Finite Group Databasebeta

← Group #283229

Character table — Group #283229

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-111-1
χ71111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-11111-1-11111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ17222222222-2-222-2-22-22222-20000-2-20000002222-2-200000000000-20000000000000
χ18222222222-2-222-2-22-22222-20000-2-2000000-2-2-2-2220000000000020000000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200002200000022-2-22200000000000-20000000000000
χ20222222222-2-222-2-22-2-2-2-2-2-2000022000000-2-222-2-20000000000020000000000000
χ2122222222-222-2-222-2-20000-222220022-2-222000000-2-200000000-200000000000000
χ2222222222-222-2-222-2-20000-2222200-2-222-2-2000000-2-200000000200000000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-2002222-2-20000002200000000-200000000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-200-2-2-2-2220000002200000000200000000000000
χ252-2222-2-2-2-2002-200202i2i−2i−2i022−2−2000000002i−2i2-2002−2i2i2−i2−i222−2−200000000i2−i200000
χ262-2222-2-2-2-2002-200202i2i−2i−2i022−2−200000000−2i2i-22002−2i2i2−i2−i2−2−22200000000−i2i200000
χ272-2222-2-2-2-2002-200202i2i−2i−2i0−2−222000000002i−2i2-200−22−i2−i2i2i2−2−22200000000−i2i200000
χ282-2222-2-2-2-2002-200202i2i−2i−2i0−2−22200000000−2i2i-2200−22−i2−i2i2i222−2−200000000i2−i200000
χ292-2222-2-2-2-2002-20020−2i−2i2i2i022−2−2000000002i−2i-22002−2−i2−i2i2i2−2−22200000000i2−i200000
χ302-2222-2-2-2-2002-20020−2i−2i2i2i022−2−200000000−2i2i2-2002−2−i2−i2i2i222−2−200000000−i2i200000
χ312-2222-2-2-2-2002-20020−2i−2i2i2i0−2−222000000002i−2i-2200−22i2i2−i2−i222−2−200000000−i2i200000
χ322-2222-2-2-2-2002-20020−2i−2i2i2i0−2−22200000000−2i2i2-200−22i2i2−i2−i2−2−22200000000i2−i200000
χ332-2-22-22-22222-2-2-2-2222-22-2-200002-2002i−2i2i−2i000000000000000000002i−2i000000000
χ342-2-22-22-22222-2-2-2-2222-22-2-200002-200−2i2i−2i2i00000000000000000000−2i2i000000000
χ352-2-22-22-22222-2-2-2-222-22-22-20000-22002i−2i2i−2i00000000000000000000−2i2i000000000
χ362-2-22-22-22222-2-2-2-222-22-22-20000-2200−2i2i−2i2i000000000000000000002i−2i000000000
χ372-2-22-22-222-2-2-2-2222-22-22-220000-220000000000000000000000002-2000000002-20
χ382-2-22-22-222-2-2-2-2222-22-22-220000-22000000000000000000000000-2200000000-220
χ392-2-22-22-222-2-2-2-2222-2-22-22200002-20000000000000000000000002-200000000-220
χ402-2-22-22-222-2-2-2-2222-2-22-22200002-2000000000000000000000000-22000000002-20
χ412-2-22-22-22-22222-2-2-2-200002000000002i−2i−2i2i000000002i−2i2i−2i00000000002-20000000
χ422-2-22-22-22-22222-2-2-2-200002000000002i−2i−2i2i00000000−2i2i−2i2i0000000000-220000000
χ432-2-22-22-22-22222-2-2-2-20000200000000−2i2i2i−2i000000002i−2i2i−2i0000000000-220000000
χ442-2-22-22-22-22222-2-2-2-20000200000000−2i2i2i−2i00000000−2i2i−2i2i00000000002-20000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-4404-4004-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ47444-4-4-4-4404-4004-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ48444-4-4-4-440-4400-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ49444-4-4-4-440-4400-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-44-4-44-44004-400-40000000000000000000000000022−22−22220000000000000000000
χ5144-44-4-44-44004-400-400000000000000000000000000−222222−220000000000000000000
χ5244-44-4-44-4-400-4400404i−4i−4i4i00000000000000000000000000000000000000000000
χ5344-44-4-44-4-400-440040−4i4i4i−4i00000000000000000000000000000000000000000000
χ544-4444-4-4-4400-4400-40000002222−22−2200000000000000−222200000000000000000000000
χ554-4444-4-4-4400-4400-4000000−22−2222220000000000000022−2200000000000000000000000
χ564-44-4-444-4000000000000002i2−2i2−2i22i200000000000022−220000002i−2i−2i2i000000000000000
χ574-44-4-444-4000000000000002i2−2i2−2i22i2000000000000−2222000000−2i2i2i−2i000000000000000
χ584-44-4-444-400000000000000−2i22i22i2−2i200000000000022−22000000−2i2i2i−2i000000000000000
χ594-44-4-444-400000000000000−2i22i22i2−2i2000000000000−22220000002i−2i−2i2i000000000000000
χ604-4-44-44-44-4-4-44444-440000-40000000000000000000000000000000000000000000
χ614-4-4-44-44404-400-4400000000000000000000000000000000000000000000022−22000
χ624-4-4-44-44404-400-44000000000000000000000000000000000000000000000−2222000
χ634-4-4-44-4440-44004-400000000000004-400000000000000000000000000000000000
χ644-4-4-44-4440-44004-40000000000000-4400000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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