Finite Group Databasebeta

← Group #103976

Character table — Group #103976

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ92222222222222-2-2-2-2-222-2-22-2000000000000002200-2-2000000000000
χ102222222222222-2-2-2-2-222-2-22-200000000000000-2-20022000000000000
χ11222222222222-2222-2-2-2-2-2-2-220000000022000000-2-200000000000000
χ12222222222222-2222-2-2-2-2-2-2-2200000000-2-20000002200000000000000
χ13222222222222-2-2-2-222-2-222-2-20000000000000000000022-2-200000000
χ14222222222222-2-2-2-222-2-222-2-200000000000000000000-2-22200000000
χ1522222222-2-2-2-2222-2-2-2-2-2222-200000000000000000000000022-2-20000
χ1622222222-2-2-2-2222-2-2-2-2-2222-2000000000000000000000000-2-2220000
χ1722222222-2-2-2-22-2-2222-2-2-2-222000000000022-2-2000000000000000000
χ1822222222-2-2-2-22-2-2222-2-2-2-2220000000000-2-222000000000000000000
χ1922222222-2-2-2-2-222-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ2022222222-2-2-2-2-222-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ2122222222-2-2-2-2-2-2-22-2-22222-22000000000000000000000000000022-2-2
χ2222222222-2-2-2-2-2-2-22-2-22222-220000000000000000000000000000-2-222
χ23222-2-2-2-2222-2-2-2000002-2002022−2−222−2−20000002i−2i000000000000i2−i2i2−i2
χ24222-2-2-2-2222-2-2-2000002-2002022−2−222−2−2000000−2i2i000000000000−i2i2−i2i2
χ25222-2-2-2-2222-2-2-2000002-20020−2−222−2−2220000002i−2i000000000000−i2i2−i2i2
χ26222-2-2-2-2222-2-2-2000002-20020−2−222−2−222000000−2i2i000000000000i2−i2i2−i2
χ27222-2-2-2-22-2-2222000002-200-20i2i2−i2−i2−i2−i2i2i200000000002-200000000i2−i2−i2i2
χ28222-2-2-2-22-2-2222000002-200-20i2i2−i2−i2−i2−i2i2i20000000000-2200000000−i2i2i2−i2
χ29222-2-2-2-22-2-2222000002-200-20−i2−i2i2i2i2i2−i2−i200000000002-200000000−i2i2i2−i2
χ30222-2-2-2-22-2-2222000002-200-20−i2−i2i2i2i2i2−i2−i20000000000-2200000000i2−i2−i2i2
χ3122-2-222-2-22-22-202-2-200000002i2−i2i2−i2i2−i2i2−i22-200000000000000i2−i2i2−i20000
χ3222-2-222-2-22-22-202-2-200000002i2−i2i2−i2i2−i2i2−i2-2200000000000000−i2i2−i2i20000
χ3322-2-222-2-22-22-202-2-200000002−i2i2−i2i2−i2i2−i2i22-200000000000000−i2i2−i2i20000
χ3422-2-222-2-22-22-202-2-200000002−i2i2−i2i2−i2i2−i2i2-2200000000000000i2−i2i2−i20000
χ3522-2-222-2-2-22-2202-220000000-22−22−2−22−22000000002i−2i000000i2−i2−i2i20000
χ3622-2-222-2-2-22-2202-220000000-22−22−2−22−2200000000−2i2i000000−i2i2i2−i20000
χ3722-2-222-2-2-22-2202-220000000-2−22−222−22−2000000002i−2i000000−i2i2i2−i20000
χ3822-2-222-2-2-22-2202-220000000-2−22−222−22−200000000−2i2i000000i2−i2−i2i20000
χ39444-4-4-4-4444-4-4400000-4400-4000000000000000000000000000000000
χ40444-4-4-4-44-4-444-400000-44004000000000000000000000000000000000
χ4144-44-4-44-44-4-440000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4244-44-4-44-44-4-44000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4344-44-4-44-4-444-40000000000002-2-22-222-2000000000000000000000000
χ4444-44-4-44-4-444-4000000000000-222-22-2-22000000000000000000000000
χ4544-4-444-4-44-44-40-4440000000-400000000000000000000000000000000
χ4644-4-444-4-4-44-440-44-40000000400000000000000000000000000000000
χ474-44-44-44-40000000000004i−4i0000000000002-22i−2i000000000000000000
χ484-44-44-44-40000000000004i−4i000000000000-22−2i2i000000000000000000
χ494-44-44-44-4000000000000−4i4i0000000000002-2−2i2i000000000000000000
χ504-44-44-44-4000000000000−4i4i000000000000-222i−2i000000000000000000
χ514-4-4-4-4444000000004-4000000000000000000000000000022−2200000000
χ524-4-4-4-4444000000004-40000000000000000000000000000−222200000000
χ534-4-4-4-444400000000-440000000000000000000000000022−220000000000
χ544-4-4-4-444400000000-4400000000000000000000000000−22220000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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