Finite Group Databasebeta

← Group #13140183

Character table — Group #13140183

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order1222223444466666121212123366666666661212121212121212366666666612121212121212121212121288888888242424242424242424242424242424242244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ61111-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ81111-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222-1222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000020200-1-100-1-1
χ10222222222222222222222-1222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000-20-200110011
χ1122222222222222222222-12-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-12-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222-2-2-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ142222222-2-2-2-222222-2-2-2-22-1222222-12-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000−i3i300−i3i3
χ152222222-2-2-2-222222-2-2-2-22-1222222-12-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000i3−i300i3−i3
χ162222222-2-2-2-222222-2-2-2-2-12-1-1-1-1-1-12-12211111111-122-1-1-1-1-1-1-1-2-2-2-211111111000000003333−3−3−3−33333−3−3−3−3000000000000
χ172222222-2-2-2-222222-2-2-2-2-12-1-1-1-1-1-12-12211111111-122-1-1-1-1-1-1-1-2-2-2-21111111100000000−3−3−3−33333−3−3−3−33333000000000000
χ182222-2-222-2-22222-2-222-2-22-122-2-2-2-2-12-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-11111000000000000000000000000020-200-1-10011
χ192222-2-222-2-22222-2-222-2-22-122-2-2-2-2-12-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-111110000000000000000000000000-202001100-1-1
χ202222-2-222-2-22222-2-222-2-2-12-1-111112-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ212222-2-222-2-22222-2-222-2-2-12-1-111112-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ222222-2-22-222-2222-2-2-2-2222222-2-2-2-22222-2-22222-2-22-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000000000000000000000000
χ232222-2-22-222-2222-2-2-2-2222-122-2-2-2-2-12-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-1000000000000000000000000000000−i3i300i3−i3
χ242222-2-22-222-2222-2-2-2-2222-122-2-2-2-2-12-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-1000000000000000000000000000000i3−i300−i3i3
χ252222-2-22-222-2222-2-2-2-222-12-1-111112-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000000000
χ262222-2-22-222-2222-2-2-2-222-12-1-111112-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000000000
χ2722-2-200202i−2i02-2-200002i−2i222-200002-2-2-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-2-200202i−2i02-2-200002i−2i222-200002-2-2-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-2-200202i−2i02-2-200002i−2i-12-11−i3−i3i3i321-2-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii22−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3022-2-200202i−2i02-2-200002i−2i-12-11−i3−i3i3i321-2-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3122-2-200202i−2i02-2-200002i−2i-12-11i3i3−i3−i321-2-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii22−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3222-2-200202i−2i02-2-200002i−2i-12-11i3i3−i3−i321-2-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3322-2-20020−2i2i02-2-20000−2i2i222-200002-2-2-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3422-2-20020−2i2i02-2-20000−2i2i222-200002-2-2-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3522-2-20020−2i2i02-2-20000−2i2i-12-11−i3−i3i3i321-2-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i22−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3622-2-20020−2i2i02-2-20000−2i2i-12-11−i3−i3i3i321-2-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3722-2-20020−2i2i02-2-20000−2i2i-12-11i3i3−i3−i321-2-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i22−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3822-2-20020−2i2i02-2-20000−2i2i-12-11i3i3−i3−i321-2-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ392-22-2002200-2-22-2002-20022-2-20000-222-2220000-2-2200-2-2000022-2002-22-2000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ402-22-2002200-2-22-2002-20022-2-20000-222-2220000-2-2200-2-2000022-2002-22-200000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ412-22-2002200-2-22-2002-200-1211−i3i3−i3i3-2-12-2-1-1−i3i3−i3i311-10011−i3i3−i3i3-12-200-11-11−i3i3−i3i300002i−2i2i−2i3−33−33−33−3−ii−ii−ii−ii000000000000
χ422-22-2002200-2-22-2002-200-1211−i3i3−i3i3-2-12-2-1-1−i3i3−i3i311-10011−i3i3−i3i3-12-200-11-11−i3i3−i3i30000−2i2i−2i2i−33−33−33−33i−ii−ii−ii−i000000000000
χ432-22-2002200-2-22-2002-200-1211i3−i3i3−i3-2-12-2-1-1i3−i3i3−i311-10011i3−i3i3−i3-12-200-11-11i3−i3i3−i300002i−2i2i−2i−33−33−33−33−ii−ii−ii−ii000000000000
χ442-22-2002200-2-22-2002-200-1211i3−i3i3−i3-2-12-2-1-1i3−i3i3−i311-10011i3−i3i3−i3-12-200-11-11i3−i3i3−i30000−2i2i−2i2i3−33−33−33−3i−ii−ii−ii−i000000000000
χ452-22-2002-2002-22-200-220022-2-20000-222-2-2-2000022200-2-200002-2200-22-2200002-22-200002-22-2-22-2200000000000000000000
χ462-22-2002-2002-22-200-220022-2-20000-222-2-2-2000022200-2-200002-2200-22-220000-22-220000-22-222-22-200000000000000000000
χ472-22-2002-2002-22-200-2200-1211−i3i3−i3i3-2-12-211i3−i3i3−i3-1-1-10011−i3i3−i3i3-1-22001-11-1i3−i3i3−i32-22-20000-11-111-11-1−i3i3−i3i3i3−i3i3−i3000000000000
χ482-22-2002-2002-22-200-2200-1211−i3i3−i3i3-2-12-211i3−i3i3−i3-1-1-10011−i3i3−i3i3-1-22001-11-1i3−i3i3−i3-22-2200001-11-1-11-11i3−i3i3−i3−i3i3−i3i3000000000000
χ492-22-2002-2002-22-200-2200-1211i3−i3i3−i3-2-12-211−i3i3−i3i3-1-1-10011i3−i3i3−i3-1-22001-11-1−i3i3−i3i32-22-20000-11-111-11-1i3−i3i3−i3−i3i3−i3i3000000000000
χ502-22-2002-2002-22-200-2200-1211i3−i3i3−i3-2-12-211−i3i3−i3i3-1-1-10011i3−i3i3−i3-1-22001-11-1−i3i3−i3i3-22-2200001-11-1-11-11−i3i3−i3i3i3−i3i3−i3000000000000
χ512-2-222-220000-2-222-2000022-222-2-22-2-2-220000000022-2-222-2-22-20000000000002−2−22−222−22−2−22−222−2−222−2−222−2000000000000
χ522-2-222-220000-2-222-2000022-222-2-22-2-2-220000000022-2-222-2-22-2000000000000−222−22−2−22−222−22−2−222−2−222−2−22000000000000
χ532-2-222-220000-2-222-20000-121-1-111-1-21-223−33−3−33−33-12-21-1-111-1100003−3−333−3−332−2−22−222−2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ542-2-222-220000-2-222-20000-121-1-111-1-21-223−33−3−33−33-12-21-1-111-1100003−3−333−3−33−222−22−2−22−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ552-2-222-220000-2-222-20000-121-1-111-1-21-22−33−333−33−3-12-21-1-111-110000−333−3−333−32−2−22−222−2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ562-2-222-220000-2-222-20000-121-1-111-1-21-22−33−333−33−3-12-21-1-111-110000−333−3−333−3−222−22−2−22−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ572-2-22-2220000-2-22-22000022-22-222-2-2-2-22000000002-22-22-222-2-20000000000002−2−222−2−222−2−22−222−22−2−222−2−22000000000000
χ582-2-22-2220000-2-22-22000022-22-222-2-2-2-22000000002-22-22-222-2-2000000000000−222−2−222−2−222−22−2−22−222−2−222−2000000000000
χ592-2-22-2220000-2-22-220000-121-11-1-11-21-223−3−333−3−33-1-221-11-1-11100003−3−33−333−32−2−222−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ602-2-22-2220000-2-22-220000-121-11-1-11-21-223−3−333−3−33-1-221-11-1-11100003−3−33−333−3−222−2−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ612-2-22-2220000-2-22-220000-121-11-1-11-21-22−333−3−333−3-1-221-11-1-1110000−333−33−3−332−2−222−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ622-2-22-2220000-2-22-220000-121-11-1-11-21-22−333−3−333−3-1-221-11-1-1110000−333−33−3−33−222−2−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ6344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-211111111000000000000000000000000000000000000
χ644444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2222222221-2-211111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ654444-4-444-4-44444-4-444-4-4-2-2-2-22222-2-2-2-2-2-22222-2-212211-1-1-1-11-2-2221111-1-1-1-1000000000000000000000000000000000000
χ664444-4-44-444-4444-4-4-4-444-2-2-2-22222-2-2-2-222-2-2-2-22212211-1-1-1-1122-2-2-1-1-1-11111000000000000000000000000000000000000
χ6744-4-400404i−4i04-4-400004i−4i4-24-40000-2-422004i4i−4i−4i00-200-220000200−2i2i0000−2i−2i2i2i000000000000000000000000000000000000
χ6844-4-400404i−4i04-4-400004i−4i-2-2-22−2i3−2i32i32i3-222223−23−2i−2i2i2i23−231001-1i3i3−i3−i3-100−2i2i−3−333ii−i−i000000000000000000000000000000000000
χ6944-4-400404i−4i04-4-400004i−4i-2-2-222i32i3−2i3−2i3-2222−2323−2i−2i2i2i−23231001-1−i3−i3i3i3-100−2i2i33−3−3ii−i−i000000000000000000000000000000000000
χ7044-4-40040−4i4i04-4-40000−4i4i4-24-40000-2-42200−4i−4i4i4i00-200-2200002002i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ7144-4-40040−4i4i04-4-40000−4i4i-2-2-22−2i3−2i32i32i3-2222−23232i2i−2i−2i−23231001-1i3i3−i3−i3-1002i−2i33−3−3−i−iii000000000000000000000000000000000000
χ7244-4-40040−4i4i04-4-40000−4i4i-2-2-222i32i3−2i3−2i3-222223−232i2i−2i−2i23−231001-1−i3−i3i3i3-1002i−2i−3−333−i−iii000000000000000000000000000000000000
χ734-44-4004400-4-44-4004-4004-2-4-4000024-22440000-4-4-200220000-2-2200-22-220000000000000000000000000000000000000000
χ744-44-4004400-4-44-4004-400-2-222−2i32i3−2i32i32-2-22-2-2−2i32i3−2i32i322100-1-1i3−i3i3−i31-22001-11-1i3−i3i3−i3000000000000000000000000000000000000
χ754-44-4004400-4-44-4004-400-2-2222i3−2i32i3−2i32-2-22-2-22i3−2i32i3−2i322100-1-1−i3i3−i3i31-22001-11-1−i3i3−i3i3000000000000000000000000000000000000
χ764-44-4004-4004-44-400-44004-2-4-4000024-22-4-4000044-200220000-22-2002-22-20000000000000000000000000000000000000000
χ774-44-4004-4004-44-400-4400-2-222−2i32i3−2i32i32-2-22222i3−2i32i3−2i3-2-2100-1-1i3−i3i3−i312-200-11-11−i3i3−i3i3000000000000000000000000000000000000
χ784-44-4004-4004-44-400-4400-2-2222i3−2i32i3−2i32-2-2222−2i32i3−2i32i3-2-2100-1-1−i3i3−i3i312-200-11-11i3−i3i3−i3000000000000000000000000000000000000
χ794-4-444-440000-4-444-400004-2-444-4-442-42-200000000-2-222-2-222-22000000000000000000000000000000000000000000000000
χ804-4-444-440000-4-444-40000-2-22-2-222-2222-223−2323−23−2323−23231-22-111-1-11-10000−333−3−333−3000000000000000000000000000000000000
χ814-4-444-440000-4-444-40000-2-22-2-222-2222-2−2323−232323−2323−231-22-111-1-11-100003−3−333−3−33000000000000000000000000000000000000
χ824-4-44-4440000-4-44-4400004-2-44-444-42-42-200000000-22-22-22-2-222000000000000000000000000000000000000000000000000
χ834-4-44-4440000-4-44-440000-2-22-22-2-22222-223−23−232323−23−232312-2-11-111-1-10000−333−33−3−33000000000000000000000000000000000000
χ844-4-44-4440000-4-44-440000-2-22-22-2-22222-2−232323−23−232323−2312-2-11-111-1-100003−3−33−333−3000000000000000000000000000000000000
χ85666666-36666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000002020-1-100-1-100
χ86666666-36666-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000-20-2011001100
χ87666666-3-6-6-6-6-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000000−i3i300−i3i300
χ88666666-3-6-6-6-6-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000000i3−i300i3−i300
χ896666-6-6-36-6-66-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000020-20-1-1001100
χ906666-6-6-36-6-66-3-3-333-3-333000000000000000000000000000000000000000000000000000000000000000000-20201100-1-100
χ916666-6-6-3-666-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000−i3i300i3−i300
χ926666-6-6-3-666-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000i3−i300−i3i300
χ931212-12-1200-6012i−12i0-6660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-1200-60−12i12i0-66600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-1200-61200-126-6600-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-1200-6-1200126-66006-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-121212-12-6000066-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-1212-6000066-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000

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