Finite Group Databasebeta

← Group #176131

Character table — Group #176131

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-11-111-111-11-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-11-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-11-1-1111111-1-111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-1-11-1-11-1-1-1-11-1-1-1-111111111
χ9111111111-1-1-1-111111-1-111-1-11-11-11111-1-1-11-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-11-11-111-1-1-1111-1-1-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-1-11-1-1-1-1111-1-1111-1-11111-1-1-1-111
χ12111111111-1-1-1-111111-1-111-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-1-111-1111-1-1-1-11-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1111-1-1111-1-111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-1111-1111-1-1-1-11-111-1-1-1-111-1-111
χ16111111111-1-1-1-111111-1-1-1-111-1111-11-1-1-111-11-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-22-2-2222-2-200020000000-200000000000000
χ1822222222222-2-2-2-2-22-2-22-2-222000-20000000200000000000000
χ19222222222-2-222-2-2-22-22-22222000-20000000-200000000000000
χ20222222222-2-222-2-2-22-22-2-2-2-2-200020000000200000000000000
χ2122222222-22222-222-2-2-2-2000000200-20020000-2000000000000
χ2222222222-22222-222-2-2-2-2000000-200200-200002000000000000
χ2322222222-222-2-22-2-2-222-200002-200-2000000020000000000000
χ2422222222-222-2-22-2-2-222-20000-220020000000-20000000000000
χ2522222222-2-2-2222-2-2-22-2200002200-20000000-20000000000000
χ2622222222-2-2-2222-2-2-22-220000-2-2002000000020000000000000
χ2722222222-2-2-2-2-2-222-2-222000000200-200-200002000000000000
χ2822222222-2-2-2-2-2-222-2-222000000-20020020000-2000000000000
χ2944-444-4-4-440000000-40004-40000000000000000000000000000
χ3044-444-4-4-440000000-4000-440000000000000000000000000000
χ3144-444-4-4-4-400000004000004i−4i00000000000000000000000000
χ3244-444-4-4-4-40000000400000−4i4i00000000000000000000000000
χ3344-4-4-44-440004i−4i000000000000000002-202i−2i000000000000000
χ3444-4-4-44-440004i−4i00000000000000000-220−2i2i000000000000000
χ3544-4-4-44-44000−4i4i000000000000000002-20−2i2i000000000000000
χ3644-4-4-44-44000−4i4i00000000000000000-2202i−2i000000000000000
χ374-444-4-4-4404-4000000000000000000000000000000000002i−2i2i−2i
χ384-444-4-4-4404-400000000000000000000000000000000000−2i2i−2i2i
χ394-444-4-4-440-44000000000000000000000000000000000002i−2i−2i2i
χ404-444-4-4-440-4400000000000000000000000000000000000−2i2i2i−2i
χ414-4-44-444-40000004-400000000000000000000000000002i2−2i20000
χ424-4-44-444-40000004-40000000000000000000000000000−2i22i20000
χ434-4-44-444-4000000-44000000000000000000000000002i2−2i2000000
χ444-4-44-444-4000000-4400000000000000000000000000−2i22i2000000
χ454-4-4-44-444000004000-400000000000000000000002i2−2i200000000
χ464-4-4-44-444000004000-40000000000000000000000−2i22i200000000
χ474-4-4-44-44400000-400040000000000000000000022−220000000000
χ484-4-4-44-44400000-4000400000000000000000000−22220000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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