Finite Group Databasebeta

← Group #343403

Character table — Group #343403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422224444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-111-1-11-1
χ31111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-11
χ611111111111111111111-1-111-1-11111111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-11111-11
χ9111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-11
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ11111111111111111111-1-111-1-111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-11
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-11111111-1
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ1722222222222-2-2-2-22-2-22200220022-2-200000000-200-200000000000000
χ1822222222222-2-2-2-22-2-22200-2-200-2-22200000000200-200000000000000
χ1922222222222-2-2-2-22-2-2-2-2002200-2-22200000000-200200000000000000
χ2022222222222-2-2-2-22-2-2-2-200-2-20022-2-200000000200200000000000000
χ2122222222-2-2-22222-2-2-200220022000022-2-200000-2-2000000000000000
χ2222222222-2-2-22222-2-2-2002200-2-20000-2-22200000-22000000000000000
χ2322222222-2-2-22222-2-2-200-2-200220000-2-222000002-2000000000000000
χ2422222222-2-2-22222-2-2-200-2-200-2-2000022-2-20000022000000000000000
χ252-2-222-2-222-2-2-2-2222-22000000000000000022-2-200002-22-20000000000
χ262-2-222-2-222-2-2-2-2222-22000000000000000022-2-20000-22-220000000000
χ272-2-222-2-222-2-2-2-2222-220000000000000000-2-22200002-2-220000000000
χ282-2-222-2-222-2-2-2-2222-220000000000000000-2-2220000-222-20000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ304444-4-4-4-40000000000000000000022−220022−222-22-2000000000000000000
χ314444-4-4-4-40000000000000000000022−2200−2222-22-22000000000000000000
χ324444-4-4-4-400000000000000000000−22220022−22-22-22000000000000000000
χ334444-4-4-4-400000000000000000000−222200−22222-22-2000000000000000000
χ3444-4-444-4-444-40000-40000000000000000000000000000000022−22000000
χ3544-4-444-4-444-40000-400000000000000000000000000000000−2222000000
χ3644-4-444-4-4-4-44000040000004i−4i00000000000000000000000000000000
χ3744-4-444-4-4-4-4400004000000−4i4i00000000000000000000000000000000
χ3844-4-4-4-4440004-44-40000000000000000000000000000000000022−220000
χ3944-4-4-4-4440004-44-400000000000000000000000000000000000−22220000
χ4044-4-4-4-444000-44-44000004-40000000000000000000000000000000000
χ4144-4-4-4-444000-44-4400000-440000000000000000000000000000000000
χ424-44-44-44-44-440000-4004-4000000000000000000000000000000000000
χ434-44-44-44-44-440000-400-44000000000000000000000000000000000000
χ444-44-44-44-4-44-4000040000000000000000000000000000002i2−2i200000000
χ454-44-44-44-4-44-400004000000000000000000000000000000−2i22i200000000
χ464-44-4-44-440004-4-44000000000000000000000000000000000000022−2200
χ474-44-4-44-440004-4-440000000000000000000000000000000000000−222200
χ484-44-4-44-44000-444-40000000004-4000000000000000000000000000000
χ494-44-4-44-44000-444-4000000000-44000000000000000000000000000000
χ504-4-444-4-444-4-444-4-444-400000000000000000000000000000000000000
χ514-4-444-4-44-44444-4-4-4-4400000000000000000000000000000000000000
χ524-4-444-4-44-444-4-444-44-400000000000000000000000000000000000000
χ534-4-44-444-40000000000000000002i2−2i2002i2−2i2002-2-22000000000000000000
χ544-4-44-444-40000000000000000002i2−2i200−2i22i200-222-2000000000000000000
χ554-4-44-444-4000000000000000000−2i22i2002i2−2i200-222-2000000000000000000
χ564-4-44-444-4000000000000000000−2i22i200−2i22i2002-2-22000000000000000000

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