Finite Group Databasebeta

← Group #176513

Character table — Group #176513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-11-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1111111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1
χ7111111111111111111-1-11-1-1-1-11-1-1-11-1-1111-11111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-11-1-1-11-1-1111-1-1-1-1-11111-1-1-1-111
χ9111111111-1-11-1-1111111-111-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-11-1
χ10111111111-1-11-1-1111111-111-1-1-1-1-111-1-11-1-11-1-111-1-111-1-111-11
χ11111111111-1-11-1-1111111-1-1-111-1-1-11-1-11-111-111-1-111-1-1-1-111-11
χ12111111111-1-11-1-1111111-1-1-111-1-1-11-1-11-111-1-1-111-1-11111-1-11-1
χ13111111111-1-11-1-11111-1-1-111-1-1-111-1-11-1-111111-1-1-1-111-1-1111-1
χ14111111111-1-11-1-11111-1-1-111-1-1-111-1-11-1-1111-1-11111-1-111-1-1-11
χ15111111111-1-11-1-11111-1-1-1-1-111-111-11111-1-1-111-1-1-1-11111-1-1-11
χ16111111111-1-11-1-11111-1-1-1-1-111-111-11111-1-1-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-200-200002000200-22-2000000000000000
χ1822222222222-2-2-2-2-22-200-200002000-2002-22000000000000000
χ19222222222-2-2-222-2-22-20020000-2000200-2-22000000000000000
χ20222222222-2-2-222-2-22-20020000-2000-20022-2000000000000000
χ2122222222-2222-2-2-2-2-222220000-222-20-20000000000000000000
χ2222222222-2222-2-2-2-2-22-2-220000-2-2-22020000000000000000000
χ2322222222-222-22222-2-200-22222-200000-2000-200000000000000
χ2422222222-222-22222-2-200-2-2-2-2-2-2000002000200000000000000
χ2522222222-2-2-2222-2-2-2222-200002-2-2-2020000000000000000000
χ2622222222-2-2-2222-2-2-22-2-2-2000022220-20000000000000000000
χ2722222222-2-2-2-2-2-222-2-200222-2-22000002000-200000000000000
χ2822222222-2-2-2-2-2-222-2-2002-2-222200000-2000200000000000000
χ29444-4-4-44-440000000-400000000000000000000000000022−220000
χ30444-4-4-44-440000000-4000000000000000000000000000−22220000
χ31444-4-4-44-4-400000004000000000000000000000000000002i2−2i200
χ32444-4-4-44-4-40000000400000000000000000000000000000−2i22i200
χ3344-44-4-4-4404i−4i000000000000000000000000000002i−2i2-2000000
χ3444-44-4-4-4404i−4i00000000000000000000000000000−2i2i-22000000
χ3544-44-4-4-440−4i4i000000000000000000000000000002i−2i-22000000
χ3644-44-4-4-440−4i4i00000000000000000000000000000−2i2i2-2000000
χ374-44-44-4-440000004-400000004i−4i0000000000000000000000000
χ384-44-44-4-440000004-40000000−4i4i0000000000000000000000000
χ394-44-44-4-44000000-44000004i−4i000000000000000000000000000
χ404-44-44-4-44000000-4400000−4i4i000000000000000000000000000
χ414-4-444-44-400004i−4i00000000000000000000002i−2i2-20000000000
χ424-4-444-44-400004i−4i0000000000000000000000−2i2i-220000000000
χ434-4-444-44-40000−4i4i00000000000000000000002i−2i-220000000000
χ444-4-444-44-40000−4i4i0000000000000000000000−2i2i2-20000000000
χ454-4-4-4-4444000400000-44i−4i000000000000000000000000000000
χ464-4-4-4-4444000400000-4−4i4i000000000000000000000000000000
χ474-4-4-4-4444000-4000004000000004-40000000000000000000000
χ484-4-4-4-4444000-400000400000000-440000000000000000000000
χ4988-8-888-8-8000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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