Finite Group Databasebeta

← Group #176113

Character table — Group #176113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-111-1-1-111-11-1-111-11-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-1-111-11-1-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-1-1-1-11-11111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-1-11-111-1-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-11-1-1111111-1-1-1-1-11-1111-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-1111111-1-1-1-1-11-1111-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-1111111-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111-1-11-1-1111111-1-1-1-1-1-11-1-1-11-1-11111111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-1-11111-1-11-1111-1-11-1-111-1-1-1-111-1-111
χ14111111111-1-11-1-11111-1-1-1-11111-1-11-11-1-1-1-1111-1-11111-1-111-1-1
χ15111111111-1-11-1-11111-1-1-1-1111-111-11-111-11-1-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-1111-111-11-1-1-1-11-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2002-20000020-2-20000200000000000000
χ1822222222222-2-2-2-2-22-2002-200000-20220000-200000000000000
χ19222222222-2-2-222-2-22-200-220000020-220000-200000000000000
χ20222222222-2-2-222-2-22-200-2200000-202-20000200000000000000
χ2122222222-2222-2-2-2-2-2222-22-2-2200000000-20000000000000000
χ2222222222-2222-2-2-2-2-22-2-2-2222-20000000020000000000000000
χ2322222222-222-22222-2-200-2-2000220-200000-2000000000000000
χ2422222222-222-22222-2-200-2-2000-2-202000002000000000000000
χ2522222222-2-2-2222-2-2-22222-222-200000000-20000000000000000
χ2622222222-2-2-2222-2-2-22-2-22-2-2-220000000020000000000000000
χ2722222222-2-2-2-2-2-222-2-200220002-20-2000002000000000000000
χ2822222222-2-2-2-2-2-222-2-20022000-220200000-2000000000000000
χ294444-4-4-4-404-4000000000000000000000000000000000002-22-2
χ304444-4-4-4-404-400000000000000000000000000000000000-22-22
χ314444-4-4-4-40-44000000000000000000000000000000000002-2-22
χ324444-4-4-4-40-4400000000000000000000000000000000000-222-2
χ334-44-444-4-4000400000-44-4000000000000000000000000000000
χ344-44-444-4-4000400000-4-44000000000000000000000000000000
χ354-44-444-4-4000-400000400004i−4i00000000000000000000000000
χ364-44-444-4-4000-40000040000−4i4i00000000000000000000000000
χ374-44-4-4-4440000004-4000000000000000000000000000022−220000
χ384-44-4-4-4440000004-40000000000000000000000000000−22220000
χ394-44-4-4-444000000-440000000000000000000000000022−22000000
χ404-44-4-4-444000000-4400000000000000000000000000−2222000000
χ414-4-444-4-4440000000-4000000000000000000000002i2−2i200000000
χ424-4-444-4-4440000000-400000000000000000000000−2i22i200000000
χ434-4-444-4-44-40000000400000000000000000000022−220000000000
χ444-4-444-4-44-400000004000000000000000000000−22220000000000
χ454-4-44-444-400004i−4i000000000000000002-20002i−2i000000000000
χ464-4-44-444-400004i−4i00000000000000000-22000−2i2i000000000000
χ474-4-44-444-40000−4i4i000000000000000002-2000−2i2i000000000000
χ484-4-44-444-40000−4i4i00000000000000000-220002i−2i000000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ5088-8-8-88-88000000000000000000000000000000000000000000

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