Finite Group Databasebeta

← Group #500201

Character table — Group #500201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222444444442244444444444444442244444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-1-1111111111111-1-1-1-11-11-1-1-11-1-1-1-1-111-1-1
χ61111111111111111-1-11111111111-1-111-1-1-11-11-1-1-11-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11-11111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-1-1-11111111-1-1
χ9111111-1-11-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11-11-1
χ10111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11
χ11111111-1-11-1-11111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-11-11
χ12111111-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ13111111-1-11-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-111-11-1-1111-1-11
χ14111111-1-11-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-111-111-1
χ15111111-1-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-111-1111-1-1-111-1
χ16111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111-111-1-11-1-11
χ1722222222222-2-2-2-222200000000-2-20000-2-200002-20000000000
χ1822222222222-2-2-2-22-2-200000000-2-20000220000-220000000000
χ1922222222-2-2-222-2-2-200000000002-20022000-20-2000200000000
χ2022222222-2-2-222-2-2-200000000002-200-2-2000202000-200000000
χ2122222222-2-2-2-2-222-20000000000-22220000-20-20002000000000
χ2222222222-2-2-2-2-222-20000000000-22-2-20000202000-2000000000
χ23222222-2-22-2-2-2-2-2-222200000000220000-2-20000-220000000000
χ24222222-2-22-2-2-2-2-2-22-2-2000000002200002200002-20000000000
χ25222222-2-2-22222-2-2-20000000000-22002200020-2000-200000000
χ26222222-2-2-22222-2-2-20000000000-2200-2-2000-202000200000000
χ27222222-2-2-222-2-222-200000000002-222000020-2000-2000000000
χ28222222-2-2-222-2-222-200000000002-2-2-20000-2020002000000000
χ292-2-22-22002002-22-2-22-200002i2i−2i−2i0000002-200000000002i−2i0000
χ302-2-22-22002002-22-2-22-20000−2i−2i2i2i0000002-20000000000−2i2i0000
χ312-2-22-22002002-22-2-2-2200002i2i−2i−2i000000-220000000000−2i2i0000
χ322-2-22-22002002-22-2-2-220000−2i−2i2i2i000000-2200000000002i−2i0000
χ332-2-22-2200200-22-22-22-22i2i−2i−2i0000000000-22000000002i−2i000000
χ342-2-22-2200200-22-22-22-2−2i−2i2i2i0000000000-2200000000−2i2i000000
χ352-2-22-2200200-22-22-2-222i2i−2i−2i00000000002-200000000−2i2i000000
χ362-2-22-2200200-22-22-2-22−2i−2i2i2i00000000002-2000000002i−2i000000
χ374444-4-44-400000000002-22-22-22-2000000000000000000000000
χ384444-4-44-40000000000-22-22-22-22000000000000000000000000
χ394444-4-4-4400000000002-22-2-22-22000000000000000000000000
χ404444-4-4-440000000000-22-222-22-2000000000000000000000000
χ414-4-444-40004-400000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ424-4-444-40004-40000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ434-4-444-4000-4400000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ444-4-444-4000-440000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ454-4-44-4400-4004-4-4440000000000000000000000000000000000
χ464-4-44-4400-400-444-440000000000000000000000000000000000
χ4788-8-8000000000000000000000000004i−4i000000000000000000
χ4888-8-800000000000000000000000000−4i4i000000000000000000
χ498-88-80000000000000000000000004i−4i00000000000000000000
χ508-88-8000000000000000000000000−4i4i00000000000000000000

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