Finite Group Databasebeta

← Group #175994

Character table — Group #175994

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-11-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ5111111111111111111-1-111-1-11-1111-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111-1-11-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-111-1-1-1-1-1-1-111111-11111111-1-1-1-1-1-1-1-1
χ8111111111111111111-1-111-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-111111111
χ9111111111-1-1-1-11111111-1-1-1-1111-1-11-1-111-11-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111111-1-1-1-1111-1-11-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111-1-1-1-11111111-1-1-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-11111111-1-1-1-1-11-111-111-1-1-1-11111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-11-1-1-111111-1-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-1111-11-1-1-111-1-11-11111-1-111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-1-1-1111-1-11111-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-111111-1-1-1-111-1-1-1111-1-1-1-11111-1-11111-1-111-1-1
χ172222222222222-2-2-22-200-2-20020-22-2000000000000000000000
χ182222222222222-2-2-22-200-2-200-202-22000000000000000000000
χ19222222222-2-2-2-2-2-2-22-200220020-2-22000000000000000000000
χ20222222222-2-2-2-2-2-2-22-2002200-2022-2000000000000000000000
χ2122222222-222-2-22-2-2-22222-2220-200000000-2000000000000000
χ2222222222-222-2-22-2-2-22-2-22-2-2-202000000002000000000000000
χ2322222222-222-2-2-222-2-200-22000000022-2000-200000000000000
χ2422222222-222-2-2-222-2-200-220000000-2-22000200000000000000
χ2522222222-2-2-2222-2-2-2222-22-2-20-2000000002000000000000000
χ2622222222-2-2-2222-2-2-22-2-2-22220200000000-2000000000000000
χ2722222222-2-2-222-222-2-2002-200000002-22000-200000000000000
χ2822222222-2-2-222-222-2-2002-20000000-22-2000200000000000000
χ294444-4-4-4-440000000-4000000000000000000000000022−22000000
χ304444-4-4-4-440000000-40000000000000000000000000−2222000000
χ314444-4-4-4-4-4000000040000000000000000000000000002i2−2i20000
χ324444-4-4-4-4-400000004000000000000000000000000000−2i22i20000
χ3344-4-44-4-4404i−4i0000000000000000000002i−2i002-2000000000000
χ3444-4-44-4-4404i−4i000000000000000000000−2i2i00-22000000000000
χ3544-4-44-4-440−4i4i0000000000000000000002i−2i00-22000000000000
χ3644-4-44-4-440−4i4i000000000000000000000−2i2i002-2000000000000
χ374-44-444-4-40004i−4i00000000000000000000000002i−2i2-200000000
χ384-44-444-4-40004i−4i0000000000000000000000000−2i2i-2200000000
χ394-44-444-4-4000−4i4i00000000000000000000000002i−2i-2200000000
χ404-44-444-4-4000−4i4i0000000000000000000000000−2i2i2-200000000
χ414-44-4-4-444000004000-400004i−4i00000000000000000000000000
χ424-44-4-4-444000004000-40000−4i4i00000000000000000000000000
χ434-44-4-4-44400000-400044-4000000000000000000000000000000
χ444-44-4-4-44400000-40004-44000000000000000000000000000000
χ454-4-444-44-40000004-4000000000000000000000000000000002i2−2i2
χ464-4-444-44-40000004-400000000000000000000000000000000−2i22i2
χ474-4-444-44-4000000-440000000000000000000000000000002i2−2i200
χ484-4-444-44-4000000-44000000000000000000000000000000−2i22i200
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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