Finite Group Databasebeta

← Group #176060

Character table — Group #176060

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-1-1111-1-111-1-11-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-1-1111-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-111-1-1-11-11-1-111111111-1-1-1-1
χ91111111111-1-11-1-1111-111-1-1-1-111-111111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-11-1-1111-111-1-1-1-111-111-1-11-1-1-111-1-111-1-111-1-111
χ111111111111-1-11-1-1111-111-1-1-1-1-1-11-1-1111111-1-111-1-1-1-111-1-111
χ121111111111-1-11-1-1111-111-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-111-1-1
χ131111111111-1-11-1-1111-1-1-1-111111-1-1-111-11-11-1-1-1-11111-1-1-1-111
χ141111111111-1-11-1-1111-1-1-1-111111-1-1-1-1-1-11-111111-1-1-1-11111-1-1
χ151111111111-1-11-1-1111-1-1-1-1111-1-111111-1-11-1-1-1-1-111-1-11111-1-1
χ161111111111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-11-11111-1-111-1-1-1-111
χ17222222222-222-2222-2-2-200-20000002-200020-200000000000000
χ18222222222-222-2222-2-2-200-2000000-22000-20200000000000000
χ19222222222-2-2-2-2-2-22-2-220020000002-2000-20200000000000000
χ20222222222-2-2-2-2-2-22-2-22002000000-2200020-200000000000000
χ2122222222-2222-2-2-2-22-2222-2-2-220000000-200000000000000000
χ2222222222-2222-2-2-2-22-22-2-2-222-20000000200000000000000000
χ2322222222-22-2-2-222-22-2-222222-20000000-200000000000000000
χ2422222222-22-2-2-222-22-2-2-2-22-2-220000000200000000000000000
χ2522222222-2-2222-2-2-2-22-20020002-2-20000002000000000000000
χ2622222222-2-2222-2-2-2-22-2002000-222000000-2000000000000000
χ2722222222-2-2-2-2222-2-22200-20002-22000000-2000000000000000
χ2822222222-2-2-2-2222-2-22200-2000-22-20000002000000000000000
χ294444-4-4-4-404000000-4004-400000000000000000000000000000
χ304444-4-4-4-404000000-400-4400000000000000000000000000000
χ314444-4-4-4-40-40000004000004i−4i00000000000000000000000000
χ324444-4-4-4-40-4000000400000−4i4i00000000000000000000000000
χ3344-4-4-4-444000040000-40000000000000000000000000000002i2−2i2
χ3444-4-4-4-444000040000-4000000000000000000000000000000−2i22i2
χ3544-4-4-4-4440000-400004000000000000000000000000000022−2200
χ3644-4-4-4-4440000-4000040000000000000000000000000000−222200
χ374-44-44-44-4000004-40000000000000002i−2i00002i−2i000000000000
χ384-44-44-44-4000004-4000000000000000−2i2i0000−2i2i000000000000
χ394-44-44-44-400000-440000000000000002i−2i0000−2i2i000000000000
χ404-44-44-44-400000-44000000000000000−2i2i00002i−2i000000000000
χ414-4-444-4-444000000-40000000000000000000000002i2−2i200000000
χ424-4-444-4-444000000-4000000000000000000000000−2i22i200000000
χ434-4-444-4-44-40000004000000000000000000000022−220000000000
χ444-4-444-4-44-400000040000000000000000000000−22220000000000
χ454-4-44-444-4004i−4i0000000000000000000000000000002-22i−2i0000
χ464-4-44-444-4004i−4i000000000000000000000000000000-22−2i2i0000
χ474-4-44-444-400−4i4i0000000000000000000000000000002-2−2i2i0000
χ484-4-44-444-400−4i4i000000000000000000000000000000-222i−2i0000
χ4988-8-888-8-8000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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