Finite Group Databasebeta

← Group #14518337

Character table — Group #14518337

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size122466666612121218272736363636545454545454545481162122466666612121218272736363636545454545454545481162
order1333999999999322999966181818181818262666181818181818181818622181818186618181818181826
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
χ92222-1-1-1222-1-1-1220-12-1-120-1-1-1000002222-1-1-1222-1-1-1220-12-1-120-1-1-100000
χ102222-1-1-1222-1-1-12-20-12-1-1-20111000002222-1-1-1222-1-1-12-20-12-1-1-2011100000
χ114444444-2-2-2-2-2-2-200-211100000000004444444-2-2-2-2-2-2-200-21110000000000
χ124444-2-2-2444-2-2-2-2001-21100000000004444-2-2-2444-2-2-2-2001-2110000000000
χ134444-2-2-2-2-2-2111400-2-21100000000004444-2-2-2-2-2-2111400-2-2110000000000
χ144444-2-2-2-2-2-2111-20011−1+3i32−1−3i3200000000004444-2-2-2-2-2-2111-20011−1+3i32−1−3i320000000000
χ154444-2-2-2-2-2-2111-20011−1−3i32−1+3i3200000000004444-2-2-2-2-2-2111-20011−1−3i32−1+3i320000000000
χ1666-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ50066-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500
χ1766-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ50066-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500
χ1866-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ80066-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800
χ1966-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ80066-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800
χ2066-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ70066-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700
χ2166-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ70066-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700
χ226-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000200000-10ζ+ζ8ζ2+ζ7ζ4+ζ5000006-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000200000-10ζ+ζ8ζ2+ζ7ζ4+ζ500000
χ236-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000-20000010−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000006-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000-20000010−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000
χ246-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000200000-10ζ2+ζ7ζ4+ζ5ζ+ζ8000006-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000200000-10ζ2+ζ7ζ4+ζ5ζ+ζ800000
χ256-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000-20000010−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000006-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000-20000010−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000
χ266-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000200000-10ζ4+ζ5ζ+ζ8ζ2+ζ7000006-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000200000-10ζ4+ζ5ζ+ζ8ζ2+ζ700000
χ276-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000-20000010−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000006-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000-20000010−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000
χ2812-6-630000006-3-30000000000000000012-6-630000006-3-300000000000000000
χ2912-6-63000000-36-30000000000000000012-6-63000000-36-300000000000000000
χ3012-6-63000000-3-360000000000000000012-6-63000000-3-3600000000000000000
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
χ392222-1-1-1222-1-1-1220-12-1-120-1-1-100000-2-2-2-2111-2-2-2111-2-201-211-2011100000
χ402222-1-1-1222-1-1-12-20-12-1-1-2011100000-2-2-2-2111-2-2-2111-2201-21120-1-1-100000
χ414444444-2-2-2-2-2-2-200-21110000000000-4-4-4-4-4-4-42222222002-1-1-10000000000
χ424444-2-2-2444-2-2-2-2001-2110000000000-4-4-4-4222-4-4-4222200-12-1-10000000000
χ434444-2-2-2-2-2-2111400-2-2110000000000-4-4-4-4222222-1-1-1-40022-1-10000000000
χ444444-2-2-2-2-2-2111-20011−1+3i32−1−3i320000000000-4-4-4-4222222-1-1-1200-1-11−3i321+3i320000000000
χ454444-2-2-2-2-2-2111-20011−1−3i32−1+3i320000000000-4-4-4-4222222-1-1-1200-1-11+3i321−3i320000000000
χ4666-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500-6-633000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ500000-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500
χ4766-3-30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000-2000001000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500-6-633000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ500000200000-1000ζ+ζ8ζ2+ζ7ζ4+ζ500
χ4866-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800-6-633000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ800000-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800
χ4966-3-30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000-2000001000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800-6-633000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ800000200000-1000ζ2+ζ7ζ4+ζ5ζ+ζ800
χ5066-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700-6-633000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ700000-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700
χ5166-3-30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000-2000001000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700-6-633000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ700000200000-1000ζ4+ζ5ζ+ζ8ζ2+ζ700
χ526-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000200000-10ζ+ζ8ζ2+ζ7ζ4+ζ500000-63-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ50000000-20000010−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000
χ536-36-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000-20000010−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000-63-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ50000000200000-10ζ+ζ8ζ2+ζ7ζ4+ζ500000
χ546-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000200000-10ζ2+ζ7ζ4+ζ5ζ+ζ800000-63-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ80000000-20000010−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000
χ556-36-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000-20000010−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000-63-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ80000000200000-10ζ2+ζ7ζ4+ζ5ζ+ζ800000
χ566-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000200000-10ζ4+ζ5ζ+ζ8ζ2+ζ700000-63-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ70000000-20000010−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000
χ576-36-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000-20000010−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000-63-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ70000000200000-10ζ4+ζ5ζ+ζ8ζ2+ζ700000
χ5812-6-630000006-3-300000000000000000-1266-3000000-63300000000000000000
χ5912-6-63000000-36-300000000000000000-1266-30000003-6300000000000000000
χ6012-6-63000000-3-3600000000000000000-1266-300000033-600000000000000000

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