Finite Group Databasebeta

← Group #178081

Character table — Group #178081

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422222244444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1
χ5111111111111111111-1-111-1-111111-1-111-1-1-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-11111-11-1-1-111-1-11-1-1-1-11111-1-1-1-1
χ7111111111111111111-1-111-1-1-1-1-1-11-1-111-1-1-11-1-1-1-1-111111111
χ8111111111111111111-1-111-1-1-1-1-1-1-11-1-1-111-1-111111-1-1-1-11111
χ911111111-1-11-1-11111111-1-1-1-111-1-111-11-11-11-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-11111-1-1
χ1111111111-1-11-1-11111111-1-1-1-1-1-11111-11-11-11-1-1-1-111-1-111-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-1-1-1-11-1111111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-1-11111-1-11-111-1-11-1-1111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-1-11111-1-1-111-111-1-11-1-1-11111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-1-111-1-1111-111-1-11-1-11-1-11111-1-111-1-1
χ1611111111-1-11-1-111111-1-1-1-111-1-111-111-111-1-11-111-1-1-1-11111-1-1
χ172222222222222-2-2-2-2222-2-2-2-200000020000-200000000000000
χ182222222222222-2-2-2-22-2-2-2-222000000-20000200000000000000
χ192222222222-2-2-222-2-2-2002-200000002000-2-2002000000000000
χ202222222222-2-2-222-2-2-2002-20000000-20002200-2000000000000
χ212222222222-2-2-2-2-222-200-22000000200-2-200020000000000000
χ222222222222-2-2-2-2-222-200-22000000-20022000-20000000000000
χ2322222222-2-22-2-2-2-2-2-22222222000000-20000-200000000000000
χ2422222222-2-22-2-2-2-2-2-22-2-222-2-200000020000200000000000000
χ2522222222-2-2-22222-2-2-200-2200000002000-2200-2000000000000
χ2622222222-2-2-22222-2-2-200-220000000-20002-2002000000000000
χ2722222222-2-2-222-2-222-2002-2000000200-22000-20000000000000
χ2822222222-2-2-222-2-222-2002-2000000-2002-200020000000000000
χ294444-4-4-4-40004-40000000000000000000000000000000002i−2i2i−2i
χ304444-4-4-4-40004-4000000000000000000000000000000000−2i2i−2i2i
χ314444-4-4-4-4000-440000000000000000000000000000000002i−2i−2i2i
χ324444-4-4-4-4000-44000000000000000000000000000000000−2i2i2i−2i
χ334-44-444-4-4004000000-400004i−4i00000000000000000000000000
χ344-44-444-4-4004000000-40000−4i4i00000000000000000000000000
χ354-44-444-4-400-400000044-4000000000000000000000000000000
χ364-44-444-4-400-40000004-44000000000000000000000000000000
χ374-44-4-4-4444-4000000000000002-22-20000000000000000000000
χ384-44-4-4-4444-400000000000000-22-220000000000000000000000
χ394-44-4-4-444-44000000000000002-2-220000000000000000000000
χ404-44-4-4-444-4400000000000000-222-20000000000000000000000
χ414-4-444-44-400000004-4000000000000000000000000022−22000000
χ424-4-444-44-400000004-40000000000000000000000000−2222000000
χ434-4-444-44-40000000-4400000000000000000000000000022−220000
χ444-4-444-44-40000000-44000000000000000000000000000−22220000
χ454-4-44-44-44000004-4000000000000000000000000022−2200000000
χ464-4-44-44-44000004-40000000000000000000000000−222200000000
χ474-4-44-44-4400000-440000000000000000000000022−220000000000
χ484-4-44-44-4400000-4400000000000000000000000−22220000000000
χ4988-8-88-8-88000000000000000000000000000000000000000000
χ5088-8-8-888-8000000000000000000000000000000000000000000

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