Finite Group Databasebeta

← Group #13137419

Character table — Group #13137419

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order1222344444466612121212121233666666121212121212121212121212366612121212121212121212121212121212121288888888242424242424242424242424242424242244666612121212
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
χ511111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ811111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000020200-1-100-1-1
χ10222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000-20-200110011
χ1122222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222-2-2-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ142222222-2-2-2-222222-2-2-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-11111000000000000000000000000000000−i3i300−i3i3
χ152222222-2-2-2-222222-2-2-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-11111000000000000000000000000000000i3−i300i3−i3
χ162222222-2-2-2-222222-2-2-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-122-2-2-2-21111-1-1-1-11111000000003333−3−3−3−33333−3−3−3−3000000000000
χ172222222-2-2-2-222222-2-2-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-122-2-2-2-21111-1-1-1-1111100000000−3−3−3−33333−3−3−3−33333000000000000
χ1822222-2-222-2-2222-2-222-2-222222222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ1922222-2-222-2-2222-2-222-2-22-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-111-1-11111111111-1-1-1-1000000000000000000000000000000−i3i300i3−i3
χ2022222-2-222-2-2222-2-222-2-22-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-111-1-11111111111-1-1-1-1000000000000000000000000000000i3−i300−i3i3
χ2122222-2-222-2-2222-2-222-2-2-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-222-2-211111111-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000000000
χ2222222-2-222-2-2222-2-222-2-2-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-222-2-211111111-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000000000
χ2322222-2-2-2-222222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-111111111000000000000000000000000020-200-1-10011
χ2422222-2-2-2-222222-2-2-2-2222-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1111111110000000000000000000000000-202001100-1-1
χ2522222-2-2-2-222222-2-2-2-222-12-1-1-122211111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222-2-2-2-222222-2-2-2-222-12-1-1-122211111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722-2-22002i−2i002-2-2002i−2i00222-2-22-2-200002i2i−2i−2i000022-2-2002i−2i00000000002i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-2-22002i−2i002-2-2002i−2i00222-2-22-2-200002i2i−2i−2i000022-2-2002i−2i00000000002i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-2-22002i−2i002-2-2002i−2i00-12-1112-2-2−i3−i3i3i3−i−iii33−3−3-1-111002i−2i0033−3−3−i3−i3i3i3−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
χ3022-2-22002i−2i002-2-2002i−2i00-12-1112-2-2−i3−i3i3i3−i−iii33−3−3-1-111002i−2i0033−3−3−i3−i3i3i3−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
χ3122-2-22002i−2i002-2-2002i−2i00-12-1112-2-2i3i3−i3−i3−i−iii−3−333-1-111002i−2i00−3−333i3i3−i3−i3−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
χ3222-2-22002i−2i002-2-2002i−2i00-12-1112-2-2i3i3−i3−i3−i−iii−3−333-1-111002i−2i00−3−333i3i3−i3−i3−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
χ3322-2-2200−2i2i002-2-200−2i2i00222-2-22-2-20000−2i−2i2i2i000022-2-200−2i2i0000000000−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3422-2-2200−2i2i002-2-200−2i2i00222-2-22-2-20000−2i−2i2i2i000022-2-200−2i2i0000000000−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3522-2-2200−2i2i002-2-200−2i2i00-12-1112-2-2−i3−i3i3i3ii−i−i−3−333-1-11100−2i2i00−3−333−i3−i3i3i3ii−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
χ3622-2-2200−2i2i002-2-200−2i2i00-12-1112-2-2−i3−i3i3i3ii−i−i−3−333-1-11100−2i2i00−3−333−i3−i3i3i3ii−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
χ3722-2-2200−2i2i002-2-200−2i2i00-12-1112-2-2i3i3−i3−i3ii−i−i33−3−3-1-11100−2i2i0033−3−3i3i3−i3−i3ii−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
χ3822-2-2200−2i2i002-2-200−2i2i00-12-1112-2-2i3i3−i3−i3ii−i−i33−3−3-1-11100−2i2i0033−3−3i3i3−i3−i3ii−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
χ392-22-222i−2i0000-22-22i−2i000022-22-2-22-22i−2i2i−2i000000002-22-22i−2i000000002i−2i2i−2i00002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-222i−2i0000-22-22i−2i000022-22-2-22-22i−2i2i−2i000000002-22-22i−2i000000002i−2i2i−2i0000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-222i−2i0000-22-22i−2i0000-121-11-22-2−ii−ii−i3i3−i3i33−33−3-11-112i−2i00003−33−3−ii−ii−i3i3−i3i32−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ422-22-222i−2i0000-22-22i−2i0000-121-11-22-2−ii−ii−i3i3−i3i33−33−3-11-112i−2i00003−33−3−ii−ii−i3i3−i3i3−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ432-22-222i−2i0000-22-22i−2i0000-121-11-22-2−ii−iii3−i3i3−i3−33−33-11-112i−2i0000−33−33−ii−iii3−i3i3−i32−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ442-22-222i−2i0000-22-22i−2i0000-121-11-22-2−ii−iii3−i3i3−i3−33−33-11-112i−2i0000−33−33−ii−iii3−i3i3−i3−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ452-22-22−2i2i0000-22-2−2i2i000022-22-2-22-2−2i2i−2i2i000000002-22-2−2i2i00000000−2i2i−2i2i00002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-22−2i2i0000-22-2−2i2i000022-22-2-22-2−2i2i−2i2i000000002-22-2−2i2i00000000−2i2i−2i2i0000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-22−2i2i0000-22-2−2i2i0000-121-11-22-2i−ii−i−i3i3−i3i3−33−33-11-11−2i2i0000−33−33i−ii−i−i3i3−i3i32−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ482-22-22−2i2i0000-22-2−2i2i0000-121-11-22-2i−ii−i−i3i3−i3i3−33−33-11-11−2i2i0000−33−33i−ii−i−i3i3−i3i3−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ492-22-22−2i2i0000-22-2−2i2i0000-121-11-22-2i−ii−ii3−i3i3−i33−33−3-11-11−2i2i00003−33−3i−ii−ii3−i3i3−i32−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ502-22-22−2i2i0000-22-2−2i2i0000-121-11-22-2i−ii−ii3−i3i3−i33−33−3-11-11−2i2i00003−33−3i−ii−ii3−i3i3−i3−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ512-2-22200002-2-2-2200002-222-2-22-2-22000000002-2-222-2-2200002-22-2-22000000002-2-2200002-2-222-2-2200000000000000000000
χ522-2-22200002-2-2-2200002-222-2-22-2-22000000002-2-222-2-2200002-22-2-2200000000-222-20000-222-2-222-200000000000000000000
χ532-2-22200002-2-2-2200002-2-1211-1-2-223−3−33−333−3-111-1-111-100002-2-111-13−3−33−333−32-2-220000-111-1-111-13−3−33−333−3000000000000
χ542-2-22200002-2-2-2200002-2-1211-1-2-223−3−33−333−3-111-1-111-100002-2-111-13−3−33−333−3-222-200001-1-111-1-11−333−33−3−33000000000000
χ552-2-22200002-2-2-2200002-2-1211-1-2-22−333−33−3−33-111-1-111-100002-2-111-1−333−33−3−332-2-220000-111-1-111-1−333−33−3−33000000000000
χ562-2-22200002-2-2-2200002-2-1211-1-2-22−333−33−3−33-111-1-111-100002-2-111-1−333−33−3−33-222-200001-1-111-1-113−3−33−333−3000000000000
χ572-2-2220000-22-2-220000-2222-2-22-2-2200000000-222-22-2-220000-22-222-20000000000002-2-22000000002-2-222-2-22000000000000
χ582-2-2220000-22-2-220000-2222-2-22-2-2200000000-222-22-2-220000-22-222-2000000000000-222-200000000-222-2-222-2000000000000
χ592-2-2220000-22-2-220000-22-1211-1-2-223−3−333−3−331-1-11-111-10000-221-1-113−3−333−3−3300002-2-22−333−33−3−33-111-1-111-1000000000000
χ602-2-2220000-22-2-220000-22-1211-1-2-223−3−333−3−331-1-11-111-10000-221-1-113−3−333−3−330000-222-23−3−33−333−31-1-111-1-11000000000000
χ612-2-2220000-22-2-220000-22-1211-1-2-22−333−3−333−31-1-11-111-10000-221-1-11−333−3−333−300002-2-223−3−33−333−3-111-1-111-1000000000000
χ622-2-2220000-22-2-220000-22-1211-1-2-22−333−3−333−31-1-11-111-10000-221-1-11−333−3−333−30000-222-2−333−33−3−331-1-111-1-11000000000000
χ6344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ644444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2222222221111-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6544444-4-444-4-4444-4-444-4-4-2-2-2-2-2-2-2-22222-2-2-2-22222111122-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6644444-4-4-4-444444-4-4-4-444-2-2-2-2-2-2-2-222222222-2-2-2-211112222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ6744-4-44004i−4i004-4-4004i−4i004-24-4-4-22200004i4i−4i−4i0000-2-22200−2i2i0000000000−2i−2i2i2i000000000000000000000000000000000000
χ6844-4-44004i−4i004-4-4004i−4i00-2-2-222-222−2i3−2i32i32i3−2i−2i2i2i2323−23−2311-1-100−2i2i00−3−333i3i3−i3−i3ii−i−i000000000000000000000000000000000000
χ6944-4-44004i−4i004-4-4004i−4i00-2-2-222-2222i32i3−2i3−2i3−2i−2i2i2i−23−23232311-1-100−2i2i0033−3−3−i3−i3i3i3ii−i−i000000000000000000000000000000000000
χ7044-4-4400−4i4i004-4-400−4i4i004-24-4-4-2220000−4i−4i4i4i0000-2-222002i−2i00000000002i2i−2i−2i000000000000000000000000000000000000
χ7144-4-4400−4i4i004-4-400−4i4i00-2-2-222-222−2i3−2i32i32i32i2i−2i−2i−23−23232311-1-1002i−2i0033−3−3i3i3−i3−i3−i−iii000000000000000000000000000000000000
χ7244-4-4400−4i4i004-4-400−4i4i00-2-2-222-2222i32i3−2i3−2i32i2i−2i−2i2323−23−2311-1-1002i−2i00−3−333−i3−i3i3i3−i−iii000000000000000000000000000000000000
χ734-44-444i−4i0000-44-44i−4i00004-2-44-42-224i−4i4i−4i00000000-22-22−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ744-44-444i−4i0000-44-44i−4i0000-2-22-222-22−2i2i−2i2i−2i32i3−2i32i323−2323−231-11-1−2i2i0000−33−33i−ii−ii3−i3i3−i3000000000000000000000000000000000000
χ754-44-444i−4i0000-44-44i−4i0000-2-22-222-22−2i2i−2i2i2i3−2i32i3−2i3−2323−23231-11-1−2i2i00003−33−3i−ii−i−i3i3−i3i3000000000000000000000000000000000000
χ764-44-44−4i4i0000-44-4−4i4i00004-2-44-42-22−4i4i−4i4i00000000-22-222i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ774-44-44−4i4i0000-44-4−4i4i0000-2-22-222-222i−2i2i−2i−2i32i3−2i32i3−2323−23231-11-12i−2i00003−33−3−ii−iii3−i3i3−i3000000000000000000000000000000000000
χ784-44-44−4i4i0000-44-4−4i4i0000-2-22-222-222i−2i2i−2i2i3−2i32i3−2i323−2323−231-11-12i−2i0000−33−33−ii−ii−i3i3−i3i3000000000000000000000000000000000000
χ794-4-44400004-4-4-4400004-44-2-4-4422-2000000004-4-44-222-20000-22-222-200000000000000000000000000000000000000000000
χ804-4-44400004-4-4-4400004-4-2-222-222-223−23−2323−232323−23-222-21-1-110000-221-1-11−333−33−3−33000000000000000000000000000000000000
χ814-4-44400004-4-4-4400004-4-2-222-222-2−232323−2323−23−2323-222-21-1-110000-221-1-113−3−33−333−3000000000000000000000000000000000000
χ824-4-4440000-44-4-440000-444-2-4-4422-200000000-444-4-222-200002-22-2-2200000000000000000000000000000000000000000000
χ834-4-4440000-44-4-440000-44-2-222-222-223−23−232323−23−23232-2-221-1-1100002-2-111-1−333−3−333−3000000000000000000000000000000000000
χ844-4-4440000-44-4-440000-44-2-222-222-2−232323−23−232323−232-2-221-1-1100002-2-111-13−3−333−3−33000000000000000000000000000000000000
χ856666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000002020-1-100-1-100
χ866666-3666666-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000-20-2011001100
χ876666-366-6-6-6-6-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000000−i3i300−i3i300
χ886666-366-6-6-6-6-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000000i3−i300i3−i300
χ896666-3-6-666-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000−i3i300i3−i300
χ906666-3-6-666-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000i3−i300−i3i300
χ916666-3-6-6-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000020-20-1-1001100
χ926666-3-6-6-6-666-3-3-33333-3-3000000000000000000000000000000000000000000000000000000000000000000-20201100-1-100
χ931212-12-12-60012i−12i00-66600−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-12-600−12i12i00-666006i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-612i−12i00006-66−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-6−12i12i00006-666i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212-6000012-1266-60000-66000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-60000-121266-600006-6000000000000000000000000000000000000000000000000000000000000000000000000000000

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