Finite Group Databasebeta

← Group #97261

Character table — Group #97261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444422444444444444444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ911111111-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i1-1-11-111-11-1ii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i-11-1-111-11-11ii−i−i−i−iii−i−iii
χ1111111111-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii1-1-11-111-11-1−i−iii−i−iii−i−iii
χ1211111111-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii-11-1-111-11-11−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-111-1-1-1-11-1-1111iiii−i−i−i−i1-11-11-11-1-11−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-111-1-1-1-11-1-1111iiii−i−i−i−i-1111-1-1-111-1−i−iii−i−iiiii−i−i
χ1511111111-1-1-1-1-1-111-1-1-1-11-1-1111−i−i−i−iiiii1-11-11-11-1-11ii−i−i−i−iiiii−i−i
χ1611111111-1-1-1-1-1-111-1-1-1-11-1-1111−i−i−i−iiiii-1111-1-1-111-1ii−i−iii−i−i−i−iii
χ172222222222222222-2-2-2-2-222-2220000000000-200-20000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2000000000020020000000000000000
χ19222222222222-2-2-2-22-22-2-20020000000000220000-2-200000000000000
χ20222222222222-2-2-2-22-22-2-20020000000000-2-200002200000000000000
χ21222222222222-2-2-2-2-22-22200-2000000000000022000-2-2000000000000
χ22222222222222-2-2-2-2-22-22200-20000000000000-2-200022000000000000
χ2322222222-2-2-2-222-2-22-22-2200-200000000000002-2000-22000000000000
χ2422222222-2-2-2-222-2-22-22-2200-20000000000000-220002-2000000000000
χ2522222222-2-2-2-222-2-2-22-22-200200000000002-20000-2200000000000000
χ2622222222-2-2-2-222-2-2-22-22-20020000000000-2200002-200000000000000
χ2722222222-2-2-2-2-2-2222222-222-2-2-20000000000200-20000000000000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-2220000000000-20020000000000000000
χ292-222-2-22-222-2-2-222-2000002i−2i02i−2i00000000000000000000002−22−2i2−i2i2−i2
χ302-222-2-22-222-2-2-222-2000002i−2i02i−2i0000000000000000000000−22−22−i2i2−i2i2
χ312-222-2-22-222-2-2-222-200000−2i2i0−2i2i00000000000000000000002−22−2−i2i2−i2i2
χ322-222-2-22-222-2-2-222-200000−2i2i0−2i2i0000000000000000000000−22−22i2−i2i2−i2
χ332-222-2-22-2-2-2222-22-2000002i−2i0−2i2i0000000000000000000000i2−i2−i2i2−222−2
χ342-222-2-22-2-2-2222-22-2000002i−2i0−2i2i0000000000000000000000−i2i2i2−i22−2−22
χ352-222-2-22-2-2-2222-22-200000−2i2i02i−2i0000000000000000000000i2−i2−i2i22−2−22
χ362-222-2-22-2-2-2222-22-200000−2i2i02i−2i0000000000000000000000−i2i2i2−i2−222−2
χ37444-44-4-4-40000000040-4000000022-2-222-2-20000000000000000000000
χ38444-44-4-4-40000000040-40000000-2-222-2-2220000000000000000000000
χ39444-44-4-4-400000000-40400000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ40444-44-4-4-400000000-4040000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ4144-44-44-4-44-44-4000000000000002-22-22-22-20000000000000000000000
χ4244-44-44-4-44-44-400000000000000-22-22-22-220000000000000000000000
χ4344-44-44-4-4-44-44000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ4444-44-44-4-4-44-4400000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ4544-4-4-4-44400000000040-40000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ4644-4-4-4-44400000000040-4000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ4744-4-4-4-444000000000-4040000002-2-222-2-220000000000000000000000
χ4844-4-4-4-444000000000-404000000-222-2-222-20000000000000000000000
χ494-444-4-44-444-4-44-4-440000000000000000000000000000000000000000
χ504-444-4-44-4-4-444-44-440000000000000000000000000000000000000000
χ514-4-444-4-444-4-44000000000000000000000000000000002-22-200000000
χ524-4-444-4-444-4-4400000000000000000000000000000000-22-2200000000
χ534-4-444-4-44-444-4000000000000000000000000000000002i−2i−2i2i00000000
χ544-4-444-4-44-444-400000000000000000000000000000000−2i2i2i−2i00000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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