Finite Group Databasebeta

← Group #178698

Character table — Group #178698

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-1-1111-1-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-1-1-11111-11111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-1-111-1-1-1111-1-111-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-1111-1-111-1-1-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-11-1-11-1-1-111111-1-1-1-111-1-1111-1
χ121111111111-1-11111-1-111-1-1-11-1-11-1-1-1111-1-11111-1-111-1-1-11
χ131111111111-1-11111-1-1-1-1-111-111-11-1-111-111-1-111-1-1-1-111-11
χ141111111111-1-11111-1-1-1-1-111-111-11-1-111-1-1-111-1-11111-1-11-1
χ151111111111-1-11111-1-1-1-1-111-1-1-11111-1-1111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-111-1-1-11111-1-11-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2-2-20020002-2-200000200000000000000
χ18222222222-222-2-22-2-2-2002000-22200000-200000000000000
χ19222222222-2-2-2-2-22-22200-20002-2200000-200000000000000
χ20222222222-2-2-2-2-22-22200-2000-22-200000200000000000000
χ2122222222-2222-2-2-222-200-200000002-22-2000000000000000
χ2222222222-2222-2-2-222-200-20000000-22-22000000000000000
χ2322222222-22-2-2-2-2-22-2200200000002-2-22000000000000000
χ2422222222-22-2-2-2-2-22-220020000000-222-2000000000000000
χ2522222222-2-22222-2-2-2222-2-2-2-200020000000000000000000
χ2622222222-2-22222-2-2-22-2-2-2222000-20000000000000000000
χ2722222222-2-2-2-222-2-22-222222-2000-20000000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22-2-2200020000000000000000000
χ29444-4-4-4-44004-400000000000000000000000002i−2i2i−2i000000
χ30444-4-4-4-44004-40000000000000000000000000−2i2i−2i2i000000
χ31444-4-4-4-4400-4400000000000000000000000002i−2i−2i2i000000
χ32444-4-4-4-4400-440000000000000000000000000−2i2i2i−2i000000
χ334-4444-4-4-4400000-400000000000000000022−22000000000000
χ344-4444-4-4-4400000-4000000000000000000−2222000000000000
χ354-4444-4-4-4-4000004000000000000000000002i2−2i20000000000
χ364-4444-4-4-4-400000400000000000000000000−2i22i20000000000
χ374-44-4-444-400004-400000004i−4i000000000000000000000000
χ384-44-4-444-400004-40000000−4i4i000000000000000000000000
χ394-44-4-444-40000-4400004i−4i000000000000000000000000000
χ404-44-4-444-40000-440000−4i4i000000000000000000000000000
χ414-4-44-44-440400000-40000000000000000000000000002i2−2i200
χ424-4-44-44-440400000-4000000000000000000000000000−2i22i200
χ434-4-44-44-440-4000004000000000000000000000000022−220000
χ444-4-44-44-440-40000040000000000000000000000000−22220000
χ4588-88-8-88-8000000000000000000000000000000000000000
χ4688-8-888-8-8000000000000000000000000000000000000000
χ478-8-8-88-888000000000000000000000000000000000000000

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