Finite Group Databasebeta

← Group #283114

Character table — Group #283114

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222244448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111
χ71111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-111-1-111111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-11-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111-1-1-11111-1
χ1722222222222-2-2-2-22-20000-222222200-2-200220000-2-2000000000000-20000000000
χ1822222222222-2-2-2-22-20000-22222-2-2002200-2-20000-2-200000000000020000000000
χ1922222222222-2-2-2-22-20000-2-2-2-2-22200-2-200-2-200002200000000000020000000000
χ2022222222222-2-2-2-22-20000-2-2-2-2-2-2-200220022000022000000000000-20000000000
χ2122222222-2-2-22222-2-22222-2000000-2-200220022-2-200000000000000000-20000000
χ2222222222-2-2-22222-2-22222-2000000-2-200-2-200-2-2220000000000000000020000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200000022002200-2-22200000000000000000-20000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000002200-2-20022-2-20000000000000000020000000
χ252-222-22-2-20002-22-2002i2i−2i−2i0i2i2−i2−i20000002-2002i−2i00i2−i222−2−222−2−2000000000000i2−i20
χ262-222-22-2-20002-22-2002i2i−2i−2i0i2i2−i2−i2000000-2200−2i2i00i2−i222−2−2−2−222000000000000−i2i20
χ272-222-22-2-20002-22-2002i2i−2i−2i0−i2−i2i2i20000002-2002i−2i00−i2i2−2−222−2−222000000000000−i2i20
χ282-222-22-2-20002-22-2002i2i−2i−2i0−i2−i2i2i2000000-2200−2i2i00−i2i2−2−22222−2−2000000000000i2−i20
χ292-222-22-2-20002-22-200−2i−2i2i2i0i2i2−i2−i20000002-200−2i2i00i2−i2−2−222−2−222000000000000i2−i20
χ302-222-22-2-20002-22-200−2i−2i2i2i0i2i2−i2−i2000000-22002i−2i00i2−i2−2−22222−2−2000000000000−i2i20
χ312-222-22-2-20002-22-200−2i−2i2i2i0−i2−i2i2i20000002-200−2i2i00−i2i222−2−222−2−2000000000000−i2i20
χ322-222-22-2-20002-22-200−2i−2i2i2i0−i2−i2i2i2000000-22002i−2i00−i2i222−2−2−2−222000000000000i2−i20
χ332-2-222-2-2222-222-2-2-2-20000200002i−2i002i−2i00000000002i−2i2i−2i00002-20000000000000
χ342-2-222-2-2222-222-2-2-2-20000200002i−2i002i−2i0000000000−2i2i−2i2i0000-220000000000000
χ352-2-222-2-2222-222-2-2-2-2000020000−2i2i00−2i2i00000000002i−2i2i−2i0000-220000000000000
χ362-2-222-2-2222-222-2-2-2-2000020000−2i2i00−2i2i0000000000−2i2i−2i2i00002-20000000000000
χ372-2-222-2-2222-2-2-222-222-22-2-200002i−2i2-2−2i2i000000000000000000000002i−2i00000000
χ382-2-222-2-2222-2-2-222-222-22-2-20000−2i2i2-22i−2i00000000000000000000000−2i2i00000000
χ392-2-222-2-2222-2-2-222-22-22-22-200002i−2i-22−2i2i00000000000000000000000−2i2i00000000
χ402-2-222-2-2222-2-2-222-22-22-22-20000−2i2i-222i−2i000000000000000000000002i−2i00000000
χ412-2-222-2-22-2-22-2-2222-22-22-22000000-2200000000000000000000002-200002-200000
χ422-2-222-2-22-2-22-2-2222-22-22-22000000-220000000000000000000000-220000-2200000
χ432-2-222-2-22-2-22-2-2222-2-22-2220000002-200000000000000000000002-20000-2200000
χ442-2-222-2-22-2-22-2-2222-2-22-2220000002-20000000000000000000000-2200002-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-44-440000-400000000000000000000000000000022−2222−22000000000000000
χ47444-44-4-4-44-440000-4000000000000000000000000000000−2222−2222000000000000000
χ48444-44-4-4-4-44-4000040000004i−4i4i−4i000000000000000000000000000000000000000
χ49444-44-4-4-4-44-400004000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-44-4-44-40004-4-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-44-4-44-40004-4-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-44-4-44-4000-444-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5344-44-4-44-4000-444-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ544-444-44-4-4000-44-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ554-444-44-4-4000-44-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ564-44-4-4-4440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ574-44-4-4-4440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ584-44-4-4-44400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ594-44-4-4-44400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ604-4-444-4-44-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ614-4-4-4444-44-4-4000040000000000000000000000000000000000000000000022−22000
χ624-4-4-4444-44-4-40000400000000000000000000000000000000000000000000−2222000
χ634-4-4-4444-4-4440000-40000000000000000004i−4i00000000000000000000000000000
χ644-4-4-4444-4-4440000-4000000000000000000−4i4i00000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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