Finite Group Databasebeta

← Group #260851

Character table — Group #260851

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-1-111111-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-11111-111-111-11111-1-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-111-111-111-1-11-1-1-11-11-1111-1-1-1-111-1-111
χ111111111111-1-1-1-11111-111-111-1-1-111-1-111-11-11-1-1-111-1-111-1-111
χ121111111111-1-1-1-11111-111-111-1-1-1-1-11-1111-11-11-1-11111-1-111-1-1
χ131111111111-1-1-1-11111-1-1-1-1-1-111111-11-1-1-1-11-11-1-11111-1-1-1-111
χ141111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-11-1-1-111-1-11111-1-1
χ151111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1111-1-11-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-11-111-1-111-1-1-1-111
χ17222222222-22222-2-22-2-200-2000002-22000-20000000000000000
χ18222222222-22222-2-22-2-200-200000-22-200020000000000000000
χ19222222222-2-2-2-2-2-2-22-22002000002-2-200020000000000000000
χ20222222222-2-2-2-2-2-2-22-2200200000-222000-20000000000000000
χ2122222222-2222-2-2-2-2-22200-200000000000022-2-2000000000000
χ2222222222-2222-2-2-2-2-22200-2000000000000-2-222000000000000
χ2322222222-22-2-222-2-2-22-20020000000000002-2-22000000000000
χ2422222222-22-2-222-2-2-22-2002000000000000-222-2000000000000
χ2522222222-2-222-2-222-2-2-2222-2-2200000-20000000000000000000
χ2622222222-2-222-2-222-2-2-2-2-2222-20000020000000000000000000
χ2722222222-2-2-2-22222-2-2222-2-2-2-20000020000000000000000000
χ2822222222-2-2-2-22222-2-22-2-2-222200000-20000000000000000000
χ29222-22-2-2-22-200002-2-2202i−2i02i−2i00000002i−2i00000002-200000000
χ30222-22-2-2-22-200002-2-2202i−2i02i−2i0000000−2i2i0000000-2200000000
χ31222-22-2-2-22-200002-2-220−2i2i0−2i2i00000002i−2i0000000-2200000000
χ32222-22-2-2-22-200002-2-220−2i2i0−2i2i0000000−2i2i00000002-200000000
χ33222-22-2-2-2-2200002-22-202i−2i0−2i2i02-2000000000002i−2i0000000000
χ34222-22-2-2-2-2200002-22-202i−2i0−2i2i0-2200000000000−2i2i0000000000
χ35222-22-2-2-2-2200002-22-20−2i2i02i−2i02-200000000000−2i2i0000000000
χ36222-22-2-2-2-2200002-22-20−2i2i02i−2i0-22000000000002i−2i0000000000
χ37444-44-4-4-4440000-44-4-400000000000000000000000000000000
χ38444-44-4-4-4-4-40000-444400000000000000000000000000000000
χ3944-44-44-4-400004i−4i00000000000000000000000000002-22i−2i0000
χ4044-44-44-4-400004i−4i0000000000000000000000000000-22−2i2i0000
χ4144-44-44-4-40000−4i4i00000000000000000000000000002-2−2i2i0000
χ4244-44-44-4-40000−4i4i0000000000000000000000000000-222i−2i0000
χ434-444-4-44-4004-400000000000000000000000000000000002i−2i2i−2i
χ444-444-4-44-4004-40000000000000000000000000000000000−2i2i−2i2i
χ454-444-4-44-400-4400000000000000000000000000000000002i−2i−2i2i
χ464-444-4-44-400-440000000000000000000000000000000000−2i2i2i−2i
χ4788-8-8-8-888000000000000000000000000000000000000000000
χ488-88-8-88-88000000000000000000000000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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