Finite Group Databasebeta

← Group #11923008

Character table — Group #11923008

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size123688818181236888181824612161616363624612161616363624612161616363648122432323272724812243232327272
order13263332426266662441241212121244824824242424888248242424248826266662441241212121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ32222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100
χ42-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200
χ733-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1
χ833-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11
χ96-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000
χ10111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ122222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100
χ132-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ152-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200
χ1633-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11
χ1733-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1
χ186-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-100000
χ19111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111
χ212222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-2111002222-1-1-100-2-2-2-211100
χ222-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-211002-12-12-1-100-21-21-21100
χ232-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-2100
χ242-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-2002-12-1-1-1200-21-2111-200
χ2533-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-1133-1-10001-1-3-311000-11
χ2633-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-133-1-1000-11-3-3110001-1
χ276-3-21000006-3-21000006-3-2100000-632-100000-632-1000006-3-2100000-632-100000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ302222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-2111002222-1-1-100
χ312-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-211002-12-12-1-100
χ322-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100
χ332-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-2002-12-1-1-1200
χ3433-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-1133-1-10001-1
χ3533-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-133-1-1000-11
χ366-3-21000006-3-21000006-3-2100000-632-100000-632-100000-632-1000006-3-2100000
χ37222222222222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ382222222-2-22222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ394444-2-2-2004444-2-2-200-4-4-4-422200000000000000000000000000000000000000
χ404-24-24-2-2004-24-24-2-200-42-42-42200000000000000000000000000000000000000
χ414-24-2-24-2004-24-2-24-200-42-422-4200000000000000000000000000000000000000
χ424-24-2-2-24004-24-2-2-2400-42-4222-400000000000000000000000000000000000000
χ4366-2-20002-266-2-20002-2-6-622000-22000000000000000000000000000000000000
χ4466-2-2000-2266-2-2000-22-6-6220002-2000000000000000000000000000000000000
χ4512-6-420000012-6-4200000-1264-200000000000000000000000000000000000000000
χ46222222222-2-2-2-2-2-2-2-2-2000000000i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000000
χ472222222-2-2-2-2-2-2-2-2-222000000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2000000000000000000
χ484444-2-2-200-4-4-4-4222000000000002i22i22i22i2−i2−i2−i200−2i2−2i2−2i2−2i2i2i2i200000000000000000000
χ494-24-24-2-200-42-42-422000000000002i2−i22i2−i22i2−i2−i200−2i2i2−2i2i2−2i2i2i200000000000000000000
χ504-24-2-24-200-42-422-42000000000002i2−i22i2−i2−i22i2−i200−2i2i2−2i2i2i2−2i2i200000000000000000000
χ514-24-2-2-2400-42-4222-4000000000002i2−i22i2−i2−i2−i22i200−2i2i2−2i2i2i2i2−2i200000000000000000000
χ5266-2-20002-2-6-622000-220000000003i23i2−i2−i2000i2−i2−3i2−3i2i2i2000−i2i2000000000000000000
χ5366-2-2000-22-6-6220002-20000000003i23i2−i2−i2000−i2i2−3i2−3i2i2i2000i2−i2000000000000000000
χ5412-6-4200000-1264-2000000000000006i2−3i2−2i2i200000−6i23i22i2−i200000000000000000000000
χ55222222222-2-2-2-2-2-2-2-2-2000000000−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2000000000000000000
χ562222222-2-2-2-2-2-2-2-2-222000000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2−i2−i2000000000000000000
χ574444-2-2-200-4-4-4-422200000000000−2i2−2i2−2i2−2i2i2i2i2002i22i22i22i2−i2−i2−i200000000000000000000
χ584-24-24-2-200-42-42-42200000000000−2i2i2−2i2i2−2i2i2i2002i2−i22i2−i22i2−i2−i200000000000000000000
χ594-24-2-24-200-42-422-4200000000000−2i2i2−2i2i2i2−2i2i2002i2−i22i2−i2−i22i2−i200000000000000000000
χ604-24-2-2-2400-42-4222-400000000000−2i2i2−2i2i2i2i2−2i2002i2−i22i2−i2−i2−i22i200000000000000000000
χ6166-2-20002-2-6-622000-22000000000−3i2−3i2i2i2000−i2i23i23i2−i2−i2000i2−i2000000000000000000
χ6266-2-2000-22-6-6220002-2000000000−3i2−3i2i2i2000i2−i23i23i2−i2−i2000−i2i2000000000000000000
χ6312-6-4200000-1264-200000000000000−6i23i22i2−i2000006i2−3i2−2i2i200000000000000000000000

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