Finite Group Databasebeta

← Group #11921948

Character table — Group #11921948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222333344666666888812121212161616161616161616162424242424242424242424243636363636363636363648484848
order12223446662222121244666636662412123666121212121212444412121212121212122444444444661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111
χ311111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ511111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11-11-1-1-11111-1-1111-1-1-1-1-11111-1-1
χ611111-1-11111111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-11-1111-1-1-1-1111-1-1-11111-1-111-1-1
χ711111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-111111-1-1-1-111
χ811111-1-11111111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-11-1111-1-1-1-111-1111-1-1-1-111-1-111
χ92222222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002002000000-1-1-1-1
χ102222222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-200-20000001111
χ1122222-2-22222222-2-2-2-22222-1-1-1-12-2-2-2-1-1-1-1111111000000000000200-2000000-1-111
χ1222222-2-22222222-2-2-2-22222-1-1-1-1-22-2-2-1-1-1-1111111000000000000-200200000011-1-1
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
χ152222-1-2-2-1-1-1222211-2-2-1-1-1-122220011-1-1-1-1-2-211112-22-211-1-1-1-11100000000000000
χ162222-1-2-2-1-1-1222211-2-2-1-1-1-122220011-1-1-1-1-2-21111-22-22-1-11111-1-100000000000000
χ1722-2-2200-2-2222-2-200002-22-22-22-200002-2-2200000000000000000000002i−2i2i−2i000000
χ1822-2-2200-2-2222-2-200002-22-22-22-200002-2-220000000000000000000000−2i2i−2i2i000000
χ192-22-222i−2i-22-22-2-222i−2i2i−2i2-2-2222-2-2002i−2i22-2-22i−2i2i2i−2i−2i00000000000000000000000000
χ202-22-222i−2i-22-22-2-222i−2i2i−2i2-2-22-1-111002i−2i-1-111−ii−i−iii0000000000000000000000−i3i33−3
χ212-22-222i−2i-22-22-2-222i−2i2i−2i2-2-22-1-111002i−2i-1-111−ii−i−iii0000000000000000000000i3−i3−33
χ222-22-22−2i2i-22-22-2-22−2i2i−2i2i2-2-2222-2-200−2i2i22-2-2−2i2i−2i−2i2i2i00000000000000000000000000
χ232-22-22−2i2i-22-22-2-22−2i2i−2i2i2-2-22-1-11100−2i2i-1-111i−iii−i−i0000000000000000000000−i3i3−33
χ242-22-22−2i2i-22-22-2-22−2i2i−2i2i2-2-22-1-11100−2i2i-1-111i−iii−i−i0000000000000000000000i3−i33−3
χ252-22-2-12i−2i1-112-2-22−ii2i−2i-111-122-2-200−ii-1-1112i−2i−i−iii0000−i3i33−33−3−i3i300000000000000
χ262-22-2-12i−2i1-112-2-22−ii2i−2i-111-122-2-200−ii-1-1112i−2i−i−iii0000i3−i3−33−33i3−i300000000000000
χ272-22-2-1−2i2i1-112-2-22i−i−2i2i-111-122-2-200i−i-1-111−2i2iii−i−i0000−i3i3−33−33−i3i300000000000000
χ282-22-2-1−2i2i1-112-2-22i−i−2i2i-111-122-2-200i−i-1-111−2i2iii−i−i0000i3−i33−33−3i3−i300000000000000
χ292-2-222002-2-22-22-2000022-2-22-2-2200002-22-200000000000000000002i−2i000002i−2i0000
χ302-2-222002-2-22-22-2000022-2-22-2-2200002-22-20000000000000000000−2i2i00000−2i2i0000
χ313333333333-1-1-1-133-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-111-111-1-1-1-10000
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
χ333333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-11-1-11-1-111110000
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
χ3533333-3-3333-1-1-1-1-3-311-1-1-1-100003-31100000000001-1-11-1-111-1-111-1111-1-111-1-10000
χ3633333-3-3333-1-1-1-1-3-311-1-1-1-100003-3110000000000-111-111-1-111-1-1-1-1-1111-1-1110000
χ3733333-3-3333-1-1-1-1-3-311-1-1-1-10000-331100000000001-1-11-1-111-1-1111-1-1-111-1-1110000
χ3833333-3-3333-1-1-1-1-3-311-1-1-1-10000-33110000000000-111-111-1-111-1-1111-1-1-111-1-10000
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
χ4144-4-4400-4-4444-4-400004-44-4-22-220000-222-200000000000000000000000000000000
χ4244-4-4-20022-244-4-40000-22-224-44-40000-222-200000000000000000000000000000000
χ4344-4-4-20022-244-4-40000-22-22-22-2200001-1-11003-33-300000000000000000000000000
χ4444-4-4-20022-244-4-40000-22-22-22-2200001-1-1100-33-3300000000000000000000000000
χ454-44-4-24i−4i2-224-4-44−2i2i4i−4i-222-2-2-22200−2i2i11-1-1−2i2iii−i−i00000000000000000000000000
χ464-44-4-2−4i4i2-224-4-442i−2i−4i4i-222-2-2-222002i−2i11-1-12i−2i−i−iii00000000000000000000000000
χ474-4-444004-4-44-44-4000044-4-4-222-20000-22-2200000000000000000000000000000000
χ484-4-44-200-2224-44-40000-2-2224-4-440000-22-2200000000000000000000000000000000
χ494-4-44-200-2224-44-40000-2-222-222-200001-11-1003i−3i−3i3i00000000000000000000000000
χ504-4-44-200-2224-44-40000-2-222-222-200001-11-100−3i3i3i−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
χ536666-3-6-6-3-3-3-2-2-2-233221111000000-1-100000000002-2-2211-1-111-1-100000000000000
χ546666-3-6-6-3-3-3-2-2-2-233221111000000-1-10000000000-222-2-1-111-1-11100000000000000
χ5566-6-6600-6-66-2-2220000-22-2200000000000000000000000000000000002i−2i−2i2i000000
χ5666-6-6600-6-66-2-2220000-22-220000000000000000000000000000000000−2i2i2i−2i000000
χ576-66-666i−6i-66-6-222-26i−6i−2i2i-222-2000000−2i2i000000000000000000000000000000000000
χ586-66-66−6i6i-66-6-222-2−6i6i2i−2i-222-20000002i−2i000000000000000000000000000000000000
χ596-66-6-36i−6i3-33-222-2−3i3i−2i2i1-1-11000000i−i00000000000000−i3i33−3−33i3−i300000000000000
χ606-66-6-36i−6i3-33-222-2−3i3i−2i2i1-1-11000000i−i00000000000000i3−i3−333−3−i3i300000000000000
χ616-66-6-3−6i6i3-33-222-23i−3i2i−2i1-1-11000000−ii00000000000000−i3i3−333−3i3−i300000000000000
χ626-66-6-3−6i6i3-33-222-23i−3i2i−2i1-1-11000000−ii00000000000000i3−i33−3−33−i3i300000000000000
χ636-6-666006-6-6-22-220000-2-22200000000000000000000000000000002i−2i00000−2i2i0000
χ646-6-666006-6-6-22-220000-2-2220000000000000000000000000000000−2i2i000002i−2i0000
χ651212-12-12-60066-6-4-44400002-22-200000000000000000000000000000000000000000000
χ6612-12-1212-600-666-44-44000022-2-200000000000000000000000000000000000000000000

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