Finite Group Databasebeta

← Group #487724

Character table — Group #487724

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244444442444444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-111-1-11-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1111-11-1-111-11-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-111-1-1-1-1-1-111-1-111-1111-111-111111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11-111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-11111-1-1-1-111
χ9111111-1-1-1-11-11-1-111111111-1-1-1-1-1-111-111-11-1-1-1111-1-111-1-11-1
χ10111111-1-1-1-11-11-1-111111111-1-1-1-1-1-111-11-1-1111-1-1-1-111-1-111-11
χ11111111-1-1-1-11-11-1-111-1-1-1-111-1-1111111-1-111-1-1-111-1-111-1-1111-1
χ12111111-1-1-1-11-11-1-111-1-1-1-111-1-1111111-1-1-11-1111-111-1-111-1-1-11
χ13111111-1-1-1-11-11-1-1-1-111-1-1-1-111-1-11111111-1-1-1-11111-1-1-1-111-11
χ14111111-1-1-1-11-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1111-1-1-11111-1-11-1
χ15111111-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1111-1111-1-1-11-1-11111-1-1-11
χ16111111-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1111-1-11111-1-111-1-1-1-1111-1
χ172222222222-22-2-2-2000022000000222-20000-200-200000000000
χ182222222222-22-2-2-20000-2-2000000-2-22-20000200200000000000
χ1922222222-2-22222-200220000002200-2-20-20-2000000000000000
χ2022222222-2-22222-200-2-2000000-2-200-2-20202000000000000000
χ2122222222-2-2-22-2-22220000-2-2-2-20000-222000000000000000000
χ2222222222-2-2-22-2-22-2-2000022220000-22-2000000000000000000
χ23222222-2-2222-22-220022000000-2-200-2-20-202000000000000000
χ24222222-2-2222-22-2200-2-20000002200-2-2020-2000000000000000
χ25222222-2-222-2-2-22-2220000-2-2220000-22-2000000000000000000
χ26222222-2-222-2-2-22-2-2-2000022-2-20000-222000000000000000000
χ27222222-2-2-2-2-2-2-222000022000000-2-22-20000-200200000000000
χ28222222-2-2-2-2-2-2-2220000-2-2000000222-20000200-200000000000
χ294444-4-444000-40000000000000000000002002-20-20000000000
χ304444-4-444000-4000000000000000000000-200-22020000000000
χ314444-4-4-4-40004000000000000000000000200-220-20000000000
χ324444-4-4-4-40004000000000000000000000-2002-2020000000000
χ3344-4-4004i−4i0000000002i−2i2i−2i2-22i−2i2-22-2000000000000000000000
χ3444-4-4004i−4i0000000002i−2i−2i2i-22−2i2i2-2-22000000000000000000000
χ3544-4-4004i−4i000000000−2i2i2i−2i-22−2i2i-222-2000000000000000000000
χ3644-4-4004i−4i000000000−2i2i−2i2i2-22i−2i-22-22000000000000000000000
χ3744-4-400−4i4i0000000002i−2i2i−2i2-2−2i2i-22-22000000000000000000000
χ3844-4-400−4i4i0000000002i−2i−2i2i-222i−2i-222-2000000000000000000000
χ3944-4-400−4i4i000000000−2i2i2i−2i-222i−2i2-2-22000000000000000000000
χ4044-4-400−4i4i000000000−2i2i−2i2i2-2−2i2i2-22-2000000000000000000000
χ414-4-444-4004i−4i0000000000000000000000000000002-22i−2i000000
χ424-4-444-4004i−4i000000000000000000000000000000-22−2i2i000000
χ434-4-444-400−4i4i0000000000000000000000000000002-2−2i2i000000
χ444-4-444-400−4i4i000000000000000000000000000000-222i−2i000000
χ454-4-44-44000040-400000000000000000000000000000002i2−2i20000
χ464-4-44-44000040-40000000000000000000000000000000−2i22i20000
χ474-4-44-440000-40400000000000000000000000000000000022−2200
χ484-4-44-440000-404000000000000000000000000000000000−222200
χ498-88-8000000000004i−4i000000000000000000000000000000000
χ508-88-800000000000−4i4i000000000000000000000000000000000

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