Finite Group Databasebeta

← Group #283964

Character table — Group #283964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822224444448888888888888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-11
χ911111111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111
χ1011111111111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ1111111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-1
χ1211111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-11111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-11-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-111-11
χ172222222222-22-2-2-22-20000-22222-2-2-2-222002200000000000000000000-200-200000000
χ182222222222-22-2-2-22-20000-22222-2-2-2-2-2-200-2-200000000000000000000200200000000
χ192222222222-22-2-2-22-20000-2-2-2-2-222222200-2-200000000000000000000-200200000000
χ202222222222-22-2-2-22-20000-2-2-2-2-22222-2-2002200000000000000000000200-200000000
χ2122222222-2-22-2222-2-22222-200000000002200-2-2-2-2-2-222000000000000000000000000
χ2222222222-2-22-2222-2-22222-20000000000-2-200-2-22222-2-2000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000000000220022-2-222-2-2000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000000000-2-2002222-2-222000000000000000000000000
χ25222-2-2-22-20020-2-220022-2-20i2i2−i2−i2i2i2−i2−i2000000002i−2i2i−2i00i2i2−i2−i222−2−222−2−2000000000000
χ26222-2-2-22-20020-2-220022-2-20i2i2−i2−i2i2i2−i2−i200000000−2i2i−2i2i00i2i2−i2−i2−2−222−2−222000000000000
χ27222-2-2-22-20020-2-220022-2-20−i2−i2i2i2−i2−i2i2i2000000002i−2i2i−2i00−i2−i2i2i2−2−222−2−222000000000000
χ28222-2-2-22-20020-2-220022-2-20−i2−i2i2i2−i2−i2i2i200000000−2i2i−2i2i00−i2−i2i2i222−2−222−2−2000000000000
χ29222-2-2-22-20020-2-2200-2-2220i2i2−i2−i2i2i2−i2−i2000000002i−2i−2i2i00−i2−i2i2i222−2−2−2−222000000000000
χ30222-2-2-22-20020-2-2200-2-2220i2i2−i2−i2i2i2−i2−i200000000−2i2i2i−2i00−i2−i2i2i2−2−22222−2−2000000000000
χ31222-2-2-22-20020-2-2200-2-2220−i2−i2i2i2−i2−i2i2i2000000002i−2i−2i2i00i2i2−i2−i2−2−22222−2−2000000000000
χ32222-2-2-22-20020-2-2200-2-2220−i2−i2i2i2−i2−i2i2i200000000−2i2i2i−2i00i2i2−i2−i222−2−2−2−222000000000000
χ332-2-22-2-22200-20-222002-22-202−22−22−22−2002-2000000002-22−22−22−22−22−22−2000000000000
χ342-2-22-2-22200-20-222002-22-202−22−22−22−200-2200000000-222−22−2−22−22−22−22000000000000
χ352-2-22-2-22200-20-222002-22-20−22−22−22−22002-2000000002-2−22−22−22−22−22−22000000000000
χ362-2-22-2-22200-20-222002-22-20−22−22−22−2200-2200000000-22−22−222−22−22−22−2000000000000
χ372-2-22-2-22200-20-22200-22-2202−22−22−22−2002-200000000-22−22−222−22−2−22−22000000000000
χ382-2-22-2-22200-20-22200-22-2202−22−22−22−200-22000000002-2−22−22−22−222−22−2000000000000
χ392-2-22-2-22200-20-22200-22-220−22−22−22−22002-200000000-222−22−2−22−222−22−2000000000000
χ402-2-22-2-22200-20-22200-22-220−22−22−22−2200-22000000002-22−22−22−22−2−22−22000000000000
χ412-2-2-2222-2222-2-22-2-2-2000022i−2i−2i2i−2i2i2i−2i0000000000000000000000000002-202i−2i000000
χ422-2-2-2222-2222-2-22-2-2-2000022i−2i−2i2i−2i2i2i−2i000000000000000000000000000-220−2i2i000000
χ432-2-2-2222-2222-2-22-2-2-200002−2i2i2i−2i2i−2i−2i2i0000000000000000000000000002-20−2i2i000000
χ442-2-2-2222-2222-2-22-2-2-200002−2i2i2i−2i2i−2i−2i2i000000000000000000000000000-2202i−2i000000
χ452-2-2-2222-222-2-22-22-222-2-22-22i−2i−2i2i2i−2i−2i2i0000002-20000002i−2i−2i2i00000000000000000000
χ462-2-2-2222-222-2-22-22-222-2-22-2−2i2i2i−2i−2i2i2i−2i0000002-2000000−2i2i2i−2i00000000000000000000
χ472-2-2-2222-222-2-22-22-22-222-2-22i−2i−2i2i2i−2i−2i2i000000-22000000−2i2i2i−2i00000000000000000000
χ482-2-2-2222-222-2-22-22-22-222-2-2−2i2i2i−2i−2i2i2i−2i000000-220000002i−2i−2i2i00000000000000000000
χ492-2-2-2222-2-2-2-222-222-22-2-22200000000000000-2200000000002-2-222-2-22000000000000
χ502-2-2-2222-2-2-2-222-222-22-2-22200000000000000-220000000000-222-2-222-2000000000000
χ512-2-2-2222-2-2-2-222-222-2-222-22000000000000002-200000000002-2-22-222-2000000000000
χ522-2-2-2222-2-2-2-222-222-2-222-22000000000000002-20000000000-222-22-2-22000000000000
χ5344444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000000
χ54444-4-4-44-400-4044-400000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ55444-4-4-44-400-4044-40000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ5644-444-4-4-44-404000-40000000000000000004-400000000000000000000000000000000
χ5744-444-4-4-44-404000-4000000000000000000-4400000000000000000000000000000000
χ5844-444-4-4-4-440-400040000000000000000000000000000000000000000000000002i2−2i200
χ5944-444-4-4-4-440-40004000000000000000000000000000000000000000000000000−2i22i200
χ604-44-44-4-444-40-40004000000000000004-4000000000000000000000000000000000000
χ614-44-44-4-444-40-4000400000000000000-44000000000000000000000000000000000000
χ624-44-44-4-44-4404000-400000000000000000000000000000000000000000000002i2−2i20000
χ634-44-44-4-44-4404000-40000000000000000000000000000000000000000000000−2i22i20000
χ644-4-44-4-44400404-4-4000000022−2222−22−2222−222200000000000000000000000000000000000000
χ654-4-44-4-44400404-4-40000000−2222−222222−2222−2200000000000000000000000000000000000000
χ664-4-4-4444-4-4-444-44-4440000-40000000000000000000000000000000000000000000000
χ6788-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-888-88-8-8000000000000000000000000000000000000000000000000000000000000

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