Finite Group Databasebeta

← Group #13049539

Character table — Group #13049539

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222224444444444444444666888888888812121212121212121212121218181818182727363636363636363636363654545454108108
order123333666633333333666666662663333366666666666666666224121244666666661212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-1-1-1-11-1-1-11-1
χ3111111111111111111111111111111111111111111111111111-11-1-1-1-1-1-11-11-1-111-1-1-1-11-1-1-11
χ4111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1
χ511111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-11-111-1-1-1-1-1-1111-11
χ711111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-11-11-1-111-1-1-11-1111-1
χ811111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-1-111
χ922222-1-1222-122222-1-122222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000222220022-1-1-1-1-1-1-1-1-1000000
χ1022222-1-1222-122222-1-122222-1-1-1000-1-1-1-1-1-1-1-1-1-10000000000002-2-2-2-2002-2-11-1-111111000000
χ1122222-1-1222-122222-1-122222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000-22-2-2-200-221-111-1-1111000000
χ1222222-1-1222-122222-1-122222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000-2-222200-2-2111111-1-1-1000000
χ132222-1222-1222-1-1-1-12-12-1-1-1-12-122222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-102000000-10200-1-100002000-1
χ142222-1222-1222-1-1-1-12-12-1-1-1-12-122222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-10-200000010-200110000-20001
χ152222-1222-1222-1-1-1-12-12-1-1-1-12-12-2-2-22-1-1-1-12-1-1-1-1-21-2-21111111102000000-10200-1-10000-20001
χ162222-1222-1222-1-1-1-12-12-1-1-1-12-12-2-2-22-1-1-1-12-1-1-1-1-21-2-2111111110-200000010-2001100002000-1
χ17222-1222-1222-12-1-1-1-12-12-1-1-1-122222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-12000000-1020-1-1000002000-10
χ18222-1222-1222-12-1-1-1-12-12-1-1-1-122222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-200000010-201100000-200010
χ19222-1222-1222-12-1-1-1-12-12-1-1-1-122-2-2-2-12-1-1-1-12-1-1-11-211-2-21111112000000-1020-1-100000-200010
χ20222-1222-1222-12-1-1-1-12-12-1-1-1-122-2-2-2-12-1-1-1-12-1-1-11-211-2-2111111-200000010-2011000002000-10
χ2122-1222222-1-1-1-12-1-122-1-12-1-122-12-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1002-1-122000000002-1-100-1-100
χ2222-1222222-1-1-1-12-1-122-1-12-1-122-12-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-100-211-2-200000000-211001100
χ2322-1222222-1-1-1-12-1-122-1-12-1-122-1-211-1-12-1-1-1-12-1-1-2-21111-2-21111002-1-1-2-2000000002-1-1001100
χ2422-1222222-1-1-1-12-1-122-1-12-1-122-1-211-1-12-1-1-1-12-1-1-2-21111-2-2111100-2112200000000-21100-1-100
χ252-22222-2-2-2-222222222-2-2-2-2-2-2-2-200022222-2-2-2-2-2000000000000000002i−2i00000000000002i−2i00
χ262-22222-2-2-2-222222222-2-2-2-2-2-2-2-200022222-2-2-2-2-200000000000000000−2i2i0000000000000−2i2i00
χ272-2-1222-2-2-21-1-1-12-1-12211-211-2-210−i3i3-1-12-1-111-21100−i3i3−i3i300−i3−i3i3i30003−32i−2i0000000003−300−ii00
χ282-2-1222-2-2-21-1-1-12-1-12211-211-2-210−i3i3-1-12-1-111-21100−i3i3−i3i300−i3−i3i3i3000−33−2i2i000000000−3300i−i00
χ292-2-1222-2-2-21-1-1-12-1-12211-211-2-210i3−i3-1-12-1-111-21100i3−i3i3−i300i3i3−i3−i30003−3−2i2i0000000003−300i−i00
χ302-2-1222-2-2-21-1-1-12-1-12211-211-2-210i3−i3-1-12-1-111-21100i3−i3i3−i300i3i3−i3−i3000−332i−2i000000000−3300−ii00
χ314444-2-2-24-24-24-2-2-2-2-214-2-2-2-2-21-2000-21111-2111100000000000004000000-20-20011000000000
χ324444-2-2-24-24-24-2-2-2-2-214-2-2-2-2-21-2000-21111-211110000000000000-400000020200-1-1000000000
χ33444-24-2-2-244-2-24-2-2-21-2-24-2-2-21-2-20001-21111-21110000000000004000000-20-201100000000000
χ34444-24-2-2-244-2-24-2-2-21-2-24-2-2-21-2-20001-21111-2111000000000000-40000002020-1-100000000000
χ35444-2-244-2-244-2-2111-2-2-2-2111-2-24444-2-2111-2-2111-2-2-2-2-2-2111111000000000000000000000000
χ36444-2-244-2-244-2-2111-2-2-2-2111-2-24-4-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000000000000000
χ3744-244-2-244-21-2-24-2-2-2-2-2-24-2-2-2-2100011-21111-211000000000000004-2-20000000000-211000000
χ3844-244-2-244-21-2-24-2-2-2-2-2-24-2-2-2-2100011-21111-21100000000000000-42200000000002-1-1000000
χ3944-24-2444-2-2-2-21-2114-2-21-2114-2-24-2-2-21-211-21-2114-2-2-211-2-21111000000000000000000000000
χ4044-24-2444-2-2-2-21-2114-2-21-2114-2-2-422-21-211-21-211-4222-1-122-1-1-1-1000000000000000000000000
χ4144-2-2444-24-2-21-2-211-241-2-211-24-24-2-21-2-2111-2-211-2411-2-2-2-21111000000000000000000000000
χ4244-2-2444-24-2-21-2-211-241-2-211-24-2-4221-2-2111-2-2112-4-1-12222-1-1-1-1000000000000000000000000
χ4344-2-2-244-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-24-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000
χ4444-2-2-244-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-422111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000
χ4544-2-2-244-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-24-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000
χ4644-2-2-244-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-422111−1+3i32−1−3i32111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000
χ474-4444-22-4-4-4-244444-2-2-4-4-4-4-4222000-2-2-2-2-222222000000000000000000000000000000000000
χ484-444-24-4-42-444-2-2-2-24-2-42222-42-40004-2-2-2-2-42222000000000000000000000000000000000000
χ494-444-2-22-42-4-24-2-2-2-2-21-422222-12000-211112-1-1-1-100000000000000000000000003-3000000000
χ504-444-2-22-42-4-24-2-2-2-2-21-422222-12000-211112-1-1-1-10000000000000000000000000-33000000000
χ514-44-244-42-4-44-24-2-2-2-242-42222-4-4000-24-2-2-22-4222000000000000000000000000000000000000
χ524-44-24-222-4-4-2-24-2-2-21-22-4222-1220001-2111-12-1-1-1000000000000000000000003-300000000000
χ534-44-24-222-4-4-2-24-2-2-21-22-4222-1220001-2111-12-1-1-100000000000000000000000-3300000000000
χ544-44-2-24-422-44-2-2111-2-222-1-1-122-4000-2-211122-1-1-10000003-33-3-33000000000000000000000000
χ554-44-2-24-422-44-2-2111-2-222-1-1-122-4000-2-211122-1-1-1000000-33-333-3000000000000000000000000
χ564-4-244-22-4-421-2-24-2-2-2-222-42222-100011-211-1-12-1-100000000000000023−2300000000000−33000000
χ574-4-244-22-4-421-2-24-2-2-2-222-42222-100011-211-1-12-1-1000000000000000−2323000000000003−3000000
χ584-4-24-24-4-422-2-21-2114-22-12-1-1-4220−2i32i3-21-2112-12-1-100−2i32i3i3−i300i3i3−i3−i3000000000000000000000000
χ594-4-24-24-4-422-2-21-2114-22-12-1-1-42202i3−2i3-21-2112-12-1-1002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000
χ604-4-2-244-42-42-21-2-211-24-122-1-12-420−2i32i31-2-211-122-1-100i3−i3−2i32i300i3i3−i3−i3000000000000000000000000
χ614-4-2-244-42-42-21-2-211-24-122-1-12-4202i3−2i31-2-211-122-1-100−i3i32i3−2i300−i3−i3i3i3000000000000000000000000
χ624-4-2-2-24-4222-2111−1−3i32−1+3i32-2-2-1-1-11+3i321−3i322220−2i32i3111−1−3i32−1+3i32-1-1-11+3i321−3i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000
χ634-4-2-2-24-4222-2111−1−3i32−1+3i32-2-2-1-1-11+3i321−3i3222202i3−2i3111−1−3i32−1+3i32-1-1-11+3i321−3i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000
χ644-4-2-2-24-4222-2111−1+3i32−1−3i32-2-2-1-1-11−3i321+3i322220−2i32i3111−1+3i32−1−3i32-1-1-11−3i321+3i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000
χ654-4-2-2-24-4222-2111−1+3i32−1−3i32-2-2-1-1-11−3i321+3i3222202i3−2i3111−1+3i32−1−3i32-1-1-11−3i321+3i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000
χ66888-4-4-4-4-4-48-4-4-422222-4-422222-400022-1-1-122-1-1-1000000000000000000000000000000000000
χ6788-48-4-4-48-4-42-42-422-42-42-422-4220002-12-1-12-12-1-1000000000000000000000000000000000000
χ6888-4-48-4-4-48-422-4-4222-42-4-4222-42000-122-1-1-122-1-1000000000000000000000000000000000000
χ6988-4-4-4-4-4-4-4-42222−1−3i3−1+3i322222−1−3i3−1+3i3222000-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ7088-4-4-4-4-4-4-4-42222−1+3i3−1−3i322222−1+3i3−1−3i3222000-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ718-88-4-4-4444-8-4-4-42222244-2-2-2-2-2400022-1-1-1-2-2111000000000000000000000000000000000000
χ728-8-48-4-44-8442-42-422-424-24-2-24-2-20002-12-1-1-21-211000000000000000000000000000000000000
χ738-8-4-48-444-8422-4-4222-4-244-2-2-24-2000-122-1-11-2-211000000000000000000000000000000000000
χ748-8-4-4-4-444442222−1−3i3−1+3i322-2-2-21+3i31−3i3-2-2-2000-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ758-8-4-4-4-444442222−1+3i3−1−3i322-2-2-21−3i31+3i3-2-2-2000-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000

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