Finite Group Databasebeta

← Group #178042

Character table — Group #178042

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422224444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111-1-1-111-1-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-111111-1-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1111-1-1-1-1-11-1-111111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-1-1-111-111-1111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-111-111-1-1-11-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1111111-1-1-1-1-1-11-1-11111-111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-11-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-11111-1-111-1-111-1-1-1111-11-11-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-11-111111-1-1-1-11111-1-1
χ151111111111-1-1-1-11111-1-111-1-1-1-1111-111-111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11111-1-111-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111
χ17222222222-222-2-2-2-22-200002-20002-2200000-200000000000000
χ18222222222-222-2-2-2-22-200002-2000-22-200000200000000000000
χ19222222222-2-2-222-2-22-20000-220002-2-200000200000000000000
χ20222222222-2-2-222-2-22-20000-22000-22200000-200000000000000
χ2122222222-2222-2-2-2-2-220000-222-220000000-2000000000000000
χ2222222222-2222-2-2-2-2-220000-22-22-200000002000000000000000
χ2322222222-22-2-222-2-2-2200002-22-2-200000002000000000000000
χ2422222222-22-2-222-2-2-2200002-2-2220000000-2000000000000000
χ2522222222-2-2222222-2-222-2-2-2-200000000-220000000000000000
χ2622222222-2-2222222-2-2-2-222-2-2000000002-20000000000000000
χ2722222222-2-2-2-2-2-222-2-222222200000000-2-20000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-2-2-22200000000220000000000000000
χ294444-4-4-4-40000004-400004-40000000000000000000000000000
χ304444-4-4-4-40000004-40000-440000000000000000000000000000
χ314444-4-4-4-4000000-44004-4000000000000000000000000000000
χ324444-4-4-4-4000000-4400-44000000000000000000000000000000
χ3344-4-44-4-44040000000-40000000000000000000000000000002i2−2i2
χ3444-4-44-4-44040000000-4000000000000000000000000000000−2i22i2
χ3544-4-44-4-440-400000004000000000000000000000000000022−2200
χ3644-4-44-4-440-4000000040000000000000000000000000000−222200
χ374-44-4-44-4440000000-40000000000000000000000000002i2−2i20000
χ384-44-4-44-4440000000-4000000000000000000000000000−2i22i20000
χ394-44-4-44-44-400000004000000000000000000000000022−22000000
χ404-44-4-44-44-4000000040000000000000000000000000−2222000000
χ414-4-4444-4-4004i−4i0000000000000000002-200002i−2i000000000000
χ424-4-4444-4-4004i−4i000000000000000000-220000−2i2i000000000000
χ434-4-4444-4-400−4i4i0000000000000000002-20000−2i2i000000000000
χ444-4-4444-4-400−4i4i000000000000000000-2200002i−2i000000000000
χ454-4-44-4-44400004-40000000000000000000000002-22-200000000
χ464-4-44-4-44400004-4000000000000000000000000-22-2200000000
χ474-4-44-4-4440000-440000000000000000000000002-2-2200000000
χ484-4-44-4-4440000-44000000000000000000000000-222-200000000
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-88-88-88-8000000000000000000000000000000000000000000

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