Finite Group Databasebeta

← Group #503231

Character table — Group #503231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222444444444888888881616161616161616161616161616161616161616163232
order12244882224444482448888822224444444444448888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ51111111111-1-11111-1-1-1-1-11111111-1-11111-1-111-1-1-111-1-1-1-1
χ61111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-11111
χ71111111111-1-11111-1-1-1-1-1111-1-1111111-1-111-1-111-1-1-111-1-1
χ81111111111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-111-1-111
χ911111-1-111111111-1111-1-1-1-1-11-11-11-11-11-11-11111-1-1-1-1-11-1
χ1011111-1-111111111-1111-1-1-1-1-11-1-111-1-111-11-1-1-1-1-1-11111-11
χ1111111-1-111111111-1111-1-1-1-1-1-111-1-111-1-11-11-1-1-1-1-111111-1
χ1211111-1-111111111-1111-1-1-1-1-1-11-11-11-11-11-111111-1-1-1-1-1-11
χ1311111-1-1111-1-1111-1-1-1-111-1-1-11-11-1-111-11-1-1111-1-11-1-111-11
χ1411111-1-1111-1-1111-1-1-1-111-1-1-11-1-11-11-111-1-11-1-111111-1-11-1
χ1511111-1-1111-1-1111-1-1-1-111-1-1-1-111-11-11-1-111-1-1-111111-1-1-11
χ1611111-1-1111-1-1111-1-1-1-111-1-1-1-11-111-1-11-111-111-1-11-1-1111-1
χ1722222222-2-222-2-222-2-22222-2-20000000000000000-2000000
χ1822222222-2-2-2-2-2-22222-2-2-22-2-200000000000000002000000
χ192222222-22-2002-2-2200000-22-20000220000-2-200000000000
χ202222222-22-2002-2-2200000-22-20000-2-200002200000000000
χ212222222-2-2200-22-2200000-2-2222000000-2-20000000000000
χ222222222-2-2200-22-2200000-2-22-2-2000000220000000000000
χ2322222-2-22-2-222-2-22-2-2-22-2-2-22200000000000000002000000
χ2422222-2-22-2-2-2-2-2-22-222-222-2220000000000000000-2000000
χ2522222-2-2-22-2002-2-2-2000002-2200002-20000-2200000000000
χ2622222-2-2-22-2002-2-2-2000002-220000-2200002-200000000000
χ2722222-2-2-2-2200-22-2-20000022-22-2000000-220000000000000
χ2822222-2-2-2-2200-22-2-20000022-2-220000002-20000000000000
χ29222-2-200-22222-2-220-22-2000000000000000002-22-20000000
χ30222-2-200-22222-2-220-22-200000000000000000-22-220000000
χ31222-2-200-222-2-2-2-2202-22000000000000000002-2-220000000
χ32222-2-200-222-2-2-2-2202-2200000000000000000-222-20000000
χ33222-2-200-2-2-22222202-2-200000000000000000000002-22-200
χ34222-2-200-2-2-22222202-2-20000000000000000000000-22-2200
χ35222-2-200-2-2-2-2-22220-22200000000000000000000002-2-2200
χ36222-2-200-2-2-2-2-22220-2220000000000000000000000-222-200
χ37444-4-40044-400-44-400000000000000000000000000000000
χ38444-4-4004-44004-4-400000000000000000000000000000000
χ3944-4-444400000000-400000000002200-2-2000000000000000
χ4044-4-444400000000-40000000000-2-20022000000000000000
χ4144-4-44-4-400000000400000000002-200-22000000000000000
χ4244-4-44-4-40000000040000000000-22002-2000000000000000
χ4388-88-8000000000000000000000000000000000000000000
χ448-800042−420004i−4i00000002i2−2i200000000000000000000000000
χ458-800042−42000−4i4i0000000−2i22i200000000000000000000000000
χ468-8000−42420004i−4i0000000−2i22i200000000000000000000000000
χ478-8000−4242000−4i4i00000002i2−2i200000000000000000000000000

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