Finite Group Databasebeta

← Group #13156356

Character table — Group #13156356

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222224444444444444444444444448888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424242436363636363636363672727272216
order12223334466666666612121212333666666666121212121212121212121212366612121212121288882424242424242424242424242424242424242424242424242424242424242424444121212121212121222444121212126612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111-1-111-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-11
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000220000000000000-222-2-200000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000-2-200000000000002-2-22200000
χ11222222-1222-122-1-122222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-1000000000000002-1-122-1-1-1-1220000000-1-1000
χ12222222-1222-122-1-122222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000-211-2-21111-2-2000000011000
χ13222222-1222-122-1-122222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000111111111111000000000000002-1-122-1-1-1-1-2-2000000011000
χ14222222-1222-122-1-122222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111111100000000000000-211-2-21111220000000-1-1000
χ1522222-1222222-122-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000000000002-1-1-1-100000
χ1622222-1222222-122-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-20000000000000-2111100000
χ1722222-1222222-122-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-20000000000000-2111100000
χ1822222-1222222-122-1-12-1-1-1-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111112200000000000002-1-1-1-100000
χ1922222-12-2-2222-122-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−333−3−300003333−3−3−3−300003333−3−3−3−3220000000000000-2-1-11100000
χ2022222-12-2-2222-122-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-20000000000000211-1-100000
χ2122222-12-2-2222-122-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111-1-1-1-1-2-211110000−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-20000000000000211-1-100000
χ2222222-12-2-2222-122-1-121111-12-1-1-12-1-1-12-12-2-21111-2-21111-1-1-1-1-2-211110000−3−333−3−3330000−3−3−3−333330000−3−3−3−33333220000000000000-2-1-11100000
χ232222-12222-12-122222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-100220000000-1-10
χ242222-12222-12-122222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-100-2-2-211111100-2-20000000110
χ252222-12222-12-122222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200000000000011111111111100222-1-1-1-1-1-100-2-20000000110
χ262222-12222-12-122222-12222-1-12-1-1-122-1-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200000000000011111111111100-2-2-211111100220000000-1-10
χ2722-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2222-2222222-2-2-2-2-2-22-2-222-222-2-2000000000000000000000000000000000000000000000002-200000002-2000
χ2822-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2222-2222222-2-2-2-2-2-22-2-222-222-2-200000000000000000000000000000000000000000000000-220000000-22000
χ2922-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2222-2-2-2-2-2-2-22222222-2-22-22-2-22200000000000000000000000000000000000000000000000002i−2i00000002i−2i0
χ3022-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2222-2-2-2-2-2-2-22222222-2-22-22-2-2220000000000000000000000000000000000000000000000000−2i2i0000000−2i2i0
χ3122-2-222-12-2-2122-11-2-2-222-2-22-1-1-2-21112-1-112-122-1-1-21-2-211-111-1-11-1-11100000000000033−3−333−3−333−3−30000000000000003−30033−3−32-20000000-11000
χ3222-2-222-12-2-2122-11-2-2-222-2-22-1-1-2-21112-1-112-122-1-1-21-2-211-111-1-11-1-11100000000000033−3−333−3−333−3−3000000000000000−3300−3−333-2200000001-1000
χ3322-2-222-12-2-2122-11-2-2-222-2-22-1-1-2-21112-1-112-122-1-1-21-2-211-111-1-11-1-111000000000000−3−333−3−333−3−3330000000000000003−30033−3−3-2200000001-1000
χ3422-2-222-12-2-2122-11-2-2-222-2-22-1-1-2-21112-1-112-122-1-1-21-2-211-111-1-11-1-111000000000000−3−333−3−333−3−333000000000000000−3300−3−3332-20000000-11000
χ3522-2-2-122-221-2-122-2-2-21-2-222-1-12111-2-2-1-1211-211-2-2-12-1-122-111-11-111-1-1000000000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000003−33−33−3002i−2i0000000−ii0
χ3622-2-2-122-221-2-122-2-2-21-2-222-1-12111-2-2-1-1211-211-2-2-12-1-122-111-11-111-1-1000000000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000−33−33−3300−2i2i0000000i−i0
χ3722-2-2-122-221-2-122-2-2-21-2-222-1-12111-2-2-1-1211-211-2-2-12-1-122-111-11-111-1-1000000000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000003−33−33−300−2i2i0000000i−i0
χ3822-2-2-122-221-2-122-2-2-21-2-222-1-12111-2-2-1-1211-211-2-2-12-1-122-111-11-111-1-1000000000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000−33−33−33002i−2i0000000−ii0
χ392-2-222220022-2-2-2-22-2-200002222-222-2-2-2-2-200000000000022-2-2000000−i2i22−2−i2i2−i2i22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22i−2i000000000000002i−2i0000000
χ402-2-222220022-2-2-2-22-2-200002222-222-2-2-2-2-200000000000022-2-2000000−i2i2−22−i2i2−i2i2−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−2i2i00000000000000−2i2i0000000
χ412-2-222220022-2-2-2-22-2-200002222-222-2-2-2-2-200000000000022-2-2000000i2−i22−2i2−i2i2−i22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−2−2i2i00000000000000−2i2i0000000
χ422-2-222220022-2-2-2-22-2-200002222-222-2-2-2-2-200000000000022-2-2000000i2−i2−22i2−i2i2−i2−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−222i−2i000000000000002i−2i0000000
χ432-2-222-120022-21-2-2-11-23−33−3-12-1-112-111-21-2003−33−3003−33−3-1-111003−33−3−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72i−2i00000000000000−ii−i3i300000
χ442-2-222-120022-21-2-2-11-23−33−3-12-1-112-111-21-2003−33−3003−33−3-1-111003−33−3−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2i2i00000000000000i−ii3−i300000
χ452-2-222-120022-21-2-2-11-23−33−3-12-1-112-111-21-2003−33−3003−33−3-1-111003−33−3i2−i22−2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2i2i00000000000000i−ii3−i300000
χ462-2-222-120022-21-2-2-11-23−33−3-12-1-112-111-21-2003−33−3003−33−3-1-111003−33−3i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72i−2i00000000000000−ii−i3i300000
χ472-2-222-120022-21-2-2-11-2−33−33-12-1-112-111-21-200−33−3300−33−33-1-11100−33−33−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232i−2i00000000000000−iii3−i300000
χ482-2-222-120022-21-2-2-11-2−33−33-12-1-112-111-21-200−33−3300−33−33-1-11100−33−33−i2i2−22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2i2i00000000000000i−i−i3i300000
χ492-2-222-120022-21-2-2-11-2−33−33-12-1-112-111-21-200−33−3300−33−33-1-11100−33−33i2−i22−2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2i2i00000000000000i−i−i3i300000
χ502-2-222-120022-21-2-2-11-2−33−33-12-1-112-111-21-200−33−3300−33−33-1-11100−33−33i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232i−2i00000000000000−iii3−i300000
χ51444444-2-4-44-244-2-2444-4-4-4-44-2-244-2-2-24-2-2-2-42-4-422-42-4-422-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ5244444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-211-2-21-24-2-2-2114-2-2-2111111-2-211114400-2-2-2-20000-2-2-2-2111111110000000000000000000000000000000000000
χ5344444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-211-2-21-24-2-2-2114-2-2-2111111-2-21111-4-400222200002222-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ5444444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-211-2-21-2-4222-1-1-4222-1-1111122-1-1-1-100002323−23−2300000000−3−3−3−333330000000000000000000000000000000000000
χ5544444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-211-2-21-2-4222-1-1-4222-1-1111122-1-1-1-10000−23−232323000000003333−3−3−3−30000000000000000000000000000000000000
χ564444-244-4-4-24-244444-2-4-4-4-4-2-24-2-2-244-2-24-22-422-4-42-422-4-4-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ574444-24-244-2-2-24-2-244-24444-21-2-2-21-2-2-21-21-2-2-2-2-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000004-2-2-2-2111100000000000000
χ584444-24-244-2-2-24-2-244-24444-21-2-2-21-2-2-21-21-2-2-2-2-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000-42222-1-1-1-100000000000000
χ594444-24-2-4-4-2-2-24-2-244-2-4-4-4-4-21-2-2-21-2-2-21-212222222222221111-1-1-1-1-1-100000000000000000000000000000000000000000003-3-3300000000000000
χ604444-24-2-4-4-2-2-24-2-244-2-4-4-4-4-21-2-2-21-2-2-21-212222222222221111-1-1-1-1-1-10000000000000000000000000000000000000000000-333-300000000000000
χ614444-2-2444-24-2-244-2-2-2-2-2-2-21-2-211-2-2-21-2-2-2-2411-2-2-2411-2-21111-2-2111100440000-2-2-2-2000000000000-2-2-2-2111111110000000000000000000000000
χ624444-2-2444-24-2-244-2-2-2-2-2-2-21-2-211-2-2-21-2-2-2-2411-2-2-2411-2-21111-2-2111100-4-4000022220000000000002222-1-1-1-1-1-1-1-10000000000000000000000000
χ634444-2-24-4-4-24-2-244-2-2-222221-2-211-2-2-21-2-2-22-4-1-1222-4-1-122111122-1-1-1-1000000002323−23−230000000000000000−3−3−3−333330000000000000000000000000
χ644444-2-24-4-4-24-2-244-2-2-222221-2-211-2-2-21-2-2-22-4-1-1222-4-1-122111122-1-1-1-100000000−23−23232300000000000000003333−3−3−3−30000000000000000000000000
χ6544-4-444-2-44-4244-22-4-4-4-4-4444-2-2-4-42224-2-22-42-4-4224-244-2-2-222-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ6644-4-44-244-4-4-44-24-422-4-2-222-24-222-422-24-2-444-2-2-2-2-4-42222-222-24-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ6744-4-44-24-44-4-44-24-422-422-2-2-24-222-422-24-2-4-4-4222244-2-2-2-2-222-2-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-2-24-4-424-2-2222-4-2-222-2-21222-1-1-2-2124-2-2-211-4222-1-11-1-11-2211-1-10000000000002323−23−23−3−333−3−3330000000000000000000000000000000000000
χ6944-4-44-2-24-4-424-2-2222-4-2-222-2-21222-1-1-2-2124-2-2-211-4222-1-11-1-11-2211-1-1000000000000−23−23232333−3−333−3−30000000000000000000000000000000000000
χ7044-4-44-2-2-44-424-2-2222-422-2-2-2-21222-1-1-2-212-4222-1-14-2-2-2111-1-112-2-1-111000000000000000033-3-3-3-3330000000000000000000000000000000000000
χ7144-4-44-2-2-44-424-2-2222-422-2-2-2-21222-1-1-2-212-4222-1-14-2-2-2111-1-112-2-1-1110000000000000000-3-33333-3-30000000000000000000000000000000000000
χ7244-4-4-2444-42-4-244-4-4-4244-4-4-2-24222-4-4-2-242-24-2-2442-422-4-4-222-2-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-24-24-422-24-22-4-4244-4-4-21-222-122-21-2-1-2-2-2-2-2-22222221-1-111-111-1-100000000000000000000000000000000000000023−2300−3−33300000000000000
χ7444-4-4-24-24-422-24-22-4-4244-4-4-21-222-122-21-2-1-2-2-2-2-2-22222221-1-111-111-1-1000000000000000000000000000000000000000−23230033−3−300000000000000
χ7544-4-4-24-2-4422-24-22-4-42-4-444-21-222-122-21-2-1222222-2-2-2-2-2-21-1-11-11-1-1110000000000000000000000000000000000000000023−23−33−3300000000000000
χ7644-4-4-24-2-4422-24-22-4-42-4-444-21-222-122-21-2-1222222-2-2-2-2-2-21-1-11-11-1-11100000000000000000000000000000000000000000−23233−33−300000000000000
χ7744-4-4-2-244-42-4-2-24-4222-2-2221-2-2-1-12221-2-22-2411-2-22-4-1-1221-1-11-2211-1-100000000000000000000000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000
χ7844-4-4-2-244-42-4-2-24-4222-2-2221-2-2-1-12221-2-22-2411-2-22-4-1-1221-1-11-2211-1-10000000000000000000000000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000
χ7944-4-4-2-24-442-4-2-24-422222-2-21-2-2-1-12221-2-222-4-1-122-2411-2-21-1-112-2-1-111000000000000000000000000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000
χ8044-4-4-2-24-442-4-2-24-422222-2-21-2-2-1-12221-2-222-4-1-122-2411-2-21-1-112-2-1-1110000000000000000000000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000
χ814-44-444400-4-4-4-4-44-4440000444-44-4-44-4-4-440000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-200-42-4-42-2-44400004-2-2-4422-2-422-2000000000000-22-22000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000000000000000000
χ834-44-444-200-42-4-42-2-44400004-2-2-4422-2-422-2000000000000-22-22000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i60000000000000000000000000000000000000
χ844-44-44-2400-4-4-42-442-2423−23−2323-24-22-2-42-22-4240023−2323−2300−2323−2323-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ854-44-44-2400-4-4-42-442-24−232323−23-24-22-2-42-22-42400−2323−23230023−2323−23-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ864-44-44-2-200-42-422-22-2423−23−2323-2-212-22-1122-1-20023−23−3300−23233−31-11-100−333−3000000000000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000000
χ874-44-44-2-200-42-422-22-2423−23−2323-2-212-22-1122-1-20023−23−3300−23233−31-11-100−333−3000000000000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000000
χ884-44-44-2-200-42-422-22-24−232323−23-2-212-22-1122-1-200−23233−30023−23−331-11-1003−3−33000000000000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000000
χ894-44-44-2-200-42-422-22-24−232323−23-2-212-22-1122-1-200−23233−30023−23−331-11-1003−3−33000000000000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000000
χ904-44-4-244002-42-4-44-44-20000-2-242-22-4422-4-2000000000000-22-22000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000000
χ914-44-4-244002-42-4-44-44-20000-2-242-22-4422-4-2000000000000-22-22000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i60000000000000000000000000
χ924-44-4-2-24002-422-442-2-223−23−23231-2-2-1122-2-122-200−3323−23003−3−23231-11-100−333−3000000000000000000000000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000
χ934-44-4-2-24002-422-442-2-223−23−23231-2-2-1122-2-122-200−3323−23003−3−23231-11-100−333−3000000000000000000000000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000
χ944-44-4-2-24002-422-442-2-2−232323−231-2-2-1122-2-122-2003−3−232300−3323−231-11-1003−3−33000000000000000000000000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000
χ954-44-4-2-24002-422-442-2-2−232323−231-2-2-1122-2-122-2003−3−232300−3323−231-11-1003−3−33000000000000000000000000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000
χ964-4-4444-2004-2-4-4224-4-400004-2-24-4-2-22-4222000000000000-2-222000000−2i22i200−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000
χ974-4-4444-2004-2-4-4224-4-400004-2-24-4-2-22-4222000000000000-2-2220000002i2−2i2002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000
χ984-4-444-2-2004-2-4222-22-423−2323−23-2-21-22-21-122-120023−23−330023−23−3311-1-100−33−33−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000000000000000000000000
χ994-4-444-2-2004-2-4222-22-423−2323−23-2-21-22-21-122-120023−23−330023−23−3311-1-100−33−332i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000000000000
χ1004-4-444-2-2004-2-4222-22-4−2323−2323-2-21-22-21-122-1200−23233−300−23233−311-1-1003−33−3−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000000000000000000000000
χ1014-4-444-2-2004-2-4222-22-4−2323−2323-2-21-22-21-122-1200−23233−300−23233−311-1-1003−33−32i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000000000000000000000000
χ1024-4-44-24400-242-4-4-44-420000-2-24-22-24-422-42000000000000-2-2220000000022−22000022−2222−22000000000000−22−22−22−22−22−220000000000000000000000000
χ1034-4-44-24400-242-4-4-44-420000-2-24-22-24-422-42000000000000-2-22200000000−22220000−2222−22220000000000002−22−22−22−22−22−20000000000000000000000000
χ1044-4-44-2-2400-2422-4-4-22223−2323−231-2-21-1-2-22-122200−3323−2300−3323−2311-1-100−33−330022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000000−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000
χ1054-4-44-2-2400-2422-4-4-22223−2323−231-2-21-1-2-22-122200−3323−2300−3323−2311-1-100−33−3300−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000002−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000
χ1064-4-44-2-2400-2422-4-4-222−2323−23231-2-21-1-2-22-1222003−3−2323003−3−232311-1-1003−33−30022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000000−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000
χ1074-4-44-2-2400-2422-4-4-222−2323−23231-2-21-1-2-22-1222003−3−2323003−3−232311-1-1003−33−300−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000002−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000
χ1088888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1098888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-48-844-4-4-44444-4-444222-2-2-2-2-2222-2-4-4222244-2-2-2-2-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4-8844-4-4-4444444-4-4222-2-2-2-2-2222-244-2-2-2-2-4-42222-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400444-84-4-88-40000-42-44-4-24-44-2420000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-40044444-44-4-443−43−4343222-22-2-22-2-2-2200−2323−23230023−2323−23-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-40044444-44-4-4−434343−43222-22-2-22-2-2-220023−2323−2300−2323−2323-11-1100−333−30000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-400-4-44-8448-840000-42-4-442-444-24-200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-4-44444-44443−4343−432222-222-2-2-2-2-200−2323−232300−2323−2323-1-111003−33−30000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-4-44444-444−4343−43432222-222-2-2-2-2-20023−2323−230023−2323−23-1-11100−33−330000000000000000000000000000000000000000000000000000000000000

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