Finite Group Databasebeta

← Group #13172154

Character table — Group #13172154

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666244661212121212121212121212121212121212121212444466612121212121212121224446612121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111111111-1-111-1-1-11-1-11111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111-111-1-1111111-1-1-1-111111111-1-1-1-1111-111-1-1-1-111-11-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1111-1-1-111-1-1-1-111-1-111-1-111111-1-1-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-111-1-1-1-11-111
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111-1-1-11-1-1111111-11-1-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-11-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-111-1-1111-11-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1111111-1-111-1-111-1-11-1-11
χ17222222-12-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-100200-1-12222-1-1-1-122-1-1-1-1-1-1-1-10022000200-1-1-1-1002000-1-1-1-100000000
χ18222222-12-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-100-200112222-1-111-2-2-1-1-1-1-1-1-1-100-2-2000-200111100-2000111100000000
χ19222222-12-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-100200-1-1-2-2-2-211-1-1221111111100-2-2000200-1-1-1-100-2000111100000000
χ20222222-12-12222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-20011-2-2-2-21111-2-2111111110022000-2001111002000-1-1-1-100000000
χ21222222-12-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-122-2-222-1-1-1-1-1-211-2-2-1-1-1111100-2001122-2-211-1-122-1-1-1-1111100-2-2000-200-1-111002000-1-11100000000
χ22222222-12-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-1111100200-1-122-2-21111-2-2-1-1-1-11111002200020011-1-100-200011-1-100000000
χ23222222-12-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-1-2-222221111-1-211-2-2-1-1-1111100-20011-2-222-1-1-1-1221111-1-1-1-10022000-200-1-11100-200011-1-100000000
χ24222222-12-12222-1-12-2-1-12-2-211-1-1-1111122-1-12-1-2-222-2-21111-1-211-2-2-1-1-1111100200-1-1-2-222-1-111-2-21111-1-1-1-100-2-200020011-1-1002000-1-11100000000
χ2522222-12222-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-12202200-1-1-1-1220000-1-1-1-1-1-1-1-10000-1-1-10-120000-1-1020200000000-1-100
χ2622222-12222-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-2-20-2-200-1-1-1-1220000-1-1-1-1-1-1-1-1000011101-20000110-20-2000000001100
χ2722222-12222-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-122022001111-2-20000111111110000-1-1-10-120000-1-10-20-2000000001100
χ2822222-12222-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-2-2001111-2-2000011111111000011101-2000011020200000000-1-100
χ2922222-12222-1-1-1222-22-1-111-2-22-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-111112-202200-1-111-2-20000-1-1-1-111110000-1-1-101-2000011020-200000000-1100
χ3022222-12222-1-1-1222-22-1-111-2-22-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-11111-220-2-200-1-111-2-20000-1-1-1-1111100001110-120000-1-10-202000000001-100
χ3122222-12222-1-1-1222-22-1-111-2-22-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-111112-20220011-1-12200001111-1-1-1-10000-1-1-101-20000110-202000000001-100
χ3222222-12222-1-1-1222-22-1-111-2-22-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-220-2-20011-1-12200001111-1-1-1-100001110-120000-1-1020-200000000-1100
χ332222-122-12-122222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12200000022-1-10000000022002-1-1-12-1-1-1-1-1-1-100200000-1-10000-10
χ342222-122-12-122222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22112200000022-1-100000000-2-200-211-1-21-1-1-1-11100-20000011000010
χ352222-122-12-122222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-1-1-2-2000000-2-21100000000-2-2002-1-112-11111-1-100-20000011000010
χ362222-122-12-122222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2000000-2-211000000002200-2111-2111111100200000-1-10000-10
χ372222-122-12-122222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-111112-2-2-1-1-2-200000022-1-10000000022002-1-11-21-1-1111100-200000-1-1000010
χ382222-122-12-122222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-22-211-2-200000022-1-100000000-2-200-21112-1-1-111-1-100200000110000-10
χ392222-122-12-122222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-111112-22-1-122000000-2-21100000000-2-2002-1-1-1-2111-1-11100200000110000-10
χ402222-122-12-122222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-11111-2221122000000-2-211000000002200-211-12-111-1-1-1-100-200000-1-1000010
χ412-22-2222-2-222-2-22-2-20222000022-200002-2-2-2-2-2002i−2i2i−2i00002000002-2-200000000000002i−2i2i−2i2i−2i2i−2i00002i2i−2i−2i002-20000002i−2i00000000002-200000000
χ422-22-2222-2-222-2-22-2-20222000022-200002-2-2-2-2-2002i−2i−2i2i00002000002-2-200000000000002i−2i2i−2i−2i2i−2i2i00002i2i−2i−2i00-22000000−2i2i0000000000-2200000000
χ432-22-2222-2-222-2-22-2-20222000022-200002-2-2-2-2-200−2i2i2i−2i00002000002-2-20000000000000−2i2i−2i2i2i−2i2i−2i0000−2i−2i2i2i00-220000002i−2i0000000000-2200000000
χ442-22-2222-2-222-2-22-2-20222000022-200002-2-2-2-2-200−2i2i−2i2i00002000002-2-20000000000000−2i2i−2i2i−2i2i−2i2i0000−2i−2i2i2i002-2000000−2i2i00000000002-200000000
χ452-22-222-1-2122-2-2-11-20-1-1200−i3i3-1-11−i3−i3i3i32-211-21002i−2i2i−2i33−3−3-10−i3i300-111−i3−i3i3i3000003−3002i−2i−ii−ii2i−2i33−3−3−i−iii002-2000000−ii3−3000000−i3i3-1100000000
χ462-22-222-1-2122-2-2-11-20-1-1200−i3i3-1-11−i3−i3i3i32-211-21002i−2i−2i2i33−3−3-10−i3i300-111−i3−i3i3i300000−33002i−2i−iii−i−2i2i33−3−3−i−iii00-22000000i−i−33000000i3−i31-100000000
χ472-22-222-1-2122-2-2-11-20-1-1200−i3i3-1-11−i3−i3i3i32-211-2100−2i2i2i−2i−3−333-10−i3i300-111−i3−i3i3i3000003−300−2i2ii−i−ii2i−2i−3−333ii−i−i00-22000000−ii3−3000000i3−i31-100000000
χ482-22-222-1-2122-2-2-11-20-1-1200−i3i3-1-11−i3−i3i3i32-211-2100−2i2i−2i2i−3−333-10−i3i300-111−i3−i3i3i300000−3300−2i2ii−ii−i−2i2i−3−333ii−i−i002-2000000i−i−33000000−i3i3-1100000000
χ492-22-222-1-2122-2-2-11-20-1-1200i3−i3-1-11i3i3−i3−i32-211-21002i−2i2i−2i−3−333-10i3−i300-111i3i3−i3−i300000−33002i−2i−ii−ii2i−2i−3−333−i−iii002-2000000−ii−33000000i3−i3-1100000000
χ502-22-222-1-2122-2-2-11-20-1-1200i3−i3-1-11i3i3−i3−i32-211-21002i−2i−2i2i−3−333-10i3−i300-111i3i3−i3−i3000003−3002i−2i−iii−i−2i2i−3−333−i−iii00-22000000i−i3−3000000−i3i31-100000000
χ512-22-222-1-2122-2-2-11-20-1-1200i3−i3-1-11i3i3−i3−i32-211-2100−2i2i2i−2i33−3−3-10i3−i300-111i3i3−i3−i300000−3300−2i2ii−i−ii2i−2i33−3−3ii−i−i00-22000000−ii−33000000−i3i31-100000000
χ522-22-222-1-2122-2-2-11-20-1-1200i3−i3-1-11i3i3−i3−i32-211-2100−2i2i−2i2i33−3−3-10i3−i300-111i3i3−i3−i3000003−300−2i2ii−ii−i−2i2i33−3−3ii−i−i002-2000000i−i3−3000000i3−i3-1100000000
χ532-2-2222222-2-22-2-2-2-202220000-2-220000-222-2-2-22i−2i00002i−2i2i−2i200000-22-2000000000002i−2i000000002i−2i2i−2i00002i−2i00000000000000000000002i−2i2-20000
χ542-2-2222222-2-22-2-2-2-202220000-2-220000-222-2-2-22i−2i00002i−2i2i−2i200000-22-2000000000002i−2i000000002i−2i2i−2i0000−2i2i0000000000000000000000−2i2i-220000
χ552-2-2222222-2-22-2-2-2-202220000-2-220000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-200000000000−2i2i00000000−2i2i−2i2i00002i−2i00000000000000000000002i−2i-220000
χ562-2-2222222-2-22-2-2-2-202220000-2-220000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-200000000000−2i2i00000000−2i2i−2i2i0000−2i2i0000000000000000000000−2i2i2-20000
χ5744444-2-24-24-2-2-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21444400-2-2-2-214-2-2-2-211111110000000-2-2-2-2-2-200001111111100000000000000000000000000000000
χ5844444-2-24-24-2-2-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21-4-4-4-400222214-2-2-2-2111111100000002222220000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5944444-2-24-24-2-2-2-2-24-4-21-22222-211-1-1-1-1-2-2-2-2-2144-4-400-2-2-2-21-42222111-1-1-1-10000000-2-2222200001111-1-1-1-100000000000000000000000000000000
χ6044444-2-24-24-2-2-2-2-24-4-21-22222-211-1-1-1-1-2-2-2-2-21-4-4440022221-42222111-1-1-1-1000000022-2-2-2-20000-1-1-1-1111100000000000000000000000000000000
χ614444-24-2-2-2-2444-2-2-241-2-244-2-21-2-2-2-2-2-2-2-211-2-200004400001-211-2-2111111100400-2-2000000-2-2-2-2000000000000000-2001111000000000000000000
χ624444-24-2-2-2-2444-2-2-241-2-244-2-21-2-2-2-2-2-2-2-211-2-20000-4-400001-211-2-2111111100-400220000002222000000000000000200-1-1-1-1000000000000000000
χ634444-24-2-2-2-2444-2-2-2-41-2-2-4-4221-2-22222-2-211-2-2000044000012-1-122111-1-1-1-100-40022000000-2-2-2-200000000000000020011-1-1000000000000000000
χ644444-24-2-2-2-2444-2-2-2-41-2-2-4-4221-2-22222-2-211-2-20000-4-4000012-1-122111-1-1-1-100400-2-20000002222000000000000000-200-1-111000000000000000000
χ654444-2-24-24-2-2-2-244-24-2-21-2-244-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111440-2-2000000000000000000000000-2110-2-20000110000000000000000
χ664444-2-24-24-2-2-2-244-24-2-21-2-244-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111-4-40220000000000000000000000002-1-10220000-1-10000000000000000
χ674444-2-24-24-2-2-2-244-2-4-2-2122-4-4-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-14-40-2-2000000000000000000000000-2110220000-1-10000000000000000
χ684444-2-24-24-2-2-2-244-2-4-2-2122-4-4-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-1-440220000000000000000000000002-1-10-2-20000110000000000000000
χ6944-4-4444-4-4-4-4-44-44404440000-4-4-40000-4-4-44440000000000400000-4-440000000000000000000000000000000000000000000000000000000000000
χ7044-4-444-2-42-4-4-442-240-2-2400002220000-4-42-24-2000000−2i32i32i3−2i3-20000022-2000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ7144-4-444-2-42-4-4-442-240-2-2400002220000-4-42-24-20000002i3−2i3−2i32i3-20000022-20000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ7244-4-44-24-4-4-422-2-44404-2-2−2i32i300-422−2i32i3−2i32i322-44-2-20000000000-2000−2i32i322-2−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ7344-4-44-24-4-4-422-2-44404-2-22i3−2i300-4222i3−2i32i3−2i322-44-2-20000000000-20002i3−2i322-22i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ7444-4-44-2-2-42-422-22-240-21-2−2i32i3002-1-1i3−i3i3−i3222-2-21000000−2i32i32i3−2i31000−2i32i3-1-11i3−i3i3−i300000000000000000i3−i3−i3i33-33-300000000000000000000000000000000
χ7544-4-44-2-2-42-422-22-240-21-2−2i32i3002-1-1i3−i3i3−i3222-2-210000002i3−2i3−2i32i31000−2i32i3-1-11i3−i3i3−i300000000000000000−i3i3i3−i3-33-3300000000000000000000000000000000
χ7644-4-44-2-2-42-422-22-240-21-22i3−2i3002-1-1−i3i3−i3i3222-2-21000000−2i32i32i3−2i310002i3−2i3-1-11−i3i3−i3i300000000000000000i3−i3−i3i3-33-3300000000000000000000000000000000
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χ1044-4-44-244-242-44-4-4-420-24-200002-4400002-2-222-40000000000-2000002-22000000000000000000000000000004i−4i0000000000000000000000−2i2i000000
χ1054-4-44-244-242-44-4-4-420-24-200002-4400002-2-222-40000000000-2000002-2200000000000000000000000000000−4i4i00000000000000000000002i−2i000000
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χ1178-8-88-4-4-4-4-444-4444402220000-2-22-666-6-222-2-2-20000000000-1000001-113-3-33000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).