Finite Group Databasebeta

← Group #178145

Character table — Group #178145

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11-1-11111-11-1-1-11-1111-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-11-1-1111-1-1-111-1-1111-111111-1-1-1-1-1-1-1-1
χ7111111111111111111-1-11-1-11-1-11-11-1-1-11-1-1-11-111111111-1-1-1-1
χ8111111111111111111-1-11-1-11-1-1-1-1-111-1-11-1-1-11-1-1-1-111111111
χ9111111111-1-11-1-1111111-1-1-1-1111-1-11-11-1-1-1-11111-1-111-1-111-1-1
χ10111111111-1-11-1-1111111-1-1-1-111-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ11111111111-1-11-1-1111111-1-1-1-1-1-11-1-11-11-1-11111-1-111-1-111-1-111
χ12111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-111-11111-1-11-1-11-1-11-1-1-111-1-11111-1-1
χ14111111111-1-11-1-11111-1-1-111-111-1111-1-11-1-1-1-1111-1-1-1-111-1-111
χ15111111111-1-11-1-11111-1-1-111-1-1-111-1-11-1-11111-111-1-111-1-1-1-111
χ16111111111-1-11-1-11111-1-1-111-1-1-1-1111-1-11-111-11-1-11111-1-111-1-1
χ1722222222222-222-2-22-222-2-2-2-20002000-2000000000000000000
χ1822222222222-222-2-22-2-2-2-222-2000-20002000000000000000000
χ19222222222-2-2-2-2-2-2-22-2222222000-2000-2000000000000000000
χ20222222222-2-2-2-2-2-2-22-2-2-22-2-2200020002000000000000000000
χ2122222222-2222-2-2-2-2-2200-200200202000-2000-20000000000000
χ2222222222-2222-2-2-2-2-2200-200200-20-2000200020000000000000
χ2322222222-222-2-2-222-2-200200-2000002200-2000-2000000000000
χ2422222222-222-2-2-222-2-200200-200000-2-20020002000000000000
χ2522222222-2-2-2222-2-2-2200200-20020-20002000-20000000000000
χ2622222222-2-2-2222-2-2-2200200-200-202000-200020000000000000
χ2722222222-2-2-2-22222-2-200-2002000002-2002000-2000000000000
χ2822222222-2-2-2-22222-2-200-200200000-2200-20002000000000000
χ29444-4-4-44-404i−4i00000000000000000000000000000002-22i−2i0000
χ30444-4-4-44-404i−4i0000000000000000000000000000000-22−2i2i0000
χ31444-4-4-44-40−4i4i00000000000000000000000000000002-2−2i2i0000
χ32444-4-4-44-40−4i4i0000000000000000000000000000000-222i−2i0000
χ334-444-44-4-400004i−4i00000000002-2000000002i−2i00000000000000
χ344-444-44-4-400004i−4i0000000000-2200000000−2i2i00000000000000
χ354-444-44-4-40000−4i4i00000000002-200000000−2i2i00000000000000
χ364-444-44-4-40000−4i4i0000000000-22000000002i−2i00000000000000
χ374-44-44-4-4440000000-400004i−4i000000000000000000000000000
χ384-44-44-4-4440000000-40000−4i4i000000000000000000000000000
χ394-44-44-4-44-40000000404-4000000000000000000000000000000
χ404-44-44-4-44-4000000040-44000000000000000000000000000000
χ414-4-44-4-4440000004-400000000000000000000000000000022−2200
χ424-4-44-4-4440000004-4000000000000000000000000000000−222200
χ434-4-44-4-444000000-440000000000000000000000000000000022−22
χ444-4-44-4-444000000-4400000000000000000000000000000000−2222
χ454-4-4-4444-4000400000-4000000000000000000002i2−2i20000000000
χ464-4-4-4444-4000400000-400000000000000000000−2i22i20000000000
χ474-4-4-4444-4000-4000004000000000000000000000022−2200000000
χ484-4-4-4444-4000-40000040000000000000000000000−222200000000
χ4988-888-8-8-8000000000000000000000000000000000000000000
χ5088-8-8-88-88000000000000000000000000000000000000000000

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