Finite Group Databasebeta

← Group #13049720

Character table — Group #13049720

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222222222444444444444444444444444444444444444444444444444444444444444444444444444418182727363636363636363654545454545454108108
order12233333366666666333333333333333336666666666666666666666666666666666666666666666666666666624226666121212122246666612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ511-11111111-1-11111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-111-1-11-1
χ611-11111111-1-11111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-11-1-111-11
χ711-11111111-1-11111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-1-11
χ811-11111111-1-11111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1111-1
χ922222222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000200-1-1-1-100
χ1022222222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000-200111100
χ112222222-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000220000-1-1
χ122222222-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2000011
χ132222-1-1-1222222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002-1-1-12-1-1-1000000000
χ142222-1-1-1222222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2111-2111000000000
χ15222-12-1-122222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12200-12-1-1-12-1-1000000000
χ16222-12-1-122222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2001-2111-211000000000
χ17222-1-12-122222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-12200-1-12-1-1-12-1000000000
χ18222-1-12-122222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-20011-2111-21000000000
χ19222-1-1-1222222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222200-1-1-12-1-1-12000000000
χ20222-1-1-1222222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-200111-2111-2000000000
χ2122-222222-1-111222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111111002200000000-200-1-11100
χ2222-222222-1-111222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111111100-2-20000000020011-1-100
χ2322-22222-122-2-22222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-21-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111111100000000000002-20000-11
χ2422-22222-122-2-22222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-21-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111110000000000000-2200001-1
χ2522-22-1-1-1222-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2111-22-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-21111111111112-2002-1-1-1-2111000000000
χ2622-22-1-1-1222-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2111-22-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111-2200-21112-1-1-1000000000
χ2722-2-12-1-1222-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-11-211-2-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111112-200-12-1-11-211000000000
χ2822-2-12-1-1222-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-11-211-2-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-211111111-22001-211-12-1-1000000000
χ2922-2-1-12-1222-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-111-21-2-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-211112-200-1-12-111-21000000000
χ3022-2-1-12-1222-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-111-21-2-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-21111-220011-21-1-12-1000000000
χ3122-2-1-1-12222-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111-2-2-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-22-200-1-1-12111-2000000000
χ3222-2-1-1-12222-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111-2-2-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-2-2200111-2-1-1-12000000000
χ332-20222222-200-2-2-2-2-22222222222222222200000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2000000000002-20000
χ342-20222222-200-2-2-2-2-22222222222222222200000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2200000000000-220000
χ352-2022222-11i3−i3-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2111111111111100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-200000000000-11i3−i300
χ362-2022222-11i3−i3-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2111111111111100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-22000000000001-1−i3i300
χ372-2022222-11−i3i3-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2111111111111100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-200000000000-11−i3i300
χ382-2022222-11−i3i3-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2111111111111100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-22000000000001-1i3−i300
χ394444444-2-2-2-2-24444-2-2-2-2-2-2-2-2-21111111114444-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111000000000000000000000
χ404444-2-2-24-2-2-2-24-2-2-244-2-2-2-2111-2-2-21111114-2-2-244-2-2-2-2111-2-2-211111144-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111111111000000000000000000000
χ414444-2-2-2-244444-2-2-2-2-21114-2-2-2-2-2-21111114-2-2-2-2-21114-2-2-2-2-2-2111111-2-211111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000
χ424444-2-2-2-2-2-2-2-24-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i324-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111-2-2111111111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ434444-2-2-2-2-2-2-2-24-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i324-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111-2-2111111111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ44444-24-2-24-2-2-2-2-24-2-24-24-2-21-211-211-2-21111-24-2-24-24-2-21-211-211-2-21111-2-244-2-2-2-211-2-21111-2-21111-2-2-2-211111111000000000000000000000
χ45444-24-2-2-24444-24-2-2-21-211-24-2-2-211-2-21111-24-2-2-21-211-24-2-2-211-2-2111111-2-21111-2-244-2-2-2-2-2-21111-2-2-2-211111111000000000000000000000
χ46444-24-2-2-2-2-2-2-2-24-2-2-21-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i32-24-2-2-21-2111-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i3211-2-2111111-2-2111111−1+3i32−1−3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ47444-24-2-2-2-2-2-2-2-24-2-2-21-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32-24-2-2-21-2111-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i3211-2-2111111-2-2111111−1−3i32−1+3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ48444-2-24-24-2-2-2-2-2-24-24-2-24-211-21-21111-2-211-2-24-24-2-24-211-21-21111-2-211-2-2-2-244-2-21111-2-211-2-211111111-2-2-2-21111000000000000000000000
χ49444-2-24-2-24444-2-24-2-211-21-2-24-2-21111-2-211-2-24-2-211-21-2-24-2-21111-2-2111111-2-211-2-2-2-244-2-2-2-211111111-2-2-2-21111000000000000000000000
χ50444-2-24-2-2-2-2-2-2-2-24-2-211-2111-211−1+3i32−1−3i32−1−3i32−1+3i3211−1+3i32−1−3i32-2-24-2-211-2111-211−1+3i32−1−3i32−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2111111-2-21111−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i321111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ51444-2-24-2-2-2-2-2-2-2-24-2-211-2111-211−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i32-2-24-2-211-2111-211−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2111111-2-21111−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i321111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ52444-2-2-244-2-2-2-2-2-2-244-2-2-24111-2-2111111-2-2-2-2-244-2-2-24111-2-2111111-2-2-2-2-2-2-2-244111111-2-2-2-2111111111111-2-2-2-2000000000000000000000
χ53444-2-2-24-24444-2-2-24-2111-2-2-2-24-2111111-2-2-2-2-24-2111-2-2-2-24-2111111-2-2111111-2-2-2-2-2-2-2-244-2-2111111111111-2-2-2-2000000000000000000000
χ54444-2-2-24-2-2-2-2-2-2-2-24-2111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211-2-2-24-2111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211111111-2-2111111-2-211−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i321111000000000000000000000
χ55444-2-2-24-2-2-2-2-2-2-2-24-2111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211-2-2-24-2111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211111111-2-2111111-2-211−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i321111000000000000000000000
χ5644-44444-2-2-2224444-2-2-2-2-2-2-2-2-2111111111-4-4-4-42-2-2-2-2-2-2-2-21111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ5744-44-2-2-24-2-2224-2-2-244-2-2-2-2111-2-2-2111111-4222-44-2-2-2-2111-2-2-2111111-4-422222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ5844-44-2-2-2-244-4-44-2-2-2-2-21114-2-2-2-2-2-2111111-42222-21114-2-2-2-2-2-211111122-1-1-1-1-1-1-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ5944-44-2-2-2-2-2-2224-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-42222-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i32000000000000000000000
χ6044-44-2-2-2-2-2-2224-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-42222-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i32000000000000000000000
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Here i is the imaginary unit (i² = −1).