Finite Group Databasebeta

← Group #13049512

Character table — Group #13049512

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222222224444444444444444446666888888881212121212121212121212121212121212121212121212121218181818272736363636363636545454108162
order12333333666666333333333666666666226633336666666666666666666666666666644121244121212121212122121264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111-111-1-1
χ4111111111111111111111111111111111-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111111-11-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-11-1
χ611111111111111111111111111111111-11-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-11
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
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-11111-1
χ92222222-12222-12-12222-1-1-1-12222-1-1-1-1-10200-1-1-1-1-1-1-1-100002222-100000000-1-1-1-1-1-1-1-10222000000-1-1-1200-10
χ102222222-12222-12-12222-1-1-1-12222-1-1-1-1-10200-1-1-1-1-1-1-1-100002222-100000000-1-1-1-1-1-1-1-10-2-2-2000000111-20010
χ112222222-12222-12-12222-1-1-1-12222-1-1-1-1-10-200-1-1-1-1-1-1-1-10000-2-2-2-2100000000111111110222000000-1-1-1-20010
χ122222222-12222-12-12222-1-1-1-12222-1-1-1-1-10-200-1-1-1-1-1-1-1-10000-2-2-2-2100000000111111110-2-2-2000000111200-10
χ132222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12000002-1-1-100000000
χ142222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-2222-1-1-12-1-1-12-1-1-1-2111-222-1-1-1-1-1-1-2-2111111-200000-211100000000
χ152222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-22-2-22-1-1-12-1-1-1-21112-1-1-12-2-211111122-1-1-1-1-1-1-200000-211100000000
χ162222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-12-1-1-1-2111-2111-2-2-2111111-2-21111112000002-1-1-100000000
χ17222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122222-12-1-1-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1200000-12-1-100000000
χ18222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122-222-12-1-1-12-1-1-12-1-11-211-2-1-122-1-1-1-111-2-21111-2000001-21100000000
χ19222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-22-2-2-12-1-1-12-1-11-211-12-1-1211-2-21111-1-122-1-1-1-1-2000001-21100000000
χ20222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-1-12-1-11-2111-211-211-2-2111111-2-21111200000-12-1-100000000
χ21222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122222-1-12-1-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1200000-1-12-100000000
χ22222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122-222-1-12-1-1-12-1-1-12-111-21-2-1-1-1-122-1-11111-2-211-20000011-2100000000
χ23222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-22-2-2-1-12-1-1-12-111-21-1-12-121111-2-211-1-1-1-122-1-1-20000011-2100000000
χ24222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-1-1-12-111-2111-21-21111-2-2111111-2-211200000-1-12-100000000
χ25222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122200000-1-1-1200000000
χ26222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-222-1-1-12-1-1-12-1-1-12111-2-2-1-1-1-1-1-122111111-2-2-200000111-200000000
χ27222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-22-2-2-1-1-12-1-1-12111-2-1-1-122111111-2-2-1-1-1-1-1-122-200000111-200000000
χ28222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-12111-2111-2-2111111-2-2111111-2-2200000-1-1-1200000000
χ2922-12222222222-1-1-1-1-1-12222-1-1-1-12222-120-1-1-1-1-1-1-1-1-1-1222200000-1-1-1-1-1-1-1-10000000002-1-12200002-1-10-1-100
χ3022-12222222222-1-1-1-1-1-12222-1-1-1-12222-120-1-1-1-1-1-1-1-1-1-1222200000-1-1-1-1-1-1-1-1000000000-211-2-20000-21101100
χ3122-12222222222-1-1-1-1-1-12222-1-1-1-12222-1-2011-1-1-1-1-1-1-1-1-2-2-2-200000111111110000000002-1-1-2-200002-1-101100
χ3222-12222222222-1-1-1-1-1-12222-1-1-1-12222-1-2011-1-1-1-1-1-1-1-1-2-2-2-20000011111111000000000-211220000-2110-1-100
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
χ352-2-122222-2-2-2-2-21-1-1-1-1-122221111-2-2-2-2100−i3i3-1-1-1-11111000000000−i3i3−i3i3−i3i3−i3i300000000003−32i−2i000003−30−ii00
χ362-2-122222-2-2-2-2-21-1-1-1-1-122221111-2-2-2-2100−i3i3-1-1-1-11111000000000−i3i3−i3i3−i3i3−i3i30000000000−33−2i2i00000−330i−i00
χ372-2-122222-2-2-2-2-21-1-1-1-1-122221111-2-2-2-2100i3−i3-1-1-1-11111000000000i3−i3i3−i3i3−i3i3−i300000000003−3−2i2i000003−30i−i00
χ382-2-122222-2-2-2-2-21-1-1-1-1-122221111-2-2-2-2100i3−i3-1-1-1-11111000000000i3−i3i3−i3i3−i3i3−i30000000000−332i−2i00000−330−ii00
χ394444-2-2-2-24-2-2-2-24-24-2-2-2-21114-2-2-2-2111-20400-2111-211100004-2-2-2-200000000-2-2111111000000000000000000
χ404444-2-2-2-24-2-2-2-24-24-2-2-2-21114-2-2-2-2111-20-400-2111-21110000-422220000000022-1-1-1-1-1-1000000000000000000
χ41444-24-2-2-2-24-2-2-24-2-24-2-21-211-24-2-21-211-204001-2111-2110000-24-2-2-20000000011-2-21111000000000000000000
χ42444-24-2-2-2-24-2-2-24-2-24-2-21-211-24-2-21-211-20-4001-2111-21100002-422200000000-1-122-1-1-1-1000000000000000000
χ43444-2-24-2-2-2-24-2-24-2-2-24-211-21-2-24-211-21-2040011-2111-210000-2-24-2-2000000001111-2-211000000000000000000
χ44444-2-24-2-2-2-24-2-24-2-2-24-211-21-2-24-211-21-20-40011-2111-21000022-42200000000-1-1-1-122-1-1000000000000000000
χ45444-2-2-24-2-2-2-24-24-2-2-2-24111-2-2-2-24111-2-20400111-2111-20000-2-2-24-200000000111111-2-2000000000000000000
χ46444-2-2-24-2-2-2-24-24-2-2-2-24111-2-2-2-24111-2-20-400111-2111-20000222-4200000000-1-1-1-1-1-122000000000000000000
χ4744-24444-24444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111111000000000000000000000000004-2-2000000-21100000
χ4844-24444-24444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100001111111100000000000000000000000000-4220000002-1-100000
χ4944-24-2-2-244-2-2-24-2-2-21114-2-2-2-21114-2-2-2-240-2-2-2111-21114-2-2-200000-2-211111100000000000000000000000000
χ5044-24-2-2-244-2-2-24-2-2-21114-2-2-2-21114-2-2-2-2-4022-2111-2111-42220000022-1-1-1-1-1-100000000000000000000000000
χ5144-2-24-2-24-24-2-24-2-21-211-24-2-21-211-24-2-2-240-2-21-2111-211-24-2-20000011-2-2111100000000000000000000000000
χ5244-2-24-2-24-24-2-24-2-21-211-24-2-21-211-24-2-2-2-40221-2111-2112-42200000-1-122-1-1-1-100000000000000000000000000
χ5344-2-2-24-24-2-24-24-2-211-21-2-24-211-21-2-24-2-240-2-211-2111-21-2-24-2000001111-2-21100000000000000000000000000
χ5444-2-2-24-24-2-24-24-2-211-21-2-24-211-21-2-24-2-2-402211-2111-2122-4200000-1-1-1-122-1-100000000000000000000000000
χ5544-2-2-2-244-2-2-244-2-2111-2-2-2-24111-2-2-2-24-240-2-2111-2111-2-2-2-2400000111111-2-200000000000000000000000000
χ5644-2-2-2-244-2-2-244-2-2111-2-2-2-24111-2-2-2-24-2-4022111-2111-2222-400000-1-1-1-1-1-12200000000000000000000000000
χ574-444444-2-4-4-4-42-4-24444-2-2-2-2-4-4-4-4222220000-2-2-2-222220000000000000000000000000000000000000000000
χ584-444-2-2-24-4222-4-444-2-2-24-2-2-2-4222-4222-400004-2-2-2-42220000000000000000000000000000000000000000000
χ594-444-2-2-2-2-42222-4-24-2-2-2-2111-42222-1-1-120000-21112-1-1-100000000000000000003-33-33-3000000000000000000
χ604-444-2-2-2-2-42222-4-24-2-2-2-2111-42222-1-1-120000-21112-1-1-10000000000000000000-33-33-33000000000000000000
χ614-44-24-2-242-422-4-44-24-2-2-24-2-22-4222-422-40000-24-2-22-4220000000000000000000000000000000000000000000
χ624-44-24-2-2-22-4222-4-2-24-2-21-2112-422-12-1-1200001-211-12-1-1000000000000000003-3003-3-33000000000000000000
χ634-44-24-2-2-22-4222-4-2-24-2-21-2112-422-12-1-1200001-211-12-1-100000000000000000-3300-333-3000000000000000000
χ644-44-2-24-2422-42-4-44-2-24-2-2-24-222-4222-42-40000-2-24-222-420000000000000000000000000000000000000000000
χ654-44-2-24-2-222-422-4-2-2-24-211-2122-42-1-12-12000011-21-1-12-1000000000000000003-3-33003-3000000000000000000
χ664-44-2-24-2-222-422-4-2-2-24-211-2122-42-1-12-12000011-21-1-12-100000000000000000-333-300-33000000000000000000
χ674-44-2-2-244222-4-4-44-2-2-24-2-2-24222-4222-4-40000-2-2-24222-40000000000000000000000000000000000000000000
χ684-44-2-2-24-2222-42-4-2-2-2-24111-2222-4-1-1-1220000111-2-1-1-12000000000000000003-33-3-3300000000000000000000
χ694-44-2-2-24-2222-42-4-2-2-2-24111-2222-4-1-1-1220000111-2-1-1-1200000000000000000-33-333-300000000000000000000
χ704-4-24444-2-4-4-4-4221-2-2-2-2-2-2-2-222222222-100001111-1-1-1-100000000000000000000000000023−230000000−3300000
χ714-4-24444-2-4-4-4-4221-2-2-2-2-2-2-2-222222222-100001111-1-1-1-1000000000000000000000000000−232300000003−300000
χ724-4-24-2-2-24-4222-42-2-21114-2-2-22-1-1-1-4222200−2i32i3-21112-1-1-1000000000−2i32i3i3−i3i3−i3i3−i300000000000000000000000000
χ734-4-24-2-2-24-4222-42-2-21114-2-2-22-1-1-1-42222002i3−2i3-21112-1-1-10000000002i3−2i3−i3i3−i3i3−i3i300000000000000000000000000
χ744-4-2-24-2-242-422-42-21-211-24-2-2-12-1-12-422200−2i32i31-211-12-1-1000000000i3−i3−2i32i3i3−i3i3−i300000000000000000000000000
χ754-4-2-24-2-242-422-42-21-211-24-2-2-12-1-12-4222002i3−2i31-211-12-1-1000000000−i3i32i3−2i3−i3i3−i3i300000000000000000000000000
χ764-4-2-2-24-2422-42-42-211-21-2-24-2-1-12-122-42200−2i32i311-21-1-12-1000000000i3−i3i3−i3−2i32i3i3−i300000000000000000000000000
χ774-4-2-2-24-2422-42-42-211-21-2-24-2-1-12-122-422002i3−2i311-21-1-12-1000000000−i3i3−i3i32i3−2i3−i3i300000000000000000000000000
χ784-4-2-2-2-244222-4-42-2111-2-2-2-24-1-1-12222-4200−2i32i3111-2-1-1-12000000000i3−i3i3−i3i3−i3−2i32i300000000000000000000000000
χ794-4-2-2-2-244222-4-42-2111-2-2-2-24-1-1-12222-42002i3−2i3111-2-1-1-12000000000−i3i3−i3i3−i3i32i3−2i300000000000000000000000000
χ8088-48-4-4-4-48-4-4-4-4-42-4222-4222-4222-4222200002-1-1-12-1-1-10000000000000000000000000000000000000000000
χ8188-4-48-4-4-4-48-4-4-4-422-4222-4222-4222-42220000-12-1-1-12-1-10000000000000000000000000000000000000000000
χ8288-4-4-48-4-4-4-48-4-4-4222-4222-4222-4222-4220000-1-12-1-1-12-10000000000000000000000000000000000000000000
χ8388-4-4-4-48-4-4-4-48-4-42222-4222-4222-4222-420000-1-1-12-1-1-120000000000000000000000000000000000000000000
χ848-8-48-4-4-4-4-8444442-4222-42224-2-2-24-2-2-2-200002-1-1-1-21110000000000000000000000000000000000000000000
χ858-8-4-48-4-4-44-8444422-4222-422-24-2-2-24-2-2-20000-12-1-11-2110000000000000000000000000000000000000000000
χ868-8-4-4-48-4-444-8444222-4222-42-2-24-2-2-24-2-20000-1-12-111-210000000000000000000000000000000000000000000
χ878-8-4-4-4-48-4444-8442222-4222-4-2-2-24-2-2-24-20000-1-1-12111-20000000000000000000000000000000000000000000

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