Finite Group Databasebeta

← Group #297313

Character table — Group #297313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444888888882224444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-11-1-11-1-111-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-11111
χ9111111111111-1-1-1-1111111-1-1111111-1-1-1-11-11-1-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1111111-1-1-1-1-11-1-1-11-11-11-1-111-1-11111-1-1
χ11111111111111-1-1-1-1111111-1-111-1-1-1-111111-11-1-1-11-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-11-11-1111-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-11111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-11-1-11111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11111-1-111-111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-200000000000-2200000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-222000000000002-200000000000000000
χ19222222222222-2-222-2-2-2-222-22-2-2000000000002-200000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-222200000000000-2200000000000000000
χ2122222222-2-2-2-2222222-2-200-2-20000000000220000-2-200000000000000
χ2222222222-2-2-2-2222222-2-200-2-20000000000-2-200002200000000000000
χ2322222222-2-2-2-222-2-2-2-22200-22000000000000200-200-22000000000000
χ2422222222-2-2-2-222-2-2-2-22200-22000000000000-2002002-2000000000000
χ2522222222-2-2-2-2-2-222-2-222002-2000000000000200200-2-2000000000000
χ2622222222-2-2-2-2-2-222-2-222002-2000000000000-200-20022000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2002200000000002-20000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-200220000000000-2200002-200000000000000
χ292-2-2-22-222-2-22200002-22-22-2002-2000022-2-2000000000000000000002-2
χ302-2-2-22-222-2-22200002-22-22-2002-20000-2-22200000000000000000000-22
χ312-2-2-22-222-2-22200002-22-2-2200-22000022-2-200000000000000000000-22
χ322-2-2-22-222-2-22200002-22-2-2200-220000-2-222000000000000000000002-2
χ332-2-2-22-222-2-2220000-22-222-200-2222-2-200000000000000000000002-200
χ342-2-2-22-222-2-2220000-22-222-200-22-2-2220000000000000000000000-2200
χ352-2-2-22-222-2-2220000-22-22-22002-222-2-20000000000000000000000-2200
χ362-2-2-22-222-2-2220000-22-22-22002-2-2-22200000000000000000000002-200
χ3744-4-4-444-44-44-40000000000000000002i2−2i22i2−2i20000000000000000000000
χ3844-4-4-444-44-44-4000000000000000000−2i22i2−2i22i20000000000000000000000
χ3944-4-4-444-4-44-44000000000000002i2−2i22i2−2i200000000000000000000000000
χ4044-4-4-444-4-44-4400000000000000−2i22i2−2i22i200000000000000000000000000
χ414-444-4-44-44-4-44000000000000002i2−2i2−2i22i200000000000000000000000000
χ424-444-4-44-44-4-4400000000000000−2i22i22i2−2i200000000000000000000000000
χ434-444-4-44-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ444-444-4-44-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ454-44-444-4-40000004-4000000000000000000000000000000002i−2i2i−2i0000
χ464-44-444-4-40000004-400000000000000000000000000000000−2i2i−2i2i0000
χ474-44-444-4-4000000-44000000000000000000000000000000002i−2i−2i2i0000
χ484-44-444-4-4000000-4400000000000000000000000000000000−2i2i2i−2i0000
χ494-4-44-44-4400004-40000000000000000000000000000002-22-200000000
χ504-4-44-44-4400004-4000000000000000000000000000000-22-2200000000
χ514-4-44-44-440000-440000000000000000000000000000002-2-2200000000
χ524-4-44-44-440000-44000000000000000000000000000000-222-200000000
χ534-4-4-44-44444-4-400004-4-44000000000000000000000000000000000000
χ544-4-4-44-44444-4-40000-444-4000000000000000000000000000000000000
χ55888-8-8-8-88000000000000000000000000000000000000000000000000
χ5688-888-8-8-8000000000000000000000000000000000000000000000000

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