Finite Group Databasebeta

← Group #142323

Character table — Group #142323

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222444488881616161616161616161616161616161616161616161616163232
order12222244442244444444444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222222222-2-2-2-2000022-2-2000000000000000000
χ1022222222222222-2-2-2-20000-2-222000000000000000000
χ112222222222-2-2-2-22-22-20000000000000000000000002-2
χ122222222222-2-2-2-22-22-2000000000000000000000000-22
χ132222222222-2-2-2-2-22-2200000000000022-2-20000000000
χ142222222222-2-2-2-2-22-22000000000000-2-2220000000000
χ15222222-2-2-2-222-2-22-2-220000000022-2-200000000000000
χ16222222-2-2-2-222-2-22-2-2200000000-2-22200000000000000
χ17222222-2-2-2-222-2-2-222-222-2-20000000000000000000000
χ18222222-2-2-2-222-2-2-222-2-2-2220000000000000000000000
χ19222222-2-2-2-2-2-22222-2-200000000000000002i2i−2i−2i000000
χ20222222-2-2-2-2-2-22222-2-20000000000000000−2i−2i2i2i000000
χ21222222-2-2-2-2-2-222-2-2220000000000000000000022-2-200
χ22222222-2-2-2-2-2-222-2-22200000000000000000000-2-22200
χ232-2-222-222-2-2-222-200000000002i−2i000000002−22−2i2−i2i2−i200
χ242-2-222-222-2-2-222-200000000002i−2i00000000−22−22−i2i2−i2i200
χ252-2-222-222-2-2-222-20000000000−2i2i000000002−22−2−i2i2−i2i200
χ262-2-222-222-2-2-222-20000000000−2i2i00000000−22−22i2−i2i2−i200
χ272-2-222-2-2-2222-22-2000000002-20000000000i2−i2−i2i2i2−i2−i2i200
χ282-2-222-2-2-2222-22-2000000002-20000000000−i2i2i2−i2−i2i2i2−i200
χ292-2-222-2-2-2222-22-200000000-220000000000i2−i2−i2i2−i2i2i2−i200
χ302-2-222-2-2-2222-22-200000000-220000000000−i2i2i2−i2i2−i2−i2i200
χ314444-4-44-44-4000000002-22-20000000000000000000000
χ324444-4-44-44-400000000-22-220000000000000000000000
χ334444-4-4-44-44000000002-2-220000000000000000000000
χ344444-4-4-44-4400000000-222-20000000000000000000000
χ354-4-444-444-4-44-4-44000000000000000000000000000000
χ364-4-444-4-4-444-44-44000000000000000000000000000000
χ374-4-44-444-4-4400000000000000002i−2i2i−2i00000000000000
χ384-4-44-444-4-440000000000000000−2i2i−2i2i00000000000000
χ394-4-44-44-444-400000000000000002i−2i−2i2i00000000000000
χ404-4-44-44-444-40000000000000000−2i2i2i−2i00000000000000
χ4188-8-8000000000000000000000000000022−220000000000
χ4288-8-80000000000000000000000000000−22220000000000
χ438-88-80000000000000000000000000022−22000000000000
χ448-88-800000000000000000000000000−2222000000000000

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