Finite Group Databasebeta

← Group #5313

Character table — Group #5313

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112224411222441122244112224411222441122244112224411222441122244112224411222441122244
order124884444488442248844444884436122424121212121224241212661224241212121212242412123612242412121212122424121266122424121212121224241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-111111-1-1
χ3111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1
χ4111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11111-1-1-11
χ522-2000022-2000022-2000022-2000022-2000022-2000022-2000022-2000022-2000022-2000022-2000022-20000
χ62-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−2002-202−200
χ72-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−22002-20−2200
χ81111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i1111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i1111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i
χ911111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii11111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii11111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii
χ10111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii
χ11111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i
χ1222-200002i2i−2i0000-2-220000−2i−2i2i000022-200002i2i−2i0000-2-220000−2i−2i2i000022-200002i2i−2i0000-2-220000−2i−2i2i0000
χ132-202−2002i−2i0i2−i200-220−2200−2i2i0−i2i2002-202−2002i−2i0i2−i200-220−2200−2i2i0−i2i2002-202−2002i−2i0i2−i200-220−2200−2i2i0−i2i200
χ142-20−22002i−2i0−i2i200-2202−200−2i2i0i2−i2002-20−22002i−2i0−i2i200-2202−200−2i2i0i2−i2002-20−22002i−2i0−i2i200-2202−200−2i2i0i2−i200
χ151111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ1611111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111
χ17111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11
χ18111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1
χ1922-20000-2-22000022-20000-2-22000022-20000-2-22000022-20000-2-22000022-20000-2-22000022-20000-2-220000
χ202-202−200-220−22002-202−200-220−22002-202−200-220−22002-202−200-220−22002-202−200-220−22002-202−200-220−2200
χ212-20−2200-2202−2002-20−2200-2202−2002-20−2200-2202−2002-20−2200-2202−2002-20−2200-2202−2002-20−2200-2202−200
χ221111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii1111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii1111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii
χ2311111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i11111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i11111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i
χ24111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i
χ25111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii
χ2622-20000−2i−2i2i0000-2-2200002i2i−2i000022-20000−2i−2i2i0000-2-2200002i2i−2i000022-20000−2i−2i2i0000-2-2200002i2i−2i0000
χ272-202−200−2i2i0−i2i200-220−22002i−2i0i2−i2002-202−200−2i2i0−i2i200-220−22002i−2i0i2−i2002-202−200−2i2i0−i2i200-220−22002i−2i0i2−i200
χ282-20−2200−2i2i0i2−i200-2202−2002i−2i0−i2i2002-20−2200−2i2i0i2−i200-2202−2002i−2i0−i2i2002-20−2200−2i2i0i2−i200-2202−2002i−2i0−i2i200
χ291111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3011111-1-111111-1-111111-1-111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ31111-1-11-1111-1-11-1111-1-11-1111-1-11-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ32111-1-1-11111-1-1-11111-1-1-11111-1-1-11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3322-2000022-2000022-2000022-20000−1+i3−1+i31−i30000−1+i3−1+i31−i30000−1+i3−1+i31−i30000−1+i3−1+i31−i30000−1−i3−1−i31+i30000−1−i3−1−i31+i30000−1−i3−1−i31+i30000−1−i3−1−i31+i30000
χ342-202−2002-202−2002-202−2002-202−200−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300
χ352-20−22002-20−22002-20−22002-20−2200−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300
χ361111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14ζ14ζ14ζ14ζ14ζ141−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22ζ22ζ22ζ22ζ22ζ221+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22
χ3711111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ38111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ141−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ221+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22
χ39111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22
χ4022-200002i2i−2i0000-2-220000−2i−2i2i0000−1+i3−1+i31−i300002ζ142ζ14−2ζ1400001−i31−i3−1+i30000−2ζ14−2ζ142ζ140000−1−i3−1−i31+i300002ζ222ζ22−2ζ2200001+i31+i3−1−i30000−2ζ22−2ζ222ζ220000
χ412-202−2002i−2i0i2−i200-220−2200−2i2i0−i2i200−1+i31−i30ζ5−ζ23−ζ5+ζ23002ζ14−2ζ140−ζ5−ζ23ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300−2ζ142ζ140ζ5+ζ23−ζ5−ζ2300−1−i31+i30−ζ7+ζ13ζ7−ζ13002ζ22−2ζ220−ζ7−ζ13ζ7+ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300−2ζ222ζ220ζ7+ζ13−ζ7−ζ1300
χ422-20−22002i−2i0−i2i200-2202−200−2i2i0i2−i200−1+i31−i30−ζ5+ζ23ζ5−ζ23002ζ14−2ζ140ζ5+ζ23−ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300−2ζ142ζ140−ζ5−ζ23ζ5+ζ2300−1−i31+i30ζ7−ζ13−ζ7+ζ13002ζ22−2ζ220ζ7+ζ13−ζ7−ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300−2ζ222ζ220−ζ7−ζ13ζ7+ζ1300
χ431111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ4411111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ45111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ46111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ4722-20000-2-22000022-20000-2-220000−1+i3−1+i31−i300001−i31−i3−1+i30000−1+i3−1+i31−i300001−i31−i3−1+i30000−1−i3−1−i31+i300001+i31+i3−1−i30000−1−i3−1−i31+i300001+i31+i3−1−i30000
χ482-202−200-220−22002-202−200-220−2200−1+i31−i30ζ5−ζ23−ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300−1−i31+i30−ζ7+ζ13ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300
χ492-20−2200-2202−2002-20−2200-2202−200−1+i31−i30−ζ5+ζ23ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300−1−i31+i30ζ7−ζ13−ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300
χ501111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22
χ5111111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ52111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ141−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ221+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22
χ53111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22
χ5422-20000−2i−2i2i0000-2-2200002i2i−2i0000−1+i3−1+i31−i30000−2ζ14−2ζ142ζ1400001−i31−i3−1+i300002ζ142ζ14−2ζ140000−1−i3−1−i31+i30000−2ζ22−2ζ222ζ2200001+i31+i3−1−i300002ζ222ζ22−2ζ220000
χ552-202−200−2i2i0−i2i200-220−22002i−2i0i2−i200−1+i31−i30ζ5−ζ23−ζ5+ζ2300−2ζ142ζ140ζ5+ζ23−ζ5−ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ23002ζ14−2ζ140−ζ5−ζ23ζ5+ζ2300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−2ζ222ζ220ζ7+ζ13−ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ13002ζ22−2ζ220−ζ7−ζ13ζ7+ζ1300
χ562-20−2200−2i2i0i2−i200-2202−2002i−2i0−i2i200−1+i31−i30−ζ5+ζ23ζ5−ζ2300−2ζ142ζ140−ζ5−ζ23ζ5+ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ23002ζ14−2ζ140ζ5+ζ23−ζ5−ζ2300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−2ζ222ζ220−ζ7−ζ13ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ13002ζ22−2ζ220ζ7+ζ13−ζ7−ζ1300
χ571111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5811111-1-111111-1-111111-1-111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ59111-1-11-1111-1-11-1111-1-11-1111-1-11-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ60111-1-1-11111-1-1-11111-1-1-11111-1-1-11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ6122-2000022-2000022-2000022-20000−1−i3−1−i31+i30000−1−i3−1−i31+i30000−1−i3−1−i31+i30000−1−i3−1−i31+i30000−1+i3−1+i31−i30000−1+i3−1+i31−i30000−1+i3−1+i31−i30000−1+i3−1+i31−i30000
χ622-202−2002-202−2002-202−2002-202−200−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ1300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ2300
χ632-20−22002-20−22002-20−22002-20−2200−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ1300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ2300
χ641111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22ζ22ζ22ζ22ζ22ζ221+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14ζ14ζ14ζ14ζ14ζ141−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14
χ6511111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ66111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ221+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ141−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14
χ67111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14
χ6822-200002i2i−2i0000-2-220000−2i−2i2i0000−1−i3−1−i31+i300002ζ222ζ22−2ζ2200001+i31+i3−1−i30000−2ζ22−2ζ222ζ220000−1+i3−1+i31−i300002ζ142ζ14−2ζ1400001−i31−i3−1+i30000−2ζ14−2ζ142ζ140000
χ692-202−2002i−2i0i2−i200-220−2200−2i2i0−i2i200−1−i31+i30−ζ7+ζ13ζ7−ζ13002ζ22−2ζ220−ζ7−ζ13ζ7+ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300−2ζ222ζ220ζ7+ζ13−ζ7−ζ1300−1+i31−i30ζ5−ζ23−ζ5+ζ23002ζ14−2ζ140−ζ5−ζ23ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300−2ζ142ζ140ζ5+ζ23−ζ5−ζ2300
χ702-20−22002i−2i0−i2i200-2202−200−2i2i0i2−i200−1−i31+i30ζ7−ζ13−ζ7+ζ13002ζ22−2ζ220ζ7+ζ13−ζ7−ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300−2ζ222ζ220−ζ7−ζ13ζ7+ζ1300−1+i31−i30−ζ5+ζ23ζ5−ζ23002ζ14−2ζ140ζ5+ζ23−ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300−2ζ142ζ140−ζ5−ζ23ζ5+ζ2300
χ711111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32
χ7211111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ73111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ74111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ7522-20000-2-22000022-20000-2-220000−1−i3−1−i31+i300001+i31+i3−1−i30000−1−i3−1−i31+i300001+i31+i3−1−i30000−1+i3−1+i31−i300001−i31−i3−1+i30000−1+i3−1+i31−i300001−i31−i3−1+i30000
χ762-202−200-220−22002-202−200-220−2200−1−i31+i30−ζ7+ζ13ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300−1−i31+i30−ζ7+ζ13ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ1300−1+i31−i30ζ5−ζ23−ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300−1+i31−i30ζ5−ζ23−ζ5+ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ2300
χ772-20−2200-2202−2002-20−2200-2202−200−1−i31+i30ζ7−ζ13−ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300−1−i31+i30ζ7−ζ13−ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ1300−1+i31−i30−ζ5+ζ23ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300−1+i31−i30−ζ5+ζ23ζ5−ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ2300
χ781111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14
χ7911111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ80111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ221+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ141−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14
χ81111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14
χ8222-20000−2i−2i2i0000-2-2200002i2i−2i0000−1−i3−1−i31+i30000−2ζ22−2ζ222ζ2200001+i31+i3−1−i300002ζ222ζ22−2ζ220000−1+i3−1+i31−i30000−2ζ14−2ζ142ζ1400001−i31−i3−1+i300002ζ142ζ14−2ζ140000
χ832-202−200−2i2i0−i2i200-220−22002i−2i0i2−i200−1−i31+i30−ζ7+ζ13ζ7−ζ1300−2ζ222ζ220ζ7+ζ13−ζ7−ζ13001+i3−1−i30ζ7−ζ13−ζ7+ζ13002ζ22−2ζ220−ζ7−ζ13ζ7+ζ1300−1+i31−i30ζ5−ζ23−ζ5+ζ2300−2ζ142ζ140ζ5+ζ23−ζ5−ζ23001−i3−1+i30−ζ5+ζ23ζ5−ζ23002ζ14−2ζ140−ζ5−ζ23ζ5+ζ2300
χ842-20−2200−2i2i0i2−i200-2202−2002i−2i0−i2i200−1−i31+i30ζ7−ζ13−ζ7+ζ1300−2ζ222ζ220−ζ7−ζ13ζ7+ζ13001+i3−1−i30−ζ7+ζ13ζ7−ζ13002ζ22−2ζ220ζ7+ζ13−ζ7−ζ1300−1+i31−i30−ζ5+ζ23ζ5−ζ2300−2ζ142ζ140−ζ5−ζ23ζ5+ζ23001−i3−1+i30ζ5−ζ23−ζ5+ζ23002ζ14−2ζ140ζ5+ζ23−ζ5−ζ2300

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