Finite Group Databasebeta

← Group #180607

Character table — Group #180607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244444444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-1-1-1-11-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111-11-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-111-1-1-11-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-11-111-1-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111-11-1-1-1-11-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11111-11-1-1-1-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-11-11-11-11-1-1111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-11-11-11-11-1-11-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11-11-1-111-11-1111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11-11-1-111-11-11-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-111-11111-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1-111-11111-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-222-22-220-2000020-20000000000000000
χ18222222222-2-2-2-222-22-2-2020000-2020000000000000000
χ19222222222-2-2-2-22-22-2220-20000-2020000000000000000
χ20222222222-2-2-2-22-22-22-202000020-20000000000000000
χ2122222222-222-2-2-222-2-2000002-2000-2200000000000000
χ2222222222-222-2-2-222-2-200000-220002-200000000000000
χ2322222222-222-2-2-2-2-2220000022000-2-200000000000000
χ2422222222-222-2-2-2-2-22200000-2-20002200000000000000
χ2522222222-2-2-222-22-2-22020-2-2000200000000000000000
χ2622222222-2-2-222-22-2-220-2022000-200000000000000000
χ2722222222-2-2-222-2-222-2020-22000-200000000000000000
χ2822222222-2-2-222-2-222-20-202-2000200000000000000000
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
χ3344-4-4-444-440000-4000000000000000000000022−22000000
χ3444-4-4-444-440000-40000000000000000000000−2222000000
χ3544-4-4-444-4-400004000000000000000000002i2−2i200000000
χ3644-4-4-444-4-40000400000000000000000000−2i22i200000000
χ374-4-4-44-4440004-4000000000000000000022−220000000000
χ384-4-4-44-4440004-40000000000000000000−22220000000000
χ394-4-4-44-444000-440000000000000000022−22000000000000
χ404-4-4-44-444000-4400000000000000000−2222000000000000
χ41888-8-8-8-88000000000000000000000000000000000000
χ428-888-8-88-8000000000000000000000000000000000000
χ438-88-888-8-8000000000000000000000000000000000000
χ448-8-88-88-88000000000000000000000000000000000000

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