Finite Group Databasebeta

← Group #477021

Character table — Group #477021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-111-1-1-1-1-1-1-1-11-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-11111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-1111-11111-1-111-1-11-1-1-1-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111-11-1-1-1-1-1-111-1-1-111111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1111111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-111111-1-1-1-111-1111-1-1-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-111-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111
χ1722222222-2-2-2-22-2222-2-2-20000000022-2-20002002-20000000-200000000
χ1822222222-2-2-2-22-2222-2-2-20000000022-2-2000-200-220000000200000000
χ1922222222-2-2-2-22-2222-2-2-200000000-2-222000200-220000000-200000000
χ2022222222-2-2-2-22-2222-2-2-200000000-2-222000-2002-20000000200000000
χ2122222222-2-2-2-2-22-2-2-2222000022-2-2000000202-200000000-2000000000
χ2222222222-2-2-2-2-22-2-2-2222000022-2-2000000-20-22000000002000000000
χ2322222222-2-2-2-2-22-2-2-22220000-2-22200000020-2200000000-2000000000
χ2422222222-2-2-2-2-22-2-2-22220000-2-222000000-202-2000000002000000000
χ2522-2-2-2-2222-2-22-2-222-222-222-2-2000000002-20000002-200000000000000
χ2622-2-2-2-2222-2-22-2-222-222-222-2-200000000-22000000-2200000000000000
χ2722-2-2-2-2222-2-22-2-222-222-2-2-222000000002-2000000-2200000000000000
χ2822-2-2-2-2222-2-22-2-222-222-2-2-22200000000-220000002-200000000000000
χ292-222-2-2-22-22-22-2-22-222-2200000000000000000000002-200002-200002-2
χ302-222-2-2-22-22-22-2-22-222-2200000000000000000000002-20000-220000-22
χ312-222-2-2-22-22-22-2-22-222-220000000000000000000000-2200002-20000-22
χ322-222-2-2-22-22-22-2-22-222-220000000000000000000000-220000-2200002-2
χ332-2-2-222-22-2-222-2-2-222-2220000000000000000000000002-200002-22-200
χ342-2-2-222-22-2-222-2-2-222-2220000000000000000000000002-20000-22-2200
χ352-2-2-222-22-2-222-2-2-222-222000000000000000000000000-2200002-2-2200
χ362-2-2-222-22-2-222-2-2-222-222000000000000000000000000-220000-222-200
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ3844-4-4-4-4444-4-4444-4-44-4-44000000000000000000000000000000000000
χ3944-4-4-4-444-444-44-4-4-4444-4000000000000000000000000000000000000
χ4044-4-4-4-444-444-4-4444-4-4-44000000000000000000000000000000000000
χ414-444-4-4-444-44-44-4-44-44-44000000000000000000000000000000000000
χ424-444-4-4-444-44-4-444-44-44-4000000000000000000000000000000000000
χ434-444-4-4-44-44-4444-44-4-44-4000000000000000000000000000000000000
χ444-44-44-44-40000000000002-22-2002i2−2i2002i2−2i2000000000000000000000000
χ454-44-44-44-40000000000002-22-200−2i22i200−2i22i2000000000000000000000000
χ464-44-44-44-4000000000000-22-22002i2−2i200−2i22i2000000000000000000000000
χ474-44-44-44-4000000000000-22-2200−2i22i2002i2−2i2000000000000000000000000
χ484-4-44-444-40000000000002-2-222i2−2i2002i2−2i200000000000000000000000000
χ494-4-44-444-40000000000002-2-22−2i22i200−2i22i200000000000000000000000000
χ504-4-44-444-4000000000000-222-22i2−2i200−2i22i200000000000000000000000000
χ514-4-44-444-4000000000000-222-2−2i22i2002i2−2i200000000000000000000000000
χ524-4-4-444-4444-4-44-44-4-4-444000000000000000000000000000000000000
χ534-4-4-444-4444-4-4-44-4444-4-4000000000000000000000000000000000000
χ544-4-4-444-44-4-444444-4-44-4-4000000000000000000000000000000000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ5688-888-8-8-8000000000000000000000000000000000000000000000000

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