Finite Group Databasebeta

← Group #176093

Character table — Group #176093

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111-1-11-1-1-111-1111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-11-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-1-11-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-111-1-1-11-1111-1-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-111-1-1-11-1111-1-11-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-111-1-1-1-11-11-111-111-11-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11111-111-1-1-1-11-11-111-1-1-1-1111-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-111-11-1-1-1111-1111-1-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-111-11-1-1-1111-1-1-11-11111-1-1-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-111-1-111-1-1-1-11-1-1111111-1-111-1-1-1-111
χ1722222222222-2-2-2-22-2-2222-2-2-2000-20000002000000000000000
χ1822222222222-2-2-2-22-2-22-2-222-20002000000-2000000000000000
χ19222222222-2-2-222-22-2-2-222222000-2000000-2000000000000000
χ20222222222-2-2-222-22-2-2-2-2-2-2-2200020000002000000000000000
χ2122222222-2222-2-2-2-22-2-2000022200-2000000-200000000000000
χ2222222222-2222-2-2-2-22-2-200002-2-2002000000200000000000000
χ2322222222-222-2222-2-22-20000-2002002-2-2000000000000000000
χ2422222222-222-2222-2-22-20000-200-200-222000000000000000000
χ2522222222-2-2-2222-2-22-220000-22-200-2000000200000000000000
χ2622222222-2-2-2222-2-22-220000-2-22002000000-200000000000000
χ2722222222-2-2-2-2-2-22-2-2220000200200-22-2000000000000000000
χ2822222222-2-2-2-2-2-22-2-2220000200-2002-22000000000000000000
χ2944-44-4-44-400040000-40000000000000000000000000000022−2200
χ3044-44-4-44-400040000-400000000000000000000000000000−222200
χ3144-44-4-44-4000-40000400000000000000000000000000000002i2−2i2
χ3244-44-4-44-4000-4000040000000000000000000000000000000−2i22i2
χ3344-4-444-4-44000000-4000004-4000000000000000000000000000
χ3444-4-444-4-44000000-400000-44000000000000000000000000000
χ3544-4-444-4-4-400000040004i−4i00000000000000000000000000000
χ3644-4-444-4-4-40000004000−4i4i00000000000000000000000000000
χ374-44-44-44-404i−4i00000000000000000000000000000002-22i−2i0000
χ384-44-44-44-404i−4i0000000000000000000000000000000-22−2i2i0000
χ394-44-44-44-40−4i4i00000000000000000000000000000002-2−2i2i0000
χ404-44-44-44-40−4i4i0000000000000000000000000000000-222i−2i0000
χ414-4-444-4-44000000400-400000000000000000000002i2−2i200000000
χ424-4-444-4-44000000400-40000000000000000000000−2i22i200000000
χ434-4-444-4-44000000-40040000000000000000000022−220000000000
χ444-4-444-4-44000000-400400000000000000000000−22220000000000
χ454-4-4-4-444400004-40000000000000000002-2002-2000000000000
χ464-4-4-4-444400004-4000000000000000000-2200-22000000000000
χ474-4-4-4-44440000-440000000000000000002-200-22000000000000
χ484-4-4-4-44440000-44000000000000000000-22002-2000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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