Finite Group Databasebeta

← Group #177710

Character table — Group #177710

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11-1-1-1111-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-11-1-1-1-1-1111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-1-111-1-1111-11-1-11-1-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-1-111-1-1111-11-1-11-1-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-1-111-1-1-1-11-1-111-11111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-1-111-1-1-1-11-1-111-111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1111-1-111-1-1-11111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1111-1-111-1-1-111-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-111-11-11-1111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-222-2-2222200-2-200000000000000000000
χ1822222222222-2-2-2-222-2-2-2-2-2-2002200000000000000000000
χ19222222222-2-2-2-2-2-22-22222-2-200-2200000000000000000000
χ20222222222-2-2-2-2-2-22-222-2-222002-200000000000000000000
χ2122222222-22222-2-2-2-22-200000200000-22-200000000000000
χ2222222222-22222-2-2-2-22-200000-2000002-2200000000000000
χ2322222222-222-2-222-2-2-2200002000-22-200000000000000000
χ2422222222-222-2-222-2-2-220000-20002-2200000000000000000
χ2522222222-2-2-222-2-2-22-2200000200000-2-2200000000000000
χ2622222222-2-2-222-2-2-22-2200000-20000022-200000000000000
χ2722222222-2-2-2-2-222-222-200002000-2-2200000000000000000
χ2822222222-2-2-2-2-222-222-20000-200022-200000000000000000
χ294444-4-4-4-44000000-40004-400000000000000000000000000
χ304444-4-4-4-44000000-4000-4400000000000000000000000000
χ314444-4-4-4-4-40000004000004i−4i000000000000000000000000
χ324444-4-4-4-4-4000000400000−4i4i000000000000000000000000
χ3344-4-44-4-4404-40000000000000000000000000000002i−2i2i−2i00
χ3444-4-44-4-4404-4000000000000000000000000000000−2i2i−2i2i00
χ3544-4-44-4-440-440000000000000000000000000000002i−2i−2i2i00
χ3644-4-44-4-440-44000000000000000000000000000000−2i2i2i−2i00
χ374-44-444-4-4000004-4000000000000000000002i2−2i20000000000
χ384-44-444-4-4000004-400000000000000000000−2i22i20000000000
χ394-44-444-4-400000-440000000000000000002i2−2i2000000000000
χ404-44-444-4-400000-44000000000000000000−2i22i2000000000000
χ414-4-444-44-40004-40000000000000000000000002i2−2i200000000
χ424-4-444-44-40004-4000000000000000000000000−2i22i200000000
χ434-4-444-44-4000-44000000000000000000000000002i2−2i2000000
χ444-4-444-44-4000-4400000000000000000000000000−2i22i2000000
χ4588-8-8-888-8000000000000000000000000000000000000000
χ468-88-8-8-888000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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