Finite Group Databasebeta

← Group #349986

Character table — Group #349986

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222244444444444444444444442244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-111-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-111-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-111-111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222-2-2200-2-2-222000000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222200-222-2-2000000000000000000000000000000
χ19222222222222-2-222-2-2-2-22222-2002-2-2-2-2000000000000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-2-2-20022222000000000000000000000000000000
χ2122222222-2-2-2-2222222-2-20000-222-20000-2-222-2-2000000000000000000000000
χ2222222222-2-2-2-2222222-2-20000-2-2-2-2000022-2-222000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2220000-2002000000000022-2-222-2-20000000000000000
χ2422222222-2-2-2-222-2-2-2-2220000-20020000000000-2-222-2-2220000000000000000
χ2522222222-2-2-2-2-2-222-2-2220000200-2000000000022-2-2-2-2220000000000000000
χ2622222222-2-2-2-2-2-222-2-2220000200-20000000000-2-22222-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2000022220000-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-200002-2-2200002222-2-2000000000000000000000000
χ29222-22-2-2-22-22-200002-22-2002-20000002-2002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ30222-22-2-2-22-22-200002-22-2002-20000002-200−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ31222-22-2-2-22-22-200002-22-200-22000000-22002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ32222-22-2-2-22-22-200002-22-200-22000000-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ33222-22-2-2-22-22-20000-22-22002-202i−2i000-222i−2i000000002i−2i2i−2i0000000000000000
χ34222-22-2-2-22-22-20000-22-22002-20−2i2i000-22−2i2i00000000−2i2i−2i2i0000000000000000
χ35222-22-2-2-22-22-20000-22-2200-2202i−2i0002-22i−2i00000000−2i2i−2i2i0000000000000000
χ36222-22-2-2-22-22-20000-22-2200-220−2i2i0002-2−2i2i000000002i−2i2i−2i0000000000000000
χ37222-22-2-2-2-22-2200002-2-222-20000002-200002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ38222-22-2-2-2-22-2200002-2-222-20000002-20000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ39222-22-2-2-2-22-2200002-2-22-22000000-2200002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ40222-22-2-2-2-22-2200002-2-22-22000000-220000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ41222-22-2-2-2-22-220000-222-22-20002i−2i0-2200−2i2i0000−2i2i2i−2i00000000000000000000
χ42222-22-2-2-2-22-220000-222-22-2000−2i2i0-22002i−2i00002i−2i−2i2i00000000000000000000
χ43222-22-2-2-2-22-220000-222-2-220002i−2i02-200−2i2i00002i−2i−2i2i00000000000000000000
χ44222-22-2-2-2-22-220000-222-2-22000−2i2i02-2002i−2i0000−2i2i2i−2i00000000000000000000
χ4544-44-44-4-400004i−4i000000000000000000000000000000002-22i−2i000000000000
χ4644-44-44-4-400004i−4i00000000000000000000000000000000-22−2i2i000000000000
χ4744-44-44-4-40000−4i4i000000000000000000000000000000002-2−2i2i000000000000
χ4844-44-44-4-40000−4i4i00000000000000000000000000000000-222i−2i000000000000
χ494-444-4-44-44-4-440000000000000000000000000000000000000000000000002i2−2i2
χ504-444-4-44-44-4-44000000000000000000000000000000000000000000000000−2i22i2
χ514-444-4-44-4-444-400000000000000000000000000000000000000000000002i2−2i200
χ524-444-4-44-4-444-40000000000000000000000000000000000000000000000−2i22i200
χ534-44-4-44-4444-4-40000000000000000000000000000000000000000002i2−2i2000000
χ544-44-4-44-4444-4-4000000000000000000000000000000000000000000−2i22i2000000
χ554-44-4-44-44-4-4440000000000000000000000000000000000000000000022−220000
χ564-44-4-44-44-4-44400000000000000000000000000000000000000000000−22220000
χ574-4-4-4444-40000004-400000000000000000000000000000000002-22-200000000
χ584-4-4-4444-40000004-40000000000000000000000000000000000-22-2200000000
χ594-4-4-4444-4000000-4400000000000000000000000000000000002-2-2200000000
χ604-4-4-4444-4000000-440000000000000000000000000000000000-222-200000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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