Finite Group Databasebeta

← Group #13049712

Character table — Group #13049712

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444499181818181818181818181818181818181854545454108108108108
order1233333346666661212121212121212333333333333333336666666666666666612121212121212121212121212121212121212121212121212121212121212121212121222466666666121212121212121222226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111-1111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ611111111-1111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ711111111-1111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ811111111-1111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-111-1
χ92222222-122-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000002200-1-1
χ102222222-122-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2-20011
χ112222222-1-22-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-21-2-2-2-2-2-2-2-2111111111111111111111111110000000000000000000002-200-11
χ122222222-1-22-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-21-2-2-2-2-2-2-2-211111111111111111111111111000000000000000000000-22001-1
χ13222222-122-12222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002200-1-100
χ14222222-122-12222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2001100
χ15222222-12-2-122222-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-11-211111111-2-2-2-2-2-2-2-211111111111111111100000000000000000002-200-1100
χ16222222-12-2-122222-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-11-211111111-2-2-2-2-2-2-2-21111111111111111110000000000000000000-22001-100
χ17222-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ18222-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-211111100000000
χ19222-1-1-122-2222-1-1-1-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2-2-2-2-211111111111122-222-1-1-1-1-1-1-2-211111100000000
χ20222-1-1-122-2222-1-1-1-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2-2-2-2-2111111111111-2-22-2-211111122-1-1-1-1-1-100000000
χ2122-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100000000
χ2222-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-2111100000000
χ2322-12-1-122-222-12-1-111-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-211-2-2111111-2-21111-2-21111-2-2-2-21111111122-2-1-122-1-1-1-111-2-2111100000000
χ2422-12-1-122-222-12-1-111-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-211-2-2111111-2-21111-2-21111-2-2-2-211111111-2-2211-2-21111-1-122-1-1-1-100000000
χ2522-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-100000000
χ2622-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-21111-2-2111111-2-21100000000
χ2722-1-12-122-222-1-12-11111-2-211-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-2-21111-2-2111111-2-211-2-211111111-2-2-2-2111122-2-1-1-1-122-1-11111-2-21100000000
χ2822-1-12-122-222-1-12-11111-2-211-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-2-21111-2-2111111-2-211-2-211111111-2-2-2-21111-2-221111-2-211-1-1-1-122-1-100000000
χ2922-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ3022-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111111-2-2111111-2-200000000
χ3122-1-1-1222-222-1-1-12111111-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-222-2-1-1-1-1-1-122111111-2-200000000
χ3222-1-1-1222-222-1-1-12111111-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-2-2-22111111-2-2-1-1-1-1-1-12200000000
χ332-22222220-2-2-2-2-2-20000000022222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-202-22-22-22-20000000000000000
χ342-22222220-2-2-2-2-2-20000000022222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-220-22-22-22-220000000000000000
χ352-22-1-1-1220-2-2-2111003−33−33−32-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-211111100003−33−33−3003−33−33−300000033−3−333−3−333−3−32-202-2-11-11-11003−33−33−300000000
χ362-22-1-1-1220-2-2-2111003−33−33−32-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-211111100003−33−33−3003−33−33−300000033−3−333−3−333−3−3-220-221-11-11-100−33−33−3300000000
χ372-22-1-1-1220-2-2-211100−33−33−332-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-21111110000−33−33−3300−33−33−33000000−3−333−3−333−3−3332-202-2-11-11-1100−33−33−3300000000
χ382-22-1-1-1220-2-2-211100−33−33−332-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-21111110000−33−33−3300−33−33−33000000−3−333−3−333−3−333-220-221-11-11-1003−33−33−300000000
χ392-2-12-1-1220-2-21-2113−3003−3−33-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111003−3003−3−333−3003−3−330033−3−3000033−3−3−3−3332-20-112-2-11-113−3003−3−3300000000
χ402-2-12-1-1220-2-21-2113−3003−3−33-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111003−3003−3−333−3003−3−330033−3−3000033−3−3−3−333-2201-1-221-11-1−3300−333−300000000
χ412-2-12-1-1220-2-21-211−3300−333−3-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-2111100−3300−333−3−3300−333−300−3−3330000−3−33333−3−32-20-112-2-11-11−3300−333−300000000
χ422-2-12-1-1220-2-21-211−3300−333−3-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-2111100−3300−333−3−3300−333−300−3−3330000−3−33333−3−3-2201-1-221-11-13−3003−3−3300000000
χ432-2-1-12-1220-2-211-213−3−33003−3-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-211003−3−33003−33−3−33003−30033−3−3−3−333000033−3−32-20-11-112-2-113−3−33003−300000000
χ442-2-1-12-1220-2-211-213−3−33003−3-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-211003−3−33003−33−3−33003−30033−3−3−3−333000033−3−3-2201-11-1-221-1−333−300−3300000000
χ452-2-1-12-1220-2-211-21−333−300−33-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-21100−333−300−33−333−300−3300−3−33333−3−30000−3−3332-20-11-112-2-11−333−300−3300000000
χ462-2-1-12-1220-2-211-21−333−300−33-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-21100−333−300−33−333−300−3300−3−33333−3−30000−3−333-2201-11-1-221-13−3−33003−300000000
χ472-2-1-1-12220-2-2111-23−33−3−3300-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-2003−33−3−33003−33−3−33000033−3−333−3−3−3−33300002-20-11-11-112-23−33−3−330000000000
χ482-2-1-1-12220-2-2111-23−33−3−3300-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-2003−33−3−33003−33−3−33000033−3−333−3−3−3−3330000-2201-11-11-1-22−33−333−30000000000
χ492-2-1-1-12220-2-2111-2−33−333−300-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-200−33−333−300−33−333−30000−3−333−3−33333−3−300002-20-11-11-112-2−33−333−30000000000
χ502-2-1-1-12220-2-2111-2−33−333−300-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-200−33−333−300−33−333−30000−3−333−3−33333−3−30000-2201-11-11-1-223−33−3−330000000000
χ51444444-2-24-2-2444444444444-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111000000000000000000000000000
χ52444444-2-2-4-2-24444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2111111111222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ53444-2-2-24-244-24-2-2-244-2-2-2-2-2-24-2-2-2-2111-2-2-21111114-2-2-2-2111-2-2-21111114-244-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111111111000000000000000000000000000
χ54444-2-2-24-2-44-24-2-2-2-4-42222224-2-2-2-2111-2-2-21111114-2-2-2-2111-2-2-2111111-42-4-422222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ55444-2-2-2-244-244-2-2-244-2-2-2-2-2-2-21114-2-2-2-2-2-2111111-21114-2-2-2-2-2-2111111-24-2-211111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000
χ56444-2-2-2-24-4-244-2-2-2-4-4222222-21114-2-2-2-2-2-2111111-21114-2-2-2-2-2-21111112-422-1-1-1-1-1-1-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ57444-2-2-2-2-24-2-24-2-2-244-2-2-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111-2-2111111111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000
χ58444-2-2-2-2-24-2-24-2-2-244-2-2-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111-2-2111111111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000
χ59444-2-2-2-2-2-4-2-24-2-2-2-4-4222222-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i322222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i32000000000000000000000000000
χ60444-2-2-2-2-2-4-2-24-2-2-2-4-4222222-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i322222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i32000000000000000000000000000
χ6144-24-2-24-244-2-24-2-2-2-244-2-2-2-2-24-2-21-211-211-2-21111-24-2-21-211-211-2-211114-2-2-244-2-2-2-211-2-21111-2-21111-2-2-2-211111111000000000000000000000000000
χ6244-24-2-24-2-44-2-24-2-222-4-42222-24-2-21-211-211-2-21111-24-2-21-211-211-2-21111-4222-4-42222-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000000
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χ1154-4-2-2-24-2402-4222-423−2323−23−232300111-2-2-2-24-2111111-2-2-1-1-12222-42-1-1-1-1-1-12200−33−333−30023−2323−23−23230000−3−333−3−33333−3−30000000000000000000000000000000
χ1164-4-2-2-24-2402-4222-4−2323−232323−2300111-2-2-2-24-2111111-2-2-1-1-12222-42-1-1-1-1-1-122003−33−3−3300−2323−232323−23000033−3−333−3−3−3−3330000000000000000000000000000000
χ1174-4-2-2-24-2-2022222-423−2323−23−232300111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211-1-1-12-1-1-12-11+3i321−3i321+3i321−3i321−3i321+3i32-1-100−33−333−300−33−333−3003i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113i−3i−3i3i000000000000000000000000000
χ1184-4-2-2-24-2-2022222-423−2323−23−232300111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-100−33−333−300−33−333−300−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−3i3i3i−3i000000000000000000000000000
χ1194-4-2-2-24-2-2022222-4−2323−232323−2300111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211-1-1-12-1-1-12-11+3i321−3i321+3i321−3i321−3i321+3i32-1-1003−33−3−33003−33−3−3300−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i3i−3i000000000000000000000000000
χ1204-4-2-2-24-2-2022222-4−2323−232323−2300111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-1003−33−3−33003−33−3−33003i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−3i3i000000000000000000000000000

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