Finite Group Databasebeta

← Group #349102

Character table — Group #349102

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444448888888888222244444488888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
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
χ71111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ9111111111111-1-111-1-11111111-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111
χ10111111111111-1-111-1-11111111-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ11111111111111-1-111-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1
χ12111111111111-1-111-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ13111111111111-1-111-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ14111111111111-1-111-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ15111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-1111111-1-1-1-111-1-111-1-1-11-11
χ16111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-1111111-1-1-1-1-1-111-1-1111-11-1
χ172222222-2222-200-2-200-22222-2-200000002-20002-2-200000022-2-2000000000000
χ182222222-2222-200-2-200-22222-2-20000000-22000-22-2000000-2-222000000000000
χ192222222-2222-200-2-200-2-2-2-2-22200000002-20002-22000000-2-222000000000000
χ202222222-2222-200-2-200-2-2-2-2-2220000000-22000-22200000022-2-2000000000000
χ21222222-22-2-2-2222-22-2-2-2000000000020000-200000002i2i−2i−2i2i−2i2i−2i000000000000
χ22222222-22-2-2-2222-22-2-2-2000000000020000-20000000−2i−2i2i2i−2i2i−2i2i000000000000
χ23222222-22-2-2-22-2-2-2222-20000000000-20000200000002i2i−2i−2i−2i2i−2i2i000000000000
χ24222222-22-2-2-22-2-2-2222-20000000000-2000020000000−2i−2i2i2i2i−2i2i−2i000000000000
χ25222222-2-2-2-2-2-2002-20020000002i2i−2i−2i02-20002-20002i−2i00002i−2i−2i2i000000000000
χ26222222-2-2-2-2-2-2002-20020000002i2i−2i−2i0-22000-220002i−2i0000−2i2i2i−2i000000000000
χ27222222-2-2-2-2-2-2002-2002000000−2i−2i2i2i02-20002-2000−2i2i0000−2i2i2i−2i000000000000
χ28222222-2-2-2-2-2-2002-2002000000−2i−2i2i2i0-22000-22000−2i2i00002i−2i−2i2i000000000000
χ292222-2-2222-2-2222-2-2-2-220000000000-2222-22-2-2-2200000000000000000000000
χ302222-2-2222-2-2222-2-2-2-220000000000-2-2-2-222222-200000000000000000000000
χ312222-2-2222-2-22-2-2-2-22220000000000222-22-2-2-22-200000000000000000000000
χ322222-2-2222-2-22-2-2-2-222200000000002-2-22-2-222-2200000000000000000000000
χ332222-2-22-22-2-2-2002200-20000002i2i−2i−2i00022000-2-20−2i2i2i−2i2i−2i0000000000000000
χ342222-2-22-22-2-2-2002200-20000002i2i−2i−2i000-2-2000220−2i2i−2i2i−2i2i0000000000000000
χ352222-2-22-22-2-2-2002200-2000000−2i−2i2i2i00022000-2-202i−2i−2i2i−2i2i0000000000000000
χ362222-2-22-22-2-2-2002200-2000000−2i−2i2i2i000-2-20002202i−2i2i−2i2i−2i0000000000000000
χ372222-2-2-22-2222222-222-222-2-2222222-20000-20000-2-2-200000000000000000000
χ382222-2-2-22-2222222-222-2-2-222-2-2-2-2-2-2-20000-2000022200000000000000000000
χ392222-2-2-22-2222-2-22-2-2-2-222-2-222-2-2-2-22000020000-22200000000000000000000
χ402222-2-2-22-2222-2-22-2-2-2-2-2-222-2-2222220000200002-2-200000000000000000000
χ412222-2-2-2-2-222-200-2200222-2-2-2-2000002-2000-22002002-2-220000000000000000
χ422222-2-2-2-2-222-200-2200222-2-2-2-200000-220002-200200-222-20000000000000000
χ432222-2-2-2-2-222-200-22002-2-22222000002-2000-2200-200-222-20000000000000000
χ442222-2-2-2-2-222-200-22002-2-2222200000-220002-200-2002-2-220000000000000000
χ454-44-40004000-400004i−4i022−220022−222i2−2i22i2−2i2000000000000000000000000000000000
χ464-44-40004000-400004i−4i0−222200−2222−2i22i2−2i22i2000000000000000000000000000000000
χ474-44-40004000-40000−4i4i022−220022−22−2i22i2−2i22i2000000000000000000000000000000000
χ484-44-40004000-40000−4i4i0−222200−22222i2−2i22i2−2i2000000000000000000000000000000000
χ494-44-4000-400044-40000022−2200−222222−22−2222000000000000000000000000000000000
χ504-44-4000-400044-400000−22220022−22−222222−22000000000000000000000000000000000
χ514-44-4000-40004-440000022−2200−2222−222222−22000000000000000000000000000000000
χ524-44-4000-40004-4400000−22220022−2222−22−2222000000000000000000000000000000000
χ534-4-444-440-44-40000000000000000000000000000000000000000000002i2−2i20000
χ544-4-444-440-44-4000000000000000000000000000000000000000000000−2i22i20000
χ554-4-444-4-404-4400000000000000000000000000000000000000022−220000000000
χ564-4-444-4-404-44000000000000000000000000000000000000000−22220000000000
χ574-4-44-4440-4-44000000000000000000000000000000000000000002i2−2i200000000
χ584-4-44-4440-4-4400000000000000000000000000000000000000000−2i22i200000000
χ594-4-44-44-4044-4000000000000000000000000000000000000000000022−22000000
χ604-4-44-44-4044-40000000000000000000000000000000000000000000−2222000000
χ6188-8-8000000000000000004i2−4i2000000000000000000000000000000000000000
χ6288-8-800000000000000000−4i24i2000000000000000000000000000000000000000

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