Finite Group Databasebeta

← Group #13172043

Character table — Group #13172043

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666233366666666666224436666666666666664444666612121212121212121212121244444444121212126612121212121212121212121212122412121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-111-1-11111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111111-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111111111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1111-1-111-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1111-1-1-111111-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-111111-1-1-1-1-1-111-1-11111-1-11111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-111-1-111-1-111111111-1-11-11-11111-1-1-1-111-1-11111-1-1-1-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1111-1-11111-1-11-1-1-111111-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1111-1-111-11-11
χ17222222-1-1222-122-1222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1222022-1-1220000-1-12200220000000000-1-1-12-10-1-10000-1-1-1-120-1-10000-1000
χ18222222-1-1222-122-1222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-12-2-2022-1-122000011-2-200-2-20000000000-1-1-1-210-1-100001111-201100001000
χ19222222-1-1222-122-1222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2220-2-211-2-20000-1-12200-2-200000000001112-10110000-1-1-1-1-201100001000
χ20222222-1-1222-122-1222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-211-2-2000011-2-200220000000000111-210110000111120-1-10000-1000
χ21222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-11111-22-2022-1-1-2-20000-1-1-2-200220000000000-1-11210110000-1-111-20-1-100001000
χ22222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-11111-2-22022-1-1-2-20000112200-2-20000000000-1-11-2-1011000011-1-120110000-1000
χ23222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-1111122-20-2-211220000-1-1-2-200-2-2000000000011-1210-1-10000-1-11120110000-1000
χ24222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-111112-220-2-21122000011220022000000000011-1-2-10-1-1000011-1-1-20-1-100001000
χ2522222-122-1-122222-12-12-1-1-1-12-1-1-1-122-12222-122-1-122-1-1-1-1-1-1-1-1-12002-1-122-1-1-1-1220000-1-100222200-1-1-1-1-1-12002-1-1-1-1-1-10000000000-1-10000
χ2622222-122-1-122222-12-12-1-1-1-12-1-1-1-122-122-2-2-122-1-122-1-1-1-1-1-1-1-1-1200-2-1-122-1-111-2-200001100-2-2-2-2001111-1-1200-2-1-111110000000000110000
χ2722222-122-1-122222-12-12-1-1-1-12-1-1-1-122-1-2-222-122-1-122-1-1-1-1-1-1-1-1-1-200211-2-211-1-1220000-1-100-2-2-2-200111111-200211-1-1-1-10000000000110000
χ2822222-122-1-122222-12-12-1-1-1-12-1-1-1-122-1-2-2-2-2-122-1-122-1-1-1-1-1-1-1-1-1-200-211-2-21111-2-200001100222200-1-1-1-111-200-21111110000000000-1-10000
χ2922222-122-1-122222-1-2-12-111-12-1-1-1-122-12222-1-2-211-2-211-1-1-11111-200-2-1-12211-1-1220000110022-2-2001111-1-1-200-211-1-1110000000000-1-10000
χ3022222-122-1-122222-1-2-12-111-12-1-1-1-122-122-2-2-1-2-211-2-211-1-1-11111-2002-1-1221111-2-20000-1-100-2-22200-1-1-1-1-1-1-20021111-1-10000000000110000
χ3122222-122-1-122222-1-2-12-111-12-1-1-1-122-1-2-222-1-2-211-2-211-1-1-11111200-211-2-2-1-1-1-12200001100-2-22200-1-1-1-111200-2-1-1-1-1110000000000110000
χ3222222-122-1-122222-1-2-12-111-12-1-1-1-122-1-2-2-2-2-1-2-211-2-211-1-1-11111200211-2-2-1-111-2-20000-1-10022-2-2001111112002-1-111-1-10000000000-1-10000
χ332222-122222-12-1-1222-1-1222-1-122-1-1-1-120022-1-12-1-1-1-122-1-1-1-1-1-1-1022200000022-1-122-1-122000000220000000-12-100-1-1-1-1-1-1-1-10200-1-1000-100
χ342222-122222-12-1-1222-1-1222-1-122-1-1-1-120022-1-12-1-1-1-122-1-1-1-1-1-1-10-2-2200000022-1-1-2-21122000000-2-200000001-2-100-1-1-1-111110-20011000100
χ352222-122222-12-1-1222-1-1222-1-122-1-1-1-1200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1022-2000000-2-21122-1-1-2-2000000-2-20000000-121001111-1-1-1-10-20011000100
χ362222-122222-12-1-1222-1-1222-1-122-1-1-1-1200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2-2-2000000-2-211-2-211-2-20000002200000001-2100111111110200-1-1000-100
χ372222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-120022-11-21111-2-2-1-1-1111102-2-200000022-1-12211-2-2000000-2-20000000-1-2100-1-111-1-111020011000-100
χ382222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-120022-11-21111-2-2-1-1-111110-22-200000022-1-1-2-2-1-1-2-200000022000000012100-1-11111-1-10-200-1-1000100
χ392222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-1200-2-2-11-21111-2-2-1-1-1111102-22000000-2-211221122000000220000000-1-2-10011-1-1-1-1110-200-1-1000100
χ402222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-1200-2-2-11-21111-2-2-1-1-111110-222000000-2-211-2-2-1-122000000-2-2000000012-10011-1-111-1-1020011000-100
χ4122-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-200002000000002-2-20000000000000000000000002-2002i−2i2i−2i2i2i−2i−2i0000000000000000002-22i−2i000000
χ4222-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-200002000000002-2-20000000000000000000000002-200−2i2i−2i2i−2i−2i2i2i0000000000000000002-2−2i2i000000
χ4322-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-200002000000002-2-2000000000000000000000000-22002i−2i−2i2i2i2i−2i−2i000000000000000000-22−2i2i000000
χ4422-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-200002000000002-2-2000000000000000000000000-2200−2i2i2i−2i−2i−2i2i2i000000000000000000-222i−2i000000
χ452-22-2222-2-22-222-2-2-20222002-2-2-2-2-2-2222-22i−2i200000000-22-2000000002-22-2002i−2i2i−2i000000002i−2i000000002-20000002i−2i0000000000002i−2i0000
χ462-22-2222-2-22-222-2-2-20222002-2-2-2-2-2-2222-2−2i2i200000000-22-2000000002-22-200−2i2i−2i2i00000000−2i2i000000002-2000000−2i2i000000000000−2i2i0000
χ472-22-2222-2-22-222-2-2-20222002-2-2-2-2-2-222-222i−2i200000000-22-200000000-22-22002i−2i2i−2i00000000−2i2i00000000-220000002i−2i000000000000−2i2i0000
χ482-22-2222-2-22-222-2-2-20222002-2-2-2-2-2-222-22−2i2i200000000-22-200000000-22-2200−2i2i−2i2i000000002i−2i00000000-22000000−2i2i0000000000002i−2i0000
χ492-22-22-12-21-1-222-2-210-12-1−i3i3-1-21111-22-12-22i−2i-100−i3i300−i3i31-11−i3−i3i3i30000-112-2−i3i3−ii2i−2i00003−3002i−2i00003−33−3-110000−i3i3−ii3−30000000000−ii0000
χ502-22-22-12-21-1-222-2-210-12-1−i3i3-1-21111-22-12-2−2i2i-100−i3i300−i3i31-11−i3−i3i3i30000-112-2−i3i3i−i−2i2i0000−3300−2i2i0000−33−33-110000−i3i3i−i−330000000000i−i0000
χ512-22-22-12-21-1-222-2-210-12-1−i3i3-1-21111-22-1-222i−2i-100−i3i300−i3i31-11−i3−i3i3i300001-1-22i3−i3−ii2i−2i00003−300−2i2i0000−33−331-10000i3−i3−ii3−30000000000i−i0000
χ522-22-22-12-21-1-222-2-210-12-1−i3i3-1-21111-22-1-22−2i2i-100−i3i300−i3i31-11−i3−i3i3i300001-1-22i3−i3i−i−2i2i0000−33002i−2i00003−33−31-10000i3−i3i−i−330000000000−ii0000
χ532-22-22-12-21-1-222-2-210-12-1i3−i3-1-21111-22-12-22i−2i-100i3−i300i3−i31-11i3i3−i3−i30000-112-2i3−i3−ii2i−2i0000−33002i−2i0000−33−33-110000i3−i3−ii−330000000000−ii0000
χ542-22-22-12-21-1-222-2-210-12-1i3−i3-1-21111-22-12-2−2i2i-100i3−i300i3−i31-11i3i3−i3−i30000-112-2i3−i3i−i−2i2i00003−300−2i2i00003−33−3-110000i3−i3i−i3−30000000000i−i0000
χ552-22-22-12-21-1-222-2-210-12-1i3−i3-1-21111-22-1-222i−2i-100i3−i300i3−i31-11i3i3−i3−i300001-1-22−i3i3−ii2i−2i0000−3300−2i2i00003−33−31-10000−i3i3−ii−330000000000i−i0000
χ562-22-22-12-21-1-222-2-210-12-1i3−i3-1-21111-22-1-22−2i2i-100i3−i300i3−i31-11i3i3−i3−i300001-1-22−i3i3i−i−2i2i00003−3002i−2i0000−33−331-10000−i3i3i−i3−30000000000−ii0000
χ5744444-2-2-2-2-24-244-2-24-2-21-2-2-2-211-2-2-2-21440014-2-2-2-2-21111111114000-2-2-2-2-2-2000000000000000000000011-20001100000000000000000000
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χ5944444-2-2-2-2-24-244-2-2-4-2-2122-2-211-2-2-2-2144001-422222-1-1111-1-1-1-1-4000-2-2-2-2220000000000000000000000112000-1-100000000000000000000
χ6044444-2-2-2-2-24-244-2-2-4-2-2122-2-211-2-2-2-21-4-4001-422222-1-1111-1-1-1-140002222-2-20000000000000000000000-1-1-20001100000000000000000000
χ614444-24-2-244-2-2-2-2-244-21-244-21-2-2-2-211-200001-2-2-2-211-2-2111111104400000000000-2-2-2-200000000000000000-2-200000001111000000000000
χ624444-24-2-244-2-2-2-2-244-21-244-21-2-2-2-211-200001-2-2-2-211-2-211111110-4-400000000000222200000000000000000220000000-1-1-1-1000000000000
χ634444-24-2-244-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-2000012222-1-122111-1-1-1-104-400000000000-2-22200000000000000000-22000000011-1-1000000000000
χ644444-24-2-244-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-2000012222-1-122111-1-1-1-10-440000000000022-2-2000000000000000002-20000000-1-111000000000000
χ654444-2-244-2-2-24-2-24-241-2-2-2-21-2-2-211-2-2-200441-2411-2-2-2-211111110004000000-2-2-2-20000-2-200000000000000000-20011110000000000000000
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χ804-44-44-2-222-2-4-24-4220-2-212i3−2i3-22-1-1222-21-44001002i3−2i300−i3i3-11-1−i3−i3i3i300002-22-2−2i32i30000000000000000000000-110000i3−i300000000000000000000
χ814-44-4-244-4-4424-22-4-40-2-2400-22-4-4222-24004i−4i-2000000002-22000000000000004i−4i−2i2i00000000000000000000000000−2i2i000000000000000000
χ824-44-4-244-4-4424-22-4-40-2-2400-22-4-4222-2400−4i4i-2000000002-2200000000000000−4i4i2i−2i000000000000000000000000002i−2i000000000000000000
χ834-44-4-2-24-42-224-22-4201-2-2−2i32i31222-1-12-2-2004i−4i100i3−i300−2i32i3-11-1i3i3−i3−i30000000000−2i2i−2i2i000023−2300000000000000000000i−i−330000000000000000
χ844-44-4-2-24-42-224-22-4201-2-2−2i32i31222-1-12-2-200−4i4i100i3−i300−2i32i3-11-1i3i3−i3−i300000000002i−2i2i−2i0000−232300000000000000000000−ii3−30000000000000000
χ854-44-4-2-24-42-224-22-4201-2-22i3−2i31222-1-12-2-2004i−4i100−i3i3002i3−2i3-11-1−i3−i3i3i30000000000−2i2i−2i2i0000−232300000000000000000000i−i3−30000000000000000
χ864-44-4-2-24-42-224-22-4201-2-22i3−2i31222-1-12-2-200−4i4i100−i3i3002i3−2i3-11-1−i3−i3i3i300000000002i−2i2i−2i000023−2300000000000000000000−ii−330000000000000000
χ874-4-444444-4-4-4-4-44-44044400-44-44-44-4-4-40000400000000-4-440000000000000000000000000000000000000000000000000000000000000000
χ884-4-4444-2-2-4-4-42-442404-2-200-4-22-2-442220000-20000000022-200000000000000000023−23000000000000000000000000000023−2300000000000000
χ894-4-4444-2-2-4-4-42-442404-2-200-4-22-2-442220000-20000000022-2000000000000000000−23230000000000000000000000000000−232300000000000000
χ904-4-444-24422-4-4-44-4-20-24-200242-22-2-4-420000-20000000022-200000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ914-4-444-24422-4-4-44-4-20-24-200242-22-2-4-420000-20000000022-2000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ924-4-44-2444-4-42-42-2-440-2-24002-2-442-222-40000-20000000022-20000000000000000000023−23000000000000000000000000000023−23000000000000
χ934-4-44-2444-4-42-42-2-440-2-24002-2-442-222-40000-20000000022-200000000000000000000−23230000000000000000000000000000−2323000000000000
χ944-4-44-24-2-2-4-4222-2240-21-200212-22-2-1-120000100003-300-1-113-33-30000000000000023−2323−2300000000000000000000000000−33−33000000000000
χ954-4-44-24-2-2-4-4222-2240-21-200212-22-2-1-120000100003-300-1-113-33-300000000000000−2323−2323000000000000000000000000003−33−3000000000000
χ964-4-44-24-2-2-4-4222-2240-21-200212-22-2-1-12000010000-3300-1-11-33-330000000000000023−23−232300000000000000000000000000−333−3000000000000
χ974-4-44-24-2-2-4-4222-2240-21-200212-22-2-1-12000010000-3300-1-11-33-3300000000000000−232323−23000000000000000000000000003−3−33000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-44-4484-8-8-440-4-4200442-2-44-44-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-448-8-4444-4-80-42-4004-2-44-442-2400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-8-44-4-8448402-4-400-24-442-2-44400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44-44-4444-44022200-2-22-22-22-2-20000-100000000-111−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-44-44-4444-44022200-2-22-22-22-2-20000-100000000-1113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-44-884-4-444-80-42-400-4-24444-22-40000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44-4-44440222−4i34i32-2-2-2-2-2-2220000-1002i3−2i3002i3−2i31-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444-44-4-444402224i3−4i32-2-2-2-2-2-2220000-100−2i32i300−2i32i31-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4-444-84-884-40-4-42004-4-224-444-20000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-488444-84-4-8-402-4-400-2-44-4-224440000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-444444-44-4022200-22-22-22-2-2-20000-100006-60011-1-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-444444-44-4022200-22-22-22-2-2-20000-10000-660011-13-33-3000000000000000000000000000000000000000000000000000000000000

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