Finite Group Databasebeta

← Group #179142

Character table — Group #179142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11-11-1-1-11-1-111111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11-11-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1
χ911111111-1-1111111-1-111-1-1-111-11-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-111-1-1-111-11-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-111-1-1-1-111-11-1-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-111-1-1-1-111-11-1-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-1-1111-11-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-1-1111-11-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-1-111-11-11-1111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-1-111-11-11-11-1-11111-1-111-1-1-11
χ1722222222222-2-22-2-2-2-2222-2-20-20002000000000000000000
χ1822222222222-2-22-2-2-2-2-2-222202000-2000000000000000000
χ192222222222-22-2-22-2-2200-20020-2000-200200000000000000
χ202222222222-22-2-22-2-2200-200-202000200-200000000000000
χ212222222222-2-22-2-222-200-2000002-200-22000000000000000
χ222222222222-2-22-2-222-200-200000-22002-2000000000000000
χ2322222222-2-22-2-22-2-22222-2220-2000-2000000000000000000
χ2422222222-2-22-2-22-2-222-2-2-2-2-2020002000000000000000000
χ2522222222-2-2-22-2-22-22-200200202000-200-200000000000000
χ2622222222-2-2-22-2-22-22-200200-20-2000200200000000000000
χ2722222222-2-2-2-22-2-22-22002000002200-2-2000000000000000
χ2822222222-2-2-2-22-2-22-2200200000-2-20022000000000000000
χ2944-44-44-4-4000400-40000000000000000000022−220000000000
χ3044-44-44-4-4000400-400000000000000000000−22220000000000
χ3144-44-44-4-4000-40040000000000000000002i2−2i2000000000000
χ3244-44-44-4-4000-4004000000000000000000−2i22i2000000000000
χ3344-4-44-44-400400-400004-4000000000000000000000000000
χ3444-4-44-44-400400-40000-44000000000000000000000000000
χ3544-4-44-44-400-400400000004i−4i000000000000000000000000
χ3644-4-44-44-400-40040000000−4i4i000000000000000000000000
χ374-44-4-444-44i−4i0000000000000000000000000002-22i−2i000000
χ384-44-4-444-44i−4i000000000000000000000000000-22−2i2i000000
χ394-44-4-444-4−4i4i0000000000000000000000000002-2−2i2i000000
χ404-44-4-444-4−4i4i000000000000000000000000000-222i−2i000000
χ414-4-44-4-4440000400-40000000000000000000000000002i2−2i200
χ424-4-44-4-4440000400-4000000000000000000000000000−2i22i200
χ434-4-44-4-4440000-4004000000000000000000000000022−220000
χ444-4-44-4-4440000-40040000000000000000000000000−22220000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-8888-8-8-8000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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