Finite Group Databasebeta

← Group #72252715

Character table — Group #72252715

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11226666666991212121212121212121212121212121212121212484848485454545454969696961441441441441122666666699121212121212121212121212121212121212121248484848545454545496969696144144144144
order12362223446226666666666661212121212121212336622244336666662266222644622666666666666121212121212121266662224466666666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111-1-1111111111111111111111111-1-1-1-1-11111-1-1-1-111111111111-1-1111111111111111111111111-1-1-1-1-11111-1-1-1-1
χ511111111111-1-111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211111111111-1-111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ611111111111-1-111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211111111111-1-111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ72222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000-1-1-1-100002222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000-1-1-1-10000
χ82222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3000001−i321+i321−i321+i3200002222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3000001−i321+i321−i321+i320000
χ92222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3000001+i321−i321+i321−i3200002222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3000001+i321−i321+i321−i320000
χ1033333-1-13-1-13333-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-100003-1-1-1-10000000033333-1-13-1-13333-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-100003-1-1-1-100000000
χ1133333-1-13-1-13-3-33-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-311110000000033333-1-13-1-13-3-33-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3111100000000
χ123333-13-13-1-1333-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-10000-13-1-1-1000000003333-13-13-1-1333-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-10000-13-1-1-100000000
χ133333-13-13-1-13-3-3-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-100001-3111000000003333-13-13-1-13-3-3-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-100001-311100000000
χ143333-1-133-1-1333-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-10000-1-13-1-1000000003333-1-133-1-1333-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-10000-1-13-1-100000000
χ153333-1-133-1-13-3-3-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-1000011-311000000003333-1-133-1-13-3-3-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-1000011-31100000000
χ163333-1-1-133-1333-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000-1-1-13-1000000003333-1-1-133-1333-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000-1-1-13-100000000
χ173333-1-1-133-13-3-3-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000111-31000000003333-1-1-133-13-3-3-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000111-3100000000
χ183333-1-1-13-13333-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13330000-1-1-1-13000000003333-1-1-13-13333-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13330000-1-1-1-1300000000
χ193333-1-1-13-133-3-3-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-133300001111-3000000003333-1-1-13-133-3-3-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-133300001111-300000000
χ204-44-4000400-44-40000000000000000000011-1-10000011-1-11-11-14-44-4000400-44-40000000000000000000011-1-10000011-1-11-11-1
χ214-44-4000400-44-400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i324-44-4000400-44-400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ224-44-4000400-44-400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i324-44-4000400-44-400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ234-44-4000400-4-440000000000000000000011-1-10000011-1-1-11-114-44-4000400-4-440000000000000000000011-1-10000011-1-1-11-11
χ244-44-4000400-4-4400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i324-44-4000400-4-4400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ254-44-4000400-4-4400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i324-44-4000400-4-4400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ2666666-2-2-3-2-2-3006-2-2-3-3-3111111-2-21111110000000000000000066666-2-2-3-2-2-3006-2-2-3-3-3111111-2-211111100000000000000000
χ276666-26-2-3-2-2-300-26-2111-3-3-3111-2-2111111000000000000000006666-26-2-3-2-2-300-26-2111-3-3-3111-2-211111100000000000000000
χ286666-2-26-3-2-2-300-2-26111111-3-3-3-2-2111111000000000000000006666-2-26-3-2-2-300-2-26111111-3-3-3-2-211111100000000000000000
χ296666-2-2-2-36-2-300-2-2-21111111116-2-3-3-3111000000000000000006666-2-2-2-36-2-300-2-2-21111111116-2-3-3-311100000000000000000
χ306666-2-2-2-3-26-300-2-2-2111111111-26111-3-3-3000000000000000006666-2-2-2-3-26-300-2-2-2111111111-26111-3-3-300000000000000000
χ3166-3-3666066000-3-3-3000000000-3-30000000000000000000000066-3-3666066000-3-3-3000000000-3-300000000000000000000000
χ3266-3-36-2-20-2-2000-3110004-2-24-2-2114-2-24-2-20000000000000000066-3-36-2-20-2-2000-3110004-2-24-2-2114-2-24-2-200000000000000000
χ3366-3-36-2-20-2-2000-311000-24-2-24-211-24-2-24-20000000000000000066-3-36-2-20-2-2000-311000-24-2-24-211-24-2-24-200000000000000000
χ3466-3-36-2-20-2-2000-311000-2-24-2-2411-2-24-2-240000000000000000066-3-36-2-20-2-2000-311000-2-24-2-2411-2-24-2-2400000000000000000
χ3566-3-3-26-20-2-20001-314-2-20004-2-211-24-2-2-240000000000000000066-3-3-26-20-2-20001-314-2-20004-2-211-24-2-2-2400000000000000000
χ3666-3-3-26-20-2-20001-31-24-2000-24-211-2-244-2-20000000000000000066-3-3-26-20-2-20001-31-24-2000-24-211-2-244-2-200000000000000000
χ3766-3-3-26-20-2-20001-31-2-24000-2-24114-2-2-24-20000000000000000066-3-3-26-20-2-20001-31-2-24000-2-24114-2-2-24-200000000000000000
χ3866-3-3-2-260-2-200011-34-2-24-2-200011-2-24-24-20000000000000000066-3-3-2-260-2-200011-34-2-24-2-200011-2-24-24-200000000000000000
χ3966-3-3-2-260-2-200011-3-24-2-24-2000114-2-2-2-240000000000000000066-3-3-2-260-2-200011-3-24-2-24-2000114-2-2-2-2400000000000000000
χ4066-3-3-2-260-2-200011-3-2-24-2-2400011-24-24-2-20000000000000000066-3-3-2-260-2-200011-3-2-24-2-2400011-24-24-2-200000000000000000
χ4166-3-3-2-2-206-20001114-2-2-24-2-2-24-310004-2-20000000000000000066-3-3-2-2-206-20001114-2-2-24-2-2-24-310004-2-200000000000000000
χ4266-3-3-2-2-206-2000111-24-2-2-244-2-2-31000-24-20000000000000000066-3-3-2-2-206-2000111-24-2-2-244-2-2-31000-24-200000000000000000
χ4366-3-3-2-2-206-2000111-2-244-2-2-24-2-31000-2-240000000000000000066-3-3-2-2-206-2000111-2-244-2-2-24-2-31000-2-2400000000000000000
χ4466-3-3-2-2-20-260001114-2-2-2-24-24-21-34-2-20000000000000000000066-3-3-2-2-20-260001114-2-2-2-24-24-21-34-2-200000000000000000000
χ4566-3-3-2-2-20-26000111-24-24-2-2-2-241-3-24-20000000000000000000066-3-3-2-2-20-26000111-24-24-2-2-2-241-3-24-200000000000000000000
χ4666-3-3-2-2-20-26000111-2-24-24-24-2-21-3-2-240000000000000000000066-3-3-2-2-20-26000111-2-24-24-24-2-21-3-2-2400000000000000000000
χ478-88-8000-4004000000000000000000000022-2-200000-1-11100008-88-8000-4004000000000000000000000022-2-200000-1-1110000
χ488-88-8000-40040000000000000000000000−1+i3−1−i31−i31+i3000001−i321+i32−1+i32−1−i3200008-88-8000-40040000000000000000000000−1+i3−1−i31−i31+i3000001−i321+i32−1+i32−1−i320000
χ498-88-8000-40040000000000000000000000−1−i3−1+i31+i31−i3000001+i321−i32−1−i32−1+i3200008-88-8000-40040000000000000000000000−1−i3−1+i31+i31−i3000001+i321−i32−1−i32−1+i320000
χ5024-24-1212000000000000000000000000000000000000000000000024-24-12120000000000000000000000000000000000000000000000
χ5111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ52111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ53111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ5411111111111-1-1111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111
χ5511111111111-1-111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32111111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ5611111111111-1-111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32111111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ572222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000-1-1-1-10000-2-2-2-2-2-2-21-2-2100-2-2-2111111111-2-2111111-2-2-2-20000011110000
χ582222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3000001−i321+i321−i321+i320000-2-2-2-2-2-2-21-2-2100-2-2-2111111111-2-21111111−i31+i31−i31+i300000−1+i32−1−i32−1+i32−1−i320000
χ592222222-122-100222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3000001+i321−i321+i321−i320000-2-2-2-2-2-2-21-2-2100-2-2-2111111111-2-21111111+i31−i31+i31−i300000−1−i32−1+i32−1−i32−1+i320000
χ6033333-1-13-1-13333-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-100003-1-1-1-100000000-3-3-3-3-311-311-3-3-3-311-3-3-3111111111111110000-3111100000000
χ6133333-1-13-1-13-3-33-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3111100000000-3-3-3-3-311-311-333-311-3-3-31111111111111100003-1-1-1-100000000
χ623333-13-13-1-1333-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-10000-13-1-1-100000000-3-3-3-31-31-311-3-3-31-31111-3-3-31111111111100001-311100000000
χ633333-13-13-1-13-3-3-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-100001-311100000000-3-3-3-31-31-311-3331-31111-3-3-3111111111110000-13-1-1-100000000
χ643333-1-133-1-1333-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-10000-1-13-1-100000000-3-3-3-311-3-311-3-3-311-3111111-3-3-311111111000011-31100000000
χ653333-1-133-1-13-3-3-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-1000011-31100000000-3-3-3-311-3-311-33311-3111111-3-3-3111111110000-1-13-1-100000000
χ663333-1-1-133-1333-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000-1-1-13-100000000-3-3-3-3111-3-31-3-3-3111111111111-31-3-3-31110000111-3100000000
χ673333-1-1-133-13-3-3-1-1-1-1-1-1-1-1-1-1-1-13-1333-1-1-10000111-3100000000-3-3-3-3111-3-31-333111111111111-31-3-3-31110000-1-1-13-100000000
χ683333-1-1-13-13333-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13330000-1-1-1-1300000000-3-3-3-3111-31-3-3-3-31111111111111-3111-3-3-300001111-300000000
χ693333-1-1-13-133-3-3-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-133300001111-300000000-3-3-3-3111-31-3-3331111111111111-3111-3-3-30000-1-1-1-1300000000
χ704-44-4000400-44-40000000000000000000011-1-10000011-1-11-11-1-44-44000-4004-4400000000000000000000-1-11100000-1-111-11-11
χ714-44-4000400-44-400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-44-44000-4004-44000000000000000000001−i321+i32−1+i32−1−i32000001−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ724-44-4000400-44-400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-44-44000-4004-44000000000000000000001+i321−i32−1−i32−1+i32000001+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ734-44-4000400-4-440000000000000000000011-1-10000011-1-1-11-11-44-44000-40044-400000000000000000000-1-11100000-1-1111-11-1
χ744-44-4000400-4-4400000000000000000000−1+i32−1−i321−i321+i3200000−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-44-44000-40044-4000000000000000000001−i321+i32−1+i32−1−i32000001−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ754-44-4000400-4-4400000000000000000000−1−i32−1+i321+i321−i3200000−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-44-44000-40044-4000000000000000000001+i321−i32−1−i32−1+i32000001+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ7666666-2-2-3-2-2-3006-2-2-3-3-3111111-2-211111100000000000000000-6-6-6-6-622322300-622333-1-1-1-1-1-122-1-1-1-1-1-100000000000000000
χ776666-26-2-3-2-2-300-26-2111-3-3-3111-2-211111100000000000000000-6-6-6-62-623223002-62-1-1-1333-1-1-122-1-1-1-1-1-100000000000000000
χ786666-2-26-3-2-2-300-2-26111111-3-3-3-2-211111100000000000000000-6-6-6-622-632230022-6-1-1-1-1-1-133322-1-1-1-1-1-100000000000000000
χ796666-2-2-2-36-2-300-2-2-21111111116-2-3-3-311100000000000000000-6-6-6-62223-62300222-1-1-1-1-1-1-1-1-1-62333-1-1-100000000000000000
χ806666-2-2-2-3-26-300-2-2-2111111111-26111-3-3-300000000000000000-6-6-6-622232-6300222-1-1-1-1-1-1-1-1-12-6-1-1-133300000000000000000
χ8166-3-3666066000-3-3-3000000000-3-300000000000000000000000-6-633-6-6-60-6-60003330000000003300000000000000000000000
χ8266-3-36-2-20-2-2000-3110004-2-24-2-2114-2-24-2-200000000000000000-6-633-6220220003-1-1000-422-422-1-1-422-42200000000000000000
χ8366-3-36-2-20-2-2000-311000-24-2-24-211-24-2-24-200000000000000000-6-633-6220220003-1-10002-422-42-1-12-422-4200000000000000000
χ8466-3-36-2-20-2-2000-311000-2-24-2-2411-2-24-2-2400000000000000000-6-633-6220220003-1-100022-422-4-1-122-422-400000000000000000
χ8566-3-3-26-20-2-20001-314-2-20004-2-211-24-2-2-2400000000000000000-6-6332-62022000-13-1-422000-422-1-12-4222-400000000000000000
χ8666-3-3-26-20-2-20001-31-24-2000-24-211-2-244-2-200000000000000000-6-6332-62022000-13-12-420002-42-1-122-4-42200000000000000000
χ8766-3-3-26-20-2-20001-31-2-24000-2-24114-2-2-24-200000000000000000-6-6332-62022000-13-122-400022-4-1-1-4222-4200000000000000000
χ8866-3-3-2-260-2-200011-34-2-24-2-200011-2-24-24-200000000000000000-6-63322-6022000-1-13-422-422000-1-122-42-4200000000000000000
χ8966-3-3-2-260-2-200011-3-24-2-24-2000114-2-2-2-2400000000000000000-6-63322-6022000-1-132-422-42000-1-1-42222-400000000000000000
χ9066-3-3-2-260-2-200011-3-2-24-2-2400011-24-24-2-200000000000000000-6-63322-6022000-1-1322-422-4000-1-12-42-42200000000000000000
χ9166-3-3-2-2-206-20001114-2-2-24-2-2-24-310004-2-200000000000000000-6-6332220-62000-1-1-1-4222-4222-43-1000-42200000000000000000
χ9266-3-3-2-2-206-2000111-24-2-2-244-2-2-31000-24-200000000000000000-6-6332220-62000-1-1-12-4222-4-4223-10002-4200000000000000000
χ9366-3-3-2-2-206-2000111-2-244-2-2-24-2-31000-2-2400000000000000000-6-6332220-62000-1-1-122-4-4222-423-100022-400000000000000000
χ9466-3-3-2-2-20-260001114-2-2-2-24-24-21-34-2-200000000000000000000-6-63322202-6000-1-1-1-42222-42-42-13-42200000000000000000000
χ9566-3-3-2-2-20-26000111-24-24-2-2-2-241-3-24-200000000000000000000-6-63322202-6000-1-1-12-42-42222-4-132-4200000000000000000000
χ9666-3-3-2-2-20-26000111-2-24-24-24-2-21-3-2-2400000000000000000000-6-63322202-6000-1-1-122-42-42-422-1322-400000000000000000000
χ978-88-8000-4004000000000000000000000022-2-200000-1-1110000-88-88000400-40000000000000000000000-2-2220000011-1-10000
χ988-88-8000-40040000000000000000000000−1+i3−1−i31−i31+i3000001−i321+i32−1+i32−1−i320000-88-88000400-400000000000000000000001−i31+i3−1+i3−1−i300000−1+i32−1−i321−i321+i320000
χ998-88-8000-40040000000000000000000000−1−i3−1+i31+i31−i3000001+i321−i32−1−i32−1+i320000-88-88000400-400000000000000000000001+i31−i3−1−i3−1+i300000−1−i32−1+i321+i321−i320000
χ10024-24-12120000000000000000000000000000000000000000000000-242412-120000000000000000000000000000000000000000000000

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