Finite Group Databasebeta

← Group #427865

Character table — Group #427865

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222222888888888888888888888888888816161616161616161616161616161616
order12222222224444444422224444444488888888888888882444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111
χ511111111111111111111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-111-1-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111
χ9111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1111111
χ10111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-111-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ12111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111
χ172222222222-2-2-2-2-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000002-20000000000
χ182222222222-2-2-2-2-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000-220000000000
χ192222222222-2-2-2-2-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000-220000000000
χ202222222222-2-2-2-2-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000002-20000000000
χ21222222-2-2-2-22222-2-2-2-22200-2-200000000002i−2i2i−2i0000000000000000002i−2i0000
χ22222222-2-2-2-22222-2-2-2-22200-2-20000000000−2i2i−2i2i000000000000000000−2i2i0000
χ23222222-2-2-2-22222-2-2-2-2-2-2002200000000002i−2i2i−2i000000000000000000−2i2i0000
χ24222222-2-2-2-22222-2-2-2-2-2-200220000000000−2i2i−2i2i0000000000000000002i−2i0000
χ25222222-2-2-2-2-2-2-2-2222200000000000000002-2-22000022-2-2200-2000000000000
χ26222222-2-2-2-2-2-2-2-2222200000000000000002-2-220000-2-222-2002000000000000
χ27222222-2-2-2-2-2-2-2-222220000000000000000-222-2000022-2-2-2002000000000000
χ28222222-2-2-2-2-2-2-2-222220000000000000000-222-20000-2-222200-2000000000000
χ292222-2-22-22-2-2-2222-22-22-2002-20022-2-222-2-20000000000000000000000000000
χ302222-2-22-22-2-2-2222-22-22-2002-200-2-222-2-2220000000000000000000000000000
χ312222-2-22-22-2-2-2222-22-2-2200-220022-2-2-2-2220000000000000000000000000000
χ322222-2-22-22-2-2-2222-22-2-2200-2200-2-22222-2-20000000000000000000000000000
χ332222-2-2-22-22-2-222-22-222-222-22-2-200000000000000000000000000002-2000000
χ342222-2-2-22-22-2-222-22-222-2-2-2-22220000000000000000000000000000-22000000
χ352222-2-2-22-22-2-222-22-22-22222-2-2-20000000000000000000000000000-22000000
χ362222-2-2-22-22-2-222-22-22-22-2-22-22200000000000000000000000000002-2000000
χ372-22-22-222-2-22-22-22-2-220000000000002i−2i2i−2i00002-22-200000000002i−2i00000000
χ382-22-22-222-2-22-22-22-2-220000000000002i−2i2i−2i0000-22-220000000000−2i2i00000000
χ392-22-22-222-2-22-22-22-2-22000000000000−2i2i−2i2i00002-22-20000000000−2i2i00000000
χ402-22-22-222-2-22-22-22-2-22000000000000−2i2i−2i2i0000-22-2200000000002i−2i00000000
χ412-22-22-222-2-2-22-22-222-2002-2002-20000000000002i−2i−2i2i00000000000000002i−2i00
χ422-22-22-222-2-2-22-22-222-2002-2002-2000000000000−2i2i2i−2i0000000000000000−2i2i00
χ432-22-22-222-2-2-22-22-222-200-2200-220000000000002i−2i−2i2i0000000000000000−2i2i00
χ442-22-22-222-2-2-22-22-222-200-2200-22000000000000−2i2i2i−2i00000000000000002i−2i00
χ452-22-2-222-2-22-222-222-2-20000000000002i−2i−2i2i000000002i−2i2i−2i000000000000002-2
χ462-22-2-222-2-22-222-222-2-20000000000002i−2i−2i2i00000000−2i2i−2i2i00000000000000-22
χ472-22-2-222-2-22-222-222-2-2000000000000−2i2i2i−2i000000002i−2i2i−2i00000000000000-22
χ482-22-2-222-2-22-222-222-2-2000000000000−2i2i2i−2i00000000−2i2i−2i2i000000000000002-2
χ492-22-2-22-222-22-2-2222-2-2002-200-2200000000000000002i−2i−2i2i02i−2i0000000000000
χ502-22-2-22-222-22-2-2222-2-2002-200-220000000000000000−2i2i2i−2i0−2i2i0000000000000
χ512-22-2-22-222-22-2-2222-2-200-22002-200000000000000002i−2i−2i2i0−2i2i0000000000000
χ522-22-2-22-222-22-2-2222-2-200-22002-20000000000000000−2i2i2i−2i02i−2i0000000000000
χ534444-4-44-44-444-4-4-44-4400000000000000000000000000000000000000000000
χ544444-4-4-44-4444-4-44-44-400000000000000000000000000000000000000000000
χ554-44-44-4-4-4444-44-4-444-400000000000000000000000000000000000000000000
χ564-44-44-4-4-444-44-444-4-4400000000000000000000000000000000000000000000
χ574-44-4-444-4-444-4-44-4-44400000000000000000000000000000000000000000000
χ584-44-4-44-444-4-444-4-4-44400000000000000000000000000000000000000000000
χ5988-8-80000000000000000000000004-400000000000000000000000000000000
χ6088-8-8000000000000000000000000-4400000000000000000000000000000000
χ618-8-8800000000000000000000004-40000000000000000000000000000000000
χ628-8-880000000000000000000000-440000000000000000000000000000000000

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