Finite Group Databasebeta

← Group #251963

Character table — Group #251963

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222222244442244444444444444442444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11-11-1-1-11-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-111-11-11-1-1-11-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-11-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11111111-1-1
χ91111111-1-1-1-111111-1-111-1-111-1-1111111-1-1-11-11-1-11-111-1-11-11-1
χ101111111-1-1-1-111111-1-111-1-111-1-11111-1-1111-11-1-1-1-1111-1-1-11-11
χ111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-11
χ121111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1
χ131111111-1-1-1-111111-1-1-1-111-1-111111111-1-1-11-11-1-11-1-1-111-11-11
χ141111111-1-1-1-111111-1-1-1-111-1-1111111-1-1111-11-1-1-1-11-1-1111-11-1
χ151111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ161111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-11
χ17222222222222-2-2-2-2-2-20000000022-2-2000000002-20000000000
χ18222222222222-2-2-2-2-2-200000000-2-22200000000-220000000000
χ192222222-2-2-2-22-2-2-2-2220000000022-2-200000000-220000000000
χ202222222-2-2-2-22-2-2-2-22200000000-2-222000000002-20000000000
χ21222222-222-2-2-222-2-22-20000000000000022020-2000-200000000
χ22222222-222-2-2-222-2-22-200000000000000-2-20-202000200000000
χ23222222-222-2-2-2-2-222-220000000000002200-202000-2000000000
χ24222222-222-2-2-2-2-222-22000000000000-2-20020-20002000000000
χ25222222-2-2-222-222-2-2-2200000000000000220-202000-200000000
χ26222222-2-2-222-222-2-2-2200000000000000-2-2020-2000200000000
χ27222222-2-2-222-2-2-2222-2000000000000220020-2000-2000000000
χ28222222-2-2-222-2-2-2222-2000000000000-2-200-2020002000000000
χ292222-2-220000-22-22-200002200-2-22i−2i2i−2i000000000000002i−2i0000
χ302222-2-220000-22-22-200002200-2-2−2i2i−2i2i00000000000000−2i2i0000
χ312222-2-220000-22-22-20000-2-200222i−2i2i−2i00000000000000−2i2i0000
χ322222-2-220000-22-22-20000-2-20022−2i2i−2i2i000000000000002i−2i0000
χ332222-2-220000-2-22-22002200-2-2002i−2i−2i2i0000000000002i−2i000000
χ342222-2-220000-2-22-22002200-2-200−2i2i2i−2i000000000000−2i2i000000
χ352222-2-220000-2-22-2200-2-20022002i−2i−2i2i000000000000−2i2i000000
χ362222-2-220000-2-22-2200-2-2002200−2i2i2i−2i0000000000002i−2i000000
χ374444-4-4-4000044-4-440000000000000000000000000000000000
χ384444-4-4-400004-444-40000000000000000000000000000000000
χ3944-4-44-40004-400000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4044-4-44-40004-40000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4144-4-44-4000-4400000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4244-4-44-4000-440000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4344-4-4-4404-40000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4444-4-4-4404-4000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ4544-4-4-440-440000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ4644-4-4-440-44000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ478-88-800000000000000000000000000004i−4i0000000000000000
χ488-88-80000000000000000000000000000−4i4i0000000000000000
χ498-8-88000000000000000000000000004-4000000000000000000
χ508-8-8800000000000000000000000000-44000000000000000000

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