Finite Group Databasebeta

← Group #299789

Character table — Group #299789

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222224444448888888161616161616161616161616161616161616161616163232
order12224444442444884444888222444448888888888888824
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11111-1-1
χ61111111111111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1
χ911111111111111-1-11111-1-1-11-11-11-11-11111-1-1-1-1-1-111-1-1-11
χ1011111111111111-1-11111-1-1-11-11-11-11-1-1-1-1-1-1-11111-1-1111-1
χ1111111111111111-1-11111-1-1-1-11-11-11-111111-1-1-1-1-1-1-1-1111-1
χ1211111111111111-1-11111-1-1-1-11-11-11-11-1-1-1-1-1-1111111-1-1-11
χ1311111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-11111-1-11-1
χ1411111111111111-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111111-1-1-1-111-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-111-1-111-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-111-1-11-1
χ172222222-2-22-22-2-2220000-22-2002-200-220000000000000000
χ182222222-2-22-22-2-2220000-22-200-22002-20000000000000000
χ192222222-2-22-22-2-2-2-200002-22002200-2-20000000000000000
χ202222222-2-22-22-2-2-2-200002-2200-2-200220000000000000000
χ2122222-2-2222-2-22-2220000-2-222-200-22000000000000000000
χ2222222-2-2222-2-22-2220000-2-22-22002-2000000000000000000
χ2322222-2-2222-2-22-2-2-2000022-22200-2-2000000000000000000
χ2422222-2-2222-2-22-2-2-2000022-2-2-20022000000000000000000
χ2522222-2-2-2-222-2-222222-2-22-2-20000000000002-20000000000
χ2622222-2-2-2-222-2-2222-2-2222-2-2000000000000-220000000000
χ2722222-2-2-2-222-2-22-2-222-2-2-222000000000000-220000000000
χ2822222-2-2-2-222-2-22-2-2-2-222-2220000000000002-20000000000
χ292222-22222-2-2-2-22002-22-2000000000002-22-2000000000000
χ302222-22222-2-2-2-22002-22-200000000000-22-22000000000000
χ312222-22222-2-2-2-2200-22-22000000000002-2-22000000000000
χ322222-22222-2-2-2-2200-22-2200000000000-222-2000000000000
χ332222-2-2-2-2-2-2-2222002-2-22000000000000000002-22-2000000
χ342222-2-2-2-2-2-2-2222002-2-2200000000000000000-22-22000000
χ352222-2-2-2-2-2-2-222200-222-2000000000000000002-2-22000000
χ362222-2-2-2-2-2-2-222200-222-200000000000000000-222-2000000
χ374444-444-4-4-44-44-4000000000000000000000000000000000
χ384444-4-4-444-444-4-4000000000000000000000000000000000
χ3944-4-4-40000400004i−4i00000000000000000000000002-22i−2i00
χ4044-4-4-40000400004i−4i0000000000000000000000000-22−2i2i00
χ4144-4-4-4000040000−4i4i00000000000000000000000002-2−2i2i00
χ4244-4-4-4000040000−4i4i0000000000000000000000000-222i−2i00
χ4388-8-880000-80000000000000000000000000000000000000
χ448-88-80008-800000000000000000000000000000000000000
χ458-88-8000-8800000000000000000000000000000000000000
χ468-8-8808-80000000000000000000000000000000000000000
χ478-8-880-880000000000000000000000000000000000000000

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