Finite Group Databasebeta

← Group #308264

Character table — Group #308264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-111-1
χ172222222222-22-2-2-222222-2-2000000-2-200002200220000-2-2000000000-2000000000
χ182222222222-22-2-2-222222-2-2000000-2-20000-2-200-2-20000220000000002000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000002200002200-2-2000022000000000-2000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000220000-2-200220000-2-20000000002000000000
χ2122222222-2-22-2222-20000-2-22222220022-2-200-2-20000000000000000-20000000000
χ2222222222-2-22-2222-20000-2-22222-2-200-2-22200-2-2000000000000000020000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-22200-2-2-2-20022000000000000000020000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-2-2-200222200220000000000000000-20000000000
χ25222-2-2-2-222-20-2000222-2-20022−2−2000000002i−2i2−22i−2i22−2−200i2i2−i2−i200000000i2−i200000
χ26222-2-2-2-222-20-2000222-2-20022−2−200000000−2i2i2−2−2i2i22−2−200−i2−i2i2i200000000−i2i200000
χ27222-2-2-2-222-20-2000222-2-200−2−222000000002i−2i−222i−2i−2−22200−i2−i2i2i200000000−i2i200000
χ28222-2-2-2-222-20-2000222-2-200−2−22200000000−2i2i−22−2i2i−2−22200i2i2−i2−i200000000i2−i200000
χ29222-2-2-2-222-20-20002-2-2220022−2−2000000002i−2i2−2−2i2i−2−22200−i2−i2i2i200000000i2−i200000
χ30222-2-2-2-222-20-20002-2-2220022−2−200000000−2i2i2−22i−2i−2−22200i2i2−i2−i200000000−i2i200000
χ31222-2-2-2-222-20-20002-2-22200−2−222000000002i−2i−22−2i2i22−2−200i2i2−i2−i200000000−i2i200000
χ32222-2-2-2-222-20-20002-2-22200−2−22200000000−2i2i−222i−2i22−2−200−i2−i2i2i200000000i2−i200000
χ3322-22-22-2-2222-2-22-2-200002-200002-200002-20000002-22-20000002-20000000000000
χ3422-22-22-2-2222-2-22-2-200002-200002-200002-2000000-22-22000000-220000000000000
χ3522-22-22-2-2222-2-22-2-200002-20000-220000-220000002-22-2000000-220000000000000
χ3622-22-22-2-2222-2-22-2-200002-20000-220000-22000000-22-220000002-20000000000000
χ3722-22-22-2-2-2-222-22-222i−2i2i−2i-2200002-22i−2i00-220000000000000000002i−2i00000000000
χ3822-22-22-2-2-2-222-22-222i−2i2i−2i-220000-222i−2i002-2000000000000000000−2i2i00000000000
χ3922-22-22-2-2-2-222-22-22−2i2i−2i2i-2200002-2−2i2i00-22000000000000000000−2i2i00000000000
χ4022-22-22-2-2-2-222-22-22−2i2i−2i2i-220000-22−2i2i002-20000000000000000002i−2i00000000000
χ4122-22-22-2-2-2-2-222-2222i−2i2i−2i2-2000000−2i2i000000000000000000000000002i−2i002-2000
χ4222-22-22-2-2-2-2-222-2222i−2i2i−2i2-2000000−2i2i00000000000000000000000000−2i2i00-22000
χ4322-22-22-2-2-2-2-222-222−2i2i−2i2i2-20000002i−2i000000000000000000000000002i−2i00-22000
χ4422-22-22-2-2-2-2-222-222−2i2i−2i2i2-20000002i−2i00000000000000000000000000−2i2i002-2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44-4404000-40000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-4-4-44-4404000-4000000−22−222222000000000022−22000000000000000000000000000
χ4844-44-44-4-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ4944-4-44-44-44-404000-400000000000000000000000022−22−2222000000000000000000000
χ5044-4-44-44-44-404000-4000000000000000000000000−222222−22000000000000000000000
χ5144-4-44-44-4-440-400044i−4i−4i4i000000000000000000000000000000000000000000000
χ5244-4-44-44-4-440-40004−4i4i4i−4i000000000000000000000000000000000000000000000
χ534-44-444-4-400404-4-40000000000000004-4000000000000000000000000000000000
χ544-44-444-4-400404-4-4000000000000000-44000000000000000000000000000000000
χ554-44-444-4-400-40-444000000000000000000000000000000000000000000000002i2−2i20
χ564-44-444-4-400-40-44400000000000000000000000000000000000000000000000−2i22i20
χ574-4-444-4-440000000000000022−2222−220000000000000000002i2−2i22i−2i2i−2i000000000000000
χ584-4-444-4-440000000000000022−2222−22000000000000000000−2i22i2−2i2i−2i2i000000000000000
χ594-4-444-4-4400000000000000−2222−22220000000000000000002i2−2i2−2i2i−2i2i000000000000000
χ604-4-444-4-4400000000000000−2222−2222000000000000000000−2i22i22i−2i2i−2i000000000000000
χ614-4-4-4-44440040-4-4400000004-4-44000000000000000000000000000000000000000
χ624-4-4-4-44440040-4-440000000-444-4000000000000000000000000000000000000000
χ634-4-4-4-444400-4044-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4-444400-4044-40000000000000000000000000000000−222222−22000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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