Finite Group Databasebeta

← Group #13049511

Character table — Group #13049511

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222244444444444444444466666688888888991212121212121212121212121212121212121212121212121818181818363636363636545454545454162
order1233333366666633333333366666666624661212333366664466666666666612121212121212121212121221212121266661212246612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-111-1
χ4111111111111111111111111111111111-111-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ511111111111111111111111111111111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1111-111-1-1-1
χ611111111111111111111111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ711111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1
χ92222222-12222-12-1-1-1-1-122222222-1-1-1-1-10200-1-1-1-1-1-1-1-1-1-1220000000000002222-1-1-1-1-1-1-1-10-1-1220000-1-120-1-1000
χ102222222-12222-12-1-1-1-1-122222222-1-1-1-1-10200-1-1-1-1-1-1-1-1-1-1-2-20000000000002222-1-1-1-1-1-1-1-1011-2-2000011-2011000
χ112222222-12222-12-1-1-1-1-122222222-1-1-1-1-10-20011-1-1-1-1-1-1-1-122000000000000-2-2-2-2111111110-1-1220000-1-1-2011000
χ122222222-12222-12-1-1-1-1-122222222-1-1-1-1-10-20011-1-1-1-1-1-1-1-1-2-2000000000000-2-2-2-211111111011-2-200001120-1-1000
χ132222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122222222-1-1-12-1-1-1002-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1200002-1-1-1000000000
χ142222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-222-2-22-1-1-12-1-1-1002-1-1-122-1-1-1-1-1-1-2111-2-2111111-20000-2111000000000
χ152222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-22-2-2222-1-1-12-1-1-100-2111-2-21111112-1-1-122-1-1-1-1-1-1-20000-2111000000000
χ162222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-2-22-1-1-12-1-1-100-2111-2-2111111-2111-2-2111111200002-1-1-1000000000
χ17222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12222222-12-1-1-12-1-100-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-120000-12-1-1000000000
χ18222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122-222-2-2-12-1-1-12-1-100-12-1-1-1-122-1-1-1-11-21111-2-21111-200001-211000000000
χ19222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-22-2-222-12-1-1-12-1-1001-21111-2-21111-12-1-1-1-122-1-1-1-1-200001-211000000000
χ20222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-2-2-2-2-2-2-12-1-1-12-1-1001-21111-2-211111-21111-2-2111120000-12-1-1000000000
χ21222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12222222-1-12-1-1-12-100-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-120000-1-12-1000000000
χ22222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122-222-2-2-1-12-1-1-12-100-1-12-1-1-1-1-122-1-111-211111-2-211-2000011-21000000000
χ23222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-22-2-222-1-12-1-1-12-10011-211111-2-211-1-12-1-1-1-1-122-1-1-2000011-21000000000
χ24222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-2-2-2-2-2-2-1-12-1-1-12-10011-211111-2-21111-211111-2-21120000-1-12-1000000000
χ25222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122222222-1-1-12-1-1-1200-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12220000-1-1-12000000000
χ26222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-222-2-2-1-1-12-1-1-1200-1-1-12-1-1-1-1-1-122111-2111111-2-2-20000111-2000000000
χ27222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-22-2-222-1-1-12-1-1-1200111-2111111-2-2-1-1-12-1-1-1-1-1-122-20000111-2000000000
χ28222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-2-2-1-1-12-1-1-1200111-2111111-2-2111-2111111-2-220000-1-1-12000000000
χ2922-12222222222-1-12222-1-1-1-1-1-1-1-12222-120-1-100-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000022-1-10000-1-10200-1-10
χ3022-12222222222-1-12222-1-1-1-1-1-1-1-12222-120-1-100-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-10000000000000-2-2110000110-200110
χ3122-12222222222-1-12222-1-1-1-1-1-1-1-12222-1-201100-1-1-1-1-1-1-1-122-2-2-2-211111111000000000000022-1-10000-1-10-200110
χ3222-12222222222-1-12222-1-1-1-1-1-1-1-12222-1-201100-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111110000000000000-2-2110000110200-1-10
χ332-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002222-2-2-2-22i−2i00000000000000000000000002i−2i2i−2i00002i−2i0000000
χ342-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002222-2-2-2-2−2i2i0000000000000000000000000−2i2i−2i2i0000−2i2i0000000
χ352-222222-1-2-2-2-21-2-1-1-1-1-12222-2-2-2-21111100003−3-1-1-1-111112i−2i00000000000000003−33−33−33−30−ii2i−2i0000−ii00−i3i3000
χ362-222222-1-2-2-2-21-2-1-1-1-1-12222-2-2-2-21111100003−3-1-1-1-11111−2i2i00000000000000003−33−33−33−30i−i−2i2i0000i−i00i3−i3000
χ372-222222-1-2-2-2-21-2-1-1-1-1-12222-2-2-2-2111110000−33-1-1-1-111112i−2i0000000000000000−33−33−33−330−ii2i−2i0000−ii00i3−i3000
χ382-222222-1-2-2-2-21-2-1-1-1-1-12222-2-2-2-2111110000−33-1-1-1-11111−2i2i0000000000000000−33−33−33−330i−i−2i2i0000i−i00−i3i3000
χ392-2-122222-2-2-2-2-21-12222-1-1-1-11111-2-2-2-2100−i3i300-1-1-1-111112i−2i0000−i3i3−i3i3−i3i3−i3i300000000000002i−2i−ii0000−ii00003−30
χ402-2-122222-2-2-2-2-21-12222-1-1-1-11111-2-2-2-2100−i3i300-1-1-1-11111−2i2i0000−i3i3−i3i3−i3i3−i3i30000000000000−2i2ii−i0000i−i0000−330
χ412-2-122222-2-2-2-2-21-12222-1-1-1-11111-2-2-2-2100i3−i300-1-1-1-111112i−2i0000i3−i3i3−i3i3−i3i3−i300000000000002i−2i−ii0000−ii0000−330
χ422-2-122222-2-2-2-2-21-12222-1-1-1-11111-2-2-2-2100i3−i300-1-1-1-11111−2i2i0000i3−i3i3−i3i3−i3i3−i30000000000000−2i2ii−i0000i−i00003−30
χ434444-2-2-2-24-2-2-2-24-2-21114-2-2-24-2-2-2-2111-20400-2-2-2111-2111000000000000004-2-2-2-2-2111111000000000000000000
χ444444-2-2-2-24-2-2-2-24-2-21114-2-2-24-2-2-2-2111-20-40022-2111-211100000000000000-422222-1-1-1-1-1-1000000000000000000
χ45444-24-2-2-2-24-2-2-24-21-211-24-2-2-24-2-21-211-20400-2-21-2111-21100000000000000-24-2-211-2-21111000000000000000000
χ46444-24-2-2-2-24-2-2-24-21-211-24-2-2-24-2-21-211-20-400221-2111-211000000000000002-422-1-122-1-1-1-1000000000000000000
χ47444-2-24-2-2-2-24-2-24-211-21-2-24-2-2-24-211-21-20400-2-211-2111-2100000000000000-2-24-21111-2-211000000000000000000
χ48444-2-24-2-2-2-24-2-24-211-21-2-24-2-2-24-211-21-20-4002211-2111-210000000000000022-42-1-1-1-122-1-1000000000000000000
χ49444-2-2-24-2-2-2-24-24-2111-2-2-2-24-2-2-24111-2-20400-2-2111-2111-200000000000000-2-2-24111111-2-2000000000000000000
χ50444-2-2-24-2-2-2-24-24-2111-2-2-2-24-2-2-24111-2-20-40022111-2111-200000000000000222-4-1-1-1-1-1-122000000000000000000
χ5144-24444-24444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100000011111111440000000000000000000000000-2-2-2-20000110000000
χ5244-24444-24444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100000011111111-4-4000000000000000000000000022220000-1-10000000
χ5344-24-2-2-244-2-2-24-2-24-2-2-2-2111-21114-2-2-2-240-2-200-2111-2111004-2-2-2-2-2111111000000000000000000000000000000
χ5444-24-2-2-244-2-2-24-2-24-2-2-2-2111-21114-2-2-2-2-402200-2111-211100-422222-1-1-1-1-1-1000000000000000000000000000000
χ5544-2-24-2-24-24-2-24-2-2-24-2-21-2111-211-24-2-2-240-2-2001-2111-21100-24-2-211-2-21111000000000000000000000000000000
χ5644-2-24-2-24-24-2-24-2-2-24-2-21-2111-211-24-2-2-2-4022001-2111-211002-422-1-122-1-1-1-1000000000000000000000000000000
χ5744-2-2-24-24-2-24-24-2-2-2-24-211-2111-21-2-24-2-240-2-20011-2111-2100-2-24-21111-2-211000000000000000000000000000000
χ5844-2-2-24-24-2-24-24-2-2-2-24-211-2111-21-2-24-2-2-40220011-2111-210022-42-1-1-1-122-1-1000000000000000000000000000000
χ5944-2-2-2-244-2-2-244-2-2-2-2-24111-2111-2-2-2-24-240-2-200111-2111-200-2-2-24111111-2-2000000000000000000000000000000
χ6044-2-2-2-244-2-2-244-2-2-2-2-24111-2111-2-2-2-24-2-402200111-2111-200222-4-1-1-1-1-1-122000000000000000000000000000000
χ614-444-2-2-24-4222-4-444-2-2-24-2-2-2-4222-4222-40000004-2-2-2-422200000000000000000000000000000000000000000000
χ624-444-2-2-2-2-42222-4-2-21114-2-2-2-42222-1-1-12000023−23-21112-1-1-100000000000000000023−23−33−33−33000000000000000000
χ634-444-2-2-2-2-42222-4-2-21114-2-2-2-42222-1-1-120000−2323-21112-1-1-1000000000000000000−23233−33−33−3000000000000000000
χ644-44-24-2-242-422-4-44-24-2-2-24-2-22-4222-422-4000000-24-2-22-42200000000000000000000000000000000000000000000
χ654-44-24-2-2-22-4222-4-21-211-24-2-22-422-12-1-12000023−231-211-12-1-1000000000000000000−3323−23−33−33000000000000000000
χ664-44-24-2-2-22-4222-4-21-211-24-2-22-422-12-1-120000−23231-211-12-1-10000000000000000003−3−23233−33−3000000000000000000
χ674-44-2-24-2422-42-4-44-2-24-2-2-24-222-4222-42-4000000-2-24-222-4200000000000000000000000000000000000000000000
χ684-44-2-24-2-222-422-4-211-21-2-24-222-42-1-12-12000023−2311-21-1-12-1000000000000000000−33−3323−23−33000000000000000000
χ694-44-2-24-2-222-422-4-211-21-2-24-222-42-1-12-120000−232311-21-1-12-10000000000000000003−33−3−23233−3000000000000000000
χ704-44-2-2-244222-4-4-44-2-2-24-2-2-24222-4222-4-4000000-2-2-24222-400000000000000000000000000000000000000000000
χ714-44-2-2-24-2222-42-4-2111-2-2-2-24222-4-1-1-122000023−23111-2-1-1-12000000000000000000−33−33−3323−23000000000000000000
χ724-44-2-2-24-2222-42-4-2111-2-2-2-24222-4-1-1-1220000−2323111-2-1-1-120000000000000000003−33−33−3−2323000000000000000000
χ734-4-24444-2-4-4-4-4221-2-2-2-2-2-2-2-222222222-10000001111-1-1-1-14i−4i0000000000000000000000000−2i2i−2i2i0000i−i0000000
χ744-4-24444-2-4-4-4-4221-2-2-2-2-2-2-2-222222222-10000001111-1-1-1-1−4i4i00000000000000000000000002i−2i2i−2i0000−ii0000000
χ754-4-24-2-2-24-4222-42-24-2-2-2-21112-1-1-1-4222200−2i32i300-21112-1-1-1000000−2i32i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ764-4-24-2-2-24-4222-42-24-2-2-2-21112-1-1-1-42222002i3−2i300-21112-1-1-10000002i3−2i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ774-4-2-24-2-242-422-42-2-24-2-21-211-12-1-12-422200−2i32i3001-211-12-1-1000000i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000
χ784-4-2-24-2-242-422-42-2-24-2-21-211-12-1-12-4222002i3−2i3001-211-12-1-1000000−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000
χ794-4-2-2-24-2422-42-42-2-2-24-211-21-1-12-122-42200−2i32i30011-21-1-12-1000000i3−i3i3−i3−2i32i3i3−i3000000000000000000000000000000
χ804-4-2-2-24-2422-42-42-2-2-24-211-21-1-12-122-422002i3−2i30011-21-1-12-1000000−i3i3−i3i32i3−2i3−i3i3000000000000000000000000000000
χ814-4-2-2-2-244222-4-42-2-2-2-24111-2-1-1-12222-4200−2i32i300111-2-1-1-12000000i3−i3i3−i3i3−i3−2i32i3000000000000000000000000000000
χ824-4-2-2-2-244222-4-42-2-2-2-24111-2-1-1-12222-42002i3−2i300111-2-1-1-12000000−i3i3−i3i3−i3i32i3−2i3000000000000000000000000000000
χ8388-48-4-4-4-48-4-4-4-4-42-4222-4222-4222-422220000002-1-1-12-1-1-100000000000000000000000000000000000000000000
χ8488-4-48-4-4-4-48-4-4-4-422-4222-4222-4222-4222000000-12-1-1-12-1-100000000000000000000000000000000000000000000
χ8588-4-4-48-4-4-4-48-4-4-4222-4222-4222-4222-422000000-1-12-1-1-12-100000000000000000000000000000000000000000000
χ8688-4-4-4-48-4-4-4-48-4-42222-4222-4222-4222-42000000-1-1-12-1-1-1200000000000000000000000000000000000000000000
χ878-8-48-4-4-4-4-8444442-4222-42224-2-2-24-2-2-2-20000002-1-1-1-211100000000000000000000000000000000000000000000
χ888-8-4-48-4-4-44-8444422-4222-422-24-2-2-24-2-2-2000000-12-1-11-21100000000000000000000000000000000000000000000
χ898-8-4-4-48-4-444-8444222-4222-42-2-24-2-2-24-2-2000000-1-12-111-2100000000000000000000000000000000000000000000
χ908-8-4-4-4-48-4444-8442222-4222-4-2-2-24-2-2-24-2000000-1-1-12111-200000000000000000000000000000000000000000000

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