Finite Group Databasebeta

← Group #349120

Character table — Group #349120

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444448888888888444444444488888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ9111111111111-1-111-1-111111-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-111-1-111111-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ12111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-222222-2-222-222222222-2-2-2-200000000-2-2-200000000000000000000
χ182222222-2-222222-2-222-2-2-2-2-2-2-2-2-222-2-20000000022200000000000000000000
χ192222222-2-2222-2-2-2-2-2-2-22222-2-2-2-2-2-22200000000-22200000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-2-2-222222222000000002-2-200000000000000000000
χ21222222-222-2-2-2002-200-200002i2i−2i−2i000022-2-2000002i−2i00002i2i−2i−2i000000000000
χ22222222-222-2-2-2002-200-200002i2i−2i−2i0000-2-222000002i−2i0000−2i−2i2i2i000000000000
χ23222222-222-2-2-2002-200-20000−2i−2i2i2i000022-2-200000−2i2i0000−2i−2i2i2i000000000000
χ24222222-222-2-2-2002-200-20000−2i−2i2i2i0000-2-22200000−2i2i00002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-200-2200200002i2i−2i−2i0000000022-2-20−2i2i2i2i−2i−2i0000000000000000
χ26222222-2-2-2-2-2-200-2200200002i2i−2i−2i00000000-2-2220−2i2i−2i−2i2i2i0000000000000000
χ27222222-2-2-2-2-2-200-220020000−2i−2i2i2i0000000022-2-202i−2i−2i−2i2i2i0000000000000000
χ28222222-2-2-2-2-2-200-220020000−2i−2i2i2i00000000-2-22202i−2i2i2i−2i−2i0000000000000000
χ292222-2-2222-22-222-2-2-2-2200000000002-22-22-22-22-200000000000000000000000
χ302222-2-2222-22-222-2-2-2-2200000000002-2-22-22-22-2200000000000000000000000
χ312222-2-2222-22-2-2-2-2-22220000000000-222-22-2-22-2200000000000000000000000
χ322222-2-2222-22-2-2-2-2-22220000000000-22-22-222-22-200000000000000000000000
χ332222-2-22-2-2-22-22222-2-2-20000000000-22000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ342222-2-22-2-2-22-22222-2-2-20000000000-2200000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ352222-2-22-2-2-22-2-2-22222-200000000002-2000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ362222-2-22-2-2-22-2-2-22222-200000000002-200000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ372222-2-2-2222-2200-2200-222-2-2000022002-2-220000-2002-2-220000000000000000
χ382222-2-2-2222-2200-2200-222-2-200002200-222-20000-200-222-20000000000000000
χ392222-2-2-2222-2200-2200-2-2-2220000-2-2002-2-220000200-222-20000000000000000
χ402222-2-2-2222-2200-2200-2-2-2220000-2-200-222-200002002-2-220000000000000000
χ412222-2-2-2-2-22-22002-200222-2-20000-2-20000002-2-2220000002-2-22000000000000
χ422222-2-2-2-2-22-22002-200222-2-20000-2-2000000-222-22000000-222-2000000000000
χ432222-2-2-2-2-22-22002-2002-2-2220000220000002-2-22-2000000-222-2000000000000
χ442222-2-2-2-2-22-22002-2002-2-222000022000000-222-2-20000002-2-22000000000000
χ452-2-222-2-20022-22-2002-202-22-22-22-200000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ462-2-222-2-20022-22-2002-202-22-22-22-200000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ472-2-222-2-20022-22-2002-20-22-22-22-2200000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ482-2-222-2-20022-22-2002-20-22-22-22-2200000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ492-2-222-2-20022-2-2200-2202-22-2-22-2200000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ502-2-222-2-20022-2-2200-2202-22-2-22-2200000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ512-2-222-2-20022-2-2200-220-22-222-22-200000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ522-2-222-2-20022-2-2200-220-22-222-22-200000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ534-4-444-4400-4-44000000000004i−4i−4i4i00000000000000000000000000000000000
χ544-4-444-4400-4-4400000000000−4i4i4i−4i00000000000000000000000000000000000
χ554-4-44-444004-4-400000004-4-44000000000000000000000000000000000000000
χ564-4-44-444004-4-40000000-444-4000000000000000000000000000000000000000
χ574-4-44-44-400-4444-400-4400000000000000000000000000000000000000000000
χ584-4-44-44-400-444-44004-400000000000000000000000000000000000000000000
χ5988-8-80000000000000000000000042−42000000000000000000000000000000000
χ6088-8-800000000000000000000000−4242000000000000000000000000000000000
χ618-88-80008-800000000000000000000000000000000000000000000000000000
χ628-88-8000-8800000000000000000000000000000000000000000000000000000

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