Finite Group Databasebeta

← Group #13172009

Character table — Group #13172009

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order12223336666666662333666666666662244366666666666666624446666661212121212121212121244121212126666612121212121212121212122444412121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-11111-1-1111111-1-111111111-111-1-11-11111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-11-1-1111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-111-1-11-111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-11111-1-1-11111111-1-11-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-1-11-1-1-1-111-1-1-1-1-1-111-1-11111111-1-111-11-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-111-1-11111111111111-1-1-1-1-111-1-1-1-1-11-11-1-1-111-1-1-11-11
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-111-1-1-11-1-1-111-1-1111-1-1-1111-1-1-1-11-11-1
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-111111-1
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1111111111-1-1-11
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1111111111-1-11-1
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-11111-11
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1111-1-111-1-11-1-1-1111-1-1-1-11-1-11
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-111111-1-11111-11-11-1-1-111-1-1-111-1
χ17222222-12-122-122-122-12-122-122-1-1-1-12-10022-12-1-1-122-1-1-1-1-1-1-1-1-120220000-1-10022-1-12222000000200-1-1-1-1000-1-1-1-1-1-12002000-1-100-1000
χ18222222-12-122-122-122-12-122-122-1-1-1-12-10022-12-1-1-122-1-1-1-1-1-1-1-1-1-202-20000110022-1-1-2-222000000-20011-11000-1-1-1-111-200-200011001000
χ19222222-12-122-122-122-12-122-122-1-1-1-12-100-2-2-12-1-1-122-1-1-1-1-1-1-1-1-120-220000-1-100-2-21122-2-2000000200-1-11-10001111-1-1-200-200011001000
χ20222222-12-122-122-122-12-122-122-1-1-1-12-100-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-20-2-200001100-2-211-2-2-2-2000000-20011110001111112002000-1-100-1000
χ21222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-10022-1-2111-2-211-1-1-1111120-2-20000-1-100-2-2-1-1-2-222000000200-1-111000-1-11111-2002000-1-1001000
χ22222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-10022-1-2111-2-211-1-1-11111-20-2200001100-2-2-1-12222000000-200111-1000-1-111-1-1200-20001100-1000
χ23222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-1-2111-2-211-1-1-11111202-20000-1-1002211-2-2-2-2000000200-1-1-1100011-1-111200-20001100-1000
χ24222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-1-2111-2-211-1-1-11111-202200001100221122-2-2000000-20011-1-100011-1-1-1-1-2002000-1-1001000
χ2522222-12-12222-1-12222-1-1222-1-1-1-122-1-12200-1-1222-1-1-1-1-1-1-1-1-1-1-1220222-1-122220000-1-100000000-1-1-1-1-102-1-1-10000-1-102002-1-100000-100
χ2622222-12-12222-1-12222-1-1222-1-1-1-122-1-12200-1-1222-1-1-1-1-1-1-1-1-1-1-1-220-222-1-1-2-222000011000000001-1-1110-2-1-1-10000110-200-21100000100
χ2722222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-1-1222-1-1-1-1-1-1-1-1-1-1-12-202-2-21122-2-20000-1-100000000-111-1-1021110000-1-10-200-21100000100
χ2822222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211-2-2-2-200001100000000111110-211100001102002-1-100000-100
χ2922222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-11-2-2-21111-1-1-111112-20-222-1-122-2-200001100000000-1-1-1-1-10-21110000110200-21100000-100
χ3022222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-11-2-2-21111-1-1-11111-2-20222-1-1-2-2-2-20000-1-1000000001-1-111021110000-1-10-2002-1-100000100
χ3122222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-11-2-2-21111-1-1-11111220-2-2-211222200001100000000-111-1-10-2-1-1-10000110-2002-1-100000100
χ3222222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-11-2-2-21111-1-1-11111-2202-2-211-2-2220000-1-1000000001111102-1-1-10000-1-10200-21100000-100
χ332222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-10220-1-12200-1-1-1-12200-1-122-1-1-1-10-1-100202-1-1-1-1-1-100002000000-1-10000
χ342222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-102-20-1-12200-1-111-2-20011-2-211110-1-100-202-1-111110000-2000000110000
χ352222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-10-22011-2-20011-1-12200-1-1-2-211110110020-211-1-1-1-10000-2000000110000
χ362222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2-2011-2-2001111-2-2001122-1-1-1-101100-20-211111100002000000-1-10000
χ372222-12222-1-12222-1-2-1-1211-1-1-122-1-1-122222-1-2-21111-2-2-1-1-111110-2-20-1-1220011112200-1-122-1-1-1-10-1-100-20-211-1-1110000-2000000110000
χ382222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1222-2-2-1-2-21111-2-2-1-1-111110-220-1-1220011-1-1-2-20011-2-211110-1-10020-21111-1-100002000000-1-10000
χ392222-12222-1-12222-1-2-1-1211-1-1-122-1-1-12-2-222-1-2-21111-2-2-1-1-1111102-2011-2-200-1-1112200-1-1-2-2111101100-202-1-1-1-11100002000000-1-10000
χ402222-12222-1-12222-1-2-1-1211-1-1-122-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111022011-2-200-1-1-1-1-2-2001122-1-1-1-101100202-1-111-1-10000-2000000110000
χ4122-2-2222-222-2-22-2-2-20222002-2-22-2-2-22-22-22i−2i2000000002-2-2000000002-22-20000002i−2i002i−2i2i−2i2i2i−2i−2i02-200000002i−2i0000000000000000000
χ4222-2-2222-222-2-22-2-2-20222002-2-22-2-2-22-22-2−2i2i2000000002-2-2000000002-22-2000000−2i2i00−2i2i−2i2i−2i−2i2i2i02-20000000−2i2i0000000000000000000
χ4322-2-2222-222-2-22-2-2-20222002-2-22-2-2-22-2-222i−2i2000000002-2-200000000-22-220000002i−2i002i−2i−2i2i−2i−2i2i2i0-2200000002i−2i0000000000000000000
χ4422-2-2222-222-2-22-2-2-20222002-2-22-2-2-22-2-22−2i2i2000000002-2-200000000-22-22000000−2i2i00−2i2i2i−2i2i2i−2i−2i0-220000000−2i2i0000000000000000000
χ4522-2-2-122-22-11-22-2-210-1-12−i3i3-1112-211-1-22-22i−2i-100−i3i3−i3i300-111−i3−i3i3i30000-112-200−i3i33−32i−2i00−ii2i−2i−i−iii0-1100000−i3i3−ii3−3000000000003−30000
χ4622-2-2-122-22-11-22-2-210-1-12−i3i3-1112-211-1-22-2−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000-112-200−i3i3−33−2i2i00i−i−2i2iii−i−i0-1100000−i3i3i−i−3300000000000−330000
χ4722-2-2-122-22-11-22-2-210-1-12−i3i3-1112-211-1-2-222i−2i-100−i3i3−i3i300-111−i3−i3i3i300001-1-2200i3−i33−32i−2i00−ii−2i2iii−i−i01-100000i3−i3−ii3−300000000000−330000
χ4822-2-2-122-22-11-22-2-210-1-12−i3i3-1112-211-1-2-22−2i2i-100−i3i3−i3i300-111−i3−i3i3i300001-1-2200i3−i3−33−2i2i00i−i2i−2i−i−iii01-100000i3−i3i−i−33000000000003−30000
χ4922-2-2-122-22-11-22-2-210-1-12i3−i3-1112-211-1-22-22i−2i-100i3−i3i3−i300-111i3i3−i3−i30000-112-200i3−i3−332i−2i00−ii2i−2i−i−iii0-1100000i3−i3−ii−3300000000000−330000
χ5022-2-2-122-22-11-22-2-210-1-12i3−i3-1112-211-1-22-2−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000-112-200i3−i33−3−2i2i00i−i−2i2iii−i−i0-1100000i3−i3i−i3−3000000000003−30000
χ5122-2-2-122-22-11-22-2-210-1-12i3−i3-1112-211-1-2-222i−2i-100i3−i3i3−i300-111i3i3−i3−i300001-1-2200−i3i3−332i−2i00−ii−2i2iii−i−i01-100000−i3i3−ii−33000000000003−30000
χ5222-2-2-122-22-11-22-2-210-1-12i3−i3-1112-211-1-2-22−2i2i-100i3−i3i3−i300-111i3i3−i3−i300001-1-2200−i3i33−3−2i2i00i−i2i−2i−i−iii01-100000−i3i3i−i3−300000000000−330000
χ5344444-2-2-2-244-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-211111111140040000-2-2000000-2-200000000-200110-2000000011000000000000000
χ5444444-2-2-2-244-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111-400-40000220000002200000000200-1-1020000000-1-1000000000000000
χ5544444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-1400-40000-2-20000002200000000-20011020000000-1-1000000000000000
χ5644444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-1-4004000022000000-2-200000000200-1-10-2000000011000000000000000
χ574444-24-24-2-2-2-244-2-241-2-2-2-21-2-2-2-211-2-2004414-211-2-2-2-21111111004000000000-2-2-2-200-2-200000000000-20000111100000000000000000
χ584444-24-24-2-2-2-244-2-241-2-2-2-21-2-2-2-211-2-200-4-414-211-2-2-2-2111111100-4000000000222200220000000000020000-1-1-1-100000000000000000
χ594444-24-24-2-2-2-244-2-2-41-2-2221-2-2-2-211-2-200441-42-1-12222111-1-1-1-100-400000000022-2-200-2-2000000000002000011-1-100000000000000000
χ604444-24-24-2-2-2-244-2-2-41-2-2221-2-2-2-211-2-200-4-41-42-1-12222111-1-1-1-1004000000000-2-222002200000000000-20000-1-11100000000000000000
χ614444-2-24-24-2-24-2-24-24-21-2-2-2-211-2-2-2-21-244001-24-2-211-2-211111110400-2-2-2-200-2-2000000000000000110000-211000000000000000000000
χ624444-2-24-24-2-24-2-24-24-21-2-2-2-211-2-2-2-21-2-4-4001-24-2-211-2-211111110-40022220022000000000000000-1-100002-1-1000000000000000000000
χ634444-2-24-24-2-24-2-24-2-4-21-222-211-2-2-2-21-2440012-422-1-122111-1-1-1-10-400-2-2-2-200220000000000000001100002-1-1000000000000000000000
χ644444-2-24-24-2-24-2-24-2-4-21-222-211-2-2-2-21-2-4-40012-422-1-122111-1-1-1-10400222200-2-2000000000000000-1-10000-211000000000000000000000
χ6544-4-444-2-4-24-424-42-40-24-200-2-4-4-222242004i−4i-200000000-222000000000000000000−2i2i004i−4i0000000000000000−2i2i0000000000000000000
χ6644-4-444-2-4-24-424-42-40-24-200-2-4-4-22224200−4i4i-200000000-2220000000000000000002i−2i00−4i4i00000000000000002i−2i0000000000000000000
χ6744-4-44-24244-4-4-22-4-404-2-200422-22-4-4-224-400-200000000-222000000004-4-220000000000000000000-220000000000000000000000000000
χ6844-4-44-24244-4-4-22-4-404-2-200422-22-4-4-22-4400-200000000-22200000000-442-200000000000000000002-20000000000000000000000000000
χ6944-4-4-24-2-4-2-2224-42201-2-2−2i32i3122-22-1-1-22004i−4i100i3−i3−2i32i3001-1-1i3i3−i3−i300000000000023−23−2i2i00−2i2i0000000000000000i−i−3300000000000000000
χ7044-4-4-24-2-4-2-2224-42201-2-2−2i32i3122-22-1-1-2200−4i4i100i3−i3−2i32i3001-1-1i3i3−i3−i3000000000000−23232i−2i002i−2i0000000000000000−ii3−300000000000000000
χ7144-4-4-24-2-4-2-2224-42201-2-22i3−2i3122-22-1-1-22004i−4i100−i3i32i3−2i3001-1-1−i3−i3i3i3000000000000−2323−2i2i00−2i2i0000000000000000i−i3−300000000000000000
χ7244-4-4-24-2-4-2-2224-42201-2-22i3−2i3122-22-1-1-2200−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i300000000000023−232i−2i002i−2i0000000000000000−ii−3300000000000000000
χ7344-4-4-2-2424-22-4-22-420-21-2−2i32i3-2-1-1-2222124-400100−2i32i3i3−i3001-1-1i3i3−i3−i30000-22-2200−2i32i30000000000000001-100000i3−i3000000000000000000000
χ7444-4-4-2-2424-22-4-22-420-21-2−2i32i3-2-1-1-222212-4400100−2i32i3i3−i3001-1-1i3i3−i3−i300002-22-2002i3−2i3000000000000000-1100000−i3i3000000000000000000000
χ7544-4-4-2-2424-22-4-22-420-21-22i3−2i3-2-1-1-2222124-4001002i3−2i3−i3i3001-1-1−i3−i3i3i30000-22-22002i3−2i30000000000000001-100000−i3i3000000000000000000000
χ7644-4-4-2-2424-22-4-22-420-21-22i3−2i3-2-1-1-222212-44001002i3−2i3−i3i3001-1-1−i3−i3i3i300002-22-200−2i32i3000000000000000-1100000i3−i3000000000000000000000
χ774-44-44444-4-4-4-4-4-444044400-44-4-444-4-4-40000400000000-44-40000000000000000000000000000000000000000000000000000000000000
χ784-44-444-242-4-42-4-4-240-24-20024-42-2-22-420000-2000000002-2200000000000000000000000000000000000000000000000000000−2i32i3000000
χ794-44-444-242-4-42-4-4-240-24-20024-42-2-22-420000-2000000002-22000000000000000000000000000000000000000000000000000002i3−2i3000000
χ804-44-44-24-2-4-4-4-4224404-2-200-4-222-24-4220000-2000000002-2200000000000000000000000000000000000000000000000000023−2300000000
χ814-44-44-24-2-4-4-4-4224404-2-200-4-222-24-4220000-2000000002-22000000000000000000000000000000000000000000000000000−232300000000
χ824-44-4-2444-422-4-4-44-20-2-24002-22-44-222-40000-2000000002-2200000000000000000000000000−2i32i3−2i32i30000000000000000000000000000000
χ834-44-4-2444-422-4-4-44-20-2-24002-22-44-222-40000-2000000002-22000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000000
χ844-4-44444-4-4-444-44-4-4044400-4-44-4-4-44-440000400000000-4-440000000000000000000000000000000000000000000000000000000000000
χ854-4-4444-2-42-44-2-442-40-24-2002-44222-2-4-20000-20000000022-2000000000000−2i32i30000000000000000000−2i32i300000000000000000000000000
χ864-4-4444-2-42-44-2-442-40-24-2002-44222-2-4-20000-20000000022-20000000000002i3−2i300000000000000000002i3−2i300000000000000000000000000
χ874-4-444-242-4-4442-2-4-404-2-200-42-222-442-20000-20000000022-200000000000000000000−2i32i30000000000000000000000−2i32i3000000000000000
χ884-4-444-242-4-4442-2-4-404-2-200-42-222-442-20000-20000000022-2000000000000000000002i3−2i300000000000000000000002i3−2i3000000000000000
χ894-4-444-2-222-44-22-22-40-2-210022-2-1-12-221000010000003-3-1-113-33-300000000−2i32i3000000−2i32i300000000000i3−i3000000000i3−i3000000000000000
χ904-4-444-2-222-44-22-22-40-2-210022-2-1-12-221000010000003-3-1-113-33-3000000002i3−2i30000002i3−2i300000000000−i3i3000000000−i3i3000000000000000
χ914-4-444-2-222-44-22-22-40-2-210022-2-1-12-22100001000000-33-1-11-33-3300000000−2i32i30000002i3−2i300000000000i3−i3000000000−i3i3000000000000000
χ924-4-444-2-222-44-22-22-40-2-210022-2-1-12-22100001000000-33-1-11-33-33000000002i3−2i3000000−2i32i300000000000−i3i3000000000i3−i3000000000000000
χ934-4-44-244-4-42-24-44-420-2-240022-2-4-42-2240000-20000000022-20000000000000000000000000023−23−23230000000000000000000000000000000
χ944-4-44-244-4-42-24-44-420-2-240022-2-4-42-2240000-20000000022-200000000000000000000000000−232323−230000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-44-48-84-444-80-4-4200-4442-244-4-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44-4-444-44440222−4i34i32-2-22-2-2-22-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44-4-444-444402224i3−4i32-2-22-2-2-22-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1008-88-88-4-4-44-8-8444-480-4-42004-44-22-444-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-484444-8-8-4-402-4-400-2-444-42-2440000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-4-844-8448-40-42-40042-24-4-44-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-4444444-4-4022200-22-2-222-2-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-4444444-4-4022200-22-2-222-2-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-844-4-4-884402-4-400-24-444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-84-484-4-840-42-4004-22444-4-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-4-44-444022200-2-22-2-2-22-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-4-44-444022200-2-22-2-2-22-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000

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