Finite Group Databasebeta

← Group #487713

Character table — Group #487713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112244444488888888161616161616161616161616161616161616161616163232
order12222222444422444444224444444444448888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111-111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-111-1-111-111-11-1-1-1-1-1-11111-1-1
χ41111111111111111-1-111-1-1-1-1-1-11-1-11-11-1-11111-1-1-1-111
χ5111111111111-1-1111111-1111-11-111-11-1-1-11111-1-1-1-1-1-1
χ6111111111111-1-1111111-1-1-11-1-1-11-1-11-1-1-1-1-1-1-1111111
χ7111111111111-1-111-1-111111-111-1-11-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111-1-111-1-1111-1-1-11-1-1-1-1-1-1-11111111111-1-1
χ9111111-1-11-1-1111-1-1111111-1-1-11-11-1-1-111-111-1-111-1-11-1
χ10111111-1-11-1-1111-1-111111-11-1-1-1-111-1-111-1-1-111-1-111-11
χ11111111-1-11-1-1111-1-1-1-111-11-1111-1-1-1-111-11-1-11111-1-1-11
χ12111111-1-11-1-1111-1-1-1-111-1-1111-1-1-11-111-1111-1-1-1-1111-1
χ13111111-1-11-1-11-1-1-1-11111-11-1-11111-11-1-1-1111-1-1-1-111-11
χ14111111-1-11-1-11-1-1-1-11111-1-11-11-11111-1-1-11-1-11111-1-11-1
χ15111111-1-11-1-11-1-1-1-1-1-11111-11-111-1-111-11-1-1-111-1-1111-1
χ16111111-1-11-1-11-1-1-1-1-1-1111-111-1-11-1111-11-111-1-111-1-1-11
χ17222222222-2-22002-222-2-2000-2000-20020000000000000
χ18222222222-2-22002-2-2-2-2-20002000200-20000000000000
χ1922222222-222-222-2-2002-2000000200-20-2000000000000
χ2022222222-222-2-2-2-2-2002-2000000-200202000000000000
χ2122222222-2-2-2-200-2200-22200020000000-2-20000000000
χ2222222222-2-2-2-200-2200-22-2000-20000000220000000000
χ23222222-2-2222200-2222-2-20002000-200-20000000000000
χ24222222-2-2222200-22-2-2-2-2000-200020020000000000000
χ25222222-2-2-222-2002-200-222000-20000000-220000000000
χ26222222-2-2-222-2002-200-22-2000200000002-20000000000
χ27222222-2-2-2-2-2-22222002-2000000-20020-2000000000000
χ28222222-2-2-2-2-2-2-2-222002-2000000200-202000000000000
χ294444-4-44-400000000000002200-200-2000000000000000
χ304444-4-44-40000000000000-2-2002002000000000000000
χ314444-4-4-4400000000000002-200-2002000000000000000
χ324444-4-4-440000000000000-2200200-2000000000000000
χ334-44-44-40004i−4i000000000000000000000002i−2i2-2000000
χ344-44-44-40004i−4i00000000000000000000000−2i2i-22000000
χ354-44-44-4000−4i4i000000000000000000000002i−2i-22000000
χ364-44-44-4000−4i4i00000000000000000000000−2i2i2-2000000
χ374-44-4-4400400-400000000000000000000000000002i2−2i200
χ384-44-4-4400400-40000000000000000000000000000−2i22i200
χ394-44-4-4400-40040000000000000000000000000022−220000
χ404-44-4-4400-400400000000000000000000000000−22220000
χ4188-8-80000000000004-400000000000000000000000000
χ4288-8-8000000000000-4400000000000000000000000000
χ438-8-88000000004-4000000000000000000000000000000
χ448-8-8800000000-44000000000000000000000000000000

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