Finite Group Databasebeta

← Group #13049553

Character table — Group #13049553

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222444444444444888888888888991818181818181818181818181818181818363636363636363636363636363636363636162
order12333366663333336666663333336666664422444666612121212121212126666661212121212121212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-1-111-1-1111111-1-11-111-1-1-11-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111-11-11-1-1-1111111-1-111-11-1-111-1-11-111-1-111-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ51111111111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111-1
χ61111111111111111111111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1111-111-1-1-1-11-1-1-1-1-111-1-11
χ71111111111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-111-11-1-1-1-111-1-1-1-11
χ81111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1
χ922222-1-1222222-1-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-10022002222200000000-1-1-1-1-1-1-1002000000-1-10
χ1022222-1-1222222-1-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-1002-200-222-2-200000000-11-1-111100-2000000110
χ1122222-1-1222222-1-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-100-2200-2-2-222000000001-111-1-1100-2000000110
χ1222222-1-1222222-1-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-100-2-2002-2-2-2-200000000111111-1002000000-1-10
χ132222-1222-122-1-122-12-12-1-12-12-1-1-1-1-12-1-1-1-1220202000-1-122-1-100-1-10200-1-10020-1-100-1-1000
χ142222-1222-122-1-122-12-12-1-12-12-1-1-1-1-12-1-1-1-1220-20-20001122-1-100110-2001100-20-1-10011000
χ152222-1222-122-1-122-12-12-1-12-12-1-1-1-1-12-1-1-1-1-2-2020-2000-1-1-2-21100110200-1-100-20110011000
χ162222-1222-122-1-122-12-12-1-12-12-1-1-1-1-12-1-1-1-1-2-20-20200011-2-21100-1-10-2001100201100-1-1000
χ17222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-12220200-1-100-1-122-1-10020-1-1000200-1-1-1-100000
χ18222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-122-20-2001100-1-1221100-2011000-200-1-11100000
χ19222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-1-2-220-200-1-10011-2-2110020-1-1000-200111100000
χ20222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-1-2-2-20200110011-2-2-1-100-201100020011-1-100000
χ2122-1222222-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-100002220000000022220000002-1-1-100-1-1-1-1-1-10
χ2222-1222222-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-100002-2-20000000022-2-2000000-2-11100-1-111110
χ2322-1222222-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-10000-22-200000000-2-222000000-21-110011-1-1110
χ2422-1222222-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-10000-2-2200000000-2-2-2-2000000211-1001111-1-10
χ252-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-22i−2i0000000002i−2i2i−2i000000000000002i−2i0000000
χ262-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2−2i2i000000000−2i2i−2i2i00000000000000−2i2i0000000
χ272-222-12-2-21-22-1-122-1-21-211-2-12-1-1-1-11-211112i−2i0000000−i3i32i−2i−ii003−30000−i3i30000−ii003−3000
χ282-222-12-2-21-22-1-122-1-21-211-2-12-1-1-1-11-211112i−2i0000000i3−i32i−2i−ii00−330000i3−i30000−ii00−33000
χ292-222-12-2-21-22-1-122-1-21-211-2-12-1-1-1-11-21111−2i2i0000000−i3i3−2i2ii−i00−330000−i3i30000i−i00−33000
χ302-222-12-2-21-22-1-122-1-21-211-2-12-1-1-1-11-21111−2i2i0000000i3−i3−2i2ii−i003−30000i3−i30000i−i003−3000
χ312-22-122-21-2-2-12-12-121-21-21-2-1-12-1-1-111-21112i−2i00000−i3i300−ii2i−2i3−30000−i3i3000000−ii3−300000
χ322-22-122-21-2-2-12-12-121-21-21-2-1-12-1-1-111-21112i−2i00000i3−i300−ii2i−2i−330000i3−i3000000−ii−3300000
χ332-22-122-21-2-2-12-12-121-21-21-2-1-12-1-1-111-2111−2i2i00000−i3i300i−i−2i2i−330000−i3i3000000i−i−3300000
χ342-22-122-21-2-2-12-12-121-21-21-2-1-12-1-1-111-2111−2i2i00000i3−i300i−i−2i2i3−30000i3−i3000000i−i3−300000
χ354444-2-2-24-244-2-2-2-21-214-2-2-2-2-21111-2-21111000400000-2-2000000000-200110000000000000
χ364444-2-2-24-244-2-2-2-21-214-2-2-2-2-21111-2-21111000-40000022000000000200-1-10000000000000
χ37444-24-2-2-244-24-2-21-21-2-24-2-2-21-2111-21-21110040000-2-20000000000-2011000000000000000
χ38444-24-2-2-244-24-2-21-21-2-24-2-2-21-2111-21-211100-4000022000000000020-1-1000000000000000
χ39444-2-244-2-24-2-214-2-2-2-2-2-2141-2-21111-2-211144000000000-2-2-2-200000000000000110000000
χ40444-2-244-2-24-2-214-2-2-2-2-2-2141-2-21111-2-2111-4-4000000000222200000000000000-1-10000000
χ4144-244-2-244-2-2-241-2-2-2-2-2-241-211-211-211-2110000004000000000000000000-200-2000000110
χ4244-244-2-244-2-2-241-2-2-2-2-2-241-211-211-211-211000000-40000000000000000002002000000-1-10
χ4344-24-2444-2-2-21-2-24-24-2-21-2-21-21-2111-21-21100000400000000000-2-200000000-20000011000
χ4444-24-2444-2-2-21-2-24-24-2-21-2-21-21-2111-21-21100000-4000000000002200000000200000-1-1000
χ4544-2-2444-24-21-2-2-2-24-241-2-2-211-2-21111-2-211000040000000000-2-2000000000-200001100000
χ4644-2-2444-24-21-2-2-2-24-241-2-2-211-2-21111-2-2110000-400000000002200000000020000-1-100000
χ474-4444-22-4-4-4444-2-2-222-4-4-424-2-2-2-2-2-42222200000000000000000000000000000000000000
χ484-444-2-22-42-44-2-2-2-212-1-4222-2-2111122-1-1-1-1000000000−2i32i3000000000000i3−i30000000000000
χ494-444-2-22-42-44-2-2-2-212-1-4222-2-2111122-1-1-1-10000000002i3−2i3000000000000−i3i30000000000000
χ504-44-24-222-4-4-24-2-21-2-122-422-21-21112-12-1-1-10000000−2i32i3000000000000i3−i3000000000000000
χ514-44-24-222-4-4-24-2-21-2-122-422-21-21112-12-1-1-100000002i3−2i3000000000000−i3i3000000000000000
χ524-44-2-24-422-4-2-214-2-22222-1-41-2-2111-122-1-1-14i−4i000000000−2i2i−2i2i00000000000000i−i0000000
χ534-44-2-24-422-4-2-214-2-22222-1-41-2-2111-122-1-1-1−4i4i0000000002i−2i2i−2i00000000000000−ii0000000
χ544-4-2444-4-4-42-2-24-244-4-422-42-2-2-24-2-2222-42200000000000000000000000000000000000000
χ554-4-244-22-4-42-2-241-2-22222-4-1-211-2112-1-12-1-1000000000000000000000000000000000003i−3i0
χ564-4-244-22-4-42-2-241-2-22222-4-1-211-2112-1-12-1-100000000000000000000000000000000000−3i3i0
χ574-4-24-24-4-422-21-2-24-2-422-1221-21-211-12-12-1-10000000000000000023−2300000000000000−33000
χ584-4-24-24-4-422-21-2-24-2-422-1221-21-211-12-12-1-100000000000000000−2323000000000000003−3000
χ594-4-2-244-42-421-2-2-2-242-4-122211-2-211-1-122-1-100000000000000023−2300000000000000−3300000
χ604-4-2-244-42-421-2-2-2-242-4-122211-2-211-1-122-1-1000000000000000−2323000000000000003−300000
χ61888-4-4-4-4-4-48-4-42-42222-4-42-4222-1-1-1222-1-1-100000000000000000000000000000000000000
χ6288-48-4-4-48-4-4-42-42-42-42-42-4222-12-1-122-12-1-100000000000000000000000000000000000000
χ6388-4-48-4-4-48-42-4-422-42-42-4-422-122-1-12-122-1-100000000000000000000000000000000000000
χ6488-4-4-488-4-4-4222-4-4-4-4-4222-4-1222-1-1-1222-1-100000000000000000000000000000000000000
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
χ678-88-4-4-4444-8-4-42-422-2-244-24222-1-1-1-2-2-211100000000000000000000000000000000000000
χ688-8-48-4-44-844-42-42-424-24-24-222-12-1-1-2-21-21100000000000000000000000000000000000000
χ698-8-4-48-444-842-4-422-4-24-244-22-122-1-1-21-2-21100000000000000000000000000000000000000
χ708-8-4-4-48-8444222-4-4-444-2-2-24-1222-1-11-2-2-21100000000000000000000000000000000000000
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).