Finite Group Databasebeta

← Group #178226

Character table — Group #178226

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-1-11-1-11-111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-11-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-11111-111-1-1-1-1111-111-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-111-1-1-1-1111-111-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-11111-111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111
χ121111111111-1-1-1-11111-111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-11111-1-1
χ131111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-111-1-1-1-111-1-111
χ141111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-11111-1-1-1-1111-11-111-11-1-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-1111-11-111-11-1-1-1-11111-1-111-1-1-1-111
χ17222222222-22222-2-22-2-222-2-2-2200-20000000000000000000000
χ18222222222-22222-2-22-2-2-2-2-222-20020000000000000000000000
χ19222222222-2-2-2-2-2-2-22-2222222-200-20000000000000000000000
χ20222222222-2-2-2-2-2-2-22-22-2-22-2-220020000000000000000000000
χ2122222222-2222-2-2-2-2-22200-20000200-2002-20000000000000000
χ2222222222-2222-2-2-2-2-22200-20000-200200-220000000000000000
χ2322222222-22-2-222-2-2-22-20020000200-200-220000000000000000
χ2422222222-22-2-222-2-2-22-20020000-2002002-20000000000000000
χ2522222222-2-222-2-222-2-2-200200020020-2-2000000000000000000
χ2622222222-2-222-2-222-2-2-2002000-200-2022000000000000000000
χ2722222222-2-2-2-22222-2-2200-2000200-20-22000000000000000000
χ2822222222-2-2-2-22222-2-2200-2000-200202-2000000000000000000
χ29444-4-44-4-440000000-4004-400000000000000000000000000000
χ30444-4-44-4-440000000-400-4400000000000000000000000000000
χ31444-4-44-4-4-400000004000004i−4i00000000000000000000000000
χ32444-4-44-4-4-40000000400000−4i4i00000000000000000000000000
χ3344-44-4-44-4004i−4i00000000000000000000002-22i−2i000000000000
χ3444-44-4-44-4004i−4i0000000000000000000000-22−2i2i000000000000
χ3544-44-4-44-400−4i4i00000000000000000000002-2−2i2i000000000000
χ3644-44-4-44-400−4i4i0000000000000000000000-222i−2i000000000000
χ3744-4-44-4-4400004i−4i00000000000000000000000000002-22i−2i0000
χ3844-4-44-4-4400004i−4i0000000000000000000000000000-22−2i2i0000
χ3944-4-44-4-440000−4i4i00000000000000000000000000002-2−2i2i0000
χ4044-4-44-4-440000−4i4i0000000000000000000000000000-222i−2i0000
χ414-44-4-4-4440000004-40000000000000000000000000000000022−22
χ424-44-4-4-4440000004-400000000000000000000000000000000−2222
χ434-44-4-4-444000000-4400000000000000000000000000000022−2200
χ444-44-4-4-444000000-44000000000000000000000000000000−222200
χ454-4-44-44-44040000000-4000000000000000000002i2−2i20000000000
χ464-4-44-44-44040000000-400000000000000000000−2i22i20000000000
χ474-4-44-44-440-400000004000000000000000000000022−2200000000
χ484-4-44-44-440-4000000040000000000000000000000−222200000000
χ498-8888-8-8-8000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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