Finite Group Databasebeta

← Group #72220619

Character table — Group #72220619

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size122223666666121212121218182427363636363636363648484848545481108108216122223666666121212121218182427363636363636363648484848545481108108216
order1333323666663666624326666121212123333242612626666266666666666246266661212121266662426126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1111111111111-1-1-1-1-1-111111111111111111111-1111111111111-1-1-1-1-1-1
χ311111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-11
χ411111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-111-111111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-111-1
χ52222222222222222200-1200000000-1-1-1-100200-12222222222222222200-1200000000-1-1-1-100200-1
χ62222222222222222200-1-200000000-1-1-1-100-20012222222222222222200-1-200000000-1-1-1-100-2001
χ7222222-12222-1-1-1-1-1-10020000000002-1-1-1220-1-10222222-12222-1-1-1-1-1-10020000000002-1-1-1220-1-10
χ8222222-12222-1-1-1-1-1-10020000000002-1-1-1-2-20110222222-12222-1-1-1-1-1-10020000000002-1-1-1-2-20110
χ922-1-1-1222-1-1-12-12-1-1-122202-1-1-12-1-1-1-12-1-100000022-1-1-1222-1-1-12-12-1-1-122202-1-1-12-1-1-1-12-1-1000000
χ1022-1-1-1222-1-1-12-12-1-1-1-2-220-2111-2111-12-1-100000022-1-1-1222-1-1-12-12-1-1-1-2-220-2111-2111-12-1-1000000
χ1133333-13-1-1-1-1-13-1-1-1-11-1031111-1-1-1-100001-1-11-1033333-13-1-1-1-1-13-1-1-1-11-1031111-1-1-1-100001-1-11-10
χ1233333-13-1-1-1-1-13-1-1-1-11-10-31111-1-1-1-10000-111-11033333-13-1-1-1-1-13-1-1-1-11-10-31111-1-1-1-10000-111-110
χ1333333-13-1-1-1-1-13-1-1-1-1-1103-1-1-1-111110000-11-1-11033333-13-1-1-1-1-13-1-1-1-1-1103-1-1-1-111110000-11-1-110
χ1433333-13-1-1-1-1-13-1-1-1-1-110-3-1-1-1-1111100001-111-1033333-13-1-1-1-1-13-1-1-1-1-110-3-1-1-1-1111100001-111-10
χ15444444-24444-2-2-2-2-2-200-2000000000-2111000000444444-24444-2-2-2-2-2-200-2000000000-2111000000
χ1644-2-2-2444-2-2-24-24-2-2-200-20000000001-21100000044-2-2-2444-2-2-24-24-2-2-200-20000000001-211000000
χ1744-2-2-24-24-2-2-2-21-2111004000000000-2-21100000044-2-2-24-24-2-2-2-21-2111004000000000-2-211000000
χ1844-2-2-24-24-2-2-2-21-211100-200000000011−1+3i32−1−3i3200000044-2-2-24-24-2-2-2-21-211100-200000000011−1+3i32−1−3i32000000
χ1944-2-2-24-24-2-2-2-21-211100-200000000011−1−3i32−1+3i3200000044-2-2-24-24-2-2-2-21-211100-200000000011−1−3i32−1+3i32000000
χ2066666-2-3-2-2-2-21-3111100000000000000002-20-11066666-2-3-2-2-2-21-3111100000000000000002-20-110
χ2166666-2-3-2-2-2-21-311110000000000000000-2201-1066666-2-3-2-2-2-21-311110000000000000000-2201-10
χ2266-3-3-3-26-2111-2-3-21112-2002-1-1-1-2111000000000066-3-3-3-26-2111-2-3-21112-2002-1-1-1-21110000000000
χ2366-3-3-3-26-2111-2-3-2111-2200-21112-1-1-1000000000066-3-3-3-26-2111-2-3-2111-2200-21112-1-1-10000000000
χ246-36-3-360-36-3-30000002200-12-1-1-12-1-100000000006-36-3-360-36-3-30000002200-12-1-1-12-1-10000000000
χ256-36-3-360-36-3-3000000-2-2001-2111-21100000000006-36-3-360-36-3-3000000-2-2001-2111-2110000000000
χ266-36-3-3-201-21140-24-2-22-200-12-1-11-21100000000006-36-3-3-201-21140-24-2-22-200-12-1-11-2110000000000
χ276-36-3-3-201-21140-24-2-2-22001-211-12-1-100000000006-36-3-3-201-21140-24-2-2-22001-211-12-1-10000000000
χ286-3-36-360-3-36-30000002200-1-12-1-1-12-100000000006-3-36-360-3-36-30000002200-1-12-1-1-12-10000000000
χ296-3-36-360-3-36-3000000-2-20011-2111-2100000000006-3-36-360-3-36-3000000-2-20011-2111-210000000000
χ306-3-36-3-2011-2140-2-24-22-200-1-12-111-2100000000006-3-36-3-2011-2140-2-24-22-200-1-12-111-210000000000
χ316-3-36-3-2011-2140-2-24-2-220011-21-1-12-100000000006-3-36-3-2011-2140-2-24-2-220011-21-1-12-10000000000
χ326-3-3-3660-3-3-360000002200-1-1-12-1-1-1200000000006-3-3-3660-3-3-360000002200-1-1-12-1-1-120000000000
χ336-3-3-3660-3-3-36000000-2-200111-2111-200000000006-3-3-3660-3-3-36000000-2-200111-2111-20000000000
χ346-3-3-36-20111-240-2-2-242-200-1-1-12111-200000000006-3-3-36-20111-240-2-2-242-200-1-1-12111-20000000000
χ356-3-3-36-20111-240-2-2-24-2200111-2-1-1-1200000000006-3-3-36-20111-240-2-2-24-2200111-2-1-1-120000000000
χ361212-6-6-6-4-6-4222232-1-1-100000000000000000000001212-6-6-6-4-6-4222232-1-1-10000000000000000000000
χ3712-612-6-6-402-422-402-422000000000000000000000012-612-6-6-402-422-402-4220000000000000000000000
χ3812-6-612-6-4022-42-4022-42000000000000000000000012-6-612-6-4022-42-4022-420000000000000000000000
χ3912-6-6-612-40222-4-40222-4000000000000000000000012-6-6-612-40222-4-40222-40000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4211111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-111-1
χ4311111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-11-1-11
χ442222222222222222200-1200000000-1-1-1-100200-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2001-200000000111100-2001
χ452222222222222222200-1-200000000-1-1-1-100-2001-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2001200000000111100200-1
χ46222222-12222-1-1-1-1-1-10020000000002-1-1-1220-1-10-2-2-2-2-2-21-2-2-2-211111100-2000000000-2111-2-20110
χ47222222-12222-1-1-1-1-1-10020000000002-1-1-1-2-20110-2-2-2-2-2-21-2-2-2-211111100-2000000000-2111220-1-10
χ4822-1-1-1222-1-1-12-12-1-1-122202-1-1-12-1-1-1-12-1-1000000-2-2111-2-2-2111-21-2111-2-2-20-2111-21111-211000000
χ4922-1-1-1222-1-1-12-12-1-1-1-2-220-2111-2111-12-1-1000000-2-2111-2-2-2111-21-211122-202-1-1-12-1-1-11-211000000
χ5033333-13-1-1-1-1-13-1-1-1-11-1031111-1-1-1-100001-1-11-10-3-3-3-3-31-311111-31111-110-3-1-1-1-111110000-111-110
χ5133333-13-1-1-1-1-13-1-1-1-11-10-31111-1-1-1-10000-111-110-3-3-3-3-31-311111-31111-1103-1-1-1-1111100001-1-11-10
χ5233333-13-1-1-1-1-13-1-1-1-1-1103-1-1-1-111110000-11-1-110-3-3-3-3-31-311111-311111-10-31111-1-1-1-100001-111-10
χ5333333-13-1-1-1-1-13-1-1-1-1-110-3-1-1-1-1111100001-111-10-3-3-3-3-31-311111-311111-1031111-1-1-1-10000-11-1-110
χ54444444-24444-2-2-2-2-2-200-2000000000-2111000000-4-4-4-4-4-42-4-4-4-42222220020000000002-1-1-1000000
χ5544-2-2-2444-2-2-24-24-2-2-200-20000000001-211000000-4-4222-4-4-4222-42-4222002000000000-12-1-1000000
χ5644-2-2-24-24-2-2-2-21-2111004000000000-2-211000000-4-4222-42-42222-12-1-1-100-400000000022-1-1000000
χ5744-2-2-24-24-2-2-2-21-211100-200000000011−1+3i32−1−3i32000000-4-4222-42-42222-12-1-1-1002000000000-1-11−3i321+3i32000000
χ5844-2-2-24-24-2-2-2-21-211100-200000000011−1−3i32−1+3i32000000-4-4222-42-42222-12-1-1-1002000000000-1-11+3i321−3i32000000
χ5966666-2-3-2-2-2-21-3111100000000000000002-20-110-6-6-6-6-6232222-13-1-1-1-10000000000000000-2201-10
χ6066666-2-3-2-2-2-21-311110000000000000000-2201-10-6-6-6-6-6232222-13-1-1-1-100000000000000002-20-110
χ6166-3-3-3-26-2111-2-3-21112-2002-1-1-1-21110000000000-6-63332-62-1-1-1232-1-1-1-2200-21112-1-1-10000000000
χ6266-3-3-3-26-2111-2-3-2111-2200-21112-1-1-10000000000-6-63332-62-1-1-1232-1-1-12-2002-1-1-1-21110000000000
χ636-36-3-360-36-3-30000002200-12-1-1-12-1-10000000000-63-633-603-633000000-2-2001-2111-2110000000000
χ646-36-3-360-36-3-3000000-2-2001-2111-2110000000000-63-633-603-6330000002200-12-1-1-12-1-10000000000
χ656-36-3-3-201-21140-24-2-22-200-12-1-11-2110000000000-63-63320-12-1-1-402-422-22001-211-12-1-10000000000
χ666-36-3-3-201-21140-24-2-2-22001-211-12-1-10000000000-63-63320-12-1-1-402-4222-200-12-1-11-2110000000000
χ676-3-36-360-3-36-30000002200-1-12-1-1-12-10000000000-633-63-6033-63000000-2-20011-2111-210000000000
χ686-3-36-360-3-36-3000000-2-20011-2111-210000000000-633-63-6033-630000002200-1-12-1-1-12-10000000000
χ696-3-36-3-2011-2140-2-24-22-200-1-12-111-210000000000-633-6320-1-12-1-4022-42-220011-21-1-12-10000000000
χ706-3-36-3-2011-2140-2-24-2-220011-21-1-12-10000000000-633-6320-1-12-1-4022-422-200-1-12-111-210000000000
χ716-3-3-3660-3-3-360000002200-1-1-12-1-1-120000000000-6333-6-60333-6000000-2-200111-2111-20000000000
χ726-3-3-3660-3-3-36000000-2-200111-2111-20000000000-6333-6-60333-60000002200-1-1-12-1-1-120000000000
χ736-3-3-36-20111-240-2-2-242-200-1-1-12111-20000000000-6333-620-1-1-12-40222-4-2200111-2-1-1-120000000000
χ746-3-3-36-20111-240-2-2-24-2200111-2-1-1-120000000000-6333-620-1-1-12-40222-42-200-1-1-12111-20000000000
χ751212-6-6-6-4-6-4222232-1-1-10000000000000000000000-12-12666464-2-2-2-2-3-21110000000000000000000000
χ7612-612-6-6-402-422-402-4220000000000000000000000-126-126640-24-2-240-24-2-20000000000000000000000
χ7712-6-612-6-4022-42-4022-420000000000000000000000-1266-12640-2-24-240-2-24-20000000000000000000000
χ7812-6-6-612-40222-4-40222-40000000000000000000000-12666-1240-2-2-2440-2-2-240000000000000000000000

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