Finite Group Databasebeta

← Group #11724200

Character table — Group #11724200

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1236888181812368881818246121616163636246121616163636369182424245454369182424245454
order132633324262666624336633361266666666124124121212124441241212121244
χ1111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ32222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100
χ42-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200
χ733-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1
χ833-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11
χ96-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000
χ10111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ122222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100
χ132-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ152-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200
χ1633-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11
χ1733-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1
χ186-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-100000
χ19111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−i
χ201111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iii
χ212222-1-1-100-2-2-2-2111002222-1-1-100-2-2-2-2111002i2i2i2i−i−i−i00−2i−2i−2i−2iiii00
χ222-12-12-1-100-21-21-211002-12-12-1-100-21-21-211002i−i2i−i2i−i−i00−2ii−2ii−2iii00
χ232-12-1-12-100-21-211-21002-12-1-12-100-21-211-21002i−i2i−i−i2i−i00−2ii−2iii−2ii00
χ242-12-1-1-1200-21-2111-2002-12-1-1-1200-21-2111-2002i−i2i−i−i−i2i00−2ii−2iiii−2i00
χ2533-1-10001-1-3-311000-1133-1-10001-1-3-311000-113i3i−i−i000i−i−3i−3iii000−ii
χ2633-1-1000-11-3-3110001-133-1-1000-11-3-3110001-13i3i−i−i000−ii−3i−3iii000i−i
χ276-3-2100000-632-1000006-3-2100000-632-1000006i−3i−2ii00000−6i3i2i−i00000
χ28111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii
χ291111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iiiiiiiiii−i−i
χ302222-1-1-100-2-2-2-2111002222-1-1-100-2-2-2-211100−2i−2i−2i−2iiii002i2i2i2i−i−i−i00
χ312-12-12-1-100-21-21-211002-12-12-1-100-21-21-21100−2ii−2ii−2iii002i−i2i−i2i−i−i00
χ322-12-1-12-100-21-211-21002-12-1-12-100-21-211-2100−2ii−2iii−2ii002i−i2i−i−i2i−i00
χ332-12-1-1-1200-21-2111-2002-12-1-1-1200-21-2111-200−2ii−2iiii−2i002i−i2i−i−i−i2i00
χ3433-1-10001-1-3-311000-1133-1-10001-1-3-311000-11−3i−3iii000−ii3i3i−i−i000i−i
χ3533-1-1000-11-3-3110001-133-1-1000-11-3-3110001-1−3i−3iii000i−i3i3i−i−i000−ii
χ366-3-2100000-632-1000006-3-2100000-632-100000−6i3i2i−i000006i−3i−2ii00000
χ37222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000000000000
χ394444-2-2-2004444-2-2-200-2-2-2-211100-2-2-2-211100000000000000000000
χ404-24-24-2-2004-24-24-2-200-21-21-21100-21-21-21100000000000000000000
χ414-24-2-24-2004-24-2-24-200-21-211-2100-21-211-2100000000000000000000
χ424-24-2-2-24004-24-2-2-2400-21-2111-200-21-2111-200000000000000000000
χ4366-2-20002-266-2-20002-2-3-311000-11-3-311000-11000000000000000000
χ4466-2-2000-2266-2-2000-22-3-3110001-1-3-3110001-1000000000000000000
χ4512-6-420000012-6-4200000-632-100000-632-100000000000000000000000
χ46222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111000000000000000000
χ472222222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111111-1-1000000000000000000
χ484444-2-2-200-4-4-4-422200-2-2-2-2111002222-1-1-100000000000000000000
χ494-24-24-2-200-42-42-42200-21-21-211002-12-12-1-100000000000000000000
χ504-24-2-24-200-42-422-4200-21-211-21002-12-1-12-100000000000000000000
χ514-24-2-2-2400-42-4222-400-21-2111-2002-12-1-1-1200000000000000000000
χ5266-2-20002-2-6-622000-22-3-311000-1133-1-10001-1000000000000000000
χ5366-2-2000-22-6-6220002-2-3-3110001-133-1-1000-11000000000000000000
χ5412-6-4200000-1264-200000-632-1000006-3-2100000000000000000000000

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