Finite Group Databasebeta

← Group #344752

Character table — Group #344752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1111-1-1-1-1-1-111-1-11-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111-1-11111
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1-1-111-11
χ611111111111111111111-1-111-1-1111111111111-11-1-1-11-1-11111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-11
χ9111111111111111111-1-1111111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-11
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-111-1-1
χ11111111111111111111-1-111-1-1111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1-1-11
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ172222222222-22-2-2-22-2-222002200220000-2-200000-2000-2000000000000
χ182222222222-22-2-2-22-2-22200-2-200-2-2000022000002000-2000000000000
χ192222222222-22-2-2-22-2-2-2-2002200-2-200002200000-20002000000000000
χ202222222222-22-2-2-22-2-2-2-200-2-200220000-2-20000020002000000000000
χ2122222222-2-22-2222-2-2-20022002200-2-222000000-20-2000000000000000
χ2222222222-2-22-2222-2-2-2002200-2-20022-2-2000000-202000000000000000
χ2322222222-2-22-2222-2-2-200-2-200220022-2-200000020-2000000000000000
χ2422222222-2-22-2222-2-2-200-2-200-2-200-2-222000000202000000000000000
χ2522-2-2-222-2-2-222-22-222-200000000000000002i2i−2i−2i0002-202i−2i0000000000
χ2622-2-2-222-2-2-222-22-222-200000000000000002i2i−2i−2i000-220−2i2i0000000000
χ2722-2-2-222-2-2-222-22-222-20000000000000000−2i−2i2i2i0002-20−2i2i0000000000
χ2822-2-2-222-2-2-222-22-222-20000000000000000−2i−2i2i2i000-2202i−2i0000000000
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
χ3444-4-44-4-4400000000000000000022−22002i2−2i2002i−2i−2i2i000000000000000000
χ3544-4-44-4-4400000000000000000022−2200−2i22i200−2i2i2i−2i000000000000000000
χ3644-4-44-4-44000000000000000000−2222002i2−2i200−2i2i2i−2i000000000000000000
χ3744-4-44-4-44000000000000000000−222200−2i22i2002i−2i−2i2i000000000000000000
χ3844-4-4-444-4444-4-44-4-4-4400000000000000000000000000000000000000
χ3944-4-4-444-444-4-44-44-44-400000000000000000000000000000000000000
χ4044-4-4-444-4-4-4-444-444-4400000000000000000000000000000000000000
χ414-44-444-4-44-404000-40000004-400000000000000000000000000000000
χ424-44-444-4-44-404000-4000000-4400000000000000000000000000000000
χ434-44-444-4-4-440-40004000000000000000000000000000000002i2−2i2000000
χ444-44-444-4-4-440-4000400000000000000000000000000000000−2i22i2000000
χ454-44-4-4-44400404-4-4000000000000000000000000000000000002i2−2i20000
χ464-44-4-4-44400404-4-400000000000000000000000000000000000−2i22i20000
χ474-44-4-4-44400-40-444000004-40000000000000000000000000000000000
χ484-44-4-4-44400-40-44400000-440000000000000000000000000000000000
χ494-4-444-44-40040-4-440000000004i−4i000000000000000000000000000000
χ504-4-444-44-40040-4-44000000000−4i4i000000000000000000000000000000
χ514-4-444-44-400-4044-400000000000000000000000000000000000002i2−2i200
χ524-4-444-44-400-4044-40000000000000000000000000000000000000−2i22i200
χ534-4-44-44-444-40-40004004-4000000000000000000000000000000000000
χ544-4-44-44-444-40-4000400-44000000000000000000000000000000000000
χ554-4-44-44-44-4404000-40000000000000000000000000000002i2−2i200000000
χ564-4-44-44-44-4404000-4000000000000000000000000000000−2i22i200000000

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