Finite Group Databasebeta

← Group #14519519

Character table — Group #14519519

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size122224488888888918181818181818181818181818545410810812222448888888891818181818181818181818181854541081081222244888888889181818181818181818181818185454108108
order13333333333333324666612121212121212122266333333333333333612666612121212121212126666333333333333333612666612121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1
χ31111111111111111-11111-1-1-1-1-1-1-1-11-11-11111111111111111-11111-1-1-1-1-1-1-1-11-11-11111111111111111-11111-1-1-1-1-1-1-1-11-11-1
χ41111111111111111-11111-1-1-1-1-1-1-1-1-11-111111111111111111-11111-1-1-1-1-1-1-1-1-11-111111111111111111-11111-1-1-1-1-1-1-1-1-11-11
χ5222222222222222-20-2-2-2-2000000000000222222222222222-20-2-2-2-2000000000000222222222222222-20-2-2-2-2000000000000
χ622-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1000022-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1000022-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10000
χ722-1-1-12222-1-1-1-1-1-12-22-1-1-1-2-2111111000022-1-1-12222-1-1-1-1-1-12-22-1-1-1-2-2111111000022-1-1-12222-1-1-1-1-1-12-22-1-1-1-2-21111110000
χ822-1-1-12222-1-1-1-1-1-1-20-211100333−3−3−3000022-1-1-12222-1-1-1-1-1-1-20-211100333−3−3−3000022-1-1-12222-1-1-1-1-1-1-20-211100333−3−3−30000
χ922-1-1-12222-1-1-1-1-1-1-20-211100−3−3−3333000022-1-1-12222-1-1-1-1-1-1-20-211100−3−3−3333000022-1-1-12222-1-1-1-1-1-1-20-211100−3−3−33330000
χ102-12-1-122-1-122-1-1-1-122-12-1-1-1-12-1-12-1-100002-12-1-122-1-122-1-1-1-122-12-1-1-1-12-1-12-1-100002-12-1-122-1-122-1-1-1-122-12-1-1-1-12-1-12-1-10000
χ112-12-1-122-1-122-1-1-1-12-2-12-1-111-211-21100002-12-1-122-1-122-1-1-1-12-2-12-1-111-211-21100002-12-1-122-1-122-1-1-1-12-2-12-1-111-211-2110000
χ122-12-1-122-1-122-1-1-1-1-201-2113−303−303−300002-12-1-122-1-122-1-1-1-1-201-2113−303−303−300002-12-1-122-1-122-1-1-1-1-201-2113−303−303−30000
χ132-12-1-122-1-122-1-1-1-1-201-211−330−330−3300002-12-1-122-1-122-1-1-1-1-201-211−330−330−3300002-12-1-122-1-122-1-1-1-1-201-211−330−330−330000
χ142-1-12-122-1-1-1-122-1-122-1-12-1-1-1-12-1-1-1200002-1-12-122-1-1-1-122-1-122-1-12-1-1-1-12-1-1-1200002-1-12-122-1-1-1-122-1-122-1-12-1-1-1-12-1-1-120000
χ152-1-12-122-1-1-1-122-1-12-2-1-12-1111-2111-200002-1-12-122-1-1-1-122-1-12-2-1-12-1111-2111-200002-1-12-122-1-1-1-122-1-12-2-1-12-1111-2111-20000
χ162-1-12-122-1-1-1-122-1-1-2011-213−3−3033−3000002-1-12-122-1-1-1-122-1-1-2011-213−3−3033−3000002-1-12-122-1-1-1-122-1-1-2011-213−3−3033−300000
χ172-1-12-122-1-1-1-122-1-1-2011-21−3330−3−33000002-1-12-122-1-1-1-122-1-1-2011-21−3330−3−33000002-1-12-122-1-1-1-122-1-1-2011-21−3330−3−3300000
χ182-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-100002-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-100002-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-10000
χ192-1-1-1222-1-1-1-1-1-1222-2-1-1-121111-21-2100002-1-1-1222-1-1-1-1-1-1222-2-1-1-121111-21-2100002-1-1-1222-1-1-1-1-1-1222-2-1-1-121111-21-210000
χ202-1-1-1222-1-1-1-1-1-122-20111-23−33−30−30300002-1-1-1222-1-1-1-1-1-122-20111-23−33−30−30300002-1-1-1222-1-1-1-1-1-122-20111-23−33−30−3030000
χ212-1-1-1222-1-1-1-1-1-122-20111-2−33−33030−300002-1-1-1222-1-1-1-1-1-122-20111-2−33−33030−300002-1-1-1222-1-1-1-1-1-122-20111-2−33−33030−30000
χ22444441-21-21-21-21-200000000000000020-1444441-21-21-21-21-200000000000000020-1444441-21-21-21-21-200000000000000020-1
χ23444441-21-21-21-21-2000000000000000-201444441-21-21-21-21-2000000000000000-201444441-21-21-21-21-2000000000000000-201
χ2444444-21-21-21-21-210000000000000020-1044444-21-21-21-21-210000000000000020-1044444-21-21-21-21-210000000000000020-10
χ2544444-21-21-21-21-2100000000000000-201044444-21-21-21-21-2100000000000000-201044444-21-21-21-21-2100000000000000-2010
χ2688-4-4-42-42-4-12-12-1200000000000000000088-4-4-42-42-4-12-12-1200000000000000000088-4-4-42-42-4-12-12-12000000000000000000
χ2788-4-4-4-42-422-12-12-100000000000000000088-4-4-4-42-422-12-12-100000000000000000088-4-4-4-42-422-12-12-1000000000000000000
χ288-48-4-42-4-122-4-12-120000000000000000008-48-4-42-4-122-4-12-120000000000000000008-48-4-42-4-122-4-12-12000000000000000000
χ298-48-4-4-422-1-422-12-10000000000000000008-48-4-4-422-1-422-12-10000000000000000008-48-4-4-422-1-422-12-1000000000000000000
χ308-4-48-42-4-12-122-4-120000000000000000008-4-48-42-4-12-122-4-120000000000000000008-4-48-42-4-12-122-4-12000000000000000000
χ318-4-48-4-422-12-1-422-10000000000000000008-4-48-4-422-12-1-422-10000000000000000008-4-48-4-422-12-1-422-1000000000000000000
χ328-4-4-482-4-12-12-122-40000000000000000008-4-4-482-4-12-12-122-40000000000000000008-4-4-482-4-12-12-122-4000000000000000000
χ338-4-4-48-422-12-12-1-420000000000000000008-4-4-48-422-12-12-1-420000000000000000008-4-4-48-422-12-12-1-42000000000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511111111111111111111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ361111111111111111-11111-1-1-1-1-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ371111111111111111-11111-1-1-1-1-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ38222222222222222-20-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i301−i31−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i301+i31+i31+i31+i3000000000000
χ3922-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10000−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ4022-1-1-12222-1-1-1-1-1-12-22-1-1-1-2-21111110000−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ4122-1-1-12222-1-1-1-1-1-1-20-211100333−3−3−30000−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i301−i3−1+i32−1+i32−1+i3200−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i301+i3−1−i32−1−i32−1−i32002ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ4222-1-1-12222-1-1-1-1-1-1-20-211100−3−3−33330000−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i301−i3−1+i32−1+i32−1+i3200ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i301+i3−1−i32−1−i32−1−i3200−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ110000
χ432-12-1-122-1-122-1-1-1-122-12-1-1-1-12-1-12-1-10000−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i320000−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i320000
χ442-12-1-122-1-122-1-1-1-12-2-12-1-111-211-2110000−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i31−i32−1+i31−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i320000−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i31+i32−1−i31+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i320000
χ452-12-1-122-1-122-1-1-1-1-201-2113−303−303−30000−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i30−1+i321−i3−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ110000−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i30−1−i321+i3−1−i32−1−i322ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ110000
χ462-12-1-122-1-122-1-1-1-1-201-211−330−330−330000−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i30−1+i321−i3−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ110000−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i30−1−i321+i3−1−i32−1−i32−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ110000
χ472-1-12-122-1-1-1-122-1-122-1-12-1-1-1-12-1-1-120000−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i30000−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i30000
χ482-1-12-122-1-1-1-122-1-12-2-1-12-1111-2111-20000−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i31−i321−i32−1+i31−i32−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i30000−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i31+i321+i32−1−i31+i32−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i30000
χ492-1-12-122-1-1-1-122-1-1-2011-213−3−3033−300000−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i30−1+i32−1+i321−i3−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i30−1−i32−1−i321+i3−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1102ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000
χ502-1-12-122-1-1-1-122-1-1-2011-21−3330−3−3300000−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i30−1+i32−1+i321−i3−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i30−1−i32−1−i321+i3−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ110−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000
χ512-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-10000−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i320000−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i320000
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χ842-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-10000−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i320000−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i320000
χ852-1-1-1222-1-1-1-1-1-1222-2-1-1-121111-21-210000−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i321+i3−1−i320000−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i321−i3−1+i320000
χ862-1-1-1222-1-1-1-1-1-122-20111-23−33−30−3030000−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i30−1−i32−1−i32−1−i321+i32ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ1102ζ7+ζ110000−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i30−1+i32−1+i32−1+i321−i3−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ110−ζ7−2ζ110000
χ872-1-1-1222-1-1-1-1-1-122-20111-2−33−33030−30000−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i30−1−i32−1−i32−1−i321+i3−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1102ζ7+ζ110−2ζ7−ζ110000−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i30−1+i32−1+i32−1+i321−i3ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ110ζ7+2ζ110000
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χ89444441-21-21-21-21-2000000000000000-201−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30000000000000001+i30−1−i32−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30000000000000001−i30−1+i32
χ9044444-21-21-21-21-210000000000000020-10−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i3200000000000000−1−i301+i320−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i3200000000000000−1+i301−i320
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.