Finite Group Databasebeta

← Group #178843

Character table — Group #178843

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-11-1-1-11-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-111-11-1-1-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-1-111-1-1-111-1-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-1-1-111-1-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-1-111-1-1111-1
χ12111111111-1-111111-1-111-1-1-1-1-1-11-1111-11-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-1-111111-1-11-1-1-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-111111-1-11-1-1-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-22-200-20000002-200-2200000000000000
χ1822222222222-2-2-22-22-200-2000000-22002-200000000000000
χ19222222222-2-2-2-2-22-2-220020000002200-2-200000000000000
χ20222222222-2-2-2-2-22-2-22002000000-2-2002200000000000000
χ2122222222-2222-2-2-22-2200-2002-202000-20000000000000000
χ2222222222-2222-2-2-22-2200-200-220-200020000000000000000
χ2322222222-222-222-2-2-2-2222-2-2002000-200000000000000000
χ2422222222-222-222-2-2-2-2-2-222200-2000200000000000000000
χ2522222222-2-2-22-2-2-222-2002002-20-200020000000000000000
χ2622222222-2-2-22-2-2-222-200200-2202000-20000000000000000
χ2722222222-2-2-2-222-2-22222-22200-2000-200000000000000000
χ2822222222-2-2-2-222-2-222-2-2-2-2-2002000200000000000000000
χ294444-4-4-4-4400000-40000000000000000000000000022−220000
χ304444-4-4-4-4400000-400000000000000000000000000−22220000
χ314444-4-4-4-4-400000400000000000000000000000000002i2−2i200
χ324444-4-4-4-4-40000040000000000000000000000000000−2i22i200
χ3344-4-444-4-404-4000000000000000000000000002i−2i2i−2i000000
χ3444-4-444-4-404-400000000000000000000000000−2i2i−2i2i000000
χ3544-4-444-4-40-44000000000000000000000000002i−2i−2i2i000000
χ3644-4-444-4-40-4400000000000000000000000000−2i2i2i−2i000000
χ374-44-44-44-400004-400000004i−4i000000000000000000000000
χ384-44-44-44-400004-40000000−4i4i000000000000000000000000
χ394-44-44-44-40000-4400004i−4i000000000000000000000000000
χ404-44-44-44-40000-440000−4i4i000000000000000000000000000
χ414-4-444-4-440004000-4000000000000000002i2−2i2000000000000
χ424-4-444-4-440004000-400000000000000000−2i22i2000000000000
χ434-4-444-4-44000-40004000000000000000000022−220000000000
χ444-4-444-4-44000-400040000000000000000000−22220000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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