Finite Group Databasebeta

← Group #487856

Character table — Group #487856

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244444442444444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-111111111-1-1
χ5111111111111111-1-111-1-1-1-1-1-111-1-1111-111-111-111111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-11-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-111-1-1-1-1-1-11111-1111-11-111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-1-11-11111-1-1-1-111
χ9111111-1-11-1-1-11-1-11111-1-111-1-1-1-11111-1-111-1-111-111-1-111-1-11-1
χ10111111-1-11-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-11111-1-111-1-111-11
χ11111111-1-11-1-1-11-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-1-111-1-1111-1
χ12111111-1-11-1-1-11-1-111-1-11111-1-111-1-11111-1-1-11-1-1111-1-111-1-1-11
χ13111111-1-11-1-1-11-1-1-1-11111-1-111-1-1-1-111-11111-11-1-111-1-1-1-111-11
χ14111111-1-11-1-1-11-1-1-1-11111-1-111-1-1-1-111-11-1-1111-11-1-11111-1-11-1
χ15111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111111-1111-1-11-1-1-11111-1-1-11
χ16111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-11111-1-1-1-1111-1
χ172222222222-2-222-200220000002200-2-2-200000-2000000000000
χ182222222222-2-222-200-2-2000000-2-200-2-22000002000000000000
χ1922222222-2222-2-2-2000022000000222-20-200000-200000000000
χ2022222222-2222-2-2-20000-2-2000000-2-22-20200000200000000000
χ2122222222-22-2-2-2-22220000-2-2-2-20000-220000200000000000000
χ2222222222-22-2-2-2-22-2-2000022220000-220000-200000000000000
χ23222222-2-22-2222-220022000000-2-200-2-2200000-2000000000000
χ24222222-2-22-2222-2200-2-20000002200-2-2-2000002000000000000
χ25222222-2-2-2-222-22-2220000-2-2220000-220000-200000000000000
χ26222222-2-2-2-222-22-2-2-2000022-2-20000-220000200000000000000
χ27222222-2-2-2-2-2-2-222000022000000-2-22-20-200000200000000000
χ28222222-2-2-2-2-2-2-2220000-2-2000000222-20200000-200000000000
χ294444-4-4440-4000000000000000000000002-20-20020000000000
χ304444-4-4440-400000000000000000000000-220200-20000000000
χ314444-4-4-4-404000000000000000000000002-20200-20000000000
χ324444-4-4-4-40400000000000000000000000-220-20020000000000
χ3344-4-44-4004000-400000000000000000000000000000000022−2200
χ3444-4-44-4004000-4000000000000000000000000000000000−222200
χ3544-4-44-400-4000400000000000000000000000000000002i2−2i20000
χ3644-4-44-400-400040000000000000000000000000000000−2i22i20000
χ3744-4-4-4400004i−4i00000000000000000000000000002i−2i2-2000000
χ3844-4-4-4400004i−4i0000000000000000000000000000−2i2i-22000000
χ3944-4-4-440000−4i4i00000000000000000000000000002i−2i-22000000
χ4044-4-4-440000−4i4i0000000000000000000000000000−2i2i2-2000000
χ414-44-4004i−4i0000000002-22i−2i2-22i−2i2i−2i2-2000000000000000000000
χ424-44-4004i−4i0000000002-2−2i2i-22−2i2i2i−2i-22000000000000000000000
χ434-44-4004i−4i000000000-222i−2i-22−2i2i−2i2i2-2000000000000000000000
χ444-44-4004i−4i000000000-22−2i2i2-22i−2i−2i2i-22000000000000000000000
χ454-44-400−4i4i0000000002-22i−2i-222i−2i−2i2i-22000000000000000000000
χ464-44-400−4i4i0000000002-2−2i2i2-2−2i2i−2i2i2-2000000000000000000000
χ474-44-400−4i4i000000000-222i−2i2-2−2i2i2i−2i-22000000000000000000000
χ484-44-400−4i4i000000000-22−2i2i-222i−2i2i−2i2-2000000000000000000000
χ498-8-88000000000004-4000000000000000000000000000000000
χ508-8-8800000000000-44000000000000000000000000000000000

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