Finite Group Databasebeta

← Group #335913

Character table — Group #335913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11-11
χ3111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-11-1
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111-111-1-11-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1111-1-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-11-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-111-1-11
χ172222222222-22-2-2-22-2-200002200-2-22200220000-2-20000-200000000000000
χ182222222222-22-2-2-22-2-200002200-2-2-2-200-2-20000220000200000000000000
χ192222222222-22-2-2-22-2-20000-2-200222200-2-20000220000-200000000000000
χ202222222222-22-2-2-22-2-20000-2-20022-2-200220000-2-20000200000000000000
χ2122222222-2-22-2222-2-2-2222200220000-2-200000000000002-200-2000000000
χ2222222222-2-22-2222-2-2-2222200-2-20000-2-20000000000000-22002000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200220000220000000000000-2-2002000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-200-2-200002200000000000002200-2000000000
χ25222-2-2-22-22-20-200020022−2−22-200002i−2i2−22i−2i22−2−200i2i2−i2−i2000000i2−i20000000
χ26222-2-2-22-22-20-200020022−2−22-20000−2i2i2−2−2i2i22−2−200−i2−i2i2i2000000−i2i20000000
χ27222-2-2-22-22-20-200020022−2−2-2200002i−2i2−2−2i2i−2−22200−i2−i2i2i2000000i2−i20000000
χ28222-2-2-22-22-20-200020022−2−2-220000−2i2i2−22i−2i−2−22200i2i2−i2−i2000000−i2i20000000
χ29222-2-2-22-22-20-2000200−2−2222-200002i−2i−222i−2i−2−22200−i2−i2i2i2000000−i2i20000000
χ30222-2-2-22-22-20-2000200−2−2222-20000−2i2i−22−2i2i−2−22200i2i2−i2−i2000000i2−i20000000
χ31222-2-2-22-22-20-2000200−2−222-2200002i−2i−22−2i2i22−2−200i2i2−i2−i2000000−i2i20000000
χ32222-2-2-22-22-20-2000200−2−222-220000−2i2i−222i−2i22−2−200−i2−i2i2i2000000i2−i20000000
χ332-22-22-2-2222-2-22-22-2-2200000000000000002-22-20000000002i−2i000002i−2i000
χ342-22-22-2-2222-2-22-22-2-2200000000000000002-22-2000000000−2i2i00000−2i2i000
χ352-22-22-2-2222-2-22-22-2-220000000000000000-22-220000000002i−2i00000−2i2i000
χ362-22-22-2-2222-2-22-22-2-220000000000000000-22-22000000000−2i2i000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4-4404000-4002222−22−2200000000−2222000000000000000000000000000
χ39444-4-4-44-4-4404000-400−22−2222220000000022−22000000000000000000000000000
χ4044-444-4-4-4000000000022−2222−22000000000000000022−222-22-2000000000000000
χ4144-444-4-4-4000000000022−2222−220000000000000000−2222-22-22000000000000000
χ4244-444-4-4-40000000000−2222−2222000000000000000022−22-22-22000000000000000
χ4344-444-4-4-40000000000−2222−22220000000000000000−22222-22-2000000000000000
χ4444-4-4-44-4400404-4-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-4-4-44-4400404-4-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-4-44-4400-40-4440004-4-440000000000000000000000000000000000000
χ4744-4-4-44-4400-40-444000-444-40000000000000000000000000000000000000
χ484-444-44-4-44-404000-400000000000000000022−22−2222000000000000000000000
χ494-444-44-4-44-404000-4000000000000000000−222222−22000000000000000000000
χ504-444-44-4-4-440-4000400000000004i−4i0000000000000000000000000000000
χ514-444-44-4-4-440-400040000000000−4i4i0000000000000000000000000000000
χ524-44-44-4-44444-4-44-4-44-400000000000000000000000000000000000000000
χ534-44-44-4-44-4-444-44-44-4400000000000000000000000000000000000000000
χ544-44-44-4-44-4-4-444-4444-400000000000000000000000000000000000000000
χ554-4-44-4-4440040-4-44000000000000000000000000000000000000022−2200000
χ564-4-44-4-4440040-4-440000000000000000000000000000000000000−222200000
χ574-4-44-4-44400-4044-40000000004-4000000000000000000000000000000000
χ584-4-44-4-44400-4044-4000000000-44000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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