Finite Group Databasebeta

← Group #13049540

Character table — Group #13049540

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222224444444444444444666888888888812121212121212121212121218181818182727363636363636363636363654545454108108
order123333666633333333666666662663333366666666666666666444121244121212121212121212121222121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-11-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111-11-1-1-1-1-11-1-11-1-1-111-1-11-1-1-11-1
χ4111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-11-1-11-1-1-1-111-11-1-1-11
χ511111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111-1-111
χ711111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11-1-1-111-1-1-1111-11
χ811111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-11-1-1-1-1111-1111-1
χ922222-12-12222-12-1-1-1-12-1-1-1-122-12222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-100200000-10020000-1-102000-1
χ1022222-12-12222-12-1-1-1-12-1-1-1-122-12222-1-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-100-200000100-20000110-20001
χ1122222-12-12222-12-1-1-1-12-1-1-1-122-1-2-2-22-1-1-1-12-1-1-1-1-21-2-21111111100200000-10020000-1-10-20001
χ1222222-12-12222-12-1-1-1-12-1-1-1-122-1-2-2-22-1-1-1-12-1-1-1-1-21-2-21111111100-200000100-200001102000-1
χ132222-12-12222-12-12-1-1-1-12-1-1-12-12222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-10200000-1002000-1-1002000-10
χ142222-12-12222-12-12-1-1-1-12-1-1-12-12222-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-10-200000100-20001100-200010
χ152222-12-12222-12-12-1-1-1-12-1-1-12-12-2-2-2-12-1-1-1-12-1-1-11-211-2-21111110200000-1002000-1-100-200010
χ162222-12-12222-12-12-1-1-1-12-1-1-12-12-2-2-2-12-1-1-1-12-1-1-11-211-2-21111110-200000100-200011002000-10
χ17222-122222-1-122-1-12-1-1-1-12-1-1-1222-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1200-1-12200200-1-1000000-1-100
χ18222-122222-1-122-1-12-1-1-1-12-1-1-1222-1-1-1-12-1-1-1-12-1-122-1-1-1-122-1-1-1-1-20011-2-200-200110000001100
χ19222-122222-1-122-1-12-1-1-1-12-1-1-122-211-1-12-1-1-1-12-1-1-2-21111-2-21111200-1-1-2-200200-1-10000001100
χ20222-122222-1-122-1-12-1-1-1-12-1-1-122-211-1-12-1-1-1-12-1-1-2-21111-2-21111-200112200-20011000000-1-100
χ2122-122222-12-1-1-12222222222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000222220022-1-1-1-1-1-1-1-1-1000000
χ2222-122222-12-1-1-12222222222-1-1-1000-1-1-1-1-1-1-1-1-1-10000000000002-2-22200-2-2-111-1-11111000000
χ2322-122222-12-1-1-12222222222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000-22-2-2-2002-21-1111-1-111000000
χ2422-122222-12-1-1-12222222222-1-1-1000-1-1-1-1-1-1-1-1-1-1000000000000-2-22-2-200-2211-11111-1-1000000
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
χ272-22-122-2-2-21-122-1-12-1-111-2111-2-20−i3i3-1-12-1-111-21100−i3i3−i3i300−i3−i3i3i30003−32i−2i000003−3000000−ii00
χ282-22-122-2-2-21-122-1-12-1-111-2111-2-20−i3i3-1-12-1-111-21100−i3i3−i3i300−i3−i3i3i3000−33−2i2i00000−33000000i−i00
χ292-22-122-2-2-21-122-1-12-1-111-2111-2-20i3−i3-1-12-1-111-21100i3−i3i3−i300i3i3−i3−i30003−3−2i2i000003−3000000i−i00
χ302-22-122-2-2-21-122-1-12-1-111-2111-2-20i3−i3-1-12-1-111-21100i3−i3i3−i300i3i3−i3−i3000−332i−2i00000−33000000−ii00
χ314444-2-2-2-2444-2-2-2-2111-2-21114-2-2444-2-2111-2-2111-2-2-2-2-2-2111111000000000000000000000000
χ324444-2-2-2-2444-2-2-2-2111-2-21114-2-2-4-4-4-2-2111-2-2111222222-1-1-1-1-1-1000000000000000000000000
χ33444-24-24-24-2-24-2-21-211-21-211-24-24-2-2-21-211-21-2114-2-2-211-2-21111000000000000000000000000
χ34444-24-24-24-2-24-2-21-211-21-211-24-2-422-21-211-21-211-4222-1-122-1-1-1-1000000000000000000000000
χ35444-2-24-244-2-2-241-2-2111-2-211-2-244-2-21-2-2111-2-211-2411-2-2-2-21111000000000000000000000000
χ36444-2-24-244-2-2-241-2-2111-2-211-2-24-4221-2-2111-2-2112-4-1-12222-1-1-1-1000000000000000000000000
χ37444-2-2-2-2-24-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-24-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000
χ38444-2-2-2-2-24-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-422111−1−3i32−1+3i32111−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000
χ39444-2-2-2-2-24-2-2-2-2111−1+3i32−1−3i32111−1+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
χ40444-2-2-2-2-24-2-2-2-2111−1+3i32−1−3i32111−1+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
χ4144-244-24-2-24-2-214-2-2-2-24-2-2-2-2-2-21000-21111-2111100000000000000400000-200-2000011000000
χ4244-244-24-2-24-2-214-2-2-2-24-2-2-2-2-2-21000-21111-2111100000000000000-40000020020000-1-1000000
χ4344-24-24-24-24-21-2-24-2-2-2-24-2-2-2-21-20001-21111-21110000000000000400000-200-20001100000000
χ4444-24-24-24-24-21-2-24-2-2-2-24-2-2-2-21-20001-21111-21110000000000000-4000002002000-1-100000000
χ4544-2-24444-2-21-2-2-2-24-2-2-2-24-2-21-2-200011-21111-211000000000000400-2-20000-200110000000000
χ4644-2-24444-2-21-2-2-2-24-2-2-2-24-2-21-2-200011-21111-211000000000000-400220000200-1-10000000000
χ474-4444-2-42-4-444-24-2-2-2-2-42222-4-420004-2-2-2-2-42222000000000000000000000000000000000000
χ484-444-242-4-4-44-24-24-2-2-22-4222-42-4000-24-2-2-22-4222000000000000000000000000000000000000
χ494-444-2-222-4-44-2-2-2-211122-1-1-1-422000-2-211122-1-1-10000003-33-3-33000000000000000000000000
χ504-444-2-222-4-44-2-2-2-211122-1-1-1-422000-2-211122-1-1-1000000-33-333-3000000000000000000000000
χ514-44-24-2-42-42-24-2-21-2112-12-1-12-420−2i32i3-21-2112-12-1-100−2i32i3i3−i300i3i3−i3−i3000000000000000000000000
χ524-44-24-2-42-42-24-2-21-2112-12-1-12-4202i3−2i3-21-2112-12-1-1002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000
χ534-44-2-242-4-42-2-241-2-211-122-1-122-40−2i32i31-2-211-122-1-100i3−i3−2i32i300i3i3−i3−i3000000000000000000000000
χ544-44-2-242-4-42-2-241-2-211-122-1-122-402i3−2i31-2-211-122-1-100−i3i32i3−2i300−i3−i3i3i3000000000000000000000000
χ554-44-2-2-222-42-2-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i322220−2i32i3111−1−3i32−1+3i32-1-1-11+3i321−3i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000
χ564-44-2-2-222-42-2-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i3222202i3−2i3111−1−3i32−1+3i32-1-1-11+3i321−3i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000
χ574-44-2-2-222-42-2-2-2111−1+3i32−1−3i32-1-1-11−3i321+3i322220−2i32i3111−1+3i32−1−3i32-1-1-11−3i321+3i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000
χ584-44-2-2-222-42-2-2-2111−1+3i32−1−3i32-1-1-11−3i321+3i3222202i3−2i3111−1+3i32−1−3i32-1-1-11−3i321+3i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000
χ594-4-2444-4-42-4-2-2-244444-4-4-4-4-4222000-2-2-2-2-222222000000000000000000000000000000000000
χ604-4-244-2-422-4-2-214-2-2-2-2-4222222-1000-211112-1-1-1-100000000000000000000000000003i−3i000000
χ614-4-244-2-422-4-2-214-2-2-2-2-4222222-1000-211112-1-1-1-10000000000000000000000000000−3i3i000000
χ624-4-24-242-42-4-21-2-24-2-2-22-42222-120001-2111-12-1-1-1000000000000000000000000003i−3i00000000
χ634-4-24-242-42-4-21-2-24-2-2-22-42222-120001-2111-12-1-1-100000000000000000000000000−3i3i00000000
χ644-4-2-244-4-4221-2-2-2-24-2-222-422-12200011-211-1-12-1-100000000000000023−230000000−330000000000
χ654-4-2-244-4-4221-2-2-2-24-2-222-422-12200011-211-1-12-1-1000000000000000−232300000003−30000000000
χ6688-48-4-4-4-4-48-422-4-4222-4-4222-42200022-1-1-122-1-1-1000000000000000000000000000000000000
χ6788-4-48-48-4-4-42-42-42-422-42-4222-420002-12-1-12-12-1-1000000000000000000000000000000000000
χ6888-4-4-48-48-4-422-42-4-4222-4-42222-4000-122-1-1-122-1-1000000000000000000000000000000000000
χ6988-4-4-4-4-4-4-4-4222222−1−3i3−1+3i3222−1−3i3−1+3i3222000-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ7088-4-4-4-4-4-4-4-4222222−1+3i3−1−3i3222−1+3i3−1−3i3222000-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ718-8-48-4-4444-8-422-4-422244-2-2-24-2-200022-1-1-1-2-2111000000000000000000000000000000000000
χ728-8-4-48-4-84442-42-42-4224-24-2-2-24-20002-12-1-1-21-211000000000000000000000000000000000000
χ738-8-4-4-484-84422-42-4-422-244-2-2-2-24000-122-1-11-2-211000000000000000000000000000000000000
χ748-8-4-4-4-44444222222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-2000-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ758-8-4-4-4-44444222222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-2000-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000

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