Finite Group Databasebeta

← Group #13049522

Character table — Group #13049522

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222222224444444444444444446666888888881212121212121212121212121212121212121212121212121218181818272736363636363636545454108162
order123333336666663333333336666666664412123333666612121212121212121212121212121212121212121212121212246644666121212122121262
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111-11111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111111-1-1-1-1-111-1-1
χ4111111111111111111111111111111111-11111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111111-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1111-1-1-1-11-1-11-1
χ611111111111111111111111111111111-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-11
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-11
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111111111-1
χ92222222-1-1222222222-1-1-1-1-1-12222-1-1-1-10200-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1202200-1-1-10000200-10
χ102222222-1-1222222222-1-1-1-1-1-12222-1-1-1-10200-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-20-2-2001110000-20010
χ112222222-1-1222222222-1-1-1-1-1-12222-1-1-1-10-200-1-1-1-1-1-1-1-110000-2-2-2-20000000011111111202200-1-1-10000-20010
χ122222222-1-1222222222-1-1-1-1-1-12222-1-1-1-10-200-1-1-1-1-1-1-1-110000-2-2-2-20000000011111111-20-2-2001110000200-10
χ13222222-1222222-1-1-1-1-12222-1-1-1-1-1-1222220-1-1-1-1-1-1-1-1-1-1022220000-1-1-1-1-1-1-1-10000000020-1-1222-1-100000-1-100
χ14222222-1222222-1-1-1-1-12222-1-1-1-1-1-1222220-1-1-1-1-1-1-1-1-1-1022220000-1-1-1-1-1-1-1-100000000-2011-2-2-211000001100
χ15222222-1222222-1-1-1-1-12222-1-1-1-1-1-12222-2011-1-1-1-1-1-1-1-10-2-2-2-20000111111110000000020-1-1-2-22-1-1000001100
χ16222222-1222222-1-1-1-1-12222-1-1-1-1-1-12222-2011-1-1-1-1-1-1-1-10-2-2-2-200001111111100000000-201122-21100000-1-100
χ17222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10200000002-1-1-100000
χ18222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-2222-1-1-12-1-1-1-22-1-1-1-211122-1-1-1-1-1-1-2-21111110-20000000-211100000
χ19222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-22-2-22-1-1-12-1-1-12-21112-1-1-1-2-211111122-1-1-1-1-1-10-20000000-211100000
χ20222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111-2111-2-2111111-2-21111110200000002-1-1-100000
χ2122-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-12222-12-1-1-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1020000000-12-1-100000
χ2222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-12-222-12-1-1-12-1-1-2-12-1-11-211-1-122-1-1-1-111-2-211110-200000001-21100000
χ2322-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-22-2-2-12-1-1-12-1-121-211-12-1-111-2-21111-1-122-1-1-1-10-200000001-21100000
χ2422-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-21-2111-21111-2-2111111-2-21111020000000-12-1-100000
χ2522-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-12222-1-12-1-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1020000000-1-12-100000
χ2622-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-12-222-1-12-1-1-12-1-2-1-12-111-21-1-1-1-122-1-11111-2-2110-2000000011-2100000
χ2722-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-22-2-2-1-12-1-1-12-1211-21-1-12-11111-2-211-1-1-1-122-1-10-2000000011-2100000
χ2822-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-1-211-2111-211111-2-2111111-2-211020000000-1-12-100000
χ2922-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122020000000-1-1-1200000
χ3022-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122-222-1-1-12-1-1-12-2-1-1-12111-2-1-1-1-1-1-122111111-2-20-20000000111-200000
χ3122-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-22-2-2-1-1-12-1-1-122111-2-1-1-12111111-2-2-1-1-1-1-1-1220-20000000111-200000
χ3222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12-2111-2111-2111111-2-2111111-2-2020000000-1-1-1200000
χ332-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000002i−2i000000002i−2i00
χ342-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000−2i2i00000000−2i2i00
χ352-22222-12-2-2-2-2-21-1-1-1-12222-111111-2-2-2-2003−3-1-1-1-111110000000003−33−33−33−30000000000−i3i32i−2i0−i3i300000−ii00
χ362-22222-12-2-2-2-2-21-1-1-1-12222-111111-2-2-2-2003−3-1-1-1-111110000000003−33−33−33−30000000000i3−i3−2i2i0i3−i300000i−i00
χ372-22222-12-2-2-2-2-21-1-1-1-12222-111111-2-2-2-200−33-1-1-1-11111000000000−33−33−33−330000000000−i3i3−2i2i0−i3i300000i−i00
χ382-22222-12-2-2-2-2-21-1-1-1-12222-111111-2-2-2-200−33-1-1-1-11111000000000−33−33−33−330000000000i3−i32i−2i0i3−i300000−ii00
χ39444444-2-2-24444-2-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-2000011111111000000000000000000000000040-2-200-211000000000
χ40444444-2-2-24444-2-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-20000111111110000000000000000000000000-4022002-1-1000000000
χ41444-2-2-24-2-24-2-2-244-2-2-2-2111-2-24-2-2-2-21110400-2111-2111-200004-2-2-200000000-2-2111111000000000000000000
χ42444-2-2-24-2-24-2-2-244-2-2-2-2111-2-24-2-2-2-21110-400-2111-211120000-42220000000022-1-1-1-1-1-1000000000000000000
χ43444-2-2-2-2444-2-2-2-2-21114-2-2-2-2-2-21114-2-2-240-2-2-2111-211104-2-2-20000-2-211111100000000000000000000000000
χ44444-2-2-2-2444-2-2-2-2-21114-2-2-2-2-2-21114-2-2-2-4022-2111-21110-4222000022-1-1-1-1-1-100000000000000000000000000
χ4544-24-2-24-2-2-24-2-24-24-2-21-211-2-2-24-2-21-21104001-2111-211-20000-24-2-20000000011-2-21111000000000000000000
χ4644-24-2-24-2-2-24-2-24-24-2-21-211-2-2-24-2-21-2110-4001-2111-211200002-42200000000-1-122-1-1-1-1000000000000000000
χ4744-24-2-2-244-24-2-2-21-211-24-2-2-2-21-211-24-2-240-2-21-2111-2110-24-2-2000011-2-2111100000000000000000000000000
χ4844-24-2-2-244-24-2-2-21-211-24-2-2-2-21-211-24-2-2-40221-2111-21102-4220000-1-122-1-1-1-100000000000000000000000000
χ4944-2-24-24-2-2-2-24-24-2-24-211-21-2-2-2-24-211-21040011-2111-21-20000-2-24-2000000001111-2-211000000000000000000
χ5044-2-24-24-2-2-2-24-24-2-24-211-21-2-2-2-24-211-210-40011-2111-212000022-4200000000-1-1-1-122-1-1000000000000000000
χ5144-2-24-2-244-2-24-2-211-21-2-24-2-2-211-21-2-24-240-2-211-2111-210-2-24-200001111-2-21100000000000000000000000000
χ5244-2-24-2-244-2-24-2-211-21-2-24-2-2-211-21-2-24-2-402211-2111-21022-420000-1-1-1-122-1-100000000000000000000000000
χ5344-2-2-244-2-2-2-2-244-2-2-24111-2-2-2-2-2-24111-20400111-2111-2-20000-2-2-2400000000111111-2-2000000000000000000
χ5444-2-2-244-2-2-2-2-244-2-2-24111-2-2-2-2-2-24111-20-400111-2111-220000222-400000000-1-1-1-1-1-122000000000000000000
χ5544-2-2-24-244-2-2-24-2111-2-2-2-24-2-2111-2-2-2-2440-2-2111-2111-20-2-2-240000111111-2-200000000000000000000000000
χ5644-2-2-24-244-2-2-24-2111-2-2-2-24-2-2111-2-2-2-24-4022111-2111-20222-40000-1-1-1-1-1-12200000000000000000000000000
χ574-444444-22-4-4-4-4-44444-2-2-2-2-22-4-4-4-422220000-2-2-2-222220000000000000000000000000000000000000000000
χ584-44444-2-22-4-4-4-42-2-2-2-2-2-2-2-21-12222222200001111-1-1-1-1000000000000000000000000000−2i32i3000i3−i3000000000
χ594-44444-2-22-4-4-4-42-2-2-2-2-2-2-2-21-12222222200001111-1-1-1-10000000000000000000000000002i3−2i3000−i3i3000000000
χ604-44-2-2-244-4-4222-44-2-2-24-2-2-24-4-4222-422200004-2-2-2-42220000000000000000000000000000000000000000000
χ614-44-2-2-24-22-4222-44-2-2-2-2111-22-42222-1-1-10000-21112-1-1-100000000000000000003i−3i3i−3i3i−3i000000000000000000
χ624-44-2-2-24-22-4222-44-2-2-2-2111-22-42222-1-1-10000-21112-1-1-10000000000000000000−3i3i−3i3i−3i3i000000000000000000
χ634-44-2-2-2-24-4-42222-21114-2-2-2-222-1-1-1-42220023−23-21112-1-1-100000000023−23−33−33−3300000000000000000000000000
χ644-44-2-2-2-24-4-42222-21114-2-2-2-222-1-1-1-422200−2323-21112-1-1-1000000000−23233−33−33−300000000000000000000000000
χ654-4-24-2-244-42-422-4-24-2-2-24-2-24-42-4222-4220000-24-2-22-4220000000000000000000000000000000000000000000
χ664-4-24-2-24-222-422-4-24-2-21-211-222-422-12-1-100001-211-12-1-1000000000000000003i−3i003i−3i−3i3i000000000000000000
χ674-4-24-2-24-222-422-4-24-2-21-211-222-422-12-1-100001-211-12-1-100000000000000000−3i3i00−3i3i3i−3i000000000000000000
χ684-4-24-2-2-24-42-42221-211-24-2-2-22-12-1-12-4220023−231-211-12-1-1000000000−3323−23−33−3300000000000000000000000000
χ694-4-24-2-2-24-42-42221-211-24-2-2-22-12-1-12-42200−23231-211-12-1-10000000003−3−23233−33−300000000000000000000000000
χ704-4-2-24-244-422-42-4-2-24-2-2-24-24-422-4222-420000-2-24-222-420000000000000000000000000000000000000000000
χ714-4-2-24-24-2222-42-4-2-24-211-21-2222-42-1-12-1000011-21-1-12-1000000000000000003i−3i−3i3i003i−3i000000000000000000
χ724-4-2-24-24-2222-42-4-2-24-211-21-2222-42-1-12-1000011-21-1-12-100000000000000000−3i3i3i−3i00−3i3i000000000000000000
χ734-4-2-24-2-24-422-42211-21-2-24-2-22-1-12-122-420023−2311-21-1-12-1000000000−33−3323−23−3300000000000000000000000000
χ744-4-2-24-2-24-422-42211-21-2-24-2-22-1-12-122-4200−232311-21-1-12-10000000003−33−3−23233−300000000000000000000000000
χ754-4-2-2-2444-4222-4-4-2-2-24-2-2-244-4222-4222-40000-2-2-24222-40000000000000000000000000000000000000000000
χ764-4-2-2-244-22222-4-4-2-2-24111-2-22222-4-1-1-120000111-2-1-1-12000000000000000003i−3i3i−3i−3i3i00000000000000000000
χ774-4-2-2-244-22222-4-4-2-2-24111-2-22222-4-1-1-120000111-2-1-1-1200000000000000000−3i3i−3i3i3i−3i00000000000000000000
χ784-4-2-2-24-24-4222-42111-2-2-2-24-22-1-1-12222-40023−23111-2-1-1-12000000000−33−33−3323−2300000000000000000000000000
χ794-4-2-2-24-24-4222-42111-2-2-2-24-22-1-1-12222-400−2323111-2-1-1-120000000003−33−33−3−232300000000000000000000000000
χ80888-4-4-4-4-4-48-4-4-4-4-4222-422222-4222-422200002-1-1-12-1-1-10000000000000000000000000000000000000000000
χ8188-48-4-4-4-4-4-48-4-4-42-4222-422222-4222-4220000-12-1-1-12-1-10000000000000000000000000000000000000000000
χ8288-4-48-4-4-4-4-4-48-4-422-4222-422222-4222-420000-1-12-1-1-12-10000000000000000000000000000000000000000000
χ8388-4-4-48-4-4-4-4-4-48-4222-4222-422222-4222-40000-1-1-12-1-1-120000000000000000000000000000000000000000000
χ848-88-4-4-4-4-44-84444-4222-42222-24-2-2-24-2-2-200002-1-1-1-21110000000000000000000000000000000000000000000
χ858-8-48-4-4-4-444-84442-4222-4222-2-24-2-2-24-2-20000-12-1-11-2110000000000000000000000000000000000000000000
χ868-8-4-48-4-4-4444-84422-4222-422-2-2-24-2-2-24-20000-1-12-111-210000000000000000000000000000000000000000000
χ878-8-4-4-48-4-44444-84222-4222-42-2-2-2-24-2-2-240000-1-1-12111-20000000000000000000000000000000000000000000

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