Finite Group Databasebeta

← Group #10593736

Character table — Group #10593736

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222224444444444444444444444444444444499991818181818183636363636363636
order122244444433666666121212121212121212121212121212121212121212121212222244444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-11-11-11-1
χ101111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-11-11-11
χ111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−ii−i−ii−ii
χ121111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−ii−iii−ii−i
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-111-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-111-1-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1i−i−ii−iii−i
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1−iii−ii−i−ii
χ1722-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2-22-200002i−2i00000000
χ1822-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-22-220000−2i2i00000000
χ1922-2-20000−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2-22-20000−2i2i00000000
χ2022-2-20000−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-22-2200002i−2i00000000
χ212-22-2002-20022-2-222-2-2000000002222-2-2-2-20000000022-2-2002-20000000000
χ222-22-2002-20022-2-222-2-2000000002222-2-2-2-200000000-2-22200-220000000000
χ232-22-200-220022-2-222-2-200000000-2-2-2-222220000000022-2-200-220000000000
χ242-22-200-220022-2-222-2-200000000-2-2-2-2222200000000-2-222002-20000000000
χ252-2-222i−2i000022-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000002-2-222i−2i000000000000
χ262-2-222i−2i000022-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000-222-2−2i2i000000000000
χ272-2-22−2i2i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000002-2-22−2i2i000000000000
χ282-2-22−2i2i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000-222-22i−2i000000000000
χ2944444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000
χ304444444444-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000
χ31444444-4-4-4-41-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000
χ32444444-4-4-4-4-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000
χ334444-4-444-4-41-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-122000000000000000000
χ344444-4-444-4-4-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-1000000000000000000
χ354444-4-4-4-4441-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-2000000000000000000
χ364444-4-4-4-444-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-211000000000000000000
χ3744-4-400004i−4i1-21-2-12-123-3003-3003i−3i003i−3i00ii−2i−2i−i−i2i2i000000000000000000
χ3844-4-400004i−4i1-21-2-12-12-3300-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i000000000000000000
χ3944-4-400004i−4i-21-212-12-1003-3003-3003i−3i003i−3i−2i−2iii2i2i−i−i000000000000000000
χ4044-4-400004i−4i-21-212-12-100-3300-3300−3i3i00−3i3i−2i−2iii2i2i−i−i000000000000000000
χ4144-4-40000−4i4i1-21-2-12-123-3003-300−3i3i00−3i3i00−i−i2i2iii−2i−2i000000000000000000
χ4244-4-40000−4i4i1-21-2-12-12-3300-33003i−3i003i−3i00−i−i2i2iii−2i−2i000000000000000000
χ4344-4-40000−4i4i-21-212-12-1003-3003-300−3i3i00−3i3i2i2i−i−i−2i−2iii000000000000000000
χ4444-4-40000−4i4i-21-212-12-100-3300-33003i−3i003i−3i2i2i−i−i−2i−2iii000000000000000000
χ454-44-4004-4001-2-121-2-123i−3i00−3i3i0011-2-2-1-1223i−3i003i−3i00000000000000000000
χ464-44-4004-4001-2-121-2-12−3i3i003i−3i0011-2-2-1-122−3i3i00−3i3i00000000000000000000
χ474-44-4004-400-212-1-212-1003i−3i00−3i3i-2-21122-1-1003i−3i003i−3i000000000000000000
χ484-44-4004-400-212-1-212-100−3i3i003i−3i-2-21122-1-100−3i3i00−3i3i000000000000000000
χ494-44-400-44001-2-121-2-123i−3i00−3i3i00-1-12211-2-2−3i3i00−3i3i00000000000000000000
χ504-44-400-44001-2-121-2-12−3i3i003i−3i00-1-12211-2-23i−3i003i−3i00000000000000000000
χ514-44-400-4400-212-1-212-1003i−3i00−3i3i22-1-1-2-21100−3i3i00−3i3i000000000000000000
χ524-44-400-4400-212-1-212-100−3i3i003i−3i22-1-1-2-211003i−3i003i−3i000000000000000000
χ534-4-444i−4i00001-2-12-121-2ii−2i−2i−i−i2i2i3i−3i00−3i3i00-33003-300000000000000000000
χ544-4-444i−4i00001-2-12-121-2ii−2i−2i−i−i2i2i−3i3i003i−3i003-300-3300000000000000000000
χ554-4-444i−4i0000-212-12-1-21−2i−2iii2i2i−i−i003i−3i00−3i3i00-33003-3000000000000000000
χ564-4-444i−4i0000-212-12-1-21−2i−2iii2i2i−i−i00−3i3i003i−3i003-300-33000000000000000000
χ574-4-44−4i4i00001-2-12-121-2−i−i2i2iii−2i−2i3i−3i00−3i3i003-300-3300000000000000000000
χ584-4-44−4i4i00001-2-12-121-2−i−i2i2iii−2i−2i−3i3i003i−3i00-33003-300000000000000000000
χ594-4-44−4i4i0000-212-12-1-212i2i−i−i−2i−2iii003i−3i00−3i3i003-300-33000000000000000000
χ604-4-44−4i4i0000-212-12-1-212i2i−i−i−2i−2iii00−3i3i003i−3i00-33003-3000000000000000000

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