Finite Group Databasebeta

← Group #336113

Character table — Group #336113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1111-1-1
χ172222222222-2-2-222-2-2-200002222-2-20000000022-2-20000-200000000000000
χ182222222222-2-2-222-2-2-2000022-2-2-2-200000000-2-2220000200000000000000
χ192222222222-2-2-222-2-2-20000-2-2222200000000-2-2220000-200000000000000
χ202222222222-2-2-222-2-2-20000-2-2-2-2220000000022-2-20000200000000000000
χ2122222222-2-2222-2-22-2-2222200000022-2-20000000000000-200-22000000000
χ2222222222-2-2222-2-22-2-22222000000-2-2-2-200000000000002002-2000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200000022220000000000000-2002-2000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2000000-2-2220000000000000200-22000000000
χ252-222-2-2-222-20002-2000i2i2−i2−i2002i−2i2i−2i00i2−i222−2−2002-2i2i2−i2−i20000002−20000000
χ262-222-2-2-222-20002-2000i2i2−i2−i2002i−2i−2i2i00i2−i2−2−22200-22−i2−i2i2i20000002−20000000
χ272-222-2-2-222-20002-2000i2i2−i2−i200−2i2i2i−2i00i2−i222−2−200-22−i2−i2i2i2000000−220000000
χ282-222-2-2-222-20002-2000i2i2−i2−i200−2i2i−2i2i00i2−i2−2−222002-2i2i2−i2−i2000000−220000000
χ292-222-2-2-222-20002-2000−i2−i2i2i2002i−2i2i−2i00−i2i2−2−222002-2−i2−i2i2i2000000−220000000
χ302-222-2-2-222-20002-2000−i2−i2i2i2002i−2i−2i2i00−i2i222−2−200-22i2i2−i2−i2000000−220000000
χ312-222-2-2-222-20002-2000−i2−i2i2i200−2i2i2i−2i00−i2i2−2−22200-22i2i2−i2−i20000002−20000000
χ322-222-2-2-222-20002-2000−i2−i2i2i200−2i2i−2i2i00−i2i222−2−2002-2−i2−i2i2i20000002−20000000
χ332-2-22-222-222-22-2-2-22-22000000000000002-22-200000000002i−2i0000002i−2i000
χ342-2-22-222-222-22-2-2-22-22000000000000002-22-20000000000−2i2i000000−2i2i000
χ352-2-22-222-222-22-2-2-22-2200000000000000-22-2200000000002i−2i000000−2i2i000
χ362-2-22-222-222-22-2-2-22-2200000000000000-22-220000000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4004-4-400400000000000000000000000022−2222−22000000000000000
χ39444-4-44-4-4004-4-4004000000000000000000000000−2222−2222000000000000000
χ40444-4-44-4-400-44400-4004-44-40000000000000000000000000000000000000
χ41444-4-44-4-400-44400-400-44-440000000000000000000000000000000000000
χ4244-444-4-4-44-4000-440000000000000000022−22−222200000000000000000000000
χ4344-444-4-4-44-4000-4400000000000000000−222222−2200000000000000000000000
χ4444-444-4-4-4-440004-400000004-400000000000000000000000000000000000
χ4544-444-4-4-4-440004-40000000-4400000000000000000000000000000000000
χ464-444-4-4-44-44000-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ474-444-4-4-44-44000-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ484-44-44-44-400000000002i2−2i2−2i22i20000000000000022−22002i−2i−2i2i000000000000000
χ494-44-44-44-400000000002i2−2i2−2i22i200000000000000−222200−2i2i2i−2i000000000000000
χ504-44-44-44-40000000000−2i22i22i2−2i20000000000000022−2200−2i2i2i−2i000000000000000
χ514-44-44-44-40000000000−2i22i22i2−2i200000000000000−2222002i−2i−2i2i000000000000000
χ524-4-44-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-4-44-444-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ544-4-44-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4-444-440044-400-40000000000000000000000000000000000002i2−2i200000
χ564-4-4-444-440044-400-4000000000000000000000000000000000000−2i22i200000
χ574-4-4-444-4400-4-440040000000000004-400000000000000000000000000000
χ584-4-4-444-4400-4-44004000000000000-4400000000000000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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