Finite Group Databasebeta

← Group #13049552

Character table — Group #13049552

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222444444444444888888888888991818181818181818181818181818181818363636363636363636363636363636363636162
order1233336666333333666666333333666666442224466661212121212121212666666666612121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11-111-1-1111111-1-11-1-1-111-1-1-1-11-11111-1-1-1
χ3111111111111111111111111111111111111-11-1-11-1-1111111-1-111-11-1-1-1-111-1-1-1111-1-111-1
χ4111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11
χ51111111111111111111111111111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11
χ61111111111111111111111111111111111-1-11-11-1111-1-1-1-1-1-1-1-1111-11111-1-111-11-1-1-1-111-1
χ71111111111111111111111111111111111-1-1-1111-1-1-111-1-1-1-111-1-1-1111-1-111111-1-1-111-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ922222-12-12222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-100022200022000022000-12-100-1-1-1-1-1000-1-1000
χ1022222-12-12222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-10002-2-2000220000-2-2000-1-2100-1-111100011000
χ1122222-12-12222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-1000-22-2000-2-20000-2-200012-10011-1-1100011000
χ1222222-12-12222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-1000-2-22000-2-20000220001-21001111-1000-1-1000
χ132222-12-12222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-10020202220000000022-10-12-1-100-1-10-10000-1-10
χ142222-12-12222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-10020-20-22200000000-2-2-101-2-1-10011010000110
χ152222-12-12222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-100-2020-2-2-200000000-2-210-121100-1-1010000110
χ162222-12-12222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-100-20-202-2-20000000022101-21100110-10000-1-10
χ17222-122222-1-12-1-122-122-12-1-1-12-1-1-1-1-12-1-1-12220020-1-10022-1-1-1-1002000-1-1000020-1-1-1-1000
χ18222-122222-1-12-1-122-122-12-1-1-12-1-1-1-1-12-1-1-122-200-20110022-1-11100-2000110000-20-1-111000
χ19222-122222-1-12-1-122-122-12-1-1-12-1-1-1-1-12-1-1-1-2-2200-20-1-100-2-21111002000-1-10000-201111000
χ20222-122222-1-12-1-122-122-12-1-1-12-1-1-1-1-12-1-1-1-2-2-200201100-2-211-1-100-20001100002011-1-1000
χ2122-122222-12-1-122-122-12-1-12-1-1-12-1-1-1-1-12-1-1220200200-1-1-1-12200-1-1020000-1-10002-1-100-1-10
χ2222-122222-12-1-122-122-12-1-12-1-1-12-1-1-1-1-12-1-1220-200-20011-1-12200110-2000011000-2-1-100110
χ2322-122222-12-1-122-122-12-1-12-1-1-12-1-1-1-1-12-1-1-2-20200-200-1-111-2-20011020000-1-1000-21100110
χ2422-122222-12-1-122-122-12-1-12-1-1-12-1-1-1-1-12-1-1-2-20-2002001111-2-200-1-10-200001100021100-1-10
χ252-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-22i−2i0000000002i−2i2i−2i00000000000000002i−2i00000
χ262-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2−2i2i000000000−2i2i−2i2i0000000000000000−2i2i00000
χ272-22-122-2-2-21-12-1-1221-2-21-21-1-12-1-1-111-21112i−2i00000−i3i3002i−2i−ii3−3000000−i3i3000000−ii3−3000
χ282-22-122-2-2-21-12-1-1221-2-21-21-1-12-1-1-111-21112i−2i00000i3−i3002i−2i−ii−33000000i3−i3000000−ii−33000
χ292-22-122-2-2-21-12-1-1221-2-21-21-1-12-1-1-111-2111−2i2i00000−i3i300−2i2ii−i−33000000−i3i3000000i−i−33000
χ302-22-122-2-2-21-12-1-1221-2-21-21-1-12-1-1-111-2111−2i2i00000i3−i300−2i2ii−i3−3000000i3−i3000000i−i3−3000
χ312-2-1222-2-21-2-1-122-12-21-211-2-1-1-12-1-1111-2112i−2i0000000−i3i3−ii2i−2i003−3000000−i3i30000−ii003−30
χ322-2-1222-2-21-2-1-122-12-21-211-2-1-1-12-1-1111-2112i−2i0000000i3−i3−ii2i−2i00−33000000i3−i30000−ii00−330
χ332-2-1222-2-21-2-1-122-12-21-211-2-1-1-12-1-1111-211−2i2i0000000−i3i3i−i−2i2i00−33000000−i3i30000i−i00−330
χ342-2-1222-2-21-2-1-122-12-21-211-2-1-1-12-1-1111-211−2i2i0000000i3−i3i−i−2i2i003−3000000i3−i30000i−i003−30
χ354444-2-2-2-2444-2-2-2-21-2-214-2-2-2-21111-2-21111000040000000000000000-2-2000011000000000
χ364444-2-2-2-2444-2-2-2-21-2-214-2-2-2-21111-2-211110000-40000000000000000220000-1-1000000000
χ37444-24-24-24-2-241-2-2-2-2-2-2-241-21-2111-21-2111000004000000000-2-2000000000000-200011000
χ38444-24-24-24-2-241-2-2-2-2-2-2-241-21-2111-21-211100000-4000000000220000000000002000-1-1000
χ39444-2-24-244-2-2-2-214-214-2-2-2-21-2-21111-2-21110040000-2-20000000000-2000110000000000000
χ40444-2-24-244-2-2-2-214-214-2-2-2-21-2-21111-2-211100-400002200000000002000-1-10000000000000
χ4144-244-24-2-24-2-2-241-241-2-2-2-2-211-211-211-211000400000-2-2000000000-200001100000000000
χ4244-244-24-2-24-2-2-241-241-2-2-2-2-211-211-211-211000-4000002200000000020000-1-100000000000
χ4344-24-24-24-24-214-2-2-2-2-2-2-2141-21-2111-21-21100000040000000000-2-200000000000-20000110
χ4444-24-24-24-24-214-2-2-2-2-2-2-2141-21-2111-21-211000000-40000000000220000000000020000-1-10
χ4544-2-24444-2-21-2-2-2-24-2-241-2-211-2-21111-2-21144000000000-2-2-2-200000000000000001100000
χ4644-2-24444-2-21-2-2-2-24-2-241-2-211-2-21111-2-211-4-400000000022220000000000000000-1-100000
χ474-4444-2-42-4-444-24-2-2-422-4-424-2-2-2-2-2-42222200000000000000000000000000000000000000
χ484-444-242-4-4-44-24-24-22-42-42-4-24-2-2-2-22-4222200000000000000000000000000000000000000
χ494-444-2-222-4-44-2-2-2-2122-1-422-2-2111122-1-1-1-10000000000000000000000000003-3000000000
χ504-444-2-222-4-44-2-2-2-2122-1-422-2-2111122-1-1-1-1000000000000000000000000000-33000000000
χ514-44-24-2-42-42-241-2-2-22222-4-1-21-21112-12-1-1-100000000000000023−230000000000000000−33000
χ524-44-24-2-42-42-241-2-2-22222-4-1-21-21112-12-1-1-1000000000000000−232300000000000000003−3000
χ534-44-2-242-4-42-2-2-214-2-1-422221-2-2111-122-1-1-10000000−2i32i300000000000000i3−i30000000000000
χ544-44-2-242-4-42-2-2-214-2-1-422221-2-2111-122-1-1-100000002i3−2i300000000000000−i3i30000000000000
χ554-4-244-2-422-4-2-2-241-2-4-12222-211-2112-1-12-1-1000000000−2i32i300000000000000i3−i300000000000
χ564-4-244-2-422-4-2-2-241-2-4-12222-211-2112-1-12-1-10000000002i3−2i300000000000000−i3i300000000000
χ574-4-24-242-42-4-214-2-2-22222-1-41-21-211-12-12-1-10000000000000000023−230000000000000000−330
χ584-4-24-242-42-4-214-2-2-22222-1-41-21-211-12-12-1-100000000000000000−232300000000000000003−30
χ594-4-2-244-4-4221-2-2-2-2422-4-12211-2-211-1-122-1-14i−4i000000000−2i2i−2i2i0000000000000000i−i00000
χ604-4-2-244-4-4221-2-2-2-2422-4-12211-2-211-1-122-1-1−4i4i0000000002i−2i2i−2i0000000000000000−ii00000
χ61888-4-4-4-4-48-4-4-422-422-42-4-42222-1-1-1222-1-1-100000000000000000000000000000000000000
χ6288-48-4-4-4-4-48-42-4-422-422-42-422-12-1-122-12-1-100000000000000000000000000000000000000
χ6388-4-48-48-4-4-42-42-42-4-42-42-422-122-1-12-122-1-100000000000000000000000000000000000000
χ6488-4-4-48-48-4-422-42-4-42-4-422-4-1222-1-1-1222-1-100000000000000000000000000000000000000
χ6588-4-4-4-4-4-4-4-4222222222222-1-1-1-15-4-1-1-1-15-400000000000000000000000000000000000000
χ6688-4-4-4-4-4-4-4-4222222222222-1-1-1-1-45-1-1-1-1-4500000000000000000000000000000000000000
χ678-88-4-4-444-84-4-422-42-24-244-2222-1-1-1-2-2-211100000000000000000000000000000000000000
χ688-8-48-4-4444-8-42-4-4224-2-24-2422-12-1-1-2-21-21100000000000000000000000000000000000000
χ698-8-4-48-4-84442-42-42-44-24-24-22-122-1-1-21-2-21100000000000000000000000000000000000000
χ708-8-4-4-484-84422-42-4-4-244-2-24-1222-1-11-2-2-21100000000000000000000000000000000000000
χ718-8-4-4-4-44444222222-2-2-2-2-2-2-1-1-1-15-41111-5400000000000000000000000000000000000000
χ728-8-4-4-4-44444222222-2-2-2-2-2-2-1-1-1-1-4511114-500000000000000000000000000000000000000

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