Finite Group Databasebeta

← Group #11923432

Character table — Group #11923432

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1133666616161616113366661616161622661212121232323232226612121212323232323399181818184848484833991818181848484848
order1222444433662222444466663666121212123366666612121212666644444444121212124444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ311111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ42-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-111
χ52-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32
χ62-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32
χ73333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000
χ833-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-10000
χ933-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-10000
χ1033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-10000
χ1133-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-130000
χ126-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-2200000000
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ1511111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ162-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-111-22-22000011-1-1-22-22000011-1-1
χ172-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32-22-220000−1+i32−1−i321−i321+i32
χ182-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32-22-220000−1−i32−1+i321+i321−i32
χ193333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000-3-3-3-311110000-3-3-3-311110000
χ2033-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-10000-3-311-31110000-3-311-31110000
χ2133-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-10000-3-3111-3110000-3-3111-3110000
χ2233-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-10000-3-31111-310000-3-31111-310000
χ2333-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-130000-3-311111-30000-3-311111-30000
χ246-6-22000000006-6-22000000006-6-22000000006-6-2200000000-662-200000000-662-200000000
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i
χ2611111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiiiζ7ζ11ζ7ζ11−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11
χ2711111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiiiζ11ζ7ζ11ζ7−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7
χ282-22-20000-1-111-22-22000011-1-12-22-20000-1-111-22-22000011-1-12i−2i2i−2i0000−i−iii−2i2i−2i2i0000ii−i−i
χ292-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322i−2i2i−2i0000−ζ7−ζ11ζ7ζ11−2i2i−2i2i0000ζ7ζ11−ζ7−ζ11
χ302-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322i−2i2i−2i0000−ζ11−ζ7ζ11ζ7−2i2i−2i2i0000ζ11ζ7−ζ11−ζ7
χ313333-1-1-1-10000-3-3-3-3111100003333-1-1-1-10000-3-3-3-3111100003i3i3i3i−i−i−i−i0000−3i−3i−3i−3iiiii0000
χ3233-1-13-1-1-10000-3-311-3111000033-1-13-1-1-10000-3-311-311100003i3i−i−i3i−i−i−i0000−3i−3iii−3iiii0000
χ3333-1-1-13-1-10000-3-3111-311000033-1-1-13-1-10000-3-3111-31100003i3i−i−i−i3i−i−i0000−3i−3iiii−3iii0000
χ3433-1-1-1-13-10000-3-31111-31000033-1-1-1-13-10000-3-31111-3100003i3i−i−i−i−i3i−i0000−3i−3iiiii−3ii0000
χ3533-1-1-1-1-130000-3-311111-3000033-1-1-1-1-130000-3-311111-300003i3i−i−i−i−i−i3i0000−3i−3iiiiii−3i0000
χ366-6-2200000000-662-2000000006-6-2200000000-662-2000000006i−6i−2i2i00000000−6i6i2i−2i00000000
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii
χ3811111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11iiiiiiiiζ7ζ11ζ7ζ11
χ3911111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7iiiiiiiiζ11ζ7ζ11ζ7
χ402-22-20000-1-111-22-22000011-1-12-22-20000-1-111-22-22000011-1-1−2i2i−2i2i0000ii−i−i2i−2i2i−2i0000−i−iii
χ412-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32−2i2i−2i2i0000ζ7ζ11−ζ7−ζ112i−2i2i−2i0000−ζ7−ζ11ζ7ζ11
χ422-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32−2i2i−2i2i0000ζ11ζ7−ζ11−ζ72i−2i2i−2i0000−ζ11−ζ7ζ11ζ7
χ433333-1-1-1-10000-3-3-3-3111100003333-1-1-1-10000-3-3-3-311110000−3i−3i−3i−3iiiii00003i3i3i3i−i−i−i−i0000
χ4433-1-13-1-1-10000-3-311-3111000033-1-13-1-1-10000-3-311-31110000−3i−3iii−3iiii00003i3i−i−i3i−i−i−i0000
χ4533-1-1-13-1-10000-3-3111-311000033-1-1-13-1-10000-3-3111-3110000−3i−3iiii−3iii00003i3i−i−i−i3i−i−i0000
χ4633-1-1-1-13-10000-3-31111-31000033-1-1-1-13-10000-3-31111-310000−3i−3iiiii−3ii00003i3i−i−i−i−i3i−i0000
χ4733-1-1-1-1-130000-3-311111-3000033-1-1-1-1-130000-3-311111-30000−3i−3iiiiii−3i00003i3i−i−i−i−i−i3i0000
χ486-6-2200000000-662-2000000006-6-2200000000-662-200000000−6i6i2i−2i000000006i−6i−2i2i00000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222−1+i3−1−i3−1+i3−1−i322222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32000000000000000000000000
χ5122222222−1−i3−1+i3−1−i3−1+i322222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32000000000000000000000000
χ524-44-40000-2-2224-44-40000-2-222-22-22000011-1-1-22-22000011-1-1000000000000000000000000
χ534-44-400001−i31+i3−1+i3−1−i34-44-400001−i31+i3−1+i3−1−i3-22-220000−1+i32−1−i321−i321+i32-22-220000−1+i32−1−i321−i321+i32000000000000000000000000
χ544-44-400001+i31−i3−1−i3−1+i34-44-400001+i31−i3−1−i3−1+i3-22-220000−1−i32−1+i321+i321−i32-22-220000−1−i32−1+i321+i321−i32000000000000000000000000
χ556666-2-2-2-200006666-2-2-2-20000-3-3-3-311110000-3-3-3-311110000000000000000000000000000
χ5666-2-26-2-2-2000066-2-26-2-2-20000-3-311-31110000-3-311-31110000000000000000000000000000
χ5766-2-2-26-2-2000066-2-2-26-2-20000-3-3111-3110000-3-3111-3110000000000000000000000000000
χ5866-2-2-2-26-2000066-2-2-2-26-20000-3-31111-310000-3-31111-310000000000000000000000000000
χ5966-2-2-2-2-26000066-2-2-2-2-260000-3-311111-30000-3-311111-30000000000000000000000000000
χ6012-12-440000000012-12-4400000000-662-200000000-662-200000000000000000000000000000000
χ61222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ6222222222−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-2-2-21−i31+i31−i31+i3-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i32000000000000000000000000
χ6322222222−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-2-2-21+i31−i31+i31−i3-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i32000000000000000000000000
χ644-44-40000-2-222-44-44000022-2-2-22-22000011-1-12-22-20000-1-111000000000000000000000000
χ654-44-400001−i31+i3−1+i3−1−i3-44-440000−1+i3−1−i31−i31+i3-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i32000000000000000000000000
χ664-44-400001+i31−i3−1−i3−1+i3-44-440000−1−i3−1+i31+i31−i3-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i32000000000000000000000000
χ676666-2-2-2-20000-6-6-6-622220000-3-3-3-3111100003333-1-1-1-10000000000000000000000000000
χ6866-2-26-2-2-20000-6-622-62220000-3-311-3111000033-1-13-1-1-10000000000000000000000000000
χ6966-2-2-26-2-20000-6-6222-6220000-3-3111-311000033-1-1-13-1-10000000000000000000000000000
χ7066-2-2-2-26-20000-6-62222-620000-3-31111-31000033-1-1-1-13-10000000000000000000000000000
χ7166-2-2-2-2-260000-6-622222-60000-3-311111-3000033-1-1-1-1-130000000000000000000000000000
χ7212-12-4400000000-12124-400000000-662-2000000006-6-2200000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.