Finite Group Databasebeta

← Group #489488

Character table — Group #489488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112244444444444444888888888888161616161616161616161616161632323232
order12224424444488888888244416161616161616162244444488161616162488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ9111111-1-1-11-11-1-1-1-1111111-1-11111-1-1-1-11-11-11-11-11-111-1-11-11-1
χ10111111-1-1-11-11-1-1-1-1111111-1-11111-1-1-1-1-11-11-11-111-111-1-1-11-11
χ11111111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111-11-11-11-11-1-1-111-11-11
χ12111111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-111-1-1-1111-11-1
χ13111111-1-1-11-11-1-1-1-11111-1-1111111-1-1-1-11-1-111-1-11-11-1-111-111-1
χ14111111-1-1-11-11-1-1-1-11111-1-1111111-1-1-1-1-111-1-111-1-11-1-1111-1-11
χ15111111-1-1-11-11-1-1-1-11111-1-111-1-1-1-111111-1-111-1-11-1111-1-11-1-11
χ16111111-1-1-11-11-1-1-1-11111-1-111-1-1-1-11111-111-1-111-1-1111-1-1-111-1
χ17222222222222-2-2-2-2-2-2-2-222220000000000000000-2-200000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200000000
χ1922222222-2-2-2-222-2-222-2-2000000000000002200-2-20000000000
χ2022222222-2-2-2-222-2-222-2-200000000000000-2-200220000000000
χ2122222222-2-2-2-2-2-222-2-2220000000000002-200-22000000000000
χ2222222222-2-2-2-2-2-222-2-222000000000000-22002-2000000000000
χ23222222-2-22-22-222-2-2-2-2220000000000002200-2-2000000000000
χ24222222-2-22-22-222-2-2-2-222000000000000-2-20022000000000000
χ25222222-2-22-22-2-2-22222-2-2000000000000002-200-220000000000
χ26222222-2-22-22-2-2-22222-2-200000000000000-22002-20000000000
χ27222222-2-2-22-222222-2-2-2-222-2-20000000000000000-2200000000
χ28222222-2-2-22-222222-2-2-2-2-2-22200000000000000002-200000000
χ292222-2-22-22-2-22000000002-2-2222−2−222−2−200000000002−22−20000
χ302222-2-22-22-2-22000000002-2-22−2−222−2−2220000000000−22−220000
χ312222-2-22-22-2-2200000000-222-222−2−222−2−20000000000−22−220000
χ322222-2-22-22-2-2200000000-222-2−2−222−2−22200000000002−22−20000
χ332222-2-2-22-2-222000000002-22-222−2−2−2−22200000000002−2−220000
χ342222-2-2-22-2-222000000002-22-2−2−22222−2−20000000000−222−20000
χ352222-2-2-22-2-22200000000-22-2222−2−2−2−2220000000000−222−20000
χ362222-2-2-22-2-22200000000-22-22−2−22222−2−200000000002−2−220000
χ374444-4-44-4-444-400000000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000000
χ3944-4-44-40000000000004-4000000002i2−2i22i2−2i2000000000000000000
χ4044-4-44-40000000000004-400000000−2i22i2−2i22i2000000000000000000
χ4144-4-44-4000000000000-4400002i2−2i22i2−2i20000000000000000000000
χ4244-4-44-4000000000000-440000−2i22i2−2i22i20000000000000000000000
χ4344-4-4-440000004-400000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4444-4-4-440000004-40000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4544-4-4-44000000-4400000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ4644-4-4-44000000-440000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ478-88-800000000004i2−4i20000000000000000000000000000000000
χ488-88-80000000000−4i24i20000000000000000000000000000000000
χ498-8-8800000000000042−4200000000000000000000000000000000
χ508-8-88000000000000−424200000000000000000000000000000000

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