Finite Group Databasebeta

← Group #264136

Character table — Group #264136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882222444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-11-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-11111-1-11-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-1-11-11-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-1-11
χ17222222222-2-222-2-22-22222-20000-2-2000022-2-200000000000002000-200000000
χ18222222222-2-222-2-22-22222-20000-2-20000-2-2220000000000000-2000200000000
χ19222222222-2-222-2-22-2-2-2-2-2-2000022000022-2-20000000000000-2000200000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000220000-2-22200000000000002000-200000000
χ2122222222-222-2-222-2-20000-222220022220000-2-20000000000-20-200000000000
χ2222222222-222-2-222-2-20000-2222200-2-2-2-20000-2-2000000000020200000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-20022-2-2000022000000000020-200000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-200-2-2220000220000000000-20200000000000
χ25222-2-2-2-2202-2002-2000000022-2-2002i−2i2i−2ii2−i2i2−i2000000i2i2−i2−i200000000002−22−200
χ26222-2-2-2-2202-2002-2000000022-2-2002i−2i2i−2i−i2i2−i2i2000000−i2−i2i2i20000000000−22−2200
χ27222-2-2-2-2202-2002-2000000022-2-200−2i2i−2i2ii2−i2i2−i2000000i2i2−i2−i20000000000−22−2200
χ28222-2-2-2-2202-2002-2000000022-2-200−2i2i−2i2i−i2i2−i2i2000000−i2−i2i2i200000000002−22−200
χ29222-2-2-2-2202-2002-20000000-2-222002i−2i−2i2ii2−i2i2−i2000000−i2−i2i2i200000000002−2−2200
χ30222-2-2-2-2202-2002-20000000-2-222002i−2i−2i2i−i2i2−i2i2000000i2i2−i2−i20000000000−222−200
χ31222-2-2-2-2202-2002-20000000-2-22200−2i2i2i−2ii2−i2i2−i2000000−i2−i2i2i20000000000−222−200
χ32222-2-2-2-2202-2002-20000000-2-22200−2i2i2i−2i−i2i2−i2i2000000i2i2−i2−i200000000002−2−2200
χ332-2-2-222-222-2-2-2-222220000-22-22-200000000002-2000000002-20002-2000000000
χ342-2-2-222-222-2-2-2-222220000-22-22-200000000002-200000000-22000-22000000000
χ352-2-2-222-222-2-2-2-222220000-2-22-220000000000-22000000002-2000-22000000000
χ362-2-2-222-222-2-2-2-222220000-2-22-220000000000-2200000000-220002-2000000000
χ372-2-2-222-22-22222-2-2-2222-2-2-200002-2000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-2-222-22-22222-2-2-2222-2-2-200002-200000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-2-222-22-22222-2-2-22-2-222-20000-22000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-2-222-22-22222-2-2-22-2-222-20000-2200000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-2-222-22-2-2-22222-2-222-2-222-22-2-2200000000-2222-2-200000000000000000000
χ422-2-2-222-22-2-2-22222-2-222-2-22-22-22-22000000002-2-2-22200000000000000000000
χ432-2-2-222-22-2-2-22222-2-2-2-22222-22-22-200000000-22-2-22200000000000000000000
χ442-2-2-222-22-2-2-22222-2-2-2-2222-22-222-2000000002-222-2-200000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-4-440-4400-44000000000000000002i2−2i2−2i22i200000000000000000000000000
χ47444-4-4-4-440-4400-4400000000000000000−2i22i22i2−2i200000000000000000000000000
χ4844-444-4-4-44004-400-4000000000000000000000022−2222−2200000000000000000000
χ4944-444-4-4-44004-400-40000000000000000000000−2222−222200000000000000000000
χ5044-444-4-4-4-400-4400404i−4i4i−4i00000000000000000000000000000000000000000
χ5144-444-4-4-4-400-440040−4i4i−4i4i00000000000000000000000000000000000000000
χ524-44-44-44-4400-4400-404i−4i−4i4i00000000000000000000000000000000000000000
χ534-44-44-44-4400-4400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ544-44-44-44-4-4004-4004000000000000000000000022−22−222200000000000000000000
χ554-44-44-44-4-4004-40040000000000000000000000−222222−2200000000000000000000
χ564-4-44-4-44404-400-4400000000000000000000000000022−22−22220000000000000000
χ574-4-44-4-44404-400-44000000000000000000000000000−222222−220000000000000000
χ584-4-44-4-4440-44004-400000004-4-44000000000000000000000000000000000000
χ594-4-44-4-4440-44004-40000000-444-4000000000000000000000000000000000000
χ604-4-4-444-44444-4-4-4-44-4000040000000000000000000000000000000000000000
χ6188-8-8-888-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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