Finite Group Databasebeta

← Group #349178

Character table — Group #349178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444888888888888888888888888888161616161616161632323232
order12222244444444488222224444444888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-111-1-1-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-111-1-1-1-1-111-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ12111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ13111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ14111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-111111111-1-1-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-111111111-1-1-1-1-1-111-1-1111-11-1
χ172222222-22-2-2-2-22-2002200000-2-200000000002i2i−2i−2i2i2i−2i−2i000000000000
χ182222222-22-2-2-2-22-2002200000-2-20000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ192222222-22-2-2-2-22-200-2-2000002200000000002i2i−2i−2i−2i−2i2i2i000000000000
χ202222222-22-2-2-2-22-200-2-200000220000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ21222222-22-2222-2-2-22200002-2-2000022-2-2000000002-22-2000000000000
χ22222222-22-2222-2-2-2220000-2220000-22-2-200000000-22-22000000000000
χ23222222-22-2222-2-2-2-2-200002-2-200002-22200000000-22-22000000000000
χ24222222-22-2222-2-2-2-2-20000-2220000-2-222000000002-22-2000000000000
χ25222222-2-2-2-2-2-22-2200002-2000002-200002i2i−2i−2i00002i−2i−2i2i000000000000
χ26222222-2-2-2-2-2-22-2200002-2000002-20000−2i−2i2i2i0000−2i2i2i−2i000000000000
χ27222222-2-2-2-2-2-22-220000-2200000-2200002i2i−2i−2i0000−2i2i2i−2i000000000000
χ28222222-2-2-2-2-2-22-220000-2200000-220000−2i−2i2i2i00002i−2i−2i2i000000000000
χ292222-2-22222-2-2-2-22002-2222-222-2-2-2-2000000000000000000000000000
χ302222-2-22222-2-2-2-22002-2-2-2-22-22-2222000000000000000000000000000
χ312222-2-22222-2-2-2-2200-2222-22-2-22-2-22000000000000000000000000000
χ322222-2-22222-2-2-2-2200-22-2-22-22-2222-2000000000000000000000000000
χ332222-2-22-22-2222-2-2222-200000-22000-22-22-22-200000000000000000000
χ342222-2-22-22-2222-2-222-22000002-2000-22-2-22-2200000000000000000000
χ352222-2-22-22-2222-2-2-2-22-200000-220002-22-22-2200000000000000000000
χ362222-2-22-22-2222-2-2-2-2-22000002-20002-222-22-200000000000000000000
χ372222-2-2-22-22-2-222-200000022-20000-20002i−2i−2i2i2i−2i2i−2i0000000000000000
χ382222-2-2-22-22-2-222-200000022-20000-2000−2i2i2i−2i−2i2i−2i2i0000000000000000
χ392222-2-2-22-22-2-222-2000000-2-22000020002i−2i−2i2i−2i2i−2i2i0000000000000000
χ402222-2-2-22-22-2-222-2000000-2-2200002000−2i2i2i−2i2i−2i2i−2i0000000000000000
χ412222-2-2-2-2-2-222-22222002-200000-220-2-2200002-2-220000000000000000
χ422222-2-2-2-2-2-222-2222200-22000002-20-2-220000-222-20000000000000000
χ432222-2-2-2-2-2-222-222-2-2002-200000-22022-20000-222-20000000000000000
χ442222-2-2-2-2-2-222-222-2-200-22000002-2022-200002-2-220000000000000000
χ454-4-444-4040-44-4000000000000000000000000000000002i2−2i20000000000
χ464-4-444-4040-44-400000000000000000000000000000000−2i22i20000000000
χ474-4-444-40-404-440000000000000000000000000000000000000022−220000
χ484-4-444-40-404-4400000000000000000000000000000000000000−22220000
χ494-4-44-44040-4-440000000000000000000000000000000000002i2−2i2000000
χ504-4-44-44040-4-44000000000000000000000000000000000000−2i22i2000000
χ514-4-44-440-4044-4000000000000000000000000000000000022−2200000000
χ524-4-44-440-4044-40000000000000000000000000000000000−222200000000
χ5388-8-80000000000042−42000000000000000000000000000000000000000
χ5488-8-800000000000−4242000000000000000000000000000000000000000
χ558-88-80080-800000000000000000000000000000000000000000000000
χ568-88-800-80800000000000000000000000000000000000000000000000

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