Finite Group Databasebeta

← Group #13049509

Character table — Group #13049509

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222222444444444444444444668888888812121212121212121212121212121212121212121212121212121818363636363636363654548181108108
order123333336666663333333336666666664433336666121212121212121212121212121212121212121212121212121244121212121212121244221212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11-1
χ4111111111111111111111111111111111-1111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11
χ511111111111111111111111111111111-1111111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-11-1-1-11
χ611111111111111111111111111111111-1111111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111-1
χ711111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ811111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111
χ92222222-122222-12222-1-1-1-1-12222-1-1-1-1-102-1-1-1-1-1-1-1-1000022220-100000000-1-1-1-1-1-1-1-10200002-1-1-102000-1
χ102222222-122222-12222-1-1-1-1-12222-1-1-1-1-102-1-1-1-1-1-1-1-1000022220-100000000-1-1-1-1-1-1-1-10-20000-21110-20001
χ112222222-122222-12222-1-1-1-1-12222-1-1-1-1-10-2-1-1-1-1-1-1-1-10000-2-2-2-20100000000111111110200002-1-1-10-20001
χ122222222-122222-12222-1-1-1-1-12222-1-1-1-1-10-2-1-1-1-1-1-1-1-10000-2-2-2-20100000000111111110-20000-211102000-1
χ13222222-122222-12-1-1-1-12222-1-1-1-1-12222-120-1-1-1-1-1-1-1-122220000-10-1-1-1-1-1-1-1-100000000020000-12-1-12000-10
χ14222222-122222-12-1-1-1-12222-1-1-1-1-12222-120-1-1-1-1-1-1-1-122220000-10-1-1-1-1-1-1-1-1000000000-200001-211-200010
χ15222222-122222-12-1-1-1-12222-1-1-1-1-12222-1-20-1-1-1-1-1-1-1-1-2-2-2-20000101111111100000000020000-12-1-1-200010
χ16222222-122222-12-1-1-1-12222-1-1-1-1-12222-1-20-1-1-1-1-1-1-1-1-2-2-2-200001011111111000000000-200001-2112000-10
χ17222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1202-1-1-10000000000
χ18222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-122-22-1-1-12-1-1-12-1-1-1-21112-222-1-1-1-1-1-1-2-2111111-20-21110000000000
χ19222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-12-222-1-1-12-1-1-1-21112-1-1-1-22-2-211111122-1-1-1-1-1-1-20-21110000000000
χ20222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-12-2-22-1-1-12-1-1-1-2111-2111-2-2-2-2111111-2-2111111202-1-1-10000000000
χ2122-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-120-12-1-10000000000
χ2222-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-12-1-122-2-12-1-1-12-1-1-12-1-11-2112-2-1-122-1-1-1-111-2-21111-201-2110000000000
χ2322-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-12-1-12-22-12-1-1-12-1-11-211-12-1-1-2211-2-21111-1-122-1-1-1-1-201-2110000000000
χ2422-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-12-1-12-2-2-12-1-1-12-1-11-2111-211-2-211-2-2111111-2-2111120-12-1-10000000000
χ2522-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-120-1-12-10000000000
χ2622-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-1-12-122-2-1-12-1-1-12-1-1-12-111-212-2-1-1-1-122-1-11111-2-211-2011-210000000000
χ2722-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-1-12-12-22-1-12-1-1-12-111-21-1-12-1-221111-2-211-1-1-1-122-1-1-2011-210000000000
χ2822-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-1-12-12-2-2-1-12-1-1-12-111-2111-21-2-21111-2-2111111-2-21120-1-12-10000000000
χ2922-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12220-1-1-120000000000
χ3022-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1222-2-1-1-12-1-1-12-1-1-12111-22-2-1-1-1-1-1-122111111-2-2-20111-20000000000
χ3122-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-122-22-1-1-12-1-1-12111-2-1-1-12-22111111-2-2-1-1-1-1-1-122-20111-20000000000
χ3222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-122-2-2-1-1-12-1-1-12111-2111-2-2-2111111-2-2111111-2-220-1-1-120000000000
χ332-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2002222-2-2-2-2000000000000000000000000000000000000002-200
χ342-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000000000000000000000000000-2200
χ35444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21001111111100000000000000000000000000040000-2-211000000
χ36444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-210011111111000000000000000000000000000-4000022-1-1000000
χ37444-2-2-24-24-2-2-24-24-2-2-2-2111-24-2-2-2-2111-204-2111-211100004-2-2-20-200000000-2-21111110000000000000000
χ38444-2-2-24-24-2-2-24-24-2-2-2-2111-24-2-2-2-2111-20-4-2111-21110000-4222020000000022-1-1-1-1-1-10000000000000000
χ39444-2-2-2-244-2-2-2-24-21114-2-2-2-2-21114-2-2-2-240-2111-21114-2-2-20000-20-2-2111111000000000000000000000000
χ40444-2-2-2-244-2-2-2-24-21114-2-2-2-2-21114-2-2-2-2-40-2111-2111-422200002022-1-1-1-1-1-1000000000000000000000000
χ4144-24-2-24-2-24-2-24-2-24-2-21-211-2-24-2-21-211-2041-2111-2110000-24-2-20-20000000011-2-211110000000000000000
χ4244-24-2-24-2-24-2-24-2-24-2-21-211-2-24-2-21-211-20-41-2111-21100002-4220200000000-1-122-1-1-1-10000000000000000
χ4344-24-2-2-24-24-2-2-241-211-24-2-2-21-211-24-2-2-2401-2111-211-24-2-20000-2011-2-21111000000000000000000000000
χ4444-24-2-2-24-24-2-2-241-211-24-2-2-21-211-24-2-2-2-401-2111-2112-422000020-1-122-1-1-1-1000000000000000000000000
χ4544-2-24-24-2-2-24-24-2-2-24-211-21-2-2-24-211-21-20411-2111-210000-2-24-20-2000000001111-2-2110000000000000000
χ4644-2-24-24-2-2-24-24-2-2-24-211-21-2-2-24-211-21-20-411-2111-21000022-420200000000-1-1-1-122-1-10000000000000000
χ4744-2-24-2-24-2-24-2-2411-21-2-24-2-211-21-2-24-2-24011-2111-21-2-24-20000-201111-2-211000000000000000000000000
χ4844-2-24-2-24-2-24-2-2411-21-2-24-2-211-21-2-24-2-2-4011-2111-2122-42000020-1-1-1-122-1-1000000000000000000000000
χ4944-2-2-244-2-2-2-244-2-2-2-24111-2-2-2-2-24111-2-204111-2111-20000-2-2-240-200000000111111-2-20000000000000000
χ5044-2-2-244-2-2-2-244-2-2-2-24111-2-2-2-2-24111-2-20-4111-2111-20000222-40200000000-1-1-1-1-1-1220000000000000000
χ5144-2-2-24-24-2-2-24-24111-2-2-2-24-2111-2-2-2-24-240111-2111-2-2-2-240000-20111111-2-2000000000000000000000000
χ5244-2-2-24-24-2-2-24-24111-2-2-2-24-2111-2-2-2-24-2-40111-2111-2222-4000020-1-1-1-1-1-122000000000000000000000000
χ534-444444-2-4-4-4-4-424444-2-2-2-2-2-4-4-4-42222200-2-2-2-22222000000000000000000000000000000000000000000
χ544-44444-24-4-4-4-42-4-2-2-2-24444-22222-4-4-4-4200-2-2-2-22222000000000000000000000000000000000000000000
χ554-44444-2-2-4-4-4-422-2-2-2-2-2-2-2-2122222222-1001111-1-1-1-100000000000000000000000000000000003i−3i000000
χ564-44444-2-2-4-4-4-422-2-2-2-2-2-2-2-2122222222-1001111-1-1-1-10000000000000000000000000000000000−3i3i000000
χ574-44-2-2-244-4222-4-44-2-2-24-2-2-24-4222-4222-4004-2-2-2-4222000000000000000000000000000000000000000000
χ584-44-2-2-24-2-4222-424-2-2-2-2111-2-42222-1-1-1200-21112-1-1-1000000000000000000003i−3i3i−3i3i−3i0000000000000000
χ594-44-2-2-24-2-4222-424-2-2-2-2111-2-42222-1-1-1200-21112-1-1-100000000000000000000−3i3i−3i3i−3i3i0000000000000000
χ604-44-2-2-2-24-42222-4-21114-2-2-2-22-1-1-1-4222200-21112-1-1-10000000000003i−3i3i−3i3i−3i000000000000000000000000
χ614-44-2-2-2-24-42222-4-21114-2-2-2-22-1-1-1-4222200-21112-1-1-1000000000000−3i3i−3i3i−3i3i000000000000000000000000
χ624-4-24-2-2442-422-4-4-24-2-2-24-2-242-4222-422-400-24-2-22-422000000000000000000000000000000000000000000
χ634-4-24-2-24-22-422-42-24-2-21-211-22-422-12-1-12001-211-12-1-10000000000000000003i−3i003i−3i−3i3i0000000000000000
χ644-4-24-2-24-22-422-42-24-2-21-211-22-422-12-1-12001-211-12-1-1000000000000000000−3i3i00−3i3i3i−3i0000000000000000
χ654-4-24-2-2-242-4222-41-211-24-2-2-2-12-1-12-4222001-211-12-1-100000000003i−3i003i−3i−3i3i000000000000000000000000
χ664-4-24-2-2-242-4222-41-211-24-2-2-2-12-1-12-4222001-211-12-1-10000000000−3i3i00−3i3i3i−3i000000000000000000000000
χ674-4-2-24-24422-42-4-4-2-24-2-2-24-2422-4222-42-400-2-24-222-42000000000000000000000000000000000000000000
χ684-4-2-24-24-222-42-42-2-24-211-21-222-42-1-12-120011-21-1-12-10000000000000000003i−3i−3i3i003i−3i0000000000000000
χ694-4-2-24-24-222-42-42-2-24-211-21-222-42-1-12-120011-21-1-12-1000000000000000000−3i3i3i−3i00−3i3i0000000000000000
χ704-4-2-24-2-2422-422-411-21-2-24-2-2-1-12-122-4220011-21-1-12-100000000003i−3i−3i3i003i−3i000000000000000000000000
χ714-4-2-24-2-2422-422-411-21-2-24-2-2-1-12-122-4220011-21-1-12-10000000000−3i3i3i−3i00−3i3i000000000000000000000000
χ724-4-2-2-2444222-4-4-4-2-2-24-2-2-244222-4222-4-400-2-2-24222-4000000000000000000000000000000000000000000
χ734-4-2-2-244-2222-4-42-2-2-24111-2-2222-4-1-1-12200111-2-1-1-120000000000000000003i−3i3i−3i−3i3i000000000000000000
χ744-4-2-2-244-2222-4-42-2-2-24111-2-2222-4-1-1-12200111-2-1-1-12000000000000000000−3i3i−3i3i3i−3i000000000000000000
χ754-4-2-2-24-24222-42-4111-2-2-2-24-2-1-1-12222-4200111-2-1-1-1200000000003i−3i3i−3i−3i3i00000000000000000000000000
χ764-4-2-2-24-24222-42-4111-2-2-2-24-2-1-1-12222-4200111-2-1-1-120000000000−3i3i−3i3i3i−3i00000000000000000000000000
χ77888-4-4-4-4-48-4-4-4-4-4-4222-42222-4222-42222002-1-1-12-1-1-1000000000000000000000000000000000000000000
χ7888-48-4-4-4-4-48-4-4-4-42-4222-42222-4222-422200-12-1-1-12-1-1000000000000000000000000000000000000000000
χ7988-4-48-4-4-4-4-48-4-4-422-4222-42222-4222-42200-1-12-1-1-12-1000000000000000000000000000000000000000000
χ8088-4-4-48-4-4-4-4-48-4-4222-4222-42222-4222-4200-1-1-12-1-1-12000000000000000000000000000000000000000000
χ818-88-4-4-4-4-4-844444-4222-422224-2-2-24-2-2-2-2002-1-1-1-2111000000000000000000000000000000000000000000
χ828-8-48-4-4-4-44-844442-4222-4222-24-2-2-24-2-2-200-12-1-11-211000000000000000000000000000000000000000000
χ838-8-4-48-4-4-444-844422-4222-422-2-24-2-2-24-2-200-1-12-111-21000000000000000000000000000000000000000000
χ848-8-4-4-48-4-4444-844222-4222-42-2-2-24-2-2-24-200-1-1-12111-2000000000000000000000000000000000000000000

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