Finite Group Databasebeta

← Group #13049520

Character table — Group #13049520

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222222444444444444444444668888888812121212121212121212121212121212121212121212121212121818363636363636363654548181108108
order123333336666663333333336666666662433336666666666666666612121212121212121212121212246666121212122444612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11-1
χ4111111111111111111111111111111111-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11
χ511111111111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-11111-11-1-1-11
χ611111111111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1111-1
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
χ92222222-12222-122222-1-1-1-1-1-1-1-1-12222-120-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10000000000000020000-12-1-12000-10
χ102222222-12222-122222-1-1-1-1-1-1-1-1-12222-120-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000000000-200001-211-200010
χ112222222-12222-122222-1-1-1-1-1-1-1-1-12222-1-20-1-1-1-1-1-1-1-1-2-2-2-21111111110000000000000020000-12-1-1-200010
χ122222222-12222-122222-1-1-1-1-1-1-1-1-12222-1-20-1-1-1-1-1-1-1-1-2-2-2-211111111100000000000000-200001-2112000-10
χ132222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1202-1-1-10000000000
χ142222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-22-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111-20-21110000000000
χ152222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-222-1-1-12-1-1-1-2111-2-2-21111112-1-1-1222-1-1-1-1-1-1-20-21110000000000
χ162222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-2-22-1-1-12-1-1-1-2111-2-2-2111111-2111-2-2-2111111202-1-1-10000000000
χ17222-12-1-12-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-120-12-1-10000000000
χ18222-12-1-12-12-1-122-12-1-12-12-1-1-12-1-1-12-1-122-2-12-1-1-12-1-1-12-1-12-1-122-1-1-1-11-211-211-2-21111-201-2110000000000
χ19222-12-1-12-12-1-122-12-1-12-12-1-1-12-1-1-12-1-12-22-12-1-1-12-1-11-211-211-2-21111-12-1-12-1-122-1-1-1-1-201-2110000000000
χ20222-12-1-12-12-1-122-12-1-12-12-1-1-12-1-1-12-1-12-2-2-12-1-1-12-1-11-211-211-2-211111-211-211-2-2111120-12-1-10000000000
χ21222-1-12-12-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-120-1-12-10000000000
χ22222-1-12-12-1-12-122-1-12-12-1-12-1-1-12-1-1-12-122-2-1-12-1-1-12-1-1-12-12-1-1-1-122-1-111-21-21111-2-211-2011-210000000000
χ23222-1-12-12-1-12-122-1-12-12-1-12-1-1-12-1-1-12-12-22-1-12-1-1-12-111-21-21111-2-211-1-12-12-1-1-1-122-1-1-2011-210000000000
χ24222-1-12-12-1-12-122-1-12-12-1-12-1-1-12-1-1-12-12-2-2-1-12-1-1-12-111-21-21111-2-21111-21-21111-2-21120-1-12-10000000000
χ25222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12220-1-1-120000000000
χ26222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1222-2-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122111-2-2111111-2-2-20111-20000000000
χ27222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-22-1-1-12-1-1-12111-2-2111111-2-2-1-1-122-1-1-1-1-1-122-20111-20000000000
χ28222-1-1-122-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-2-2-1-1-12-1-1-12111-2-2111111-2-2111-2-2111111-2-220-1-1-120000000000
χ2922-12222222222-1-1-1-1-1-122222222-1-1-1-1-102-1-1-1-1-1-1-1-100000000000002222-1-1-1-1-1-1-1-1-10200002-1-1-102000-1
χ3022-12222222222-1-1-1-1-1-122222222-1-1-1-1-102-1-1-1-1-1-1-1-100000000000002222-1-1-1-1-1-1-1-1-10-20000-21110-20001
χ3122-12222222222-1-1-1-1-1-122222222-1-1-1-1-10-2-1-1-1-1-1-1-1-10000000000000-2-2-2-21111111110200002-1-1-10-20001
χ3222-12222222222-1-1-1-1-1-122222222-1-1-1-1-10-2-1-1-1-1-1-1-1-10000000000000-2-2-2-21111111110-20000-211102000-1
χ332-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2002222-2-2-2-2000000000000000000000000000000000000002i−2i00
χ342-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000000000000000000000000000−2i2i00
χ354444-2-2-2-24-2-2-2-244-2-2-2-2-2111-21114-2-2-2-240-2111-21114-2-2-2-2-2-211111100000000000000000000000000000
χ364444-2-2-2-24-2-2-2-244-2-2-2-2-2111-21114-2-2-2-2-40-2111-2111-4222222-1-1-1-1-1-100000000000000000000000000000
χ37444-24-2-2-2-24-2-2-24-24-2-2-21-2111-211-24-2-2-2401-2111-211-24-2-2-211-2-2111100000000000000000000000000000
χ38444-24-2-2-2-24-2-2-24-24-2-2-21-2111-211-24-2-2-2-401-2111-2112-4222-1-122-1-1-1-100000000000000000000000000000
χ39444-2-24-2-2-2-24-2-24-2-24-2-211-2111-21-2-24-2-24011-2111-21-2-24-2-21111-2-21100000000000000000000000000000
χ40444-2-24-2-2-2-24-2-24-2-24-2-211-2111-21-2-24-2-2-4011-2111-2122-422-1-1-1-122-1-100000000000000000000000000000
χ41444-2-2-24-2-2-2-24-24-2-2-24-2111-2111-2-2-2-24-240111-2111-2-2-2-24-2111111-2-200000000000000000000000000000
χ42444-2-2-24-2-2-2-24-24-2-2-24-2111-2111-2-2-2-24-2-40111-2111-2222-42-1-1-1-1-1-12200000000000000000000000000000
χ4344-24444-24444-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21001111111100000000000000000000000000040000-2-211000000
χ4444-24444-24444-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-210011111111000000000000000000000000000-4000022-1-1000000
χ4544-24-2-2-244-2-2-24-2-2111-24-2-2-24-2-2-2-2111-204-2111-211100000000000004-2-2-2-2-2-21111110000000000000000
χ4644-24-2-2-244-2-2-24-2-2111-24-2-2-24-2-2-2-2111-20-4-2111-21110000000000000-4222222-1-1-1-1-1-10000000000000000
χ4744-2-24-2-24-24-2-24-21-211-2-24-2-2-24-2-21-211-2041-2111-2110000000000000-24-2-2-211-2-211110000000000000000
χ4844-2-24-2-24-24-2-24-21-211-2-24-2-2-24-2-21-211-20-41-2111-21100000000000002-4222-1-122-1-1-1-10000000000000000
χ4944-2-2-24-24-2-24-24-211-21-2-2-24-2-2-24-211-21-20411-2111-210000000000000-2-24-2-21111-2-2110000000000000000
χ5044-2-2-24-24-2-24-24-211-21-2-2-24-2-2-24-211-21-20-411-2111-21000000000000022-422-1-1-1-122-1-10000000000000000
χ5144-2-2-2-244-2-2-244-2111-2-2-2-2-24-2-2-24111-2-204111-2111-20000000000000-2-2-24-2111111-2-20000000000000000
χ5244-2-2-2-244-2-2-244-2111-2-2-2-2-24-2-2-24111-2-20-4111-2111-20000000000000222-42-1-1-1-1-1-1220000000000000000
χ534-444444-2-4-4-4-42-44444-2-2-2-2-22222-4-4-4-4200-2-2-2-22222000000000000000000000000000000000000000000
χ544-444-2-2-24-4222-4-44-2-2-244-2-2-2-4222-4222-4004-2-2-2-4222000000000000000000000000000000000000000000
χ554-444-2-2-2-2-42222-44-2-2-2-2-21112-1-1-1-4222200-21112-1-1-100000003-33-33-300000000000000000000000000000
χ564-444-2-2-2-2-42222-44-2-2-2-2-21112-1-1-1-4222200-21112-1-1-10000000-33-33-3300000000000000000000000000000
χ574-44-24-2-242-422-4-4-24-2-24-24-2-22-4222-422-400-24-2-22-422000000000000000000000000000000000000000000
χ584-44-24-2-2-22-4222-4-24-2-2-21-211-12-1-12-4222001-211-12-1-1000003-3003-3-3300000000000000000000000000000
χ594-44-24-2-2-22-4222-4-24-2-2-21-211-12-1-12-4222001-211-12-1-100000-3300-333-300000000000000000000000000000
χ604-44-2-24-2422-42-4-4-2-24-24-2-24-222-4222-42-400-2-24-222-42000000000000000000000000000000000000000000
χ614-44-2-24-2-222-422-4-2-24-2-211-21-1-12-122-4220011-21-1-12-1000003-3-33003-300000000000000000000000000000
χ624-44-2-24-2-222-422-4-2-24-2-211-21-1-12-122-4220011-21-1-12-100000-333-300-3300000000000000000000000000000
χ634-44-2-2-244222-4-4-4-2-2-244-2-2-24222-4222-4-400-2-2-24222-4000000000000000000000000000000000000000000
χ644-44-2-2-24-2222-42-4-2-2-24-2111-2-1-1-12222-4200111-2-1-1-12000003-33-3-330000000000000000000000000000000
χ654-44-2-2-24-2222-42-4-2-2-24-2111-2-1-1-12222-4200111-2-1-1-1200000-33-333-30000000000000000000000000000000
χ664-4-244444-4-4-4-4-42-2-2-2-2-24444-4-4-4-42222200-2-2-2-22222000000000000000000000000000000000000000000
χ674-4-24444-2-4-4-4-422-2-2-2-21-2-2-2-222222222-1001111-1-1-1-100000000000000000000000000000000003i−3i000000
χ684-4-24444-2-4-4-4-422-2-2-2-21-2-2-2-222222222-1001111-1-1-1-10000000000000000000000000000000000−3i3i000000
χ694-4-24-2-2-24-4222-42-2111-24-2-2-2-42222-1-1-1200-21112-1-1-1000000000000000000003i−3i3i−3i3i−3i0000000000000000
χ704-4-24-2-2-24-4222-42-2111-24-2-2-2-42222-1-1-1200-21112-1-1-100000000000000000000−3i3i−3i3i−3i3i0000000000000000
χ714-4-2-24-2-242-422-421-211-2-24-2-22-422-12-1-12001-211-12-1-10000000000000000003i−3i003i−3i−3i3i0000000000000000
χ724-4-2-24-2-242-422-421-211-2-24-2-22-422-12-1-12001-211-12-1-1000000000000000000−3i3i00−3i3i3i−3i0000000000000000
χ734-4-2-2-24-2422-42-4211-21-2-2-24-222-42-1-12-120011-21-1-12-10000000000000000003i−3i−3i3i003i−3i0000000000000000
χ744-4-2-2-24-2422-42-4211-21-2-2-24-222-42-1-12-120011-21-1-12-1000000000000000000−3i3i3i−3i00−3i3i0000000000000000
χ754-4-2-2-2-244222-4-42111-2-2-2-2-24222-4-1-1-12200111-2-1-1-120000000000000000003i−3i3i−3i−3i3i000000000000000000
χ764-4-2-2-2-244222-4-42111-2-2-2-2-24222-4-1-1-12200111-2-1-1-12000000000000000000−3i3i−3i3i3i−3i000000000000000000
χ7788-48-4-4-4-48-4-4-4-4-4-42222-4222-4222-42222002-1-1-12-1-1-1000000000000000000000000000000000000000000
χ7888-4-48-4-4-4-48-4-4-4-42-42222-4222-4222-422200-12-1-1-12-1-1000000000000000000000000000000000000000000
χ7988-4-4-48-4-4-4-48-4-4-422-42222-4222-4222-42200-1-12-1-1-12-1000000000000000000000000000000000000000000
χ8088-4-4-4-48-4-4-4-48-4-4222-42222-4222-4222-4200-1-1-12-1-1-12000000000000000000000000000000000000000000
χ818-8-48-4-4-4-4-844444-42222-42224-2-2-24-2-2-2-2002-1-1-1-2111000000000000000000000000000000000000000000
χ828-8-4-48-4-4-44-844442-42222-422-24-2-2-24-2-2-200-12-1-11-211000000000000000000000000000000000000000000
χ838-8-4-4-48-4-444-844422-42222-42-2-24-2-2-24-2-200-1-12-111-21000000000000000000000000000000000000000000
χ848-8-4-4-4-48-4444-844222-42222-4-2-2-24-2-2-24-200-1-1-12111-2000000000000000000000000000000000000000000

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