Finite Group Databasebeta

← Group #177945

Character table — Group #177945

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-111-1-1-1111-111-11-1-1-11-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-1-111-111-11-11-1-1-1111-1-1-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-1-1-1-11-111-11-1111-1-1-111-1-111-1-111
χ12111111111-1-1-1-111111-1-111-1-1-1-1-1-111-11-1111-11-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111111-1-11-1-11-1-1-11-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-111111-11-1-111-1-1-11-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-1111-1-11-1-11-1-1111-1111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1111-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-222-20000000000002-200-22000000000000
χ1822222222222-2-2-2-2-2-222-2000000000000-22002-2000000000000
χ19222222222-2-222-2-2-2-22-220000000000002200-2-2000000000000
χ20222222222-2-222-2-2-2-22-22000000000000-2-20022000000000000
χ2122222222-2222222-2-2-2-2-222-2-220000-200000000000000000000
χ2222222222-2222222-2-2-2-2-2-2-222-20000200000000000000000000
χ2322222222-222-2-2-2-222-2-220000000220-2-2000000000000000000
χ2422222222-222-2-2-2-222-2-220000000-2-2022000000000000000000
χ2522222222-2-2-222-2-222-22-200000002-20-22000000000000000000
χ2622222222-2-2-222-2-222-22-20000000-2202-2000000000000000000
χ2722222222-2-2-2-2-222-2-2-2222222-20000-200000000000000000000
χ2822222222-2-2-2-2-222-2-2-222-2-2-2-220000200000000000000000000
χ2944-44-4-44-404i−4i0000000000000000000000000002i−2i2-200000000
χ3044-44-4-44-404i−4i000000000000000000000000000−2i2i-2200000000
χ3144-44-4-44-40−4i4i0000000000000000000000000002i−2i-2200000000
χ3244-44-4-44-40−4i4i000000000000000000000000000−2i2i2-200000000
χ334-4444-4-4-4000004-400000004i−4i00000000000000000000000000
χ344-4444-4-4-4000004-40000000−4i4i00000000000000000000000000
χ354-4444-4-4-400000-44000004i−4i0000000000000000000000000000
χ364-4444-4-4-400000-4400000−4i4i0000000000000000000000000000
χ374-44-4-4-44400000004-4000000000000000000000000000000022−22
χ384-44-4-4-44400000004-40000000000000000000000000000000−2222
χ394-44-4-4-4440000000-440000000000000000000000000000022−2200
χ404-44-4-4-4440000000-4400000000000000000000000000000−222200
χ414-4-44-44-440004-40000000000002-200000002-200000000000000
χ424-4-44-44-440004-4000000000000-220000000-2200000000000000
χ434-4-44-44-44000-440000000000002-20000000-2200000000000000
χ444-4-44-44-44000-44000000000000-2200000002-200000000000000
χ454-4-4-4444-4400000000-4000000000000000000000000002i2−2i20000
χ464-4-4-4444-4400000000-400000000000000000000000000−2i22i20000
χ474-4-4-4444-4-400000000400000000000000000000000022−22000000
χ484-4-4-4444-4-4000000004000000000000000000000000−2222000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ5088-8-88-8-88000000000000000000000000000000000000000000

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