Finite Group Databasebeta

← Group #11923434

Character table — Group #11923434

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11666661616161611666661616161622121212121232323232221212121212323232323318181818184848484833181818181848484848
order122224433662222244666636666121233666666612126666444444412121212444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32
χ31111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32
χ4333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000
χ533-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-10000
χ633-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-10000
χ733-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-10000
χ833-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-130000
χ94-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-1
χ104-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i32
χ114-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i32
χ1211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ131111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32
χ141111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32
χ15333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000-3-3-311110000-3-3-311110000
χ1633-13-1-1-1000033-13-1-1-1000033-13-1-1-1000033-13-1-1-10000-3-31-31110000-3-31-31110000
χ1733-1-13-1-1000033-1-13-1-1000033-1-13-1-1000033-1-13-1-10000-3-311-3110000-3-311-3110000
χ1833-1-1-13-1000033-1-1-13-1000033-1-1-13-1000033-1-1-13-10000-3-3111-310000-3-3111-310000
χ1933-1-1-1-13000033-1-1-1-13000033-1-1-1-13000033-1-1-1-130000-3-31111-30000-3-31111-30000
χ204-40000011-1-14-40000011-1-14-40000011-1-14-40000011-1-1-4400000-1-111-4400000-1-111
χ214-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i32-44000001−i321+i32−1+i32−1−i32
χ224-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i32-44000001+i321−i32−1−i32−1+i32
χ2311111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i
χ241111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiiζ7ζ11ζ7ζ11−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11
χ251111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiiζ11ζ7ζ11ζ7−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7
χ26333-1-1-1-10000-3-3-311110000333-1-1-1-10000-3-3-3111100003i3i3i−i−i−i−i0000−3i−3i−3iiiii0000
χ2733-13-1-1-10000-3-31-3111000033-13-1-1-10000-3-31-311100003i3i−i3i−i−i−i0000−3i−3ii−3iiii0000
χ2833-1-13-1-10000-3-311-311000033-1-13-1-10000-3-311-31100003i3i−i−i3i−i−i0000−3i−3iii−3iii0000
χ2933-1-1-13-10000-3-3111-31000033-1-1-13-10000-3-3111-3100003i3i−i−i−i3i−i0000−3i−3iiii−3ii0000
χ3033-1-1-1-130000-3-31111-3000033-1-1-1-130000-3-31111-300003i3i−i−i−i−i3i0000−3i−3iiiii−3i0000
χ314-40000011-1-1-4400000-1-1114-40000011-1-1-4400000-1-1114i−4i00000ii−i−i−4i4i00000−i−iii
χ324-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i324-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i324i−4i00000ζ7ζ11−ζ7−ζ11−4i4i00000−ζ7−ζ11ζ7ζ11
χ334-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i324-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i324i−4i00000ζ11ζ7−ζ11−ζ7−4i4i00000−ζ11−ζ7ζ11ζ7
χ3411111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiii
χ351111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11iiiiiiiζ7ζ11ζ7ζ11
χ361111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7iiiiiiiζ11ζ7ζ11ζ7
χ37333-1-1-1-10000-3-3-311110000333-1-1-1-10000-3-3-311110000−3i−3i−3iiiii00003i3i3i−i−i−i−i0000
χ3833-13-1-1-10000-3-31-3111000033-13-1-1-10000-3-31-31110000−3i−3ii−3iiii00003i3i−i3i−i−i−i0000
χ3933-1-13-1-10000-3-311-311000033-1-13-1-10000-3-311-3110000−3i−3iii−3iii00003i3i−i−i3i−i−i0000
χ4033-1-1-13-10000-3-3111-31000033-1-1-13-10000-3-3111-310000−3i−3iiii−3ii00003i3i−i−i−i3i−i0000
χ4133-1-1-1-130000-3-31111-3000033-1-1-1-130000-3-31111-30000−3i−3iiiii−3i00003i3i−i−i−i−i3i0000
χ424-40000011-1-1-4400000-1-1114-40000011-1-1-4400000-1-111−4i4i00000−i−iii4i−4i00000ii−i−i
χ434-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i324-400000−1+i32−1−i321−i321+i32-44000001−i321+i32−1+i32−1−i32−4i4i00000−ζ7−ζ11ζ7ζ114i−4i00000ζ7ζ11−ζ7−ζ11
χ444-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i324-400000−1−i32−1+i321+i321−i32-44000001+i321−i32−1−i32−1+i32−4i4i00000−ζ11−ζ7ζ11ζ74i−4i00000ζ11ζ7−ζ11−ζ7
χ452222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ462222222−1+i3−1−i3−1+i3−1−i32222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i320000000000000000000000
χ472222222−1−i3−1+i3−1−i3−1+i32222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i320000000000000000000000
χ48666-2-2-2-20000666-2-2-2-20000-3-3-311110000-3-3-3111100000000000000000000000000
χ4966-26-2-2-2000066-26-2-2-20000-3-31-31110000-3-31-311100000000000000000000000000
χ5066-2-26-2-2000066-2-26-2-20000-3-311-3110000-3-311-31100000000000000000000000000
χ5166-2-2-26-2000066-2-2-26-20000-3-3111-310000-3-3111-3100000000000000000000000000
χ5266-2-2-2-26000066-2-2-2-260000-3-31111-30000-3-31111-300000000000000000000000000
χ538-80000022-2-28-80000022-2-2-4400000-1-111-4400000-1-1110000000000000000000000
χ548-800000−1+i3−1−i31−i31+i38-800000−1+i3−1−i31−i31+i3-44000001−i321+i32−1+i32−1−i32-44000001−i321+i32−1+i32−1−i320000000000000000000000
χ558-800000−1−i3−1+i31+i31−i38-800000−1−i3−1+i31+i31−i3-44000001+i321−i32−1−i32−1+i32-44000001+i321−i32−1−i32−1+i320000000000000000000000
χ5622222222222-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111110000000000000000000000
χ572222222−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-2-21−i31+i31−i31+i3-1-1-1-1-1-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i320000000000000000000000
χ582222222−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-2-21+i31−i31+i31−i3-1-1-1-1-1-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i320000000000000000000000
χ59666-2-2-2-20000-6-6-622220000-3-3-311110000333-1-1-1-100000000000000000000000000
χ6066-26-2-2-20000-6-62-62220000-3-31-3111000033-13-1-1-100000000000000000000000000
χ6166-2-26-2-20000-6-622-6220000-3-311-311000033-1-13-1-100000000000000000000000000
χ6266-2-2-26-20000-6-6222-620000-3-3111-31000033-1-1-13-100000000000000000000000000
χ6366-2-2-2-260000-6-62222-60000-3-31111-3000033-1-1-1-1300000000000000000000000000
χ648-80000022-2-2-8800000-2-222-4400000-1-1114-40000011-1-10000000000000000000000
χ658-800000−1+i3−1−i31−i31+i3-88000001−i31+i3−1+i3−1−i3-44000001−i321+i32−1+i32−1−i324-400000−1+i32−1−i321−i321+i320000000000000000000000
χ668-800000−1−i3−1+i31+i31−i3-88000001+i31−i3−1−i3−1+i3-44000001+i321−i32−1−i32−1+i324-400000−1−i32−1+i321+i321−i320000000000000000000000

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