Finite Group Databasebeta

← Group #484652

Character table — Group #484652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222224444888888881616161616161616161616161616161616161616161616161616
order1222244442244444488882222244444444444881616161616161616
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111111-1-1-1-1111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ71111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-11111-1-1-1-1
χ911-1-111-1-11-111-111-1-1-1-1111-111-1-11-11-11-111-1-11-111-1-111-1-1
χ1011-1-111-1-11-111-111-1-1-1-1111-11-11-1-111-11-1-1-1111-1-1-111-1-111
χ1111-1-111-1-11-111-111-1-1-1-111-11-11-111-1-11-1111-1-11-1-1-111-1-111
χ1211-1-111-1-11-111-111-1-1-1-111-11-1-111-11-11-11-1-1111-111-1-111-1-1
χ1311-1-111-1-11-111-1-1-111-1-1111-1-11-111-11-1-11-1-111-1111-1-1-1-111
χ1411-1-111-1-11-111-1-1-111-1-1111-1-1-111-111-1-1111-1-1-11-1-11111-1-1
χ1511-1-111-1-11-111-1-1-111-1-111-1111-1-11-1-111-1-1-111-11-1-11111-1-1
χ1611-1-111-1-11-111-1-1-111-1-111-111-11-1-11-111-111-1-1-1111-1-1-1-111
χ1722222222222222222-2-2-2-20000000000000000-2-200000000
χ182222222222222-2-2-2-2-2-2-2-200000000000000002200000000
χ19222222222-2-2-2-200002-22-20020020000-2-200000000000000
χ20222222222-2-2-2-200002-22-200-200-200002200000000000000
χ21222222222-2-2-2-20000-22-2222000000-2-20000000000000000
χ22222222222-2-2-2-20000-22-22-2-2000000220000000000000000
χ2322222-2-2-2-222-2-22-22-200000000000000000000002−22−22−22−2
χ2422222-2-2-2-222-2-22-22-20000000000000000000000−22−22−22−22
χ2522222-2-2-2-222-2-2-22-2200000000000000000000002−22−2−22−22
χ2622222-2-2-2-222-2-2-22-220000000000000000000000−22−222−22−2
χ2722-2-222-2-222-2-2200002-2-222-2000000-220000000000000000
χ2822-2-222-2-222-2-2200002-2-22-220000002-20000000000000000
χ2922-2-222-2-222-2-220000-222-200200-20000-2200000000000000
χ3022-2-222-2-222-2-220000-222-200-200200002-200000000000000
χ3122-2-222-2-22-222-222-2-222-2-20000000000000000-2200000000
χ3222-2-222-2-22-222-2-2-22222-2-200000000000000002-200000000
χ3322-2-22-222-2-22-222-2-2200000000000000000000002−2−222−2−22
χ3422-2-22-222-2-22-222-2-220000000000000000000000−222−2−222−2
χ3522-2-22-222-2-22-22-222-200000000000000000000002−2−22−222−2
χ3622-2-22-222-2-22-22-222-20000000000000000000000−222−22−2−22
χ3744444-4-4-4-4-4-4440000000000000000000000000000000000
χ38444-4-444-4-40000000000000000000000002i−2i2i−2i0000000000
χ39444-4-444-4-4000000000000000000000000−2i2i−2i2i0000000000
χ40444-4-4-4-444000000000000000220-2-2000000000000000000
χ41444-4-4-4-444000000000000000-2-2022000000000000000000
χ4244-44-44-44-40000000000000000000000002i−2i−2i2i0000000000
χ4344-44-44-44-4000000000000000000000000−2i2i2i−2i0000000000
χ4444-44-4-44-440000000000000002-20-22000000000000000000
χ4544-44-4-44-44000000000000000-2202-2000000000000000000
χ4644-4-44-444-44-44-40000000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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