3000002−2−2200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000000
χ446-6−3−3i3−3+3i33+3i33−3i30000002-2−1−i3−1+i31+i31−i300000−222−200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ130000000000000006-6−3−3i3−3+3i33+3i33−3i30000002-2−1−i3−1+i31+i31−i300000−222−200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000000
χ456-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000−i2i2−i2i200ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000006-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000−i2i2−i2i200ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000000000000000
χ466-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000i2−i2i2−i200−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ130000000000000006-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000i2−i2i2−i200−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000000000000000
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χ486-6−3+3i3−3−3i33−3i33+3i30000002-2−1+i3−1−i31−i31+i300000−222−200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ230000000000000006-6−3+3i3−3−3i33−3i33+3i30000002-2−1+i3−1−i31−i31+i300000−222−200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000000
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χ966-6−3−3i3−3+3i33+3i33−3i30000002-2−1−i3−1+i31+i31−i300000−222−200−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000000000000-663+3i33−3i3−3−3i3−3+3i3000000-221+i31−i3−1−i3−1+i3000002−2−2200ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000000000000
χ976-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000−i2i2−i2i200ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000000000000000-663+3i33−3i3−3−3i3−3+3i30000002-2−1−i3−1+i31+i31−i300000i2−i2i2−i200−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000000000000000
χ986-6−3−3i3−3+3i33+3i33−3i3000000-221+i31−i3−1−i3−1+i300000i2−i2i2−i200−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000000000000000-663+3i33−3i3−3−3i3−3+3i30000002-2−1−i3−1+i31+i31−i300000−i2i2−i2i200ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000000000000000
χ996-6−3+3i3−3−3i33−3i33+3i30000002-2−1+i3−1−i31−i31+i3000002−2−2200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000000-663−3i33+3i3−3+3i3−3−3i3000000-221−i31+i3−1+i3−1−i300000−222−200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000000
χ1006-6−3+3i3−3−3i33−3i33+3i30000002-2−1+i3−1−i31−i31+i300000−222−200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000000-663−3i33+3i3−3+3i3−3−3i3000000-221−i31+i3−1+i3−1−i3000002−2−2200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000000
χ1016-6−3+3i3−3−3i33−3i33+3i3000000-221−i31+i3−1+i3−1−i300000−i2i2−i2i200ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000000000000000-663−3i33+3i3−3+3i3−3−3i30000002-2−1+i3−1−i31−i31+i300000i2−i2i2−i200−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000000000000000
χ1026-6−3+3i3−3−3i33−3i33+3i3000000-221−i31+i3−1+i3−1−i300000i2−i2i2−i200−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000000000000000-663−3i33+3i3−3+3i3−3−3i30000002-2−1+i3−1−i31−i31+i300000−i2i2−i2i200ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000000000000000
χ1038-888-8-80000000000002-4-24000000000000000000000000000000-88-8-888000000000000-242-4000000000000000000000000000000
χ1048-888-8-8000000000000-424-2000000000000000000000000000000-88-8-8880000000000004-2-42000000000000000000000000000000

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