Finite Group Databasebeta

← Group #126262

Character table — Group #126262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111122228888881616161616161616161616161616161616161616161616163232
order12222222222244444444444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ92222222222222-2-22-2-2220000-2-2000000000000000000
χ102222222222222-2-22-2-2-2-2000022000000000000000000
χ11222222222222-22-2-22-200220000-2-20000000000000000
χ12222222222222-22-2-22-200-2-20000220000000000000000
χ13222222222222-2-22-2-220000220000-2-200000000000000
χ14222222222222-2-22-2-220000-2-200002200000000000000
χ15222-22-2-2-222-2-2200-2000000002-2000022−2−222−2−2000000
χ16222-22-2-2-222-2-2200-2000000002-20000−2−222−2−222000000
χ17222-22-2-2-222-2-2200-200000000-22000022−2−2−2−222000000
χ18222-22-2-2-222-2-2200-200000000-220000−2−22222−2−2000000
χ1922-22-22-2-2-222-20-20020002i−2i000000002−22−20000i2i2−i2−i200
χ2022-22-22-2-2-222-20-20020002i−2i00000000−22−220000−i2−i2i2i200
χ2122-22-22-2-2-222-20-2002000−2i2i000000002−22−20000−i2−i2i2i200
χ2222-22-22-2-2-222-20-2002000−2i2i00000000−22−220000i2i2−i2−i200
χ2322-2-2-2-2222-22-200200-200000000002i−2i00002−22−2i2−i2i2−i200
χ2422-2-2-2-2222-22-200200-200000000002i−2i0000−22−22−i2i2−i2i200
χ2522-2-2-2-2222-22-200200-20000000000−2i2i00002−22−2−i2i2−i2i200
χ2622-2-2-2-2222-22-200200-20000000000−2i2i0000−22−22i2−i2i2−i200
χ2744444444-4-4-4-40000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000-22
χ29444-44-4-4-444-4-4-40040000000000000000000000000000
χ30444-44-4-4-4-4-444000000000000000000000000002-2-2200
χ31444-44-4-4-4-4-44400000000000000000000000000-222-200
χ3244-44-44-4-44-4-4400000000000000000000002-2-22000000
χ3344-44-44-4-44-4-440000000000000000000000-222-2000000
χ3444-44-44-4-4-444-40400-4000000000000000000000000000
χ3544-4-4-4-4444-44-400-400400000000000000000000000000
χ3644-4-4-4-444-44-440000000000000000002-2-220000000000
χ3744-4-4-4-444-44-44000000000000000000-222-20000000000
χ384-4-444-4-4400000000002i−2i002-2002i−2i0000000000000000
χ394-4-444-4-4400000000002i−2i00-2200−2i2i0000000000000000
χ404-4-444-4-440000000000−2i2i002-200−2i2i0000000000000000
χ414-4-444-4-440000000000−2i2i00-22002i−2i0000000000000000
χ428-888-8-88-8000000000000000000000000000000000000
χ438-88-8-88-88000000000000000000000000000000000000
χ448-8-8-8888-8000000000000000000000000000000000000

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