Finite Group Databasebeta

← Group #176083

Character table — Group #176083

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422244424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-111-1-1-11-1-1111-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-111-1-1-11-1-1-1-11-1-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-11-1-1-11111-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-11-1-1-111-1-1-11-1-111111111-1-1-1-1
χ91111111111-1-11-1-1111-111-1-1-11-111-111-111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-11-1-1111-111-1-1-11-111-111-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-11-1-1111-111-1-1-1-11-11-1-1-111111-1-111-1-1-1-111-1-111
χ121111111111-1-11-1-1111-111-1-1-1-11-11-1-1-11-1-11111-1-11111-1-111-1-1
χ131111111111-1-11-1-1111-1-1-1-1111-1-1-111-1111-11-1-1-1-11111-1-1-1-111
χ141111111111-1-11-1-1111-1-1-1-1111-1-1-111-11-1-1-111111-1-1-1-11111-1-1
χ151111111111-1-11-1-1111-1-1-1-111-111-11-11-1111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-11-1-1111-1-1-1-111-111-11-11-1-1-11-11111-1-111-1-1-1-111
χ17222222222-222-2222-2-2-200-20022000-20000-2000000000000000
χ18222222222-222-2222-2-2-200-200-2-2000200002000000000000000
χ19222222222-2-2-2-2-2-22-2-22002002-2000-200002000000000000000
χ20222222222-2-2-2-2-2-22-2-2200200-2200020000-2000000000000000
χ2122222222-2222-2-2-2-22-2222-2-2-2000-22000000000000000000000
χ2222222222-2222-2-2-2-22-22-2-2-2220002-2000000000000000000000
χ2322222222-22-2-2-222-22-2-222222000-2-2000000000000000000000
χ2422222222-22-2-2-222-22-2-2-2-22-2-200022000000000000000000000
χ2522222222-2-2222-2-2-2-22-200200002000-2-2000200000000000000
χ2622222222-2-2222-2-2-2-22-20020000-200022000-200000000000000
χ2722222222-2-2-2-2222-2-22200-200002000-22000-200000000000000
χ2822222222-2-2-2-2222-2-22200-20000-20002-2000200000000000000
χ29444-44-4-4-404000000-4004-400000000000000000000000000000
χ30444-44-4-4-404000000-400-4400000000000000000000000000000
χ31444-44-4-4-40-40000004000004i−4i00000000000000000000000000
χ32444-44-4-4-40-4000000400000−4i4i00000000000000000000000000
χ3344-44-44-4-44000000-4000000000000000000000022−220000000000
χ3444-44-44-4-44000000-40000000000000000000000−22220000000000
χ3544-44-44-4-4-400000040000000000000000000000002i2−2i200000000
χ3644-44-44-4-4-40000004000000000000000000000000−2i22i200000000
χ3744-4-4-4-444004i−4i00000000000000000000000000000000002-22i−2i
χ3844-4-4-4-444004i−4i0000000000000000000000000000000000-22−2i2i
χ3944-4-4-4-44400−4i4i00000000000000000000000000000000002-2−2i2i
χ4044-4-4-4-44400−4i4i0000000000000000000000000000000000-222i−2i
χ414-444-4-44-4000004-4000000000000000002i−2i002i−2i000000000000
χ424-444-4-44-4000004-400000000000000000−2i2i00−2i2i000000000000
χ434-444-4-44-400000-44000000000000000002i−2i00−2i2i000000000000
χ444-444-4-44-400000-4400000000000000000−2i2i002i−2i000000000000
χ454-4-4-4444-4000040000-4000000000000000000000000002i2−2i20000
χ464-4-4-4444-4000040000-400000000000000000000000000−2i22i20000
χ474-4-4-4444-40000-40000400000000000000000000000022−22000000
χ484-4-4-4444-40000-400004000000000000000000000000−2222000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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