Finite Group Databasebeta

← Group #13155840

Character table — Group #13155840

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222224444444444444444444444448888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424242436363636363636363672727272216
order1222333446666666661212121233366666666612121212121212121212121236661212121212128888242424242424242424242424242424242424242424242424242424242424242444266666666222446612126612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111-1-1-111-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11
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
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000022000000000-20000-2-22200000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000-2-20000000002000022-2-200000
χ11222222-1222222-1-1-12222222-1-122-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000222-1-1-1-1-1-1022000000-1-1000
χ12222222-1222222-1-1-12222222-1-122-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-21111110-2-200000011000
χ13222222-1222222-1-1-12222222-1-122-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111111100000000000000222-1-1-1-1-1-10-2-200000011000
χ14222222-1222222-1-1-12222222-1-122-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111111100000000000000-2-2-2111111022000000-1-1000
χ1522222-122222-1-1222-12-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000000020000-1-1-1-100000
χ1622222-122222-1-1222-12-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000000000-20000111100000
χ1722222-122222-1-1222-12-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2000000000-20000111100000
χ1822222-122222-1-1222-12-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111112200000000020000-1-1-1-100000
χ1922222-12-2-222-1-1222-121111-1-12-1-1-1-122-1-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−333−3−300003333−3−3−3−300003333−3−3−3−322000000000-2000011-1-100000
χ2022222-12-2-222-1-1222-121111-1-12-1-1-1-122-1-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-200000000020000-1-11100000
χ2122222-12-2-222-1-1222-121111-1-12-1-1-1-122-1-12-2-21111-2-21111-1-1-1-1-2-211110000−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-200000000020000-1-11100000
χ2222222-12-2-222-1-1222-121111-1-12-1-1-1-122-1-12-2-21111-2-21111-1-1-1-1-2-211110000−3−333−3−3330000−3−3−3−333330000−3−3−3−3333322000000000-2000011-1-100000
χ232222-12222-1-1222222-12222-12-1-1-122-1-1-12-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1002-1-122-1-1-1-100022000000-1-10
χ242222-12222-1-1222222-12222-12-1-1-122-1-1-12-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-100-211-2-21111000-2-2000000110
χ252222-12222-1-1222222-12222-12-1-1-122-1-1-12-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-2000000000000111111111111002-1-122-1-1-1-1000-2-2000000110
χ262222-12222-1-1222222-12222-12-1-1-122-1-1-12-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200000000000011111111111100-211-2-2111100022000000-1-10
χ2722-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-200000000000022-2-20000002−2−i2i22−22−2−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i00000000000000002i−2i00000
χ2822-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-200000000000022-2-20000002−2i2−i22−22−2i2−i2i2−i222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i0000000000000000−2i2i00000
χ2922-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-200000000000022-2-2000000−22−i2i2−22−22−i2i2−i2i2−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i0000000000000000−2i2i00000
χ3022-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-200000000000022-2-2000000−22i2−i2−22−22i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i00000000000000002i−2i00000
χ3122-2-22-12002-2-112-2-21-233−3−3-1-12-11-112-211-2003−33−3003−33−3-1-1110033−3−32−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72i−2i00000000000000−i3i3−ii00000
χ3222-2-22-12002-2-112-2-21-233−3−3-1-12-11-112-211-2003−33−3003−33−3-1-1110033−3−32−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−2i2i00000000000000i3−i3i−i00000
χ3322-2-22-12002-2-112-2-21-233−3−3-1-12-11-112-211-2003−33−3003−33−3-1-1110033−3−3−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−2i2i00000000000000i3−i3i−i00000
χ3422-2-22-12002-2-112-2-21-233−3−3-1-12-11-112-211-2003−33−3003−33−3-1-1110033−3−3−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72i−2i00000000000000−i3i3−ii00000
χ3522-2-22-12002-2-112-2-21-2−3−333-1-12-11-112-211-200−33−3300−33−33-1-11100−3−3332−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232i−2i00000000000000i3−i3−ii00000
χ3622-2-22-12002-2-112-2-21-2−3−333-1-12-11-112-211-200−33−3300−33−33-1-11100−3−3332−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−2i2i00000000000000−i3i3i−i00000
χ3722-2-22-12002-2-112-2-21-2−3−333-1-12-11-112-211-200−33−3300−33−33-1-11100−3−333−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2i2i00000000000000−i3i3i−i00000
χ3822-2-22-12002-2-112-2-21-2−3−333-1-12-11-112-211-200−33−3300−33−33-1-11100−3−333−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232i−2i00000000000000i3−i3−ii00000
χ392-22-22222-2-2-2-2-2-2-22222-22-2222-2-2-2-2-2-22222-2-2-222-2222-2-22-2-222-22-22-2000000000000000000000000000000000000000000000000002-20000002-20
χ402-22-22222-2-2-2-2-2-2-22222-22-2222-2-2-2-2-2-22222-2-2-222-2222-2-22-2-222-22-22-200000000000000000000000000000000000000000000000000-22000000-220
χ412-22-2222-22-2-2-2-2-2-2222-22-22222-2-2-2-2-2-2222-2222-2-22-2-2-2222-2-22-22-22-220000000000000000000000000000000000000000000000002-20000002-2000
χ422-22-2222-22-2-2-2-2-2-2222-22-22222-2-2-2-2-2-2222-2222-2-22-2-2-2222-2-22-22-22-22000000000000000000000000000000000000000000000000-22000000-22000
χ432-22-222-1-22-2-2-2-211-122-22-222-1-1-2-211112-1-1122211-1-2-2-2-1-1-111-11-11-11-1000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000−i3i3−i3−i3i3i302-2000000-11000
χ442-22-222-1-22-2-2-2-211-122-22-222-1-1-2-211112-1-1122211-1-2-2-2-1-1-111-11-11-11-1000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000i3−i3i3i3−i3−i30-220000001-1000
χ452-22-222-1-22-2-2-2-211-122-22-222-1-1-2-211112-1-1122211-1-2-2-2-1-1-111-11-11-11-1000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000−i3i3−i3−i3i3i30-220000001-1000
χ462-22-222-1-22-2-2-2-211-122-22-222-1-1-2-211112-1-1122211-1-2-2-2-1-1-111-11-11-11-1000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000i3−i3i3i3−i3−i302-2000000-11000
χ472-22-2-1222-211-2-2-2-222-12-22-2-12-111-2-211-12-1211122-2-1-1-1-2-2-111-1-11-11-11000000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000−i3i300−i3i3−i3i30002-2000000-110
χ482-22-2-1222-211-2-2-2-222-12-22-2-12-111-2-211-12-1211122-2-1-1-1-2-2-111-1-11-11-11000000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000i3−i300i3−i3i3−i3000-220000001-10
χ492-22-2-1222-211-2-2-2-222-12-22-2-12-111-2-211-12-1211122-2-1-1-1-2-2-111-1-11-11-11000000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000−i3i300−i3i3−i3i3000-220000001-10
χ502-22-2-1222-211-2-2-2-222-12-22-2-12-111-2-211-12-1211122-2-1-1-1-2-2-111-1-11-11-11000000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000i3−i300i3−i3i3−i30002-2000000-110
χ51444444-2-4-44444-2-2-244-4-4-4-44-2-244-2-2-2-24-2-22-4-4-4222-4-4-422-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ5244444-2-24444-2-2-2-2-2-24-2-2-2-2-21-2-2-211-2-2-21-2-24-2-211-24-2-2111111-2-211114400-2-2-2-20000-2-2-2-2111111110000000000000000000000000000000000000
χ5344444-2-24444-2-2-2-2-2-24-2-2-2-2-21-2-2-211-2-2-21-2-24-2-211-24-2-2111111-2-21111-4-400222200002222-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ5444444-2-2-4-444-2-2-2-2-2-242222-21-2-2-211-2-2-21-22-422-1-12-422-1-1111122-1-1-1-100002323−23−2300000000−3−3−3−333330000000000000000000000000000000000000
χ5544444-2-2-4-444-2-2-2-2-2-242222-21-2-2-211-2-2-21-22-422-1-12-422-1-1111122-1-1-1-10000−23−232323000000003333−3−3−3−30000000000000000000000000000000000000
χ564444-244-4-4-2-2444444-2-4-4-4-4-24-2-2-244-2-2-24-2-4222-4-4-4222-4-4-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ574444-24-244-2-244-2-2-24-24444-2-21-2-2-2-211-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000004-2-2-2-2111100000000000000
χ584444-24-244-2-244-2-2-24-24444-2-21-2-2-2-211-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000-42222-1-1-1-100000000000000
χ594444-24-2-4-4-2-244-2-2-24-2-4-4-4-4-2-21-2-2-2-211-2-212222222222221111-1-1-1-1-1-100000000000000000000000000000000000000000003-3-3300000000000000
χ604444-24-2-4-4-2-244-2-2-24-2-4-4-4-4-2-21-2-2-2-211-2-212222222222221111-1-1-1-1-1-10000000000000000000000000000000000000000000-333-300000000000000
χ614444-2-2444-2-2-2-2444-2-2-2-2-2-21-2-211-2-2-2-21-2-24-211-2-24-211-2-21111-2-2111100440000-2-2-2-2000000000000-2-2-2-2111111110000000000000000000000000
χ624444-2-2444-2-2-2-2444-2-2-2-2-2-21-2-211-2-2-2-21-2-24-211-2-24-211-2-21111-2-2111100-4-4000022220000000000002222-1-1-1-1-1-1-1-10000000000000000000000000
χ634444-2-24-4-4-2-2-2-2444-2-222221-2-211-2-2-2-21-2-2-42-1-122-42-1-122111122-1-1-1-1000000002323−23−230000000000000000−3−3−3−333330000000000000000000000000
χ644444-2-24-4-4-2-2-2-2444-2-222221-2-211-2-2-2-21-2-2-42-1-122-42-1-122111122-1-1-1-100000000−23−23232300000000000000003333−3−3−3−30000000000000000000000000
χ6544-4-444-2004-44-4-222-4-400004-2-24-4-22-22-422000000000000-2-22200000022−220022−2222−220000−2−222−2−222−2−2220000000000000000000000000000000000000
χ6644-4-444-2004-44-4-222-4-400004-2-24-4-22-22-422000000000000-2-222000000−222200−2222−2222000022−2−222−2−222−2−20000000000000000000000000000000000000
χ6744-4-44-2-2004-4-22-2222-42323−23−23-21-2-221-1-222-120023−23−330023−23−3311-1-100−3−33322−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000000000000000000000000
χ6844-4-44-2-2004-4-22-2222-42323−23−23-21-2-221-1-222-120023−23−330023−23−3311-1-100−3−333−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000022−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000000000000000000000000
χ6944-4-44-2-2004-4-22-2222-4−23−232323-21-2-221-1-222-1200−23233−300−23233−311-1-10033−3−322−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000000000000000000000000
χ7044-4-44-2-2004-4-22-2222-4−23−232323-21-2-221-1-222-1200−23233−300−23233−311-1-10033−3−3−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000022−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000000000000000000000000
χ7144-4-4-24400-224-44-4-4-420000-24-2-224-4-222-42000000000000-2-22200000000−2i22i20000−2i22i2−2i22i2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000
χ7244-4-4-24400-224-44-4-4-420000-24-2-224-4-222-42000000000000-2-222000000002i2−2i200002i2−2i22i2−2i2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000
χ7344-4-4-2-2400-22-224-4-4222323−23−231-2-21-1-22-22-12200−3323−2300−3323−2311-1-100−3−33300−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000
χ7444-4-4-2-2400-22-224-4-4222323−23−231-2-21-1-22-22-12200−3323−2300−3323−2311-1-100−3−333002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000000
χ7544-4-4-2-2400-22-224-4-422−23−2323231-2-21-1-22-22-122003−3−2323003−3−232311-1-10033−3−300−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000000000000
χ7644-4-4-2-2400-22-224-4-422−23−2323231-2-21-1-22-22-122003−3−2323003−3−232311-1-10033−3−3002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000000000000
χ774-44-444-24-4-4-4-4-422-2444-44-44-2-2-4-422224-2-2-2-4-4-4-2-2244422-222-2-22-22-220000000000000000000000000000000000000000000000000000000000000
χ784-44-44-244-4-4-422-4-44-24-22-22-2-242222-4-4-2-244-422-2-2-44-2-222-222-24-4-22-220000000000000000000000000000000000000000000000000000000000000
χ794-44-44-24-44-4-422-4-44-242-22-2-2-242222-4-4-2-24-44-2-2224-422-2-2-222-2-442-22-20000000000000000000000000000000000000000000000000000000000000
χ804-44-44-2-24-4-4-42222-2-24-22-22-21-222-1-122-21-2-2-4221124-2-2-1-11-1-11-221-11-100000000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000
χ814-44-44-2-24-4-4-42222-2-24-22-22-21-222-1-122-21-2-2-4221124-2-2-1-11-1-11-221-11-10000000000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000
χ824-44-44-2-2-44-4-42222-2-242-22-2-21-222-1-122-21-224-2-2-1-1-2-422111-1-112-2-11-11000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000
χ834-44-44-2-2-44-4-42222-2-242-22-2-21-222-1-122-21-224-2-2-1-1-2-422111-1-112-2-11-110000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000
χ844-44-4-244-4422-4-4-4-444-2-44-44-24-222-4-422-24-2-4-2-2-2-4-4422244-222-22-22-22-20000000000000000000000000000000000000000000000000000000000000
χ854-44-4-24-24-422-4-422-24-24-44-4-2-212222-1-1-2-21-2222-2-22-2-2-2221-1-111-11-11-1000000000000000000000000000000000000000−2i32i300i3−i3i3−i300000000000000
χ864-44-4-24-24-422-4-422-24-24-44-4-2-212222-1-1-2-21-2222-2-22-2-2-2221-1-111-11-11-10000000000000000000000000000000000000002i3−2i300−i3i3−i3i300000000000000
χ874-44-4-24-2-4422-4-422-24-2-44-44-2-212222-1-1-2-212-2-2-222-2222-2-21-1-11-11-11-1100000000000000000000000000000000000000000−2i32i3i3i3−i3−i300000000000000
χ884-44-4-24-2-4422-4-422-24-2-44-44-2-212222-1-1-2-212-2-2-222-2222-2-21-1-11-11-11-11000000000000000000000000000000000000000002i3−2i3−i3−i3i3i300000000000000
χ894-44-4-2-244-42222-4-44-2-2-22-221-2-2-1-122221-2-242-1-1-2-2-4-211221-1-11-221-11-1000000000000000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000
χ904-44-4-2-244-42222-4-44-2-2-22-221-2-2-1-122221-2-242-1-1-2-2-4-211221-1-11-221-11-10000000000000000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000
χ914-44-4-2-24-442222-4-44-2-22-22-21-2-2-1-122221-2-2-4-2112242-1-1-2-21-1-112-2-11-1100000000000000000000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000
χ924-44-4-2-24-442222-4-44-2-22-22-21-2-2-1-122221-2-2-4-2112242-1-1-2-21-1-112-2-11-110000000000000000000000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000
χ934-4-4444400-44-44-44-4-4-40000444-44-44-44-4-4-40000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-200-44-442-22-4-400004-2-2-442-22-2-422000000000000-22-22000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000000000000000000
χ954-4-4444-200-44-442-22-4-400004-2-2-442-22-2-422000000000000-22-22000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i60000000000000000000000000000000000000
χ964-4-444-2400-442-2-44-42-423−23−2323-2-242-22-2-4422-400−232323−230023−23−2323-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ974-4-444-2400-442-2-44-42-4−232323−23-2-242-22-2-4422-40023−23−232300−232323−23-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ984-4-444-2-200-442-22-222-423−23−2323-21-22-2-112-22-1200−2323−330023−233−31-11-100−333−3000000000000i6−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
χ994-4-444-2-200-442-22-222-423−23−2323-21-22-2-112-22-1200−2323−330023−233−31-11-100−333−3000000000000−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
χ1004-4-444-2-200-442-22-222-4−232323−23-21-22-2-112-22-120023−233−300−2323−331-11-1003−3−33000000000000i6−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
χ1014-4-444-2-200-442-22-222-4−232323−23-21-22-2-112-22-120023−233−300−2323−331-11-1003−3−33000000000000−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
χ1024-4-44-244002-2-44-44-4-420000-24-22-2-442-22-42000000000000-22-220000000000000000000000000000006−6−666−6−666−6−660000000000000000000000000
χ1034-4-44-244002-2-44-44-4-420000-24-22-2-442-22-42000000000000-22-22000000000000000000000000000000−666−6−666−6−666−60000000000000000000000000
χ1044-4-44-2-24002-22-2-44-42223−23−23231-2-2-112-22-2-122003−323−2300−33−23231-11-100−333−30000000000000000000000006−6−66−2ζ5+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
χ1054-4-44-2-24002-22-2-44-42223−23−23231-2-2-112-22-2-122003−323−2300−33−23231-11-100−333−3000000000000000000000000−666−62ζ5−2ζ7+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
χ1064-4-44-2-24002-22-2-44-422−232323−231-2-2-112-22-2-12200−33−2323003−323−231-11-1003−3−330000000000000000000000006−6−66ζ5−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
χ1074-4-44-2-24002-22-2-44-422−232323−231-2-2-112-22-2-12200−33−2323003−323−231-11-1003−3−33000000000000000000000000−666−6−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
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
χ11088-8-8-48-400-448-8-444-840000-4-42-44-442-244-200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-44-444444343−43−432222-22-22-2-2-2-200−2323−232300−2323−2323-1-1110033−3−30000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-400-44-44-44444−43−4343432222-22-22-2-2-2-20023−2323−230023−2323−23-1-11100−3−3330000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-48-8444444-4-4-4-44-44222-2-2-2-2-2-2222-44-2-2224-422-2-2-111-12-2-11-110000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-88444444-4-4-44-44-4222-2-2-2-2-2-22224-422-2-2-44-2-222-111-1-221-11-10000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4004-4-884-44-840000-4-424-44-4-2244-20000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-44-44-444443−43−4343222-22-22-22-2-2-20023−23−232300−232323−23-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-44-44-4444−434343−43222-22-22-22-2-2-200−232323−230023−23−2323-11-1100−333−30000000000000000000000000000000000000000000000000000000000000

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