Finite Group Databasebeta

← Group #144792

Character table — Group #144792

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11222222244448888161616161616161616161616161616161616161632323232
order1222244442244888844444488888816161616161616162488
χ111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ92222222222222-2-2-2-2220000-2-20000000000000000
χ102222222222222-2-2-2-2-2-20000220000000000000000
χ11222222222-2-2-2-22-22-200000000000000000000002-2
χ12222222222-2-2-2-22-22-20000000000000000000000-22
χ13222222222-2-2-2-2-22-22000000000000000000002-200
χ14222222222-2-2-2-2-22-2200000000000000000000-2200
χ1522222-2-2-2-222-2-200000000002i−2i000022−2−2i2i2−i2−i20000
χ1622222-2-2-2-222-2-200000000002i−2i0000−2−222−i2−i2i2i20000
χ1722222-2-2-2-222-2-20000000000−2i2i000022−2−2−i2−i2i2i20000
χ1822222-2-2-2-222-2-20000000000−2i2i0000−2−222i2i2−i2−i20000
χ1922-2-222-22-22-22-22-2-22002i2i−2i−2i000000000000000000
χ2022-2-222-22-22-22-22-2-2200−2i−2i2i2i000000000000000000
χ2122-2-222-22-22-22-2-222-2000000002i2i−2i−2i000000000000
χ2222-2-222-22-22-22-2-222-200000000−2i−2i2i2i000000000000
χ2322-2-222-22-2-22-2222-2-200000000000000002i−2i2i−2i0000
χ2422-2-222-22-2-22-2222-2-20000000000000000−2i2i−2i2i0000
χ2522-2-222-22-2-22-22-2-2220000000000002-22-200000000
χ2622-2-222-22-2-22-22-2-222000000000000-22-2200000000
χ2722-2-22-22-22-222-200002-200000000002−2−222−2−220000
χ2822-2-22-22-22-222-200002-20000000000−222−2−222−20000
χ2922-2-22-22-22-222-20000-2200000000002−2−22−222−20000
χ3022-2-22-22-22-222-20000-220000000000−222−22−2−220000
χ3144444-4-4-4-4-4-4440000000000000000000000000000
χ32444-4-444-4-400000000002-22-2000000000000000000
χ33444-4-444-4-40000000000-22-22000000000000000000
χ34444-4-4-4-44400000000000000002-22-2000000000000
χ35444-4-4-4-4440000000000000000-22-22000000000000
χ3644-44-44-4-4400000000002i−2i−2i2i000000000000000000
χ3744-44-44-4-440000000000−2i2i2i−2i000000000000000000
χ3844-44-4-444-400000000000000002i−2i−2i2i000000000000
χ3944-44-4-444-40000000000000000−2i2i2i−2i000000000000
χ4044-4-44-44-444-4-440000000000000000000000000000
χ4116-16000000000000000000000000000000000000000

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