Finite Group Databasebeta

← Group #508491

Character table — Group #508491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222224444444488888888881616161616161616161616161616161632323232
order1222244442244888822448888888888888816161616161616164488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111-1-1-1-111111-11-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111111-1-1-1-111111-11-1-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ11111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ12111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ13111111111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ14111111111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ15111111111-1-1-1-11111-11-11-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ16111111111-1-1-1-11111-11-11-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-22-22-222-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-22-222222-2-200000000000000000000
χ2122-2-2222-2-22-22-222-2-200002-2000000002i−2i2i−2i000000000000
χ2222-2-2222-2-22-22-222-2-200002-200000000−2i2i−2i2i000000000000
χ2322-2-2222-2-22-22-2-2-2220000-2200002i−2i2i−2i0000000000000000
χ2422-2-2222-2-22-22-2-2-2220000-220000−2i2i−2i2i0000000000000000
χ2522-2-2222-2-2-22-2222-2-20000-22000000002i−2i−2i2i000000000000
χ2622-2-2222-2-2-22-2222-2-20000-2200000000−2i2i2i−2i000000000000
χ2722-2-2222-2-2-22-22-2-22200002-200002i−2i−2i2i0000000000000000
χ2822-2-2222-2-2-22-22-2-22200002-20000−2i2i2i−2i0000000000000000
χ2922-2-22-2-2222-2-22000022-2-2000000000000002−22−22−22−20000
χ3022-2-22-2-2222-2-22000022-2-200000000000000−22−22−22−220000
χ3122-2-22-2-2222-2-220000-2-222000000000000002−22−2−22−220000
χ3222-2-22-2-2222-2-220000-2-22200000000000000−22−222−22−20000
χ3322-2-22-2-222-222-200002-2-22000000000000002−2−222−2−220000
χ3422-2-22-2-222-222-200002-2-2200000000000000−222−2−222−20000
χ3522-2-22-2-222-222-20000-222-2000000000000002−2−22−222−20000
χ3622-2-22-2-222-222-20000-222-200000000000000−222−22−2−220000
χ3744444-4-4-4-444-4-40000000000000000000000000000000000
χ3844444-4-4-4-4-4-4440000000000000000000000000000000000
χ39444-4-44-44-400000000000000004i−4i00000000000000000000
χ40444-4-44-44-40000000000000000−4i4i00000000000000000000
χ41444-4-4-44-4400004-44-4000000000000000000000000000000
χ42444-4-4-44-440000-44-44000000000000000000000000000000
χ4344-44-44-4-44000000000000004i−4i0000000000000000000000
χ4444-44-44-4-4400000000000000−4i4i0000000000000000000000
χ4544-44-4-444-400004-4-44000000000000000000000000000000
χ4644-44-4-444-40000-444-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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