Finite Group Databasebeta

← Group #11922845

Character table — Group #11922845

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size12368881818123688818181236888181812368881818246121616163636246121616163636246121616163636246121616163636246121616163636246121616163636
order13263332426266662426266662426266662426266662426266662441241212121244412412121212444124121212124441241212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ32222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100
χ42-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200
χ733-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1
χ833-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11
χ96-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000
χ10111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ122222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-211100-2-2-2-211100
χ132-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-21100-21-21-21100
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-2100
χ152-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-200-21-2111-200
χ1633-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-11-3-311000-11
χ1733-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-1-3-3110001-1
χ186-3-21000006-3-21000006-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-100000-632-100000-632-100000
χ19111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ212222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-2111002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100
χ222-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-211002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100
χ232-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ242-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-2002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200
χ2533-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-1133-1-10001-133-1-10001-1-3-311000-11-3-311000-11
χ2633-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1
χ276-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-1000006-3-21000006-3-2100000-632-100000-632-100000
χ28111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ291111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1
χ302222-1-1-1002222-1-1-1002222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-211100-2-2-2-2111002222-1-1-1002222-1-1-100
χ312-12-12-1-1002-12-12-1-1002-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-21100-21-21-211002-12-12-1-1002-12-12-1-100
χ322-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100
χ332-12-1-1-12002-12-1-1-12002-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-200-21-2111-2002-12-1-1-12002-12-1-1-1200
χ3433-1-10001-133-1-10001-133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-11-3-311000-1133-1-10001-133-1-10001-1
χ3533-1-1000-1133-1-1000-1133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-1-3-3110001-133-1-1000-1133-1-1000-11
χ366-3-21000006-3-21000006-3-21000006-3-2100000-632-100000-632-100000-632-100000-632-1000006-3-21000006-3-2100000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i
χ381111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−iii
χ392222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-2111002222-1-1-100-2-2-2-2111002i2i2i2i−i−i−i00−2i−2i−2i−2iiii002i2i2i2i−i−i−i00−2i−2i−2i−2iiii00
χ402-12-12-1-1002-12-12-1-100-21-21-21100-21-21-211002-12-12-1-100-21-21-211002i−i2i−i2i−i−i00−2ii−2ii−2iii002i−i2i−i2i−i−i00−2ii−2ii−2iii00
χ412-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-21002i−i2i−i−i2i−i00−2ii−2iii−2ii002i−i2i−i−i2i−i00−2ii−2iii−2ii00
χ422-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-2002-12-1-1-1200-21-2111-2002i−i2i−i−i−i2i00−2ii−2iiii−2i002i−i2i−i−i−i2i00−2ii−2iiii−2i00
χ4333-1-10001-133-1-10001-1-3-311000-11-3-311000-1133-1-10001-1-3-311000-113i3i−i−i000i−i−3i−3iii000−ii3i3i−i−i000i−i−3i−3iii000−ii
χ4433-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-133-1-1000-11-3-3110001-13i3i−i−i000−ii−3i−3iii000i−i3i3i−i−i000−ii−3i−3iii000i−i
χ456-3-21000006-3-2100000-632-100000-632-1000006-3-2100000-632-1000006i−3i−2ii00000−6i3i2i−i000006i−3i−2ii00000−6i3i2i−i00000
χ46111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii
χ471111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i
χ482222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-2111002222-1-1-100-2-2-2-211100−2i−2i−2i−2iiii002i2i2i2i−i−i−i00−2i−2i−2i−2iiii002i2i2i2i−i−i−i00
χ492-12-12-1-1002-12-12-1-100-21-21-21100-21-21-211002-12-12-1-100-21-21-21100−2ii−2ii−2iii002i−i2i−i2i−i−i00−2ii−2ii−2iii002i−i2i−i2i−i−i00
χ502-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-2100−2ii−2iii−2ii002i−i2i−i−i2i−i00−2ii−2iii−2ii002i−i2i−i−i2i−i00
χ512-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-2002-12-1-1-1200-21-2111-200−2ii−2iiii−2i002i−i2i−i−i−i2i00−2ii−2iiii−2i002i−i2i−i−i−i2i00
χ5233-1-10001-133-1-10001-1-3-311000-11-3-311000-1133-1-10001-1-3-311000-11−3i−3iii000−ii3i3i−i−i000i−i−3i−3iii000−ii3i3i−i−i000i−i
χ5333-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-133-1-1000-11-3-3110001-1−3i−3iii000i−i3i3i−i−i000−ii−3i−3iii000i−i3i3i−i−i000−ii
χ546-3-21000006-3-2100000-632-100000-632-1000006-3-2100000-632-100000−6i3i2i−i000006i−3i−2ii00000−6i3i2i−i000006i−3i−2ii00000
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii
χ561111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1iiiiiii−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−iiiiiiiiii−i−i
χ572222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-2111002222-1-1-1002i2i2i2i−i−i−i00−2i−2i−2i−2iiii00−2i−2i−2i−2iiii002i2i2i2i−i−i−i00
χ582-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-211002-12-12-1-1002i−i2i−i2i−i−i00−2ii−2ii−2iii00−2ii−2ii−2iii002i−i2i−i2i−i−i00
χ592-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002i−i2i−i−i2i−i00−2ii−2iii−2ii00−2ii−2iii−2ii002i−i2i−i−i2i−i00
χ602-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-2002-12-1-1-12002i−i2i−i−i−i2i00−2ii−2iiii−2i00−2ii−2iiii−2i002i−i2i−i−i−i2i00
χ6133-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-1133-1-10001-13i3i−i−i000i−i−3i−3iii000−ii−3i−3iii000−ii3i3i−i−i000i−i
χ6233-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-133-1-1000-113i3i−i−i000−ii−3i−3iii000i−i−3i−3iii000i−i3i3i−i−i000−ii
χ636-3-21000006-3-2100000-632-100000-632-100000-632-1000006-3-21000006i−3i−2ii00000−6i3i2i−i00000−6i3i2i−i000006i−3i−2ii00000
χ64111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i
χ651111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1−i−i−i−i−i−i−iiiiiiiiii−i−iiiiiiii−i−i−i−i−i−i−i−i−iii
χ662222-1-1-1002222-1-1-100-2-2-2-211100-2-2-2-211100-2-2-2-2111002222-1-1-100−2i−2i−2i−2iiii002i2i2i2i−i−i−i002i2i2i2i−i−i−i00−2i−2i−2i−2iiii00
χ672-12-12-1-1002-12-12-1-100-21-21-21100-21-21-21100-21-21-211002-12-12-1-100−2ii−2ii−2iii002i−i2i−i2i−i−i002i−i2i−i2i−i−i00−2ii−2ii−2iii00
χ682-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100−2ii−2iii−2ii002i−i2i−i−i2i−i002i−i2i−i−i2i−i00−2ii−2iii−2ii00
χ692-12-1-1-12002-12-1-1-1200-21-2111-200-21-2111-200-21-2111-2002-12-1-1-1200−2ii−2iiii−2i002i−i2i−i−i−i2i002i−i2i−i−i−i2i00−2ii−2iiii−2i00
χ7033-1-10001-133-1-10001-1-3-311000-11-3-311000-11-3-311000-1133-1-10001-1−3i−3iii000−ii3i3i−i−i000i−i3i3i−i−i000i−i−3i−3iii000−ii
χ7133-1-1000-1133-1-1000-11-3-3110001-1-3-3110001-1-3-3110001-133-1-1000-11−3i−3iii000i−i3i3i−i−i000−ii3i3i−i−i000−ii−3i−3iii000i−i
χ726-3-21000006-3-2100000-632-100000-632-100000-632-1000006-3-2100000−6i3i2i−i000006i−3i−2ii000006i−3i−2ii00000−6i3i2i−i00000
χ73222222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000
χ742222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000000000000000
χ754444-2-2-200-4-4-4-4222004444-2-2-200-4-4-4-422200000000000000000000000000000000000000000000000000000000
χ764-24-24-2-200-42-42-422004-24-24-2-200-42-42-42200000000000000000000000000000000000000000000000000000000
χ774-24-2-24-200-42-422-42004-24-2-24-200-42-422-4200000000000000000000000000000000000000000000000000000000
χ784-24-2-2-2400-42-4222-4004-24-2-2-2400-42-4222-400000000000000000000000000000000000000000000000000000000
χ7966-2-20002-2-6-622000-2266-2-20002-2-6-622000-22000000000000000000000000000000000000000000000000000000
χ8066-2-2000-22-6-6220002-266-2-2000-22-6-6220002-2000000000000000000000000000000000000000000000000000000
χ8112-6-4200000-1264-20000012-6-4200000-1264-200000000000000000000000000000000000000000000000000000000000
χ82222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222000000000000000000000000000000000000000000000000000000
χ832222222-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2222222222-2-2000000000000000000000000000000000000000000000000000000
χ844444-2-2-200-4-4-4-422200-4-4-4-4222004444-2-2-200000000000000000000000000000000000000000000000000000000
χ854-24-24-2-200-42-42-42200-42-42-422004-24-24-2-200000000000000000000000000000000000000000000000000000000
χ864-24-2-24-200-42-422-4200-42-422-42004-24-2-24-200000000000000000000000000000000000000000000000000000000
χ874-24-2-2-2400-42-4222-400-42-4222-4004-24-2-2-2400000000000000000000000000000000000000000000000000000000
χ8866-2-20002-2-6-622000-22-6-622000-2266-2-20002-2000000000000000000000000000000000000000000000000000000
χ8966-2-2000-22-6-6220002-2-6-6220002-266-2-2000-22000000000000000000000000000000000000000000000000000000
χ9012-6-4200000-1264-200000-1264-20000012-6-4200000000000000000000000000000000000000000000000000000000000

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