Finite Group Databasebeta

← Group #72261057

Character table — Group #72261057

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1123344681212121212121212121224242424242424242424244848484848484848484848484848969696969696969696969696969696969696192192192192192192192192192192192192192192192192384384384384384384512512512512512512512512
order122224424222222444422222444444222222444444442244444444444444444444444488888888448888366612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111-1-11-1-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1111-111-11-111-1-1-11111-1-1-1-111-1-111-1-11-111-1-11111-1-1-1-1
χ411111-1-11-1-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1111-1-1111-1-1-1-1-1-1-11111-1-111-1-111-11-1-1111111-1-1-1-1
χ5222222222222222222222222222222222222222222220000220022200222220000000000000000000000-1-1-1-1-1-1-1-1
χ622222-2-22-2-2-22222222222-222222222-2-2-2-2-2-2-2-2-2-222-2-20000220022-20022-2-2-20000000000000000000000-1-1-1-11111
χ73333333333333-1-133333-13-1-1-133-1-1-1333-1-1-13-1-1-1-1-1-1-11111-1-1113-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-11-100000000
χ83333333333333-1-133333-13-1-1-133-1-1-1333-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1100000000
χ933333333333-1-1333333-133-1-1-1-1-133-1-1-1-1333-13-1-1-1-1-1-11111-1-111-13-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-1100000000
χ1033333333333-1-1333333-133-1-1-1-1-133-1-1-1-1333-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111-11-100000000
χ1133333333333-1-1-1-13333-1-13333-1-1-1-13-1-1-1-1-1-1-1-133-1-1-1-11111-1311-1-1311-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-100000000
χ1233333333333-1-1-1-13333-1-13333-1-1-1-13-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111100000000
χ13333333333-1-13333-1-1-1-133-1-1-13-1-1-1-13-1-1-1-1-1-1333-133-1-11111-1-111-1-1-111-1-13-1-111111111-1-1-1-11111-1-1-1-1-1-100000000
χ14333333333-1-13333-1-1-1-133-1-1-13-1-1-1-13-1-1-1-1-1-1333-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111100000000
χ15333333333-1-133-1-1-1-1-1-13-1-133-1-1-133-1-1-1-13-1-13-1-13-1-1-1-11111-1-111-1-1-1113-1-13-111-1-111-1-1-1-1-1-1-1-1-1-111-11-1100000000
χ16333333333-1-133-1-1-1-1-1-13-1-133-1-1-133-1-1-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-13-1-1-111-1-11111111111-1-11-11-100000000
χ17333333333-1-1-1-133-1-1-1-1-13-133-133-1-1-13-1-1-1-1-1-13-13-1-1-1-11111-1-111-1-1-111-13-1-13-1-111-1-111-1-1-1-1-1-1-1-1111-11-100000000
χ18333333333-1-1-1-133-1-1-1-1-13-133-133-1-1-13-1-1-1-1-1-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1311-1-111-1-111111111-1-1-11-1100000000
χ19333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333-1-13-1-1-1-13-1-1-13311113-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111100000000
χ20333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333-1-13-1-1-1-13-1-1-133-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-100000000
χ2133333-3-33-3113333-1-1-1-1331-1-13-1-1-1-13111111-3-3-3133111-11-1-1-11-1-1-111-1-1-1-3111111-1-1-1-1-1-11111-1-1-11-1-11100000000
χ2233333-3-33-3113333-1-1-1-1331-1-13-1-1-1-13111111-3-3-313311-11-11-1-1-11-1-11-11-1-1-311-1-1-1-1111111-1-1-1-1111-111-1-100000000
χ2333333-3-33-31133-1-1-1-1-1-13-1133-1-1-133-1111-311-311-3-1-1111-11-1-1-11-1-1-111-13-11-3111-1-1-1-111-1-111-1-1111-1-111-100000000
χ2433333-3-33-31133-1-1-1-1-1-13-1133-1-1-133-1111-311-311-3-1-111-11-11-1-1-11-1-11-113-11-31-1-11111-1-111-1-111-1-1-111-1-1100000000
χ2533333-3-33-311-1-133-1-1-1-1-13133-133-1-1-1-3111111-31-3-1-1111-11-1-1-11-1-1-111-1-1311-3-1-11111-1-1-1-111-1-1111-11-1-1100000000
χ2633333-3-33-311-1-133-1-1-1-1-13133-133-1-1-1-3111111-31-3-1-111-11-11-1-1-11-1-11-11-1311-311-1-1-1-11111-1-111-1-1-11-111-100000000
χ2733333-3-33-311-1-1-1-1-1-1-1-1-1-11-1-1333333-311-31111-31-1-1-3-31-11-13-11-1-1-111-1-1-1111-1-1-1-11111-1-11111-1-1-1111-1-100000000
χ2833333-3-33-311-1-1-1-1-1-1-1-1-1-11-1-1333333-311-31111-31-1-1-3-3-11-113-1-11-1-11-11-1-11111111-1-1-1-111-1-1-1-1111-1-1-11100000000
χ2933333-3-33-3-3-333-1-133333-1-3-1-1-133-1-1-1-3-3-3111-3111-1-1111-11-1-1-11-13-111-1-1-111111-1-1-1-11111-1-1-1-111-111-1-1100000000
χ3033333-3-33-3-3-333-1-133333-1-3-1-1-133-1-1-1-3-3-3111-3111-1-111-11-11-1-1-113-11-11-1-1111-1-11111-1-1-1-11111-1-11-1-111-100000000
χ3133333-3-33-3-3-3-1-1333333-13-3-1-1-1-1-133-1111-3-3-31-311-1-1111-11-1-1-11-1-1311-1-1-1111-1-11111-1-111-1-1-1-111-11-111-100000000
χ3233333-3-33-3-3-3-1-1333333-13-3-1-1-1-1-133-1111-3-3-31-311-1-111-11-11-1-1-11-131-11-1-111111-1-1-1-111-1-11111-1-11-11-1-1100000000
χ3333333-3-33-3-3-3-1-1-1-13333-1-1-3333-1-1-1-1311111111-3-3-1-1111-11-1-131-1-1-1-31-1-1-1111-1-1-1-1111111-1-111-1-11-1-1-11100000000
χ3433333-3-33-3-3-3-1-1-1-13333-1-1-3333-1-1-1-1311111111-3-3-1-111-11-11-13-11-1-1-3-11-1-11111111-1-1-1-1-1-111-1-111-1111-1-100000000
χ3544-44444-4-4-4-40000-4-44400400000000000000000000002-2-22002-2000-2200000000000002-22-200000000001-1-1111-1-1
χ3644-44444-4-4-4-40000-4-4440040000000000000000000000-222-200-220002-20000000000000-22-2200000000001-1-1111-1-1
χ3744-444-4-4-44440000-4-44400-4000000000000000000000022-2-20022000-2-200000000000002-2-2200000000001-1-11-1-111
χ3844-444-4-4-44440000-4-44400-40000000000000000000000-2-22200-2-2000220000000000000-222-200000000001-1-11-1-111
χ3966666666666-2-2-2-26666-2-26-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200002-200-2-2-20022222000000000000000000000000000000
χ40666666666-2-266-2-2-2-2-2-26-2-2-2-2-2-2-2-2-2-2-2-2-2-2226-2-2-2-2-22200002200-22200-22-2-22000000000000000000000000000000
χ41666666666-2-2-2-266-2-2-2-2-26-2-2-2-2-2-2-2-2-2-222-2-2-2-26-2-2-2-222000022002-22002-2-22-2000000000000000000000000000000
χ42666666666-2-2-2-2-2-2-2-2-2-2-2-2-266-2-2-2-2-2-2-222-222-2-2-26222200002-20022-200-2-22-2-2000000000000000000000000000000
χ43666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-26-2-2-2-26-222-222-2-26-2-2-2-2-20000-2-20022-20022-222000000000000000000000000000000
χ44666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-266-2-2-26-2-2-222-2-2-2-222-2-20000-2200-222002-222-2000000000000000000000000000000
χ45666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-266-2-2226-2-2-2-2-2-222-2-20000-22002-2200-222-22000000000000000000000000000000
χ4666666-6-66-62266-2-2-2-2-2-26-22-2-2-2-2-2-2-2-22222-2-2-6222-2-2-2-200002200-22-200-2222-2000000000000000000000000000000
χ4766666-6-66-622-2-266-2-2-2-2-262-2-2-2-2-2-2-2-22-2-22222-622-2-2-2-2000022002-2-2002-22-22000000000000000000000000000000
χ4866666-6-66-622-2-2-2-2-2-2-2-2-2-2266-2-2-2-2-2-22-2-22-2-2222-622-2-200002-20022200-2-2-222000000000000000000000000000000
χ4966666-6-66-622-2-2-2-2-2-2-2-2-2-22-2-26-2-2-2-262-2-22-2-222-62-2-2220000-2-20022200222-2-2000000000000000000000000000000
χ5066666-6-66-622-2-2-2-2-2-2-2-2-2-22-2-2-266-2-2-2-6222-2-2222222220000-2200-22-2002-2-2-22000000000000000000000000000000
χ5166666-6-66-622-2-2-2-2-2-2-2-2-2-22-2-2-2-2-266-22-2-2-622222222220000-22002-2-200-22-22-2000000000000000000000000000000
χ5266666-6-66-6-6-6-2-2-2-26666-2-2-6-2-2-2-2-2-2-2-2222222222222-2-200002-200-2-220022-2-2-2000000000000000000000000000000
χ5388-88888-8-8-8-80000-8-88800800000000000000000000000000000000000000000000000000000000000000-111-1-1-111
χ5488-888-8-8-88880000-8-88800-800000000000000000000000000000000000000000000000000000000000000-111-111-1-1
χ551212-1212121212-12-1244000044-4-400-400000000000000000000002-2-22002-2000-220000000000000-22-22000000000000000000
χ561212-1212121212-12-1244000044-4-400-40000000000000000000000-222-200-220002-200000000000002-22-2000000000000000000
χ571212-121212-12-12-1212-4-4000044-4-4004000000000000000000000022-2-20022000-2-20000000000000-222-2000000000000000000
χ581212-121212-12-12-1212-4-4000044-4-40040000000000000000000000-2-22200-2-20002200000000000002-2-22000000000000000000
χ591212-12-4-400400044444-44-4-4-404-444-44-4-400000000000000040-4000-40000400000000000000000000000000000000000
χ601212-12-4-400400044444-44-4-4-404-444-44-4-4000000000000000-40400040000-400000000000000000000000000000000000
χ611212-12-4-40040004444-44-44-4-40-444-44-44-40000000000000040-4000-400004000000000000000000000000000000000000
χ621212-12-4-40040004444-44-44-4-40-444-44-44-400000000000000-40400040000-4000000000000000000000000000000000000
χ631212-12-4-400400044-4-44-44-4-440-44-44-4-4440000000000000000000000000000000000004-4000000000000000000000000
χ641212-12-4-400400044-4-44-44-4-440-44-44-4-444000000000000000000000000000000000000-44000000000000000000000000
χ651212-12-4-400400044-4-4-44-44-4404-4-4-444-44000000000000000000000000000000004-40000000000000000000000000000
χ661212-12-4-400400044-4-4-44-44-4404-4-4-444-4400000000000000000000000000000000-440000000000000000000000000000
χ671212-12-4-4004000-4-4444-44-44-40-44-4-444-44000000000000000000000000000000000000004-40000000000000000000000
χ681212-12-4-4004000-4-4444-44-44-40-44-4-444-4400000000000000000000000000000000000000-440000000000000000000000
χ691212-12-4-4004000-4-444-44-444-404-4-44-4-44400000000000000000000000000000000004-400000000000000000000000000
χ701212-12-4-4004000-4-444-44-444-404-4-44-4-4440000000000000000000000000000000000-4400000000000000000000000000
χ711212-12-4-4004000-4-4-4-44-44-44404-44-44-44-400000000000000000000000000000000000000000000004i−4i00000000000000
χ721212-12-4-4004000-4-4-4-44-44-44404-44-44-44-40000000000000000000000000000000000000000000000−4i4i00000000000000
χ731212-12-4-4004000-4-4-4-4-44-44440-4444-44-4-4000000000000000000000000000000000000000000004i−4i0000000000000000
χ741212-12-4-4004000-4-4-4-4-44-44440-4444-44-4-400000000000000000000000000000000000000000000−4i4i0000000000000000
χ7516-16016-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000000001−i3i3-1i−i3−3
χ7616-16016-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000000001i3−i3-1i−i−33
χ7716-16016-1616i−16i00000000000000000000000000000000000000000000000000000000000000000000000000000-2002−2i2i00
χ7816-16016-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000000001−i3i3-1−ii−33
χ7916-16016-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000000001i3−i3-1−ii3−3
χ8016-16016-16−16i16i00000000000000000000000000000000000000000000000000000000000000000000000000000-20022i−2i00
χ81242424-8-800-800000008-8-880000000000000000000000000404000-40000-4000000000000000000000000000000000000
χ82242424-8-800-800000008-8-880000000000000000000000000-40-4000400004000000000000000000000000000000000000
χ83242424-8-800-80000000-888-800000000000000000000000000404000-40000-400000000000000000000000000000000000
χ84242424-8-800-80000000-888-800000000000000000000000000-40-400040000400000000000000000000000000000000000
χ8524-240-8800008-88-88-800000000000000004-404-400004-44-4000000000000000000000000000000000000000000000000
χ8624-240-8800008-88-8-8800000000000000004-40-440000-44-44000000000000000000000000000000000000000000000000
χ8724-240-8800008-8-888-80000000000000000-4404-40000-44-44000000000000000000000000000000000000000000000000
χ8824-240-8800008-8-88-880000000000000000-440-4400004-44-4000000000000000000000000000000000000000000000000
χ8924-240-880000-888-88-80000000000000000-440-4400004-4-44000000000000000000000000000000000000000000000000
χ9024-240-880000-888-8-880000000000000000-4404-40000-444-4000000000000000000000000000000000000000000000000
χ9124-240-880000-88-888-800000000000000004-40-440000-444-4000000000000000000000000000000000000000000000000
χ9224-240-880000-88-88-8800000000000000004-404-400004-4-44000000000000000000000000000000000000000000000000

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