Finite Group Databasebeta

← Group #175990

Character table — Group #175990

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-11-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11-1-111-111-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111-111-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-11-1-11111111-1-1-1-111-1-1-1-1-111111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1311111111-1-11-1-111111-1-1-111-11-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-111-11-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-111-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111111-1-1-111-1-1-111-1-11-111-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-22-200-200-200002-2002-20000000000000000
χ182222222222222-2-2-22-200-200-20000-2200-220000000000000000
χ192222222222-2-2-22-2-2-2222-2-2-220-2000020000000000000000000
χ202222222222-2-2-22-2-2-22-2-2-2222020000-20000000000000000000
χ212222222222-2-2-2-222-2-200200-2202-2000-2000000000000000000
χ222222222222-2-2-2-222-2-200200-2-20-220002000000000000000000
χ2322222222-2-22-2-2-2-2-22-200200200002-200-220000000000000000
χ2422222222-2-22-2-2-2-2-22-20020020000-22002-20000000000000000
χ2522222222-2-2-2222-2-2-2222222-20-20000-20000000000000000000
χ2622222222-2-2-2222-2-2-22-2-22-2-2-202000020000000000000000000
χ2722222222-2-2-222-222-2-200-200220-22000-2000000000000000000
χ2822222222-2-2-222-222-2-200-2002-202-20002000000000000000000
χ294444-4-4-4-40000004-400000000000000000000000000000022−2200
χ304444-4-4-4-40000004-4000000000000000000000000000000−222200
χ314444-4-4-4-4000000-440000000000000000000000000000000022−22
χ324444-4-4-4-4000000-4400000000000000000000000000000000−2222
χ3344-4-44-44-40004i−4i0000000000000000000002-22i−2i000000000000
χ3444-4-44-44-40004i−4i000000000000000000000-22−2i2i000000000000
χ3544-4-44-44-4000−4i4i0000000000000000000002-2−2i2i000000000000
χ3644-4-44-44-4000−4i4i000000000000000000000-222i−2i000000000000
χ3744-4-4-44-444i−4i00000000000000000000000000002i−2i2-200000000
χ3844-4-4-44-444i−4i0000000000000000000000000000−2i2i-2200000000
χ3944-4-4-44-44−4i4i00000000000000000000000000002i−2i-2200000000
χ4044-4-4-44-44−4i4i0000000000000000000000000000−2i2i2-200000000
χ414-44-4-4-444000004000-40004i−4i000000000000000000000000000
χ424-44-4-4-444000004000-4000−4i4i000000000000000000000000000
χ434-44-4-4-44400000-400044-4000000000000000000000000000000
χ444-44-4-4-44400000-40004-44000000000000000000000000000000
χ454-4-444-4-4400400000-400000000000000000000000002i2−2i2000000
χ464-4-444-4-4400400000-40000000000000000000000000−2i22i2000000
χ474-4-444-4-4400-400000400000000000000000000000000022−220000
χ484-4-444-4-4400-4000004000000000000000000000000000−22220000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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