Finite Group Databasebeta

← Group #305446

Character table — Group #305446

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422224444444488888888888844444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1-1111
χ511111111111111111111-1-111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111
χ611111111111111111111-1-111-1-111-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1
χ711111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111111
χ9111111111111111111-1-111-1-1111111-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11
χ10111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-111-1
χ11111111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1
χ12111111111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1111-1-1111111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-111-1-1-1-1-1-1-1-11
χ172222222222-2-2-222-2-2-2002200-2-200220022-2-2000000-20000000000000000
χ182222222222-2-2-222-2-2-2002200-2-200-2-200-2-22200000020000000000000000
χ192222222222-2-2-222-2-2-200-2-20022002200-2-222000000-20000000000000000
χ202222222222-2-2-222-2-2-200-2-2002200-2-20022-2-200000020000000000000000
χ2122222222-2-2222-2-22-2-22200-2-2002200-2-2000022000000000-200000000000
χ2222222222-2-2222-2-22-2-22200-2-200-2-200220000-2-2000000000200000000000
χ2322222222-2-2222-2-22-2-2-2-20022002200220000-2-2000000000-200000000000
χ2422222222-2-2222-2-22-2-2-2-2002200-2-200-2-2000022000000000200000000000
χ252-22-222-2-22222-2-2-2-22-22-22-22-22-2000000000000000002-200000000000000
χ262-22-222-2-22222-2-2-2-22-22-2-222-2-2200000000000000000-2200000000000000
χ272-22-222-2-22222-2-2-2-22-2-222-2-222-200000000000000000-2200000000000000
χ282-22-222-2-22222-2-2-2-22-2-22-22-22-22000000000000000002-200000000000000
χ292-22-222-2-222-2-22-2-22-22002-200-2200000000000000000000002i−2i2i−2i0000000
χ302-22-222-2-222-2-22-2-22-22002-200-220000000000000000000000−2i2i−2i2i0000000
χ312-22-222-2-222-2-22-2-22-2200-22002-200000000000000000000002i−2i−2i2i0000000
χ322-22-222-2-222-2-22-2-22-2200-22002-20000000000000000000000−2i2i2i−2i0000000
χ332-22-222-2-2-2-222-222-2-222-200-220000000000000000000002i−2i00000002i−2i000
χ342-22-222-2-2-2-222-222-2-222-200-22000000000000000000000−2i2i0000000−2i2i000
χ352-22-222-2-2-2-222-222-2-22-22002-20000000000000000000002i−2i0000000−2i2i000
χ362-22-222-2-2-2-222-222-2-22-22002-2000000000000000000000−2i2i00000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-444-4-4-44-40004-4000000000000000000000002222−22−2200000000000000000
χ3944-444-4-4-44-40004-400000000000000000000000−22−22222200000000000000000
χ4044-444-4-4-4-44000-4400000000000000000004-400000000000000000000000
χ4144-444-4-4-4-44000-440000000000000000000-4400000000000000000000000
χ4244-4-4-44-44004-4400-400000000004i−4i0000000000000000000000000000000
χ4344-4-4-44-44004-4400-40000000000−4i4i0000000000000000000000000000000
χ4444-4-4-44-4400-44-400400000000000000000000000000000000000022−2200000
χ4544-4-4-44-4400-44-4004000000000000000000000000000000000000−222200000
χ464-444-4-4-44000000000000000000000022−222i2−2i200002i−2i2i−2i00000000000000000
χ474-444-4-4-44000000000000000000000022−22−2i22i20000−2i2i−2i2i00000000000000000
χ484-444-4-4-440000000000000000000000−22222i2−2i20000−2i2i−2i2i00000000000000000
χ494-444-4-4-440000000000000000000000−2222−2i22i200002i−2i2i−2i00000000000000000
χ504-44-444-4-4-4-4-4-444444-400000000000000000000000000000000000000000
χ514-4-44-444-4004-4-4004000000000000000000004-4000000000000000000000
χ524-4-44-444-4004-4-400400000000000000000000-44000000000000000000000
χ534-4-44-444-400-44400-400000000000000000000002i2−2i2−2i22i200000000000000000
χ544-4-44-444-400-44400-40000000000000000000000−2i22i22i2−2i200000000000000000
χ554-4-4-44-4444-4000-440000000000000000000000000000000000000000022−220
χ564-4-4-44-4444-4000-4400000000000000000000000000000000000000000−22220
χ574-4-4-44-444-440004-400000000000004-400000000000000000000000000000
χ584-4-4-44-444-440004-40000000000000-4400000000000000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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