Finite Group Databasebeta

← Group #264382

Character table — Group #264382

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-111-1-111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1111111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-1-111-1-1111-1
χ17222222222-2-222-2-22-2-20000220022-2-2-2-20022-2-2000000000000000000000000
χ18222222222-2-222-2-22-2-200002200-2-222-2-200-2-222000000000000000000000000
χ19222222222-2-222-2-22-2-20000-2-20022-2-22200-2-222000000000000000000000000
χ20222222222-2-222-2-22-2-20000-2-200-2-222220022-2-2000000000000000000000000
χ2122222222-222-2-222-2-2-222220022000000220000-2-200000000-2-2000000000000
χ2222222222-222-2-222-2-2-2222200-2-2000000-2-20000-2-20000000022000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-20022000000-2-200002200000000-22000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-200-2-200000022000022000000002-2000000000000
χ25222-2-2-2-2202-2002-200022-2-2002-20000002-2i2−i2i2−i2000000i2i2−i2−i200000000i2−i2i2−i200
χ26222-2-2-2-2202-2002-200022-2-2002-20000002-2−i2i2−i2i2000000−i2−i2i2i200000000−i2i2−i2i200
χ27222-2-2-2-2202-2002-200022-2-200-22000000-22i2−i2i2−i2000000i2i2−i2−i200000000−i2i2−i2i200
χ28222-2-2-2-2202-2002-200022-2-200-22000000-22−i2i2−i2i2000000−i2−i2i2i200000000i2−i2i2−i200
χ29222-2-2-2-2202-2002-2000-2-222002-2000000-22i2−i2i2−i2000000−i2−i2i2i200000000i2−i2−i2i200
χ30222-2-2-2-2202-2002-2000-2-222002-2000000-22−i2i2−i2i2000000i2i2−i2−i200000000−i2i2i2−i200
χ31222-2-2-2-2202-2002-2000-2-22200-220000002-2i2−i2i2−i2000000−i2−i2i2i200000000−i2i2i2−i200
χ32222-2-2-2-2202-2002-2000-2-22200-220000002-2−i2i2−i2i2000000i2i2−i2−i200000000i2−i2−i2i200
χ332-2-2-2-22222-2-2-2-22222-22-22-200000000000000002-200000000002-22-200000000
χ342-2-2-2-22222-2-2-2-22222-22-22-200000000000000002-20000000000-22-2200000000
χ352-2-2-2-22222-2-2-2-22222-2-22-220000000000000000-2200000000002-2-2200000000
χ362-2-2-2-22222-2-2-2-22222-2-22-220000000000000000-220000000000-222-200000000
χ372-2-2-2-2222-22222-2-2-22-200002-20000002-2000000002i2i−2i−2i2i−2i2i−2i00000000000000
χ382-2-2-2-2222-22222-2-2-22-200002-20000002-200000000−2i−2i2i2i−2i2i−2i2i00000000000000
χ392-2-2-2-2222-22222-2-2-22-20000-22000000-22000000002i2i−2i−2i−2i2i−2i2i00000000000000
χ402-2-2-2-2222-22222-2-2-22-20000-22000000-2200000000−2i−2i2i2i2i−2i2i−2i00000000000000
χ412-2-2-2-2222-2-2-22222-2-222-22-22-2000000-22000000-22000000000000002-2000000
χ422-2-2-2-2222-2-2-22222-2-222-22-2-220000002-2000000-2200000000000000-22000000
χ432-2-2-2-2222-2-2-22222-2-22-22-222-2000000-220000002-200000000000000-22000000
χ442-2-2-2-2222-2-2-22222-2-22-22-22-220000002-20000002-2000000000000002-2000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-4-440-4400-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ47444-4-4-4-440-4400-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4844-44-44-4-44004-400-400000000000000000000000022−2222−22000000000000000000
χ4944-44-44-4-44004-400-4000000000000000000000000−2222−2222000000000000000000
χ5044-44-44-4-4-400-440040000000000004i−4i00000000000000000000000000000000
χ5144-44-44-4-4-400-44004000000000000−4i4i00000000000000000000000000000000
χ524-44-444-4-4400-4400-400000000004-40000000000000000000000000000000000
χ534-44-444-4-4400-4400-40000000000-440000000000000000000000000000000000
χ544-44-444-4-4-4004-40040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ554-44-444-4-4-4004-4004000000000000000000000000−2i22i22i2−2i2000000000000000000
χ564-4-444-4-4404-400-440000000000000000000000000000022−22−222200000000000000
χ574-4-444-4-4404-400-4400000000000000000000000000000−222222−2200000000000000
χ584-4-444-4-440-44004-40004-4-440000000000000000000000000000000000000000
χ594-4-444-4-440-44004-4000-444-40000000000000000000000000000000000000000
χ604-4-4-4-4444444-4-4-4-44-4400000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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