Finite Group Databasebeta

← Group #179086

Character table — Group #179086

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-11-1-111-1-1-11-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-11-1-111-1-1-11-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-11-1-1-111-1-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-11-1-1-111-1-11-1-1-1-111111111-1-1
χ9111111111-1-111111-111-1-1-1-111-11-11-11-1-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-111-11-11-11-1-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-111-11
χ12111111111-1-111111-111-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1111-111-1-11-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1111-111-1-11-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-111-111-111-1-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-111-111-111-1-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-22-2222-2-2-2-20020000-20000000000000000
χ1822222222222-2-2-22-22-2-2-2-22200-2000020000000000000000
χ19222222222-2-2-2-2-22-2-222222200-20000-20000000000000000
χ20222222222-2-2-2-2-22-2-2-2-222-2-2002000020000000000000000
χ2122222222-2222-2-2-22-2002-200200-22000-2000000000000000
χ2222222222-2222-2-2-22-2002-200-2002-20002000000000000000
χ2322222222-222-222-2-2-200-220002000-2200-200000000000000
χ2422222222-222-222-2-2-200-22000-20002-200200000000000000
χ2522222222-2-2-22-2-2-22200-2200200-2-20002000000000000000
χ2622222222-2-2-22-2-2-22200-2200-20022000-2000000000000000
χ2722222222-2-2-2-222-2-22002-20002000-2-200200000000000000
χ2822222222-2-2-2-222-2-22002-2000-20002200-200000000000000
χ294444-4-4-4-4400000-4004-40000000000000000000000000000
χ304444-4-4-4-4400000-400-440000000000000000000000000000
χ314444-4-4-4-4-40000040000004i−4i000000000000000000000000
χ324444-4-4-4-4-4000004000000−4i4i000000000000000000000000
χ334-44-44-44-400004-400000000000000000000000002i2−2i2000000
χ344-44-44-44-400004-40000000000000000000000000−2i22i2000000
χ354-44-44-44-40000-44000000000000000000000002i2−2i200000000
χ364-44-44-44-40000-4400000000000000000000000−2i22i200000000
χ374-4-444-4-440004000-40000000000000000000000000002i2−2i200
χ384-4-444-4-440004000-4000000000000000000000000000−2i22i200
χ394-4-444-4-44000-40004000000000000000000000000022−220000
χ404-4-444-4-44000-400040000000000000000000000000−22220000
χ414-4-44-444-404i−4i00000000000000000000002-22i−2i0000000000
χ424-4-44-444-404i−4i0000000000000000000000-22−2i2i0000000000
χ434-4-44-444-40−4i4i00000000000000000000002-2−2i2i0000000000
χ444-4-44-444-40−4i4i0000000000000000000000-222i−2i0000000000
χ4588-8-888-8-8000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000
χ478-88-8-88-88000000000000000000000000000000000000000

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