Finite Group Databasebeta

← Group #72220556

Character table — Group #72220556

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size114444444499991616161616161616181818183636363636363636363636363636363636363636363636368181162162162162162162162162
order1233336666222233336666444466666666121212121212121212121212121212122244444444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ41111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111-11-11111111111i−i11-1-111-1-111111111iiii−i−i−i−i-1-1-1-1i−iii−i−i
χ611111111111-11-11111111111−ii11-1-111-1-111111111−i−i−i−iiiii-1-1-1-1−ii−i−iii
χ711111111111-11-111111111-1-1i−i11-1-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111i−i−i−iii
χ811111111111-11-111111111-1-1−ii11-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111−iiii−i−i
χ91111111111-11-1111111111i−i11-1-111-1-111iiii−i−i−i−i11111111-1-1i−i-1-1i−ii−i
χ101111111111-11-1111111111i−i-1-1-1-111-1-111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1i−i11−ii−ii
χ111111111111-11-1111111111−ii11-1-111-1-111−i−i−i−iiiii11111111-1-1−ii-1-1−ii−ii
χ121111111111-11-1111111111−ii-1-1-1-111-1-111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−ii11i−ii−i
χ131111111111-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−ii−ii-111-1
χ141111111111-1-1-1-111111111i−i−ii-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11−iii−i1-1-11
χ151111111111-1-1-1-111111111−iii−i-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11i−i−ii1-1-11
χ161111111111-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11i−ii−i-111-1
χ172-22222-2-2-2-222-2-22222-2-2-2-200002222-2-2-2-200000000000000002-200000000
χ182-22222-2-2-2-22-2-222222-2-2-2-2000022-2-2-2-2220000000000000000-2200000000
χ192-22222-2-2-2-2-222-22222-2-2-2-20000-2-22222-2-20000000000000000-2200000000
χ202-22222-2-2-2-2-2-2222222-2-2-2-20000-2-2-2-2222200000000000000002-200000000
χ2144144-2144-2040411-2-211-2-20044001-2001-20000000011-2-211-2-20000000000
χ2244144-2144-2040411-2-211-2-200-4-4001-2001-200000000-1-122-1-1220000000000
χ2344144-2144-20-40-411-2-211-2-2004i−4i00-1200-1200000000ii−2i−2i−i−i2i2i0000000000
χ2444144-2144-20-40-411-2-211-2-200−4i4i00-1200-1200000000−i−i2i2iii−2i−2i0000000000
χ254441-2441-2440401-21-21-21-244001-2001-20011-2-211-2-2000000000000000000
χ264441-2441-2440401-21-21-21-2-4-4001-2001-200-1-122-1-122000000000000000000
χ274441-2441-24-40-401-21-21-21-24i−4i00-1200-1200ii−2i−2i−i−i2i2i000000000000000000
χ284441-2441-24-40-401-21-21-21-2−4i4i00-1200-1200−i−i2i2iii−2i−2i000000000000000000
χ29444-2144-2144040-21-21-21-214400-2100-2100-2-211-2-211000000000000000000
χ30444-2144-2144040-21-21-21-21-4-400-2100-210022-1-122-1-1000000000000000000
χ31444-2144-214-40-40-21-21-21-214i−4i002-1002-100−2i−2iii2i2i−i−i000000000000000000
χ32444-2144-214-40-40-21-21-21-21−4i4i002-1002-1002i2i−i−i−2i−2iii000000000000000000
χ3344-2441-24410404-2-211-2-211004400-2100-2100000000-2-211-2-2110000000000
χ3444-2441-24410404-2-211-2-21100-4-400-2100-210000000022-1-122-1-10000000000
χ3544-2441-24410-40-4-2-211-2-211004i−4i002-1002-100000000−2i−2iii2i2i−i−i0000000000
χ3644-2441-24410-40-4-2-211-2-21100−4i4i002-1002-1000000002i2i−i−i−2i−2iii0000000000
χ374-4144-2-1-4-42040-411-2-2-1-1220000001-200-12000000003i−3i003i−3i000000000000
χ384-4144-2-1-4-42040-411-2-2-1-1220000001-200-1200000000−3i3i00−3i3i000000000000
χ394-4144-2-1-4-420-40411-2-2-1-122000000-12001-2000000003-300-33000000000000
χ404-4144-2-1-4-420-40411-2-2-1-122000000-12001-200000000-33003-3000000000000
χ414-441-24-4-12-440-401-21-2-12-1200001-200-12003i−3i003i−3i00000000000000000000
χ424-441-24-4-12-440-401-21-2-12-1200001-200-1200−3i3i00−3i3i00000000000000000000
χ434-441-24-4-12-4-40401-21-2-12-120000-12001-2003-300-3300000000000000000000
χ444-441-24-4-12-4-40401-21-2-12-120000-12001-200-33003-300000000000000000000
χ454-44-214-42-1-440-40-21-212-12-10000-21002-100003i−3i003i−3i000000000000000000
χ464-44-214-42-1-440-40-21-212-12-10000-21002-10000−3i3i00−3i3i000000000000000000
χ474-44-214-42-1-4-4040-21-212-12-100002-100-2100003-300-33000000000000000000
χ484-44-214-42-1-4-4040-21-212-12-100002-100-210000-33003-3000000000000000000
χ494-4-24412-4-4-1040-4-2-21122-1-1000000-21002-100000000003i−3i003i−3i0000000000
χ504-4-24412-4-4-1040-4-2-21122-1-1000000-21002-10000000000−3i3i00−3i3i0000000000
χ514-4-24412-4-4-10-404-2-21122-1-10000002-100-2100000000003-300-330000000000
χ524-4-24412-4-4-10-404-2-21122-1-10000002-100-210000000000-33003-30000000000
χ53161644-8-844-8-800001-2-241-2-2400000000000000000000000000000000000000
χ5416164-84-84-84-80000-214-2-214-200000000000000000000000000000000000000
χ551616-84-84-84-840000-241-2-241-200000000000000000000000000000000000000
χ561616-8-844-8-84400004-2-214-2-2100000000000000000000000000000000000000
χ5716-1644-8-8-4-48800001-2-24-122-400000000000000000000000000000000000000
χ5816-164-84-8-48-480000-214-22-1-4200000000000000000000000000000000000000
χ5916-16-84-848-48-40000-241-22-4-1200000000000000000000000000000000000000
χ6016-16-8-84488-4-400004-2-21-422-100000000000000000000000000000000000000

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