Finite Group Databasebeta

← Group #177732

Character table — Group #177732

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444222444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-11-111-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11-1-111-11-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-111-11-1-1-1-1-111111111-1-1
χ9111111111-1-111111-1-111-1-1-1-1111-11-1-1-1111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-1-1-1-1111-11-1-1-11-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-1-1-1-1-1-1-11-1111111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-11111-11-1-11-11-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-11111-11-1-11-11-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1111-11-111-11-1-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1111-11-111-11-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-222222-200000000-200000000000000
χ1822222222222-2-2-2-22-2-2-2-22-2-2200000000200000000000000
χ19222222222-2-2-2-2-2-222222-2-2-2200000000-200000000000000
χ20222222222-2-2-2-2-2-2222-2-2-222-200000000200000000000000
χ2122222222-22222-2-2-22-200-20000200-2-202000000000000000
χ2222222222-22222-2-2-22-200-20000-200220-2000000000000000
χ2322222222-222-2-222-2-2200-200020-2-20020000000000000000
χ2422222222-222-2-222-2-2200-2000-202200-20000000000000000
χ2522222222-2-2-222-2-2-2-220020000200-220-2000000000000000
χ2622222222-2-2-222-2-2-2-220020000-2002-202000000000000000
χ2722222222-2-2-2-2-222-22-200200020-2200-20000000000000000
χ2822222222-2-2-2-2-222-22-2002000-202-20020000000000000000
χ294444-4-4-4-44000000-4004-4000000000000000000000000000
χ304444-4-4-4-44000000-400-44000000000000000000000000000
χ314444-4-4-4-4-40000004000004i−4i000000000000000000000000
χ324444-4-4-4-4-4000000400000−4i4i000000000000000000000000
χ3344-4-44-44-4000004-4000000000000000000002i2−2i20000000000
χ3444-4-44-44-4000004-400000000000000000000−2i22i20000000000
χ3544-4-44-44-400000-440000000000000000002i2−2i2000000000000
χ3644-4-44-44-400000-44000000000000000000−2i22i2000000000000
χ374-44-4-444-40004-40000000000000000000000002i2−2i200000000
χ384-44-4-444-40004-4000000000000000000000000−2i22i200000000
χ394-44-4-444-4000-44000000000000000000000000002i2−2i2000000
χ404-44-4-444-4000-4400000000000000000000000000−2i22i2000000
χ414-4-44-4-44404-40000000000000000000000000000002-22-200
χ424-4-44-4-44404-4000000000000000000000000000000-22-2200
χ434-4-44-4-4440-440000000000000000000000000000002-2-2200
χ444-4-44-4-4440-44000000000000000000000000000000-222-200
χ4588-8-8-88-88000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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