Finite Group Databasebeta

← Group #14518342

Character table — Group #14518342

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size122466666612121218272736363636545454545454545481162122466666612121218272736363636545454545454545481162
order133333399999932239996666618181826266666618181818181862261818186666618181826
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-111111-1111-1-1-1-1-1111111111111111-111111-1111-1-1-1-1-1
χ311111111111111-111111-11-1-1-1111-1-111111111111111-111111-11-1-1-1111-1-1
χ411111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111
χ52222222222222-100-1-1-1-1000000002-12222222222222-100-1-1-1-1000000002-1
χ62222222222222-100-1-1-1-100000000-212222222222222-100-1-1-1-100000000-21
χ72222222-1-1-1-1-1-12022-1-1-102000-1-1-1002222222-1-1-1-1-1-12022-1-1-102000-1-1-100
χ82222222-1-1-1-1-1-120-22-1-1-10-2000111002222222-1-1-1-1-1-120-22-1-1-10-200011100
χ92-12-12-1-1222-1-1-1220-12-1-1-102-1-1000002-12-12-1-1222-1-1-1220-12-1-1-102-1-100000
χ102-12-12-1-1222-1-1-12-20-12-1-110-211000002-12-12-1-1222-1-1-12-20-12-1-110-21100000
χ114444444-2-2-2-2-2-2-200-211100000000004444444-2-2-2-2-2-2-200-21110000000000
χ124-24-24-2-2444-2-2-2-2001-21100000000004-24-24-2-2444-2-2-2-2001-2110000000000
χ134-24-24-2-2-2-2-2111400-2-21100000000004-24-24-2-2-2-2-2111400-2-2110000000000
χ144-24-24-2-2-2-2-2111-20011−1+3i32−1−3i3200000000004-24-24-2-2-2-2-2111-20011−1+3i32−1−3i320000000000
χ154-24-24-2-2-2-2-2111-20011−1−3i32−1+3i3200000000004-24-24-2-2-2-2-2111-20011−1−3i32−1+3i320000000000
χ166666-3-3-3000000020000020-1-1-1000006666-3-3-3000000020000020-1-1-100000
χ176666-3-3-30000000-200000-20111000006666-3-3-30000000-200000-2011100000
χ1866-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ50066-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500
χ1966-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ50066-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500
χ2066-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ70066-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700
χ2166-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ70066-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700
χ2266-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ80066-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800
χ2366-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ80066-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800
χ246-36-3-36-30000000200000-10-12-1000006-36-3-36-30000000200000-10-12-100000
χ256-36-3-36-30000000-200000101-21000006-36-3-36-30000000-200000101-2100000
χ266-36-3-3-360000000200000-10-1-12000006-36-3-3-360000000200000-10-1-1200000
χ276-36-3-3-360000000-2000001011-2000006-36-3-3-360000000-2000001011-200000
χ2812-6-630004ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ50000000000000000012-6-630004ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ500000000000000000
χ2912-6-63000−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ50000000000000000012-6-63000−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ500000000000000000
χ3012-6-63000−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000000000000012-6-63000−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ500000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111111
χ3311111111111111-111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1111-1-1-111
χ3411111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ352222222222222-100-1-1-1-1000000002-1-2-2-2-2-2-2-2-2-2-2-2-2-2100111100000000-21
χ362222222222222-100-1-1-1-100000000-21-2-2-2-2-2-2-2-2-2-2-2-2-21001111000000002-1
χ372222222-1-1-1-1-1-12022-1-1-102000-1-1-100-2-2-2-2-2-2-2111111-20-2-21110-200011100
χ382222222-1-1-1-1-1-120-22-1-1-10-200011100-2-2-2-2-2-2-2111111-202-211102000-1-1-100
χ392-12-12-1-1222-1-1-1220-12-1-1-102-1-100000-21-21-211-2-2-2111-2-201-21110-21100000
χ402-12-12-1-1222-1-1-12-20-12-1-110-21100000-21-21-211-2-2-2111-2201-211-102-1-100000
χ414444444-2-2-2-2-2-2-200-21110000000000-4-4-4-4-4-4-42222222002-1-1-10000000000
χ424-24-24-2-2444-2-2-2-2001-2110000000000-42-42-422-4-4-4222200-12-1-10000000000
χ434-24-24-2-2-2-2-2111400-2-2110000000000-42-42-422222-1-1-1-40022-1-10000000000
χ444-24-24-2-2-2-2-2111-20011−1+3i32−1−3i320000000000-42-42-422222-1-1-1200-1-11−3i321+3i320000000000
χ454-24-24-2-2-2-2-2111-20011−1−3i32−1+3i320000000000-42-42-422222-1-1-1200-1-11+3i321−3i320000000000
χ466666-3-3-3000000020000020-1-1-100000-6-6-6-63330000000-200000-2011100000
χ476666-3-3-30000000-200000-2011100000-6-6-6-6333000000020000020-1-1-100000
χ4866-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500-6-633000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ500-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500
χ4966-3-30002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500-6-633000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ500200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500
χ5066-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700-6-633000ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ500-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700
χ5166-3-3000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700-6-633000ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ500200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700
χ5266-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800-6-633000ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ500-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800
χ5366-3-3000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800-6-633000ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ500200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800
χ546-36-3-36-30000000200000-10-12-100000-63-633-630000000-200000101-2100000
χ556-36-3-36-30000000-200000101-2100000-63-633-630000000200000-10-12-100000
χ566-36-3-3-360000000200000-10-1-1200000-63-6333-60000000-2000001011-200000
χ576-36-3-3-360000000-2000001011-200000-63-6333-60000000200000-10-1-1200000
χ5812-6-630004ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ500000000000000000-1266-3000−4ζ+4ζ2−2ζ4+2ζ52ζ−2ζ2−2ζ4−4ζ52ζ−2ζ2+4ζ4+2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ500000000000000000
χ5912-6-63000−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ500000000000000000-1266-30002ζ−2ζ2−2ζ4−4ζ52ζ−2ζ2+4ζ4+2ζ5−4ζ+4ζ2−2ζ4+2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ500000000000000000
χ6012-6-63000−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ500000000000000000-1266-30002ζ−2ζ2+4ζ4+2ζ5−4ζ+4ζ2−2ζ4+2ζ52ζ−2ζ2−2ζ4−4ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ500000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.