Finite Group Databasebeta

← Group #11921949

Character table — Group #11921949

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222333344666666888812121212161616161616161616162424242424242424242424243636363636363636363648484848
order122234466622221212446666366622121236661212121212124444121212121212121222444444446666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-11-111-1-111-1-111-1-1
χ611111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-11-11-1-111-1-1111-1-1-111-1-11111-1-1
χ711111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-11-1-111-1-111-1-111
χ811111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-11-11-1-111-1-111-1111-1-111-1-1-1-111
χ92222222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002200000000-1-1-1-1
χ102222222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-2000000001111
χ1122222-2-22222222-2-2-2-22222-1-1-1-12-2-2-2-1-1-1-11111110000000000002-200000000-1-111
χ1222222-2-22222222-2-2-2-22222-1-1-1-1-22-2-2-1-1-1-1111111000000000000-220000000011-1-1
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
χ1722-2-222-2-2-2222-2-22-22-22-2-222-2-22002-22-2-222-222-2-200000000000000000000000000
χ1822-2-222-2-2-2222-2-22-22-22-2-22-111-1002-2-111-1-11-1-1110000000000000000000000−i3i3−i3i3
χ1922-2-222-2-2-2222-2-22-22-22-2-22-111-1002-2-111-1-11-1-1110000000000000000000000i3−i3i3−i3
χ2022-2-22-22-2-2222-2-2-22-222-2-222-2-2200-222-2-22-22-2-22200000000000000000000000000
χ2122-2-22-22-2-2222-2-2-22-222-2-22-111-100-22-111-11-111-1-10000000000000000000000−i3i3i3−i3
χ2222-2-22-22-2-2222-2-2-22-222-2-22-111-100-22-111-11-111-1-10000000000000000000000i3−i3−i3i3
χ2322-2-2-12-211-122-2-2-112-2-111-12-2-2200-11-111-12-2-1-1110000−i3i3−i3i3−i3i3−i3i300000000000000
χ2422-2-2-12-211-122-2-2-112-2-111-12-2-2200-11-111-12-2-1-1110000i3−i3i3−i3i3−i3i3−i300000000000000
χ2522-2-2-1-2211-122-2-21-1-22-111-12-2-22001-1-111-1-2211-1-10000−i3i3i3−i3−i3i3i3−i300000000000000
χ2622-2-2-1-2211-122-2-21-1-22-111-12-2-22001-1-111-1-2211-1-10000i3−i3−i3i3i3−i3−i3i300000000000000
χ272-22-22002-2-22-22-2000022-2-222-2-2000022-2-200000000000000000000002i−2i002i−2i0000
χ282-22-22002-2-22-22-2000022-2-222-2-2000022-2-20000000000000000000000−2i2i00−2i2i0000
χ292-2-22200-22-22-2-2200002-22-22-22-200002-22-2000000000000000000002i−2i002i−2i000000
χ302-2-22200-22-22-2-2200002-22-22-22-200002-22-200000000000000000000−2i2i00−2i2i000000
χ313333333333-1-1-1-133-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-11111-1-1-1-10000
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
χ333333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-111-1-1-1-111110000
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
χ3533333-3-3333-1-1-1-1-3-311-1-1-1-100003-31100000000001-1-1111-1-1-1-111-1111-1-1-1-1110000
χ3633333-3-3333-1-1-1-1-3-311-1-1-1-100003-3110000000000-111-1-1-11111-1-1-11-1-11111-1-10000
χ3733333-3-3333-1-1-1-1-3-311-1-1-1-10000-331100000000001-1-1111-1-1-1-1111-1-1-11111-1-10000
χ3833333-3-3333-1-1-1-1-3-311-1-1-1-10000-33110000000000-111-1-1-11111-1-11-111-1-1-1-1110000
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
χ4144-4-4-24-422-244-4-4-224-4-222-2-222-200-221-1-11-2211-1-100000000000000000000000000
χ4244-4-4-2-4422-244-4-42-2-44-222-2-222-2002-21-1-112-2-1-11100000000000000000000000000
χ434-44-44004-4-44-44-4000044-4-4-2-2220000-2-22200000000000000000000000000000000
χ444-44-4-200-2224-44-40000-2-22244-4-40000-2-22200000000000000000000000000000000
χ454-44-4-200-2224-44-40000-2-222-2-222000011-1-1003i−3i3i−3i00000000000000000000000000
χ464-44-4-200-2224-44-40000-2-222-2-222000011-1-100−3i3i−3i3i00000000000000000000000000
χ474-4-44400-44-44-4-4400004-44-4-22-220000-22-2200000000000000000000000000000000
χ484-4-44-2002-224-4-440000-22-224-44-40000-22-2200000000000000000000000000000000
χ494-4-44-2002-224-4-440000-22-22-22-2200001-11-1003i−3i−3i3i00000000000000000000000000
χ504-4-44-2002-224-4-440000-22-22-22-2200001-11-100−3i3i3i−3i00000000000000000000000000
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
χ5566-6-666-6-6-66-2-2226-6-22-222-2000000-22000000000000000000000000000000000000
χ5666-6-66-66-6-66-2-222-662-2-222-20000002-2000000000000000000000000000000000000
χ5766-6-6-36-633-3-2-222-33-221-1-110000001-100000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ5866-6-6-36-633-3-2-222-33-221-1-110000001-100000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ5966-6-6-3-6633-3-2-2223-32-21-1-11000000-1100000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ6066-6-6-3-6633-3-2-2223-32-21-1-11000000-1100000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ616-66-66006-6-6-22-220000-2-22200000000000000000000000000000000002i−2i00−2i2i0000
χ626-66-66006-6-6-22-220000-2-2220000000000000000000000000000000000−2i2i002i−2i0000
χ636-6-66600-66-6-222-20000-22-22000000000000000000000000000000002i−2i00−2i2i000000
χ646-6-66600-66-6-222-20000-22-2200000000000000000000000000000000−2i2i002i−2i000000
χ6512-1212-12-600-666-44-44000022-2-200000000000000000000000000000000000000000000
χ6612-12-1212-6006-66-444-400002-22-200000000000000000000000000000000000000000000

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