Finite Group Databasebeta

← Group #13049510

Character table — Group #13049510

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222244444444444444444466666688888888991212121212121212121212121212121212121212121212121818181818363636363636545454545454162
order12333333666666333333333666666666226666333366664466666666666666666666666641212121212121212121244121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-111-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1
χ4111111111111111111111111111111111-111-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111111-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-11-1-111-1
χ611111111111111111111111111111111-11-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11
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
χ922222-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-12-1-1-1002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1200002-1-1-1000000000
χ1022222-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-222-2-22-1-1-12-1-1-1002-1-1-1-211122-1-1-1-1-1-1-2-2111111-20000-2111000000000
χ1122222-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12-22-2-2222-1-1-12-1-1-100-21112-1-1-1-2-211111122-1-1-1-1-1-1-20000-2111000000000
χ1222222-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-2-2-22-1-1-12-1-1-100-2111-2111-2-2111111-2-2111111200002-1-1-1000000000
χ132222-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-12222222-12-1-1-12-1-100-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-120000-12-1-1000000000
χ142222-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-222-2-2-12-1-1-12-1-100-12-1-11-211-1-122-1-1-1-111-2-21111-200001-211000000000
χ152222-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-12-22-2-222-12-1-1-12-1-1001-211-12-1-111-2-21111-1-122-1-1-1-1-200001-211000000000
χ162222-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-12-2-2-2-2-2-2-12-1-1-12-1-1001-2111-21111-2-2111111-2-2111120000-12-1-1000000000
χ172222-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-12222222-1-12-1-1-12-100-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-120000-1-12-1000000000
χ182222-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-122-222-2-2-1-12-1-1-12-100-1-12-111-21-1-1-1-122-1-11111-2-211-2000011-21000000000
χ192222-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-12-22-2-222-1-12-1-1-12-10011-21-1-12-11111-2-211-1-1-1-122-1-1-2000011-21000000000
χ202222-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-12-2-2-2-2-2-2-1-12-1-1-12-10011-2111-211111-2-2111111-2-21120000-1-12-1000000000
χ212222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-1200-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12220000-1-1-12000000000
χ222222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-222-2-2-1-1-12-1-1-1200-1-1-12111-2-1-1-1-1-1-122111111-2-2-20000111-2000000000
χ232222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222-22-2-222-1-1-12-1-1-1200111-2-1-1-12111111-2-2-1-1-1-1-1-122-20000111-2000000000
χ242222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-2-2-2-2-1-1-12-1-1-1200111-2111-2111111-2-2111111-2-220000-1-1-12000000000
χ25222-1222222222-1-12-12-12-12-12-12-12-12-1-10200-1-1-1-1-1-1-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1022-1-10000-1-10200-1-10
χ26222-1222222222-1-12-12-12-12-12-12-12-12-1-10200-1-1-1-1-1-1-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-10-2-2110000110-200110
χ27222-1222222222-1-12-12-12-12-12-12-12-12-1-10-20011-1-1-1-1-1-1-1-1220000-2-2-2-20000000011111111022-1-10000-1-10-200110
χ28222-1222222222-1-12-12-12-12-12-12-12-12-1-10-20011-1-1-1-1-1-1-1-1-2-20000-2-2-2-200000000111111110-2-2110000110200-1-10
χ2922-1222222222-12-1-12-12-12-12-12-12-12-12-120-1-100-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1000000000-1-1220000-1-120-1-1000
χ3022-1222222222-12-1-12-12-12-12-12-12-12-12-120-1-100-1-1-1-1-1-1-1-1-2-222220000-1-1-1-1-1-1-1-100000000011-2-2000011-2011000
χ3122-1222222222-12-1-12-12-12-12-12-12-12-12-1-201100-1-1-1-1-1-1-1-122-2-2-2-2000011111111000000000-1-1220000-1-1-2011000
χ3222-1222222222-12-1-12-12-12-12-12-12-12-12-1-201100-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111111100000000011-2-200001120-1-1000
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
χ352-22-12222-2-2-2-2-21-12-12-12-12-1-21-21-21-2110000−i3i3-1-1-1-111112i−2i0000000000000000−i3i3−i3i3−i3i3−i3i302i−2i−ii0000−ii00003−30
χ362-22-12222-2-2-2-2-21-12-12-12-12-1-21-21-21-2110000−i3i3-1-1-1-11111−2i2i0000000000000000−i3i3−i3i3−i3i3−i3i30−2i2ii−i0000i−i0000−330
χ372-22-12222-2-2-2-2-21-12-12-12-12-1-21-21-21-2110000i3−i3-1-1-1-111112i−2i0000000000000000i3−i3i3−i3i3−i3i3−i302i−2i−ii0000−ii0000−330
χ382-22-12222-2-2-2-2-21-12-12-12-12-1-21-21-21-2110000i3−i3-1-1-1-11111−2i2i0000000000000000i3−i3i3−i3i3−i3i3−i30−2i2ii−i0000i−i00003−30
χ392-2-122222-2-2-2-21-2-1-12-12-12-121-21-21-21-2100−i3i300-1-1-1-111112i−2i00000000−i3i3−i3i3−i3i3−i3i3000000000−ii2i−2i0000−ii003−3000
χ402-2-122222-2-2-2-21-2-1-12-12-12-121-21-21-21-2100−i3i300-1-1-1-11111−2i2i00000000−i3i3−i3i3−i3i3−i3i3000000000i−i−2i2i0000i−i00−33000
χ412-2-122222-2-2-2-21-2-1-12-12-12-121-21-21-21-2100i3−i300-1-1-1-111112i−2i00000000i3−i3i3−i3i3−i3i3−i3000000000−ii2i−2i0000−ii00−33000
χ422-2-122222-2-2-2-21-2-1-12-12-12-121-21-21-21-2100i3−i300-1-1-1-11111−2i2i00000000i3−i3i3−i3i3−i3i3−i3000000000i−i−2i2i0000i−i003−3000
χ43444-24-2-2-24-2-2-24-2-24-2-21-21-214-2-21-21-21-20400-2-2-2111-21110000004-2-2-200000000-2-2111111000000000000000000
χ44444-24-2-2-24-2-2-24-2-24-2-21-21-214-2-21-21-21-20-40022-2111-2111000000-42220000000022-1-1-1-1-1-1000000000000000000
χ45444-2-24-2-2-24-2-24-2-2-214-2-21-21-214-2-21-21-20400-2-21-2111-211000000-24-2-20000000011-2-21111000000000000000000
χ46444-2-24-2-2-24-2-24-2-2-214-2-21-21-214-2-21-21-20-400221-2111-2110000002-42200000000-1-122-1-1-1-1000000000000000000
χ47444-2-2-24-2-2-24-24-2-2-21-214-2-21-21-214-2-21-20400-2-211-2111-21000000-2-24-2000000001111-2-211000000000000000000
χ48444-2-2-24-2-2-24-24-2-2-21-214-2-21-21-214-2-21-20-4002211-2111-2100000022-4200000000-1-1-1-122-1-1000000000000000000
χ49444-2-2-2-24-2-2-244-2-2-21-21-214-2-21-21-214-2-20400-2-2111-2111-2000000-2-2-2400000000111111-2-2000000000000000000
χ50444-2-2-2-24-2-2-244-2-2-21-21-214-2-21-21-214-2-20-40022111-2111-2000000222-400000000-1-1-1-1-1-122000000000000000000
χ5144-244-2-2-24-2-2-2-24-2-241-21-21-2-241-21-21-2-240-2-200-2111-2111004-2-2-20000-2-211111100000000000000000000000000
χ5244-244-2-2-24-2-2-2-24-2-241-21-21-2-241-21-21-2-2-402200-2111-211100-4222000022-1-1-1-1-1-100000000000000000000000000
χ5344-24-24-2-2-24-2-2-24-21-2-241-21-21-2-241-21-2-240-2-2001-2111-21100-24-2-2000011-2-2111100000000000000000000000000
χ5444-24-24-2-2-24-2-2-24-21-2-241-21-21-2-241-21-2-2-4022001-2111-211002-4220000-1-122-1-1-1-100000000000000000000000000
χ5544-24-2-24-2-2-24-2-24-21-21-2-241-21-21-2-241-2-240-2-20011-2111-2100-2-24-200001111-2-21100000000000000000000000000
χ5644-24-2-24-2-2-24-2-24-21-21-2-241-21-21-2-241-2-2-40220011-2111-210022-420000-1-1-1-122-1-100000000000000000000000000
χ5744-24-2-2-24-2-2-24-24-21-21-21-2-241-21-21-2-24-240-2-200111-2111-200-2-2-240000111111-2-200000000000000000000000000
χ5844-24-2-2-24-2-2-24-24-21-21-21-2-241-21-21-2-24-2-402200111-2111-200222-40000-1-1-1-1-1-12200000000000000000000000000
χ5944-2-244444444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100000011111111440000000000000000000000000-2-2-2-20000110000000
χ6044-2-244444444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100000011111111-4-4000000000000000000000000022220000-1-10000000
χ614-4444-2-2-2-4222-4-4444-2-2-2-2-2-2-4-4222222-40000004-2-2-2-422200000000000000000000000000000000000000000000
χ624-444-24-2-22-422-4-44-2-244-2-2-2-222-4-42222-4000000-24-2-22-42200000000000000000000000000000000000000000000
χ634-444-2-24-222-42-4-44-2-2-2-244-2-22222-4-422-4000000-2-24-222-4200000000000000000000000000000000000000000000
χ644-444-2-2-24222-4-4-44-2-2-2-2-2-244222222-4-4-4000000-2-2-24222-400000000000000000000000000000000000000000000
χ654-44-24-2-2-2-4222-42-24-2-21-21-21-422-12-12-120000−2i32i3-21112-1-1-1000000000000000000−2i32i3i3−i3i3−i3i3−i3000000000000000000
χ664-44-24-2-2-2-4222-42-24-2-21-21-21-422-12-12-1200002i3−2i3-21112-1-1-10000000000000000002i3−2i3−i3i3−i3i3−i3i3000000000000000000
χ674-44-2-24-2-22-422-42-2-214-2-21-212-1-422-12-120000−2i32i31-211-12-1-1000000000000000000i3−i3−2i32i3i3−i3i3−i3000000000000000000
χ684-44-2-24-2-22-422-42-2-214-2-21-212-1-422-12-1200002i3−2i31-211-12-1-1000000000000000000−i3i32i3−2i3−i3i3−i3i3000000000000000000
χ694-44-2-2-24-222-42-42-2-21-214-2-212-12-1-422-120000−2i32i311-21-1-12-1000000000000000000i3−i3i3−i3−2i32i3i3−i3000000000000000000
χ704-44-2-2-24-222-42-42-2-21-214-2-212-12-1-422-1200002i3−2i311-21-1-12-1000000000000000000−i3i3−i3i32i3−2i3−i3i3000000000000000000
χ714-44-2-2-2-24222-4-42-2-21-21-214-22-12-12-1-4220000−2i32i3111-2-1-1-12000000000000000000i3−i3i3−i3i3−i3−2i32i3000000000000000000
χ724-44-2-2-2-24222-4-42-2-21-21-214-22-12-12-1-42200002i3−2i3111-2-1-1-12000000000000000000−i3i3−i3i3−i3i32i3−2i3000000000000000000
χ734-4-244-2-2-2-42222-4-2-241-21-21-22-4-12-12-12200−2i32i300-21112-1-1-10000000000−2i32i3i3−i3i3−i3i3−i300000000000000000000000000
χ744-4-244-2-2-2-42222-4-2-241-21-21-22-4-12-12-122002i3−2i300-21112-1-1-100000000002i3−2i3−i3i3−i3i3−i3i300000000000000000000000000
χ754-4-24-24-2-22-4222-4-21-2-241-21-2-122-4-12-12200−2i32i3001-211-12-1-10000000000i3−i3−2i32i3i3−i3i3−i300000000000000000000000000
χ764-4-24-24-2-22-4222-4-21-2-241-21-2-122-4-12-122002i3−2i3001-211-12-1-10000000000−i3i32i3−2i3−i3i3−i3i300000000000000000000000000
χ774-4-24-2-24-222-422-4-21-21-2-241-2-12-122-4-12200−2i32i30011-21-1-12-10000000000i3−i3i3−i3−2i32i3i3−i300000000000000000000000000
χ784-4-24-2-24-222-422-4-21-21-2-241-2-12-122-4-122002i3−2i30011-21-1-12-10000000000−i3i3−i3i32i3−2i3−i3i300000000000000000000000000
χ794-4-24-2-2-24222-42-4-21-21-21-2-24-12-12-122-4200−2i32i300111-2-1-1-120000000000i3−i3i3−i3i3−i3−2i32i300000000000000000000000000
χ804-4-24-2-2-24222-42-4-21-21-21-2-24-12-12-122-42002i3−2i300111-2-1-1-120000000000−i3i3−i3i3−i3i32i3−2i300000000000000000000000000
χ814-4-2-24444-4-4-4-4221-2-2-2-2-2-2-2-222222222-10000001111-1-1-1-14i−4i0000000000000000000000000−2i2i−2i2i0000i−i0000000
χ824-4-2-24444-4-4-4-4221-2-2-2-2-2-2-2-222222222-10000001111-1-1-1-1−4i4i00000000000000000000000002i−2i2i−2i0000−ii0000000
χ8388-4-48-4-4-48-4-4-4-4-42-4-4222222-4-422222220000002-1-1-12-1-1-100000000000000000000000000000000000000000000
χ8488-4-4-48-4-4-48-4-4-4-4222-4-4222222-4-422222000000-12-1-1-12-1-100000000000000000000000000000000000000000000
χ8588-4-4-4-48-4-4-48-4-4-422222-4-4222222-4-4222000000-1-12-1-1-12-100000000000000000000000000000000000000000000
χ8688-4-4-4-4-48-4-4-48-4-42222222-4-4222222-4-42000000-1-1-12-1-1-1200000000000000000000000000000000000000000000
χ878-8-4-48-4-4-4-8444442-4-422222244-2-2-2-2-2-2-20000002-1-1-1-211100000000000000000000000000000000000000000000
χ888-8-4-4-48-4-44-84444222-4-42222-2-244-2-2-2-2-2000000-12-1-11-21100000000000000000000000000000000000000000000
χ898-8-4-4-4-48-444-844422222-4-422-2-2-2-244-2-2-2000000-1-12-111-2100000000000000000000000000000000000000000000
χ908-8-4-4-4-4-48444-8442222222-4-4-2-2-2-2-2-244-2000000-1-1-12111-200000000000000000000000000000000000000000000

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