Finite Group Databasebeta

← Group #13180840

Character table — Group #13180840

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size123688818181236888181824612161616363624612161616363624612161616363624612161616363624612161616363661218364848481081086121836484848108108
order132633324262666624262666624336633361266666666126666666612666666661226266662441241212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ32222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100
χ42-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200
χ733-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1
χ833-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11
χ96-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000
χ10111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ122222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100
χ132-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ152-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200
χ1633-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11
χ1733-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1
χ186-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-100000
χ19111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111
χ212222-1-1-1002222-1-1-100-2-2-2-2111002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-2111002222-1-1-100-2-2-2-211100
χ222-12-12-1-1002-12-12-1-100-21-21-211002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-211002-12-12-1-100-21-21-21100
χ232-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-2100
χ242-12-1-1-12002-12-1-1-1200-21-2111-2002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-2002-12-1-1-1200-21-2111-200
χ2533-1-10001-133-1-10001-1-3-311000-1133-1-10001-133-1-10001-1-3-311000-11-3-311000-1133-1-10001-1-3-311000-11
χ2633-1-1000-1133-1-1000-11-3-3110001-133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-133-1-1000-11-3-3110001-1
χ276-3-21000006-3-2100000-632-1000006-3-21000006-3-2100000-632-100000-632-1000006-3-2100000-632-100000
χ28111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ302222-1-1-1002222-1-1-100-2-2-2-2111002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-2111002222-1-1-100
χ312-12-12-1-1002-12-12-1-100-21-21-211002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-211002-12-12-1-100
χ322-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100
χ332-12-1-1-12002-12-1-1-1200-21-2111-2002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-2002-12-1-1-1200
χ3433-1-10001-133-1-10001-1-3-311000-1133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-1133-1-10001-1
χ3533-1-1000-1133-1-1000-11-3-3110001-133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-133-1-1000-11
χ366-3-21000006-3-2100000-632-1000006-3-21000006-3-2100000-632-100000-632-100000-632-1000006-3-2100000
χ37222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222222-2-22222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000000000000
χ394444-2-2-2004444-2-2-2004444-2-2-200-2-2-2-211100-2-2-2-211100-2-2-2-211100-2-2-2-211100000000000000000000
χ404-24-24-2-2004-24-24-2-2004-24-24-2-200-21-21-21100-21-21-21100-21-21-21100-21-21-21100000000000000000000
χ414-24-2-24-2004-24-2-24-2004-24-2-24-200-21-211-2100-21-211-2100-21-211-2100-21-211-2100000000000000000000
χ424-24-2-2-24004-24-2-2-24004-24-2-2-2400-21-2111-200-21-2111-200-21-2111-200-21-2111-200000000000000000000
χ4366-2-20002-266-2-20002-266-2-20002-2-3-311000-11-3-311000-11-3-311000-11-3-311000-11000000000000000000
χ4466-2-2000-2266-2-2000-2266-2-2000-22-3-3110001-1-3-3110001-1-3-3110001-1-3-3110001-1000000000000000000
χ4512-6-420000012-6-420000012-6-4200000-632-100000-632-100000-632-100000-632-100000000000000000000000
χ46222222222222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000
χ472222222-2-22222222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1000000000000000000
χ484444-2-2-2004444-2-2-200-4-4-4-422200-2-2-2-211100-2-2-2-2111002222-1-1-1002222-1-1-100000000000000000000
χ494-24-24-2-2004-24-24-2-200-42-42-42200-21-21-21100-21-21-211002-12-12-1-1002-12-12-1-100000000000000000000
χ504-24-2-24-2004-24-2-24-200-42-422-4200-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100000000000000000000
χ514-24-2-2-24004-24-2-2-2400-42-4222-400-21-2111-200-21-2111-2002-12-1-1-12002-12-1-1-1200000000000000000000
χ5266-2-20002-266-2-20002-2-6-622000-22-3-311000-11-3-311000-1133-1-10001-133-1-10001-1000000000000000000
χ5366-2-2000-2266-2-2000-22-6-6220002-2-3-3110001-1-3-3110001-133-1-1000-1133-1-1000-11000000000000000000
χ5412-6-420000012-6-4200000-1264-200000-632-100000-632-1000006-3-21000006-3-2100000000000000000000000
χ55222222222-2-2-2-2-2-2-2-2-2000000000222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ562222222-2-2-2-2-2-2-2-2-2220000000002222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ574444-2-2-200-4-4-4-4222000000000004444-2-2-200-4-4-4-422200000000000000000000000000000000000000
χ584-24-24-2-200-42-42-422000000000004-24-24-2-200-42-42-42200000000000000000000000000000000000000
χ594-24-2-24-200-42-422-42000000000004-24-2-24-200-42-422-4200000000000000000000000000000000000000
χ604-24-2-2-2400-42-4222-4000000000004-24-2-2-2400-42-4222-400000000000000000000000000000000000000
χ6166-2-20002-2-6-622000-2200000000066-2-20002-2-6-622000-22000000000000000000000000000000000000
χ6266-2-2000-22-6-6220002-200000000066-2-2000-22-6-6220002-2000000000000000000000000000000000000
χ6312-6-4200000-1264-20000000000000012-6-4200000-1264-200000000000000000000000000000000000000000
χ64222222222-2-2-2-2-2-2-2-2-2000000000-1-1-1-1-1-1-1-1-1111111111i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000
χ652222222-2-2-2-2-2-2-2-2-222000000000-1-1-1-1-1-1-1111111111-1-1i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3000000000000000000
χ664444-2-2-200-4-4-4-422200000000000-2-2-2-2111002222-1-1-1002i32i32i32i3−i3−i3−i300−2i3−2i3−2i3−2i3i3i3i300000000000000000000
χ674-24-24-2-200-42-42-42200000000000-21-21-211002-12-12-1-1002i3−i32i3−i32i3−i3−i300−2i3i3−2i3i3−2i3i3i300000000000000000000
χ684-24-2-24-200-42-422-4200000000000-21-211-21002-12-1-12-1002i3−i32i3−i3−i32i3−i300−2i3i3−2i3i3i3−2i3i300000000000000000000
χ694-24-2-2-2400-42-4222-400000000000-21-2111-2002-12-1-1-12002i3−i32i3−i3−i3−i32i300−2i3i3−2i3i3i3i3−2i300000000000000000000
χ7066-2-20002-2-6-622000-22000000000-3-311000-1133-1-10001-13i33i3−i3−i3000i3−i3−3i3−3i3i3i3000−i3i3000000000000000000
χ7166-2-2000-22-6-6220002-2000000000-3-3110001-133-1-1000-113i33i3−i3−i3000−i3i3−3i3−3i3i3i3000i3−i3000000000000000000
χ7212-6-4200000-1264-200000000000000-632-1000006-3-21000006i3−3i3−2i3i300000−6i33i32i3−i300000000000000000000000
χ73222222222-2-2-2-2-2-2-2-2-2000000000-1-1-1-1-1-1-1-1-1111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3000000000000000000
χ742222222-2-2-2-2-2-2-2-2-222000000000-1-1-1-1-1-1-1111111111-1-1−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3−i3−i3000000000000000000
χ754444-2-2-200-4-4-4-422200000000000-2-2-2-2111002222-1-1-100−2i3−2i3−2i3−2i3i3i3i3002i32i32i32i3−i3−i3−i300000000000000000000
χ764-24-24-2-200-42-42-42200000000000-21-21-211002-12-12-1-100−2i3i3−2i3i3−2i3i3i3002i3−i32i3−i32i3−i3−i300000000000000000000
χ774-24-2-24-200-42-422-4200000000000-21-211-21002-12-1-12-100−2i3i3−2i3i3i3−2i3i3002i3−i32i3−i3−i32i3−i300000000000000000000
χ784-24-2-2-2400-42-4222-400000000000-21-2111-2002-12-1-1-1200−2i3i3−2i3i3i3i3−2i3002i3−i32i3−i3−i3−i32i300000000000000000000
χ7966-2-20002-2-6-622000-22000000000-3-311000-1133-1-10001-1−3i3−3i3i3i3000−i3i33i33i3−i3−i3000i3−i3000000000000000000
χ8066-2-2000-22-6-6220002-2000000000-3-3110001-133-1-1000-11−3i3−3i3i3i3000i3−i33i33i3−i3−i3000−i3i3000000000000000000
χ8112-6-4200000-1264-200000000000000-632-1000006-3-2100000−6i33i32i3−i3000006i3−3i3−2i3i300000000000000000000000

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