Finite Group Databasebeta

← Group #13049711

Character table — Group #13049711

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222222222444444444444444444444444444444444444444444444444444444444444444444444444418182727363636363636363654545454545454108108
order1233333346666661212333333333333333336666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121222226666666622466121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ511111111-1111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11-1-111-1-11-1
χ611111111-1111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-111-11
χ711111111-1111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-111-1-1-11
χ811111111-1111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-11-1-1111-1
χ92222222-122222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200000-1-1
χ102222222-122222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20000011
χ112222222-1-22222-12-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2-2-2-2-2111111111111111111111111110000000000002-200000-11
χ122222222-1-22222-12-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2-2-2-2-211111111111111111111111111000000000000-22000001-1
χ13222222-12222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000002-1-1-1-100
χ14222222-12222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000-2111100
χ15222222-12-222222-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111111100220000000000-2-1-11100
χ16222222-12-222222-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111111100-2-20000000000211-1-100
χ17222-1-1-12222-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002-1-1-12-1-1-1000000000
χ18222-1-1-12222-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2111-2111000000000
χ19222-1-1-122-22-1-1-122-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111-2-2111111-2-2-2-2-2-21111111111112-2002-1-1-1-2111000000000
χ20222-1-1-122-22-1-1-122-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111-2-2111111-2-2-2-2-2-2111111111111-2200-21112-1-1-1000000000
χ2122-12-1-1222-12-1-12222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12200-12-1-1-12-1-1000000000
χ2222-12-1-1222-12-1-12222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2001-2111-211000000000
χ2322-12-1-122-2-12-1-122-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-11-211-211-2-2111111-2-21111-2-21111-2-2-2-2111111112-200-12-1-11-211000000000
χ2422-12-1-122-2-12-1-122-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-11-211-211-2-2111111-2-21111-2-21111-2-2-2-211111111-22001-211-12-1-1000000000
χ2522-1-12-1222-1-12-12222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-12200-1-12-1-1-12-1000000000
χ2622-1-12-1222-1-12-12222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-20011-2111-21000000000
χ2722-1-12-122-2-1-12-122-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-111-21-21111-2-2111111-2-211-2-211111111-2-2-2-211112-200-1-12-111-21000000000
χ2822-1-12-122-2-1-12-122-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-111-21-21111-2-2111111-2-211-2-211111111-2-2-2-21111-220011-21-1-12-1000000000
χ2922-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222200-1-1-12-1-1-12000000000
χ3022-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-200111-2111-2000000000
χ3122-1-1-1222-2-1-1-1222-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-22-200-1-1-12111-2000000000
χ3222-1-1-1222-2-1-1-1222-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-2-2200111-2-1-1-12000000000
χ332-22222220-2-2-2-2-2-20022222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000002-2000000000002-20000
χ342-22222220-2-2-2-2-2-20022222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000-2200000000000-220000
χ352-22222-120-2-2-2-2-213−3-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111000003−33−33−33−3000000003−333−3−333−3−333−3−333−3−3002-200000000000-113−300
χ362-22222-120-2-2-2-2-213−3-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111000003−33−33−33−3000000003−333−3−333−3−333−3−333−3−300-22000000000001-1−3300
χ372-22222-120-2-2-2-2-21−33-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111100000−33−33−33−3300000000−33−3−333−3−333−3−333−3−333002-200000000000-11−3300
χ382-22222-120-2-2-2-2-21−33-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111100000−33−33−33−3300000000−33−3−333−3−333−3−333−3−33300-22000000000001-13−300
χ39444444-2-244444-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-21111111114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111000000000000000000000
χ40444444-2-2-44444-2-222-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2111111111-4-4-4-422222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ41444-2-2-24-244-2-2-2-24444-2-2-2-2111-2-2-21111114-2-2-2-2111-2-2-21111114-2-2-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111111111000000000000000000000
χ42444-2-2-24-2-44-2-2-2-24-4-44-2-2-2-2111-2-2-21111114-2-2-2-2111-2-2-2111111-42222-4-422222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ43444-2-2-2-2444-2-2-24-2-2-2-21114-2-2-2-2-2-2111111-21114-2-2-2-2-2-21111114-2-2-24-2-211111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000
χ44444-2-2-2-24-44-2-2-24-222-21114-2-2-2-2-2-2111111-21114-2-2-2-2-2-2111111-4222-422-1-1-1-1-1-1-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ45444-2-2-2-2-244-2-2-2-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i324-2-2-2-2-2-2111111-2-2111111111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ46444-2-2-2-2-244-2-2-2-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i324-2-2-2-2-2-2111111-2-2111111111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ47444-2-2-2-2-2-44-2-2-2-2-222-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-4222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i32000000000000000000000
χ48444-2-2-2-2-2-44-2-2-2-2-222-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-4222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i32000000000000000000000
χ4944-24-2-24-24-24-2-2-2444-24-2-21-211-211-2-21111-24-2-21-211-211-2-21111-24-2-2-2-2-244-2-2-2-211-2-21111-2-21111-2-2-2-211111111000000000000000000000
χ5044-24-2-24-2-4-24-2-2-24-4-4-24-2-21-211-211-2-21111-24-2-21-211-211-2-211112-422222-4-42222-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000
χ5144-24-2-2-244-24-2-24-2-2-21-211-24-2-2-211-2-211111-211-24-2-2-211-2-21111-24-2-2411-2-21111-2-244-2-2-2-2-2-21111-2-2-2-211111111000000000000000000000
χ5244-24-2-2-24-4-24-2-24-2221-211-24-2-2-211-2-211111-211-24-2-2-211-2-211112-422-4-1-122-1-1-1-122-4-4222222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000
χ5344-24-2-2-2-24-24-2-2-2-2-2-21-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i321-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32-24-2-2-211-2-2111111-2-2111111−1−3i32−1+3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ5444-24-2-2-2-24-24-2-2-2-2-2-21-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i321-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i32-24-2-2-211-2-2111111-2-2111111−1+3i32−1−3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ5544-24-2-2-2-2-4-24-2-2-2-2221-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i321-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i322-4222-1-122-1-1-1-1-1-122-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-11+3i321−3i321+3i321−3i321−3i321+3i321−3i321+3i32000000000000000000000
χ5644-24-2-2-2-2-4-24-2-2-2-2221-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i321-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i322-4222-1-122-1-1-1-1-1-122-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-11−3i321+3i321−3i321+3i321+3i321−3i321+3i321−3i32000000000000000000000
χ5744-2-24-24-24-2-24-2-2444-2-24-211-21-21111-2-211-2-24-211-21-21111-2-211-2-24-2-2-2-2-2-244-2-21111-2-211-2-211111111-2-2-2-21111000000000000000000000
χ5844-2-24-24-2-4-2-24-2-24-4-4-2-24-211-21-21111-2-211-2-24-211-21-21111-2-21122-4222222-4-422-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000
χ5944-2-24-2-244-2-24-24-2-2-211-21-2-24-2-21111-2-21111-21-2-24-2-21111-2-211-2-24-241111-2-211-2-2-2-244-2-2-2-211111111-2-2-2-21111000000000000000000000
χ6044-2-24-2-24-4-2-24-24-22211-21-2-24-2-21111-2-21111-21-2-24-2-21111-2-21122-42-4-1-1-1-122-1-12222-4-42222-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000
χ6144-2-24-2-2-24-2-24-2-2-2-2-211-2111-211−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i3211-2111-211−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i32-2-24-2-21111-2-2111111-2-21111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i321111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.