Finite Group Databasebeta

← Group #176148

Character table — Group #176148

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-111-1-1-111-11-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-1-11-111-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111-1-11-1-1-11-1-11-1111-1-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-11-1-11-11-1-1-1-11-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111-111-1-1-1111-11-1-1111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-111-1-1-1111-11-1-1-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-111-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1111111-111-1-1-1-1-1-11-1-11-1-11111111-1-1-1-11111-1-1
χ1311111111-1-1-1-1111111-1-1-1-1111-11-1-11111-1-11-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1111111-1-1-1-1111-11-1-111-1-1-1-1111-1-11111-1-111-1-1
χ1511111111-1-1-1-1111111-1-1-1-111-11-1111-111-11-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111111-1-1-1-111-11-1111-1-1-1-11-11111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-200-20020-2-20000002000000000000000
χ18222222222222-2-222-2-2-200-200-2022000000-2000000000000000
χ192222222222-2-22-2-2-22-2-22222200000-2000-20000000000000000
χ202222222222-2-22-2-2-22-2-2-2-22-2-200000200020000000000000000
χ212222222222-2-2-22-2-2-22200-2000200-20-20000200000000000000
χ222222222222-2-2-22-2-2-22200-2000-2002020000-200000000000000
χ2322222222-2-2222-2-2-22-2222-2-2-2000002000-20000000000000000
χ2422222222-2-2222-2-2-22-22-2-2-22200000-200020000000000000000
χ2522222222-2-222-22-2-2-22-2002000200-2020000-200000000000000
χ2622222222-2-222-22-2-2-22-2002000-20020-20000200000000000000
χ2722222222-2-2-2-2-2-222-2-220020020-22000000-2000000000000000
χ2822222222-2-2-2-2-2-222-2-2200200-202-20000002000000000000000
χ294444-4-4-4-40000004-40000000000000000000000000022−22000000
χ304444-4-4-4-40000004-400000000000000000000000000−2222000000
χ314444-4-4-4-4000000-44000000000000000000000000000022−220000
χ324444-4-4-4-4000000-440000000000000000000000000000−22220000
χ3344-4-44-44-4000004000-40000000000000000000022−220000000000
χ3444-4-44-44-4000004000-400000000000000000000−22220000000000
χ3544-4-44-44-400000-4000400000000000000000000002i2−2i200000000
χ3644-4-44-44-400000-400040000000000000000000000−2i22i200000000
χ374-44-444-4-400004000-4004-400000000000000000000000000000
χ384-44-444-4-400004000-400-4400000000000000000000000000000
χ394-44-444-4-40000-40004000004i−4i00000000000000000000000000
χ404-44-444-4-40000-4000400000−4i4i00000000000000000000000000
χ414-44-4-4-444004-400000000000000000000000000000000002-22-2
χ424-44-4-4-444004-40000000000000000000000000000000000-22-22
χ434-44-4-4-44400-4400000000000000000000000000000000002-2-22
χ444-44-4-4-44400-440000000000000000000000000000000000-222-2
χ454-4-44-444-44i−4i0000000000000000000002-20002i−2i000000000000
χ464-4-44-444-44i−4i000000000000000000000-22000−2i2i000000000000
χ474-4-44-444-4−4i4i0000000000000000000002-2000−2i2i000000000000
χ484-4-44-444-4−4i4i000000000000000000000-220002i−2i000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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