Finite Group Databasebeta

← Group #269852

Character table — Group #269852

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888224444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-111111-1-111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-1111111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ172222222222-2-2-222-2-22222-20000-2-22200000000000022-2-2000000000-2000000000
χ182222222222-2-2-222-2-22222-20000-2-2-2-2000000000000-2-2220000000002000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002222000000000000-2-222000000000-2000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000022-2-200000000000022-2-20000000002000000000
χ2122222222-2-2222-2-22-20000-2222200002222-2-2-2-200000000000000-2000000000000
χ2222222222-2-2222-2-22-20000-222220000-2-2-2-222-2-2000000000000002000000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-2000022-2-2222200000000000000-2000000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-20000-2-222-2-222000000000000002000000000000
χ252-2222-2-2-22-20002-2002i2i−2i−2i0i2i2−i2−i2002-2000000i2−i222−2−22i−2i0022−2−200000000i2−i200000
χ262-2222-2-2-22-20002-2002i2i−2i−2i0i2i2−i2−i200-22000000i2−i222−2−2−2i2i00−2−22200000000−i2i200000
χ272-2222-2-2-22-20002-2002i2i−2i−2i0−i2−i2i2i2002-2000000−i2i2−2−2222i−2i00−2−22200000000−i2i200000
χ282-2222-2-2-22-20002-2002i2i−2i−2i0−i2−i2i2i200-22000000−i2i2−2−222−2i2i0022−2−200000000i2−i200000
χ292-2222-2-2-22-20002-200−2i−2i2i2i0i2i2−i2−i2002-2000000i2−i2−2−222−2i2i00−2−22200000000i2−i200000
χ302-2222-2-2-22-20002-200−2i−2i2i2i0i2i2−i2−i200-22000000i2−i2−2−2222i−2i0022−2−200000000−i2i200000
χ312-2222-2-2-22-20002-200−2i−2i2i2i0−i2−i2i2i2002-2000000−i2i222−2−2−2i2i0022−2−200000000−i2i200000
χ322-2222-2-2-22-20002-200−2i−2i2i2i0−i2−i2i2i200-22000000−i2i222−2−22i−2i00−2−22200000000i2−i200000
χ332-22-2-2-222222-22-2-2-220000-200000000002-22-2002i−2i2i−2i000000000002i−2i0000000000
χ342-22-2-2-222222-22-2-2-220000-200000000002-22-200−2i2i−2i2i00000000000−2i2i0000000000
χ352-22-2-2-222222-22-2-2-220000-20000000000-22-22002i−2i2i−2i00000000000−2i2i0000000000
χ362-22-2-2-222222-22-2-2-220000-20000000000-22-2200−2i2i−2i2i000000000002i−2i0000000000
χ372-22-2-2-222-2-22-2222-2-22-22-2200002-200002-2-22000000000000002-20000000000000
χ382-22-2-2-222-2-22-2222-2-22-22-2200002-20000-222-200000000000000-220000000000000
χ392-22-2-2-222-2-22-2222-2-2-22-2220000-2200002-2-2200000000000000-220000000000000
χ402-22-2-2-222-2-22-2222-2-2-22-2220000-220000-222-2000000000000002-20000000000000
χ412-22-2-2-222-2-2-22-222222-22-2-20000-2200000000000000000000000000002-200002-20
χ422-22-2-2-222-2-2-22-222222-22-2-20000-220000000000000000000000000000-220000-220
χ432-22-2-2-222-2-2-22-22222-22-22-200002-200000000000000000000000000002-20000-220
χ442-22-2-2-222-2-2-22-22222-22-22-200002-20000000000000000000000000000-2200002-20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-44-4000-44000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ47444-4-44-4-44-4000-4400000000000000000000000−2i22i22i2−2i200000000000000000000000
χ48444-4-44-4-4-440004-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ49444-4-44-4-4-440004-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5044-44-4-44-40044-400-40000004i−4i4i−4i000000000000000000000000000000000000000
χ5144-44-4-44-40044-400-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ5244-44-4-44-400-4-4400400000000000000000000000000000022−2222−22000000000000000
χ5344-44-4-44-400-4-44004000000000000000000000000000000−2222−2222000000000000000
χ544-4444-4-4-4-44000-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ554-4444-4-4-4-44000-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ564-44-4-4-44444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ574-4-44-44-440000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ584-4-44-44-440000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ594-4-44-44-4400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ604-4-44-44-4400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ614-4-4-4444-4004-4-4004000000000000004-4000000000000000000000000000000000
χ624-4-4-4444-4004-4-400400000000000000-44000000000000000000000000000000000
χ634-4-4-4444-400-44400-40000000000000000000000000000000000000000000022−22000
χ644-4-4-4444-400-44400-400000000000000000000000000000000000000000000−2222000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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