Finite Group Databasebeta

← Group #284365

Character table — Group #284365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888222244888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-11
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-11111111-11-1-1-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-1111111-1-11-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-1-111-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-111-1-1-1-11111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1111-1-111-1-1-1-11-1
χ17222222222-2-2222-2-2-22222-20000-2-2000022000000-2-20000020-2000000000000
χ18222222222-2-2222-2-2-22222-20000-2-20000-2-20000002200000-202000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2000022000022000000-2-200000-202000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000220000-2-2000000220000020-2000000000000
χ2122222222-222-2-2-222-20000-2222200222200-2-20000000000-20-20000000000000
χ2222222222-222-2-2-222-20000-2222200-2-2-2-200-2-200000000002020000000000000
χ2322222222-222-2-2-222-20000-2-2-2-2-20022-2-20022000000000020-20000000000000
χ2422222222-222-2-2-222-20000-2-2-2-2-200-2-22200220000000000-2020000000000000
χ25222-2-2-22-202-20002-20000002i2i−2i−2i002-22i−2ii2−i2000000i2−i222−2−200000000i2−i2002−200
χ26222-2-2-22-202-20002-20000002i2i−2i−2i002-22i−2i−i2i2000000−i2i2−2−22200000000−i2i200−2200
χ27222-2-2-22-202-20002-20000002i2i−2i−2i00-22−2i2ii2−i2000000i2−i222−2−200000000−i2i200−2200
χ28222-2-2-22-202-20002-20000002i2i−2i−2i00-22−2i2i−i2i2000000−i2i2−2−22200000000i2−i2002−200
χ29222-2-2-22-202-20002-2000000−2i−2i2i2i002-2−2i2ii2−i2000000i2−i2−2−22200000000i2−i200−2200
χ30222-2-2-22-202-20002-2000000−2i−2i2i2i002-2−2i2i−i2i2000000−i2i222−2−200000000−i2i2002−200
χ31222-2-2-22-202-20002-2000000−2i−2i2i2i00-222i−2ii2−i2000000i2−i2−2−22200000000−i2i2002−200
χ32222-2-2-22-202-20002-2000000−2i−2i2i2i00-222i−2i−i2i2000000−i2i222−2−200000000i2−i200−2200
χ332-2-2-2222-2222-22-2-2-2-2000022i−2i2i−2i000000002i−2i000000000000002-22i−2i00000000
χ342-2-2-2222-2222-22-2-2-2-2000022i−2i2i−2i000000002i−2i00000000000000-22−2i2i00000000
χ352-2-2-2222-2222-22-2-2-2-200002−2i2i−2i2i00000000−2i2i000000000000002-2−2i2i00000000
χ362-2-2-2222-2222-22-2-2-2-200002−2i2i−2i2i00000000−2i2i00000000000000-222i−2i00000000
χ372-2-2-2222-2-2222-22-2-2222-2-2-22i−2i2i−2i2-2000000−2i2i2i2i−2i−2i0000000000000000000000
χ382-2-2-2222-2-2222-22-2-2222-2-2-2−2i2i−2i2i2-20000002i−2i−2i−2i2i2i0000000000000000000000
χ392-2-2-2222-2-2222-22-2-22-2-222-22i−2i2i−2i-22000000−2i2i−2i−2i2i2i0000000000000000000000
χ402-2-2-2222-2-2222-22-2-22-2-222-2−2i2i−2i2i-220000002i−2i2i2i−2i−2i0000000000000000000000
χ412-2-2-2222-2-2-2-22-2222-222-2-220000-22000000000000002-22-200000000002-20000
χ422-2-2-2222-2-2-2-22-2222-222-2-220000-2200000000000000-22-220000000000-220000
χ432-2-2-2222-2-2-2-22-2222-2-2-222200002-2000000000000002-22-20000000000-220000
χ442-2-2-2222-2-2-2-22-2222-2-2-222200002-200000000000000-22-2200000000002-20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-44-40-44000-4400000000000000002i2−2i2000000−2i22i200000000000000000000
χ47444-4-4-44-40-44000-440000000000000000−2i22i20000002i2−2i200000000000000000000
χ4844-4-4-44-444004-4-40004i−4i4i−4i00000000000000000000000000000000000000000
χ4944-4-4-44-444004-4-4000−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-4-44-44-400-444000000000000000000000022−2222−220000000000000000000000
χ5144-4-4-44-44-400-4440000000000000000000000−2222−22220000000000000000000000
χ524-444-44-4-4400-4-4400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ534-444-44-4-4400-4-440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ544-444-44-4-4-40044-40004i−4i−4i4i00000000000000000000000000000000000000000
χ554-444-44-4-4-40044-4000−4i4i4i−4i00000000000000000000000000000000000000000
χ564-4-44-4-44404-4000-440000004-4-44000000000000000000000000000000000000
χ574-4-44-4-44404-4000-44000000-444-4000000000000000000000000000000000000
χ584-4-44-4-4440-440004-40000000000000000000000000022−22−22220000000000000000
χ594-4-44-4-4440-440004-400000000000000000000000000−222222−220000000000000000
χ604-4-4-4444-44-4-4-44-44440000-40000000000000000000000000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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