Finite Group Databasebeta

← Group #344959

Character table — Group #344959

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-11
χ31111111111111111111111-1-111-1-111-1-111-1-1-1-1-111-1-1111-1-1-1-111-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111-1-11111
χ511111111111111111111-1-1111111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11-1
χ611111111111111111111-1-111-1-11111111111111-11-1-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11111-11111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111111-1-11-1
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-111-1111-1-1-1-1-1-1-1-1111-1
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1
χ11111111111111111111-1-111-1-111111111111111-11-1-1-11-1-11111-1-1-1-1-1-1
χ12111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111111-1-111-11
χ15111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1111111-11
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ17222222222-2-22-222-2-2-222002200-2-20022000000-20-2000000000000000
χ18222222222-2-22-222-2-2-22200-2-2002200-2-200000020-2000000000000000
χ19222222222-2-22-222-2-2-2-2-20022002200-2-2000000-202000000000000000
χ20222222222-2-22-222-2-2-2-2-200-2-200-2-20022000000202000000000000000
χ2122222222-222-22-2-22-2-200220022002200-2-200000-2000-2000000000000
χ2222222222-222-22-2-22-2-2002200-2-200-2-20022000002000-2000000000000
χ2322222222-222-22-2-22-2-200-2-2002200-2-2002200000-20002000000000000
χ2422222222-222-22-2-22-2-200-2-200-2-2002200-2-20000020002000000000000
χ2522-22-2-2-222-2-2-222-222-200000000000000002i2i−2i−2i0002i−2i02-20000000000
χ2622-22-2-2-222-2-2-222-222-200000000000000002i2i−2i−2i000−2i2i0-220000000000
χ2722-22-2-2-222-2-2-222-222-20000000000000000−2i−2i2i2i0002i−2i0-220000000000
χ2822-22-2-2-222-2-2-222-222-20000000000000000−2i−2i2i2i000−2i2i02-20000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-44-4-4400-40-440004-4000000000000000000000000000000000000
χ31444-4-44-4-4400-40-44000-44000000000000000000000000000000000000
χ32444-4-44-4-4-400404-40000000000000000000000000000000000022−220000
χ33444-4-44-4-4-400404-400000000000000000000000000000000000−22220000
χ3444-44-4-4-44444-4-44-4-4-4400000000000000000000000000000000000000
χ3544-44-4-4-44-4444-4-44-44-400000000000000000000000000000000000000
χ3644-44-4-4-44-4-4-444-444-4400000000000000000000000000000000000000
χ3744-4-44-44-440040-4-4000000000000000000000000000000000000022−2200
χ3844-4-44-44-440040-4-40000000000000000000000000000000000000−222200
χ3944-4-44-44-4-400-404400000004i−4i00000000000000000000000000000000
χ4044-4-44-44-4-400-40440000000−4i4i00000000000000000000000000000000
χ414-4444-4-4-400000000000000000022−22000022−222-22-2000000000000000000
χ424-4444-4-4-400000000000000000022−220000−2222-22-22000000000000000000
χ434-4444-4-4-4000000000000000000−2222000022−22-22-22000000000000000000
χ444-4444-4-4-4000000000000000000−22220000−22222-22-2000000000000000000
χ454-44-4-4-44404-40400-4000000000000000000000000000000002i2−2i2000000
χ464-44-4-4-44404-40400-400000000000000000000000000000000−2i22i2000000
χ474-44-4-4-4440-440-4004000000004-4000000000000000000000000000000
χ484-44-4-4-4440-440-400400000000-44000000000000000000000000000000
χ494-4-44-444-40000000000000000000022−222i2−2i2002i−2i−2i2i000000000000000000
χ504-4-44-444-40000000000000000000022−22−2i22i200−2i2i2i−2i000000000000000000
χ514-4-44-444-400000000000000000000−22222i2−2i200−2i2i2i−2i000000000000000000
χ524-4-44-444-400000000000000000000−2222−2i22i2002i−2i−2i2i000000000000000000
χ534-4-4-444-4404-40-400400000000000000000000000000000022−2200000000
χ544-4-4-444-4404-40-4004000000000000000000000000000000−222200000000
χ554-4-4-444-440-440400-400004i−4i0000000000000000000000000000000000
χ564-4-4-444-440-440400-40000−4i4i0000000000000000000000000000000000

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