Finite Group Databasebeta

← Group #11886555

Character table — Group #11886555

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122244223366666612121212444466664444448888222244121212121212121248888886666
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-111-1-11-11111-1-1-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-111-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ6111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1-11-1-11111-1-111
χ7111111-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-111111-1-1111111-1-1
χ8111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-11-111111111-1-1-1-1111111-1-111-1-11111111-11-1-1-111-1-111-1-1-1-1-111-1-11-11-1
χ101111-1-11-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-1-11-1111-1-1-1-111-111-1-1111-1-11
χ111111-1-11-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-111-11-1-1-11111-1-1-111-1-111-111-1
χ121111-1-11-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-11-1111-1-111-1-111-1-1-111-1-1-11-11
χ131111-1-1-1111111111-1-1-1-11111-1-111-1-111111111-11-11-1-111-1-111-1-1-1-1-1-1-111-11-11
χ141111-1-1-1111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-1-1-111-11111-1-1-111-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111-1-1-11111-1-1-11111-1-11-1-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-11-111-1-111-1-111-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ18222222-2-22222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-22-222222222-2-2-2-2000022-2-2-2-222-2-200000000000000000020000000000
χ202222-2-2-2222222222-2-2-2-20000-2-22222-2-2-2-200000000000000000020000000000
χ2122-2-22-2002222-2-2-2-222-2-2000000002i−2i2i−2i0022−2−20000000000000002−2−i2i2−i2i20000
χ2222-2-22-2002222-2-2-2-222-2-2000000002i−2i2i−2i00−2−222000000000000000−22i2−i2i2−i20000
χ2322-2-22-2002222-2-2-2-222-2-200000000−2i2i−2i2i0022−2−20000000000000002−2i2−i2i2−i20000
χ2422-2-22-2002222-2-2-2-222-2-200000000−2i2i−2i2i00−2−222000000000000000−22−i2i2−i2i20000
χ2522-2-2-22002222-2-2-2-2-2-222000000002i−2i−2i2i0022−2−2000000000000000−22−i2i2i2−i20000
χ2622-2-2-22002222-2-2-2-2-2-222000000002i−2i−2i2i00−2−2220000000000000002−2i2−i2−i2i20000
χ2722-2-2-22002222-2-2-2-2-2-22200000000−2i2i2i−2i0022−2−2000000000000000−22i2−i2−i2i20000
χ2822-2-2-22002222-2-2-2-2-2-22200000000−2i2i2i−2i00−2−2220000000000000002−2−i2i2i2−i20000
χ292-2-22000022-2-222-2-200002-22-200000000-222-22-20000002-2002-20000000000000
χ302-2-22000022-2-222-2-200002-2-2200000000-22-22-220000002-200-220000000000000
χ312-2-22000022-2-222-2-20000-222-200000000-22-22-22000000-22002-20000000000000
χ322-2-22000022-2-222-2-20000-22-2200000000-222-22-2000000-2200-220000000000000
χ33444444441-21-21-21-21-21-200221-21-200000000000022020000-1-1-1-1000000000-1-1
χ34444444441-21-21-21-21-21-200-2-21-21-2000000000000-2-20-20000111100000000011
χ3544444444-21-21-21-21-21-212200-21-210000000000220020-1-1-1-100000000000-1-100
χ3644444444-21-21-21-21-21-21-2-200-21-210000000000-2-200-201111000000000001100
χ37444444-4-41-21-21-21-21-21-20022-12-12000000000000-2-2020000-1-1-1-100000000011
χ38444444-4-41-21-21-21-21-21-200-2-2-12-12000000000000220-200001111000000000-1-1
χ39444444-4-4-21-21-21-21-21-2122002-12-10000000000-2-20020-1-1-1-1000000000001100
χ40444444-4-4-21-21-21-21-21-21-2-2002-12-100000000002200-20111100000000000-1-100
χ414444-4-44-41-21-21-21-2-12-1200221-2-120000000000002-20-20000-1-111000000000-11
χ424444-4-44-41-21-21-21-2-12-1200-2-21-2-12000000000000-2202000011-1-10000000001-1
χ434444-4-44-4-21-21-21-212-12-12200-212-100000000002-200-20-1-11100000000000-1100
χ444444-4-44-4-21-21-21-212-12-1-2-200-212-10000000000-22002011-1-1000000000001-100
χ454444-4-4-441-21-21-21-2-12-120022-121-2000000000000-220-20000-1-1110000000001-1
χ464444-4-4-441-21-21-21-2-12-1200-2-2-121-20000000000002-202000011-1-1000000000-11
χ474444-4-4-44-21-21-21-212-12-122002-1-210000000000-2200-20-1-111000000000001-100
χ484444-4-4-44-21-21-21-212-12-1-2-2002-1-2100000000002-2002011-1-100000000000-1100
χ494-44-4000044-4-4-4-44400000000000000000022−22−22220000000000000000000000000
χ504-44-4000044-4-4-4-444000000000000000000−222222−220000000000000000000000000
χ514-4-44000044-4-444-4-400000000000000004-400000000000000000000000000000
χ5288-8-88-8002-42-4-24-242-4-240000000000000000000000000000000000000000000
χ5388-8-88-800-42-424-24-2-424-20000000000000000000000000000000000000000000
χ5488-8-8-88002-42-4-24-24-242-40000000000000000000000000000000000000000000
χ5588-8-8-8800-42-424-24-24-2-420000000000000000000000000000000000000000000
χ568-88-800002-4-24-242-40000000000000000000000000000000000−2i32i300000000000
χ578-88-800002-4-24-242-400000000000000000000000000000000002i3−2i300000000000
χ588-88-80000-424-24-2-42000000000000000000000000000000−2i32i3000000000000000
χ598-88-80000-424-24-2-420000000000000000000000000000002i3−2i3000000000000000
χ608-8-8800002-4-242-4-240000004-4000000000000000000000000-220000000000000
χ618-8-8800002-4-242-4-24000000-440000000000000000000000002-20000000000000
χ628-8-880000-424-2-424-200004-40000000000000000000000-2200000000000000000
χ638-8-880000-424-2-424-20000-4400000000000000000000002-200000000000000000

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