Finite Group Databasebeta

← Group #72274902

Character table — Group #72274902

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122612121212121212121224242424323236364848484864647272969614411226121212121212121212242424243232363648484848646472729696144
order123622224446121226121236226824243644664226622224446121226121266226824246644664
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-11111-11-1-111-1-1-1-1-1-1111-111-111111111-1-11111-11-1-111-1-1-1-1-1-1111-111-1
χ311111-1-11111111111111-1-1111111-1-1-1-1-111111-1-11111111111111-1-1111111-1-1-1-1-1
χ411111-1-11-1-11111-11-1-11111-1-1-1-111-11-1-1111111-1-11-1-11111-11-1-11111-1-1-1-111-11-1-11
χ5222222220022220200-1-1000000-1-120-1-10222222220022220200-1-1000000-1-120-1-10
χ622222-2-220022220200-1-1000000-1-1-2011022222-2-220022220200-1-1000000-1-1-20110
χ722-1-12002222-1-1-12-1-1-12200-12-1-1-1-10000022-1-12002222-1-1-12-1-1-12200-12-1-1-1-100000
χ822-1-12002-2-22-1-1-1-2-11122001-211-1-10000022-1-12002-2-22-1-1-1-2-11122001-211-1-100000
χ93333333-111-13-1-11-11100111-1-1-100-1100-13333333-111-13-1-11-11100111-1-1-100-1100-1
χ103333333-1-1-1-13-1-1-1-1-1-100-1-1-111100-1-10013333333-1-1-1-13-1-1-1-1-1-100-1-1-111100-1-1001
χ1133333-3-3-111-13-1-11-11100-1-11-1-1-1001-100133333-3-3-111-13-1-11-11100-1-11-1-1-1001-1001
χ1233333-3-3-1-1-1-13-1-1-1-1-1-10011-1111001100-133333-3-3-1-1-1-13-1-1-1-1-1-10011-1111001100-1
χ1344-2-24004004-2-2-20-200-2-2000000110000044-2-24004004-2-2-20-200-2-20000001100000
χ144-44-402-202-20000002-21-12-200001-1001-104-44-402-202-20000002-21-12-200001-1001-10
χ154-44-402-20-22000000-221-1-2200001-1001-104-44-402-20-22000000-221-1-2200001-1001-10
χ164-44-40-2202-20000002-21-1-2200001-100-1104-44-40-2202-20000002-21-1-2200001-100-110
χ174-44-40-220-22000000-221-12-200001-100-1104-44-40-220-22000000-221-12-200001-100-110
χ186666-200200-2-2-2-2020000220000000-20006666-200200-2-2-2-2020000220000000-2000
χ196666-200200-2-2-2-2020000-2-2000000020006666-200200-2-2-2-2020000-2-200000002000
χ206666-200-2222-222-2-2220000-200000000006666-200-2222-222-2-2220000-20000000000
χ216666-200-2-2-22-2222-2-2-20000200000000006666-200-2-2-22-2222-2-2-2000020000000000
χ2266-3-3600-222-2-31121-1-10000-1-211000000066-3-3600-222-2-31121-1-10000-1-2110000000
χ2366-3-3600-2-2-2-2-311-2111000012-1-1000000066-3-3600-2-2-2-2-311-2111000012-1-10000000
χ2466-3-3-200-22221−1+2i3−1−2i3-21-1-1000010i3−i3000000066-3-3-200-22221−1+2i3−1−2i3-21-1-1000010i3−i30000000
χ2566-3-3-200-22221−1−2i3−1+2i3-21-1-1000010−i3i3000000066-3-3-200-22221−1−2i3−1+2i3-21-1-1000010−i3i30000000
χ2666-3-3-200-2-2-221−1+2i3−1−2i321110000-10−i3i3000000066-3-3-200-2-2-221−1+2i3−1−2i321110000-10−i3i30000000
χ2766-3-3-200-2-2-221−1−2i3−1+2i321110000-10i3−i3000000066-3-3-200-2-2-221−1−2i3−1+2i321110000-10i3−i30000000
χ288-88-804-400000000000-11000000-1100-1108-88-804-400000000000-11000000-1100-110
χ298-88-80-4400000000000-11000000-11001-108-88-80-4400000000000-11000000-11001-10
χ308-8-4400004-4000000-222-2000000-11000008-8-4400004-4000000-222-2000000-1100000
χ318-8-440000-440000002-22-2000000-11000008-8-440000-440000002-22-2000000-1100000
χ321212-6-6-400400-42220-2000000000000000001212-6-6-400400-42220-200000000000000000
χ3316-16-8800000000000000-220000001-10000016-16-8800000000000000-220000001-100000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111-1-11111-11-1-111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1111111-1-1-11-1-11
χ3611111-1-11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ3711111-1-11-1-11111-11-1-11111-1-1-1-111-11-1-11-1-1-1-1-111-111-1-1-1-11-111-1-1-1-11111-1-11-111-1
χ38222222220022220200-1-1000000-1-120-1-10-2-2-2-2-2-2-2-200-2-2-2-20-2001100000011-20110
χ3922222-2-220022220200-1-1000000-1-1-20110-2-2-2-2-222-200-2-2-2-20-200110000001120-1-10
χ4022-1-12002222-1-1-12-1-1-12200-12-1-1-1-100000-2-211-200-2-2-2-2111-2111-2-2001-2111100000
χ4122-1-12002-2-22-1-1-1-2-11122001-211-1-100000-2-211-200-222-211121-1-1-2-200-12-1-11100000
χ423333333-111-13-1-11-11100111-1-1-100-1100-1-3-3-3-3-3-3-31-1-11-311-11-1-100-1-1-1111001-1001
χ433333333-1-1-1-13-1-1-1-1-1-100-1-1-111100-1-1001-3-3-3-3-3-3-31111-311111100111-1-1-1001100-1
χ4433333-3-3-111-13-1-11-11100-1-11-1-1-1001-1001-3-3-3-3-3331-1-11-311-11-1-10011-111100-1100-1
χ4533333-3-3-1-1-1-13-1-1-1-1-1-10011-1111001100-1-3-3-3-3-3331111-311111100-1-11-1-1-100-1-1001
χ4644-2-24004004-2-2-20-200-2-20000001100000-4-422-400-400-4222020022000000-1-100000
χ474-44-402-202-20000002-21-12-200001-1001-10-44-440-220-22000000-22-11-220000-1100-110
χ484-44-402-20-22000000-221-1-2200001-1001-10-44-440-2202-20000002-2-112-20000-1100-110
χ494-44-40-2202-20000002-21-1-2200001-100-110-44-4402-20-22000000-22-112-20000-11001-10
χ504-44-40-220-22000000-221-12-200001-100-110-44-4402-202-20000002-2-11-220000-11001-10
χ516666-200200-2-2-2-2020000220000000-2000-6-6-6-6200-20022220-20000-2-200000002000
χ526666-200200-2-2-2-2020000-2-200000002000-6-6-6-6200-20022220-20000220000000-2000
χ536666-200-2222-222-2-2220000-20000000000-6-6-6-62002-2-2-22-2-222-2-2000020000000000
χ546666-200-2-2-22-2222-2-2-2000020000000000-6-6-6-6200222-22-2-2-22220000-20000000000
χ5566-3-3600-222-2-31121-1-10000-1-2110000000-6-633-6002-2-223-1-1-2-111000012-1-10000000
χ5666-3-3600-2-2-2-2-311-2111000012-1-10000000-6-633-60022223-1-12-1-1-10000-1-2110000000
χ5766-3-3-200-22221−1+2i3−1−2i3-21-1-1000010i3−i30000000-6-6332002-2-2-2-11−2i31+2i32-1110000-10−i3i30000000
χ5866-3-3-200-22221−1−2i3−1+2i3-21-1-1000010−i3i30000000-6-6332002-2-2-2-11+2i31−2i32-1110000-10i3−i30000000
χ5966-3-3-200-2-2-221−1+2i3−1−2i321110000-10−i3i30000000-6-633200222-2-11−2i31+2i3-2-1-1-1000010i3−i30000000
χ6066-3-3-200-2-2-221−1−2i3−1+2i321110000-10i3−i30000000-6-633200222-2-11+2i31−2i3-2-1-1-1000010−i3i30000000
χ618-88-804-400000000000-11000000-1100-110-88-880-44000000000001-10000001-1001-10
χ628-88-80-4400000000000-11000000-11001-10-88-8804-4000000000001-10000001-100-110
χ638-8-4400004-4000000-222-2000000-1100000-884-40000-440000002-2-220000001-100000
χ648-8-440000-440000002-22-2000000-1100000-884-400004-4000000-22-220000001-100000
χ651212-6-6-400400-42220-200000000000000000-12-1266400-4004-2-2-20200000000000000000
χ6616-16-8800000000000000-220000001-100000-16168-8000000000000002-2000000-1100000

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