Finite Group Databasebeta

← Group #11921913

Character table — Group #11921913

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222333344666666888812121212161616161616161616162424242424242424242424243636363636363636363648484848
order1222344666222212124466663666441212366612121212121244441212121212121212224444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ311111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ511111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-1111-1-1-111-1-111-1-1
χ611111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-11-11-1-111-1-111-1-11-111-1-11111-1-1
χ711111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1111-1-111-1-111
χ811111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-11-11-1-111-1-11111-11-1-111-1-1-1-111
χ92222222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000000022000000-1-1-1-1
χ102222222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-100000000000000-2-20000001111
χ1122222-2-22222222-2-2-2-22222-1-1-1-12-2-2-2-1-1-1-1111111000000000000002-2000000-1-111
χ1222222-2-22222222-2-2-2-22222-1-1-1-1-22-2-2-1-1-1-111111100000000000000-2200000011-1-1
χ132222-122-1-1-12222-1-122-1-1-1-1222200-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ142222-122-1-1-12222-1-122-1-1-1-1222200-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111100000000000000
χ152222-1-2-2-1-1-1222211-2-2-1-1-1-122220011-1-1-1-1-2-211112-22-2-1-111-1-11100000000000000
χ162222-1-2-2-1-1-1222211-2-2-1-1-1-122220011-1-1-1-1-2-21111-22-2211-1-111-1-100000000000000
χ1722-2-22002-2-22-22-2000022-2-222-2-2000022-2-20000000000000000002-200002-2000000
χ1822-2-22002-2-22-22-2000022-2-222-2-2000022-2-2000000000000000000-220000-22000000
χ192-22-2200-22-2-222-200002-22-22-2-2200002-22-200000000000000000000002i−2i002i−2i0000
χ202-22-2200-22-2-222-200002-22-22-2-2200002-22-20000000000000000000000−2i2i00−2i2i0000
χ212-2-2222-2-2-22-2-2222-22-22-2-222-22-2002-22-2-222-222-2-200000000000000000000000000
χ222-2-2222-2-2-22-2-2222-22-22-2-22-11-11002-2-111-1-11-1-11100000000000000000000003−33−3
χ232-2-2222-2-2-22-2-2222-22-22-2-22-11-11002-2-111-1-11-1-1110000000000000000000000−33−33
χ242-2-222-22-2-22-2-222-22-222-2-222-22-200-222-2-22-22-2-22200000000000000000000000000
χ252-2-222-22-2-22-2-222-22-222-2-22-11-1100-22-111-11-111-1-100000000000000000000003−3−33
χ262-2-222-22-2-22-2-222-22-222-2-22-11-1100-22-111-11-111-1-10000000000000000000000−333−3
χ272-2-22-12-211-1-2-222-112-2-111-12-22-200-11-111-12-2-1-1110000−i3i3−i3i3−i3i3−i3i300000000000000
χ282-2-22-12-211-1-2-222-112-2-111-12-22-200-11-111-12-2-1-1110000i3−i3i3−i3i3−i3i3−i300000000000000
χ292-2-22-1-2211-1-2-2221-1-22-111-12-22-2001-1-111-1-2211-1-10000−i3i3i3−i3−i3i3i3−i300000000000000
χ302-2-22-1-2211-1-2-2221-1-22-111-12-22-2001-1-111-1-2211-1-10000i3−i3−i3i3i3−i3−i3i300000000000000
χ313333333333-1-1-1-133-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-111-1-111-1-1-1-10000
χ323333333333-1-1-1-133-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-1-1-1-1-111110000
χ333333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-1-1-111-1-111110000
χ343333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-11111111111-1-1-1-10000
χ3533333-3-3333-1-1-1-1-3-311-1-1-1-100003-31100000000001-1-1111-1-1-1-11111-11-1-1-1-1110000
χ3633333-3-3333-1-1-1-1-3-311-1-1-1-100003-3110000000000-111-1-1-11111-1-1-1-1-111111-1-10000
χ3733333-3-3333-1-1-1-1-3-311-1-1-1-10000-331100000000001-1-1111-1-1-1-111-1-11-11111-1-10000
χ3833333-3-3333-1-1-1-1-3-311-1-1-1-10000-33110000000000-111-1-1-11111-1-1111-1-1-1-1-1110000
χ394444-244-2-2-24444-2-244-2-2-2-2-2-2-2-200-2-21111-2-2111100000000000000000000000000
χ404444-2-4-4-2-2-2444422-4-4-2-2-2-2-2-2-2-20022111122-1-1-1-100000000000000000000000000
χ4144-4-44004-4-44-44-4000044-4-4-2-2220000-2-22200000000000000000000000000000000
χ4244-4-4-200-2224-44-40000-2-22244-4-40000-2-22200000000000000000000000000000000
χ4344-4-4-200-2224-44-40000-2-222-2-222000011-1-1003i−3i3i−3i00000000000000000000000000
χ4444-4-4-200-2224-44-40000-2-222-2-222000011-1-100−3i3i−3i3i00000000000000000000000000
χ454-44-4400-44-4-444-400004-44-4-222-20000-22-2200000000000000000000000000000000
χ464-44-4-2002-22-444-40000-22-224-4-440000-22-2200000000000000000000000000000000
χ474-44-4-2002-22-444-40000-22-22-222-200001-11-1003i−3i−3i3i00000000000000000000000000
χ484-44-4-2002-22-444-40000-22-22-222-200001-11-100−3i3i3i−3i00000000000000000000000000
χ494-4-44-24-422-2-4-444-224-4-222-2-22-2200-221-1-11-2211-1-100000000000000000000000000
χ504-4-44-2-4422-2-4-4442-2-44-222-2-22-22002-21-1-112-2-1-11100000000000000000000000000
χ516666-366-3-3-3-2-2-2-2-3-3-2-2111100000011000000000022-2-2-1-1-1-1111100000000000000
χ526666-366-3-3-3-2-2-2-2-3-3-2-21111000000110000000000-2-2221111-1-1-1-100000000000000
χ536666-3-6-6-3-3-3-2-2-2-233221111000000-1-100000000002-2-22-1-11111-1-100000000000000
χ546666-3-6-6-3-3-3-2-2-2-233221111000000-1-10000000000-222-211-1-1-1-11100000000000000
χ5566-6-66006-6-6-22-220000-2-2220000000000000000000000000000002-20000-22000000
χ5666-6-66006-6-6-22-220000-2-222000000000000000000000000000000-2200002-2000000
χ576-66-6600-66-62-2-220000-22-2200000000000000000000000000000000002i−2i00−2i2i0000
χ586-66-6600-66-62-2-220000-22-220000000000000000000000000000000000−2i2i002i−2i0000
χ596-6-6666-6-6-6622-2-26-6-22-222-2000000-22000000000000000000000000000000000000
χ606-6-666-66-6-6622-2-2-662-2-222-20000002-2000000000000000000000000000000000000
χ616-6-66-36-633-322-2-2-33-221-1-110000001-100000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ626-6-66-36-633-322-2-2-33-221-1-110000001-100000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ636-6-66-3-6633-322-2-23-32-21-1-11000000-1100000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ646-6-66-3-6633-322-2-23-32-21-1-11000000-1100000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ651212-12-12-600-666-44-44000022-2-200000000000000000000000000000000000000000000
χ6612-1212-12-6006-664-4-4400002-22-200000000000000000000000000000000000000000000

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