Finite Group Databasebeta

← Group #180712

Character table — Group #180712

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244444444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-1-11-1-11-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111-11-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-11-1-1-1-111-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-11-11-111-1-1-1111-1-1-1-11111-1-1-11
χ1211111111111111-1-1-1-11-11-11-111-1-1-11-1-11111-1-1-1-1111-1
χ1311111111111111-1-1-1-1-11-1-111-1-111-1111-1-111-1-1-1-111-11
χ1411111111111111-1-1-1-1-11-1-111-1-111-11-1-111-1-11111-1-11-1
χ1511111111111111-1-1-1-1-1-1-11-11111-11-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-11-11111-11-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-222-2-220200002-20-20000000000000000
χ18222222222-2-2-2-222-2-220-20000-22020000000000000000
χ19222222222-2-2-2-22-222-2020000-220-20000000000000000
χ20222222222-2-2-2-22-222-20-200002-2020000000000000000
χ2122222222-222-2-2-222-2-20002-200000-2200000000000000
χ2222222222-222-2-2-222-2-2000-22000002-200000000000000
χ2322222222-222-2-2-2-2-2220002200000-2-200000000000000
χ2422222222-222-2-2-2-2-222000-2-2000002200000000000000
χ2522222222-2-2-222-22-22-220-200-200200000000000000000
χ2622222222-2-2-222-22-22-2-20200200-200000000000000000
χ2722222222-2-2-222-2-22-2220-200200-200000000000000000
χ2822222222-2-2-222-2-22-22-20200-200200000000000000000
χ2944-444-4-4-404-400000000000000000000000000022−220000
χ3044-444-4-4-404-4000000000000000000000000000−22220000
χ3144-444-4-4-40-440000000000000000000000000000022−2200
χ3244-444-4-4-40-4400000000000000000000000000000−222200
χ3344-4-4-444-40004-400000000000000000002i2−2i20000000000
χ3444-4-4-444-40004-40000000000000000000−2i22i20000000000
χ3544-4-4-444-4000-44000000000000000002i2−2i2000000000000
χ3644-4-4-444-4000-4400000000000000000−2i22i2000000000000
χ374-4-44-44-4440000-400000000000000000000002i2−2i2000000
χ384-4-44-44-4440000-40000000000000000000000−2i22i2000000
χ394-4-44-44-44-4000040000000000000000000022−2200000000
χ404-4-44-44-44-40000400000000000000000000−222200000000
χ41888-8-8-8-88000000000000000000000000000000000000
χ428-888-8-88-8000000000000000000000000000000000000
χ438-88-888-8-8000000000000000000000000000000000000
χ448-8-8-88-888000000000000000000000000000000000000

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