Finite Group Databasebeta

← Group #148266

Character table — Group #148266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222224444448888888888884444444444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ91-1-111-111-1-111-1-11-111-1-1-11ii−i−iiiii−i−i−i−ii−i1-1i−i1-111-1-1ii−i−ii−i11-1-1
χ101-1-111-111-1-111-1-11-111-1-1-11ii−i−iiiii−i−i−i−i−ii-11−ii-11-1-111−i−iiii−i11-1-1
χ111-1-111-111-1-111-1-11-111-1-1-11ii−i−i−i−i−i−iiiiii−i1-1i−i1-1-1-111−i−iiii−i-1-111
χ121-1-111-111-1-111-1-11-111-1-1-11ii−i−i−i−i−i−iiiii−ii-11−ii-1111-1-1ii−i−ii−i-1-111
χ131-1-111-111-1-111-1-11-111-1-1-11−i−iiiiiii−i−i−i−ii−i-11i−i-1111-1-1−i−iii−ii-1-111
χ141-1-111-111-1-111-1-11-111-1-1-11−i−iiiiiii−i−i−i−i−ii1-1−ii1-1-1-111ii−i−i−ii-1-111
χ151-1-111-111-1-111-1-11-111-1-1-11−i−iii−i−i−i−iiiiii−i-11i−i-11-1-111ii−i−i−ii11-1-1
χ161-1-111-111-1-111-1-11-111-1-1-11−i−iii−i−i−i−iiiii−ii1-1−ii1-111-1-1−i−iii−ii11-1-1
χ1722222222222-22-2-2-2-2-22-2-222222000000000000000000000000-2-20000
χ1822222222222-22-2-2-2-2-22-2-22-2-2-2-2000000000000000000000000220000
χ192222222222-22-2-2-222-2-22-2-2000000000000002200-2-200000000000000
χ202222222222-22-2-2-222-2-22-2-200000000000000-2-2002200000000000000
χ212222222222-2-2-222-2-22-2-22-20000000000002200-2-20000000000000000
χ222222222222-2-2-222-2-22-2-22-2000000000000-2-200220000000000000000
χ23222222-2-2-2-2222-2-22-22-2-22-2000000000000000000002i−2i2i−2i0000000000
χ24222222-2-2-2-2222-2-22-22-2-22-200000000000000000000−2i2i−2i2i0000000000
χ25222222-2-2-2-22-2222-22-2-22-2-20000000000000000000000002i−2i2i−2i000000
χ26222222-2-2-2-22-2222-22-2-22-2-2000000000000000000000000−2i2i−2i2i000000
χ27222222-2-2-2-2-22-2222-2-22-2-220000000000000000000000000000002-22-2
χ28222222-2-2-2-2-22-2222-2-22-2-22000000000000000000000000000000-22-22
χ29222222-2-2-2-2-2-2-2-2-2-222222200002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ30222222-2-2-2-2-2-2-2-2-2-22222220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ312-2-222-222-2-22-2-22-22-2-2-22222i2i−2i−2i000000000000000000000000−2i2i0000
χ322-2-222-222-2-22-2-22-22-2-2-2222−2i−2i2i2i0000000000000000000000002i−2i0000
χ332-2-222-222-2-2-2222-2-22-22-22-2000000000000002-200-2200000000000000
χ342-2-222-222-2-2-2222-2-22-22-22-200000000000000-22002-200000000000000
χ352-2-222-222-2-2-2-22-222-2222-2-20000000000002i−2i00−2i2i0000000000000000
χ362-2-222-222-2-2-2-22-222-2222-2-2000000000000−2i2i002i−2i0000000000000000
χ372-2-222-2-2-22222-22-2-2-2222-2-2000000000000000000002i−2i−2i2i0000000000
χ382-2-222-2-2-22222-22-2-2-2222-2-200000000000000000000−2i2i2i−2i0000000000
χ392-2-222-2-2-2222-2-2-2222-22-22-20000000000000000000000002-2-22000000
χ402-2-222-2-2-2222-2-2-2222-22-22-2000000000000000000000000-222-2000000
χ412-2-222-2-2-222-222-22-2-2-2-22220000000000000000000000000000002-2-22
χ422-2-222-2-2-222-222-22-2-2-2-2222000000000000000000000000000000-222-2
χ432-2-222-2-2-222-2-222-2222-2-2-22000022-2-2-2-2220000000000000000000000
χ442-2-222-2-2-222-2-222-2222-2-2-220000-2-22222-2-20000000000000000000000
χ454444-4-44-44-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ464444-4-44-44-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ474444-4-4-44-4400000000000000002-2-222-2-220000000000000000000000
χ484444-4-4-44-440000000000000000-222-2-222-20000000000000000000000
χ494-4-44-444-4-4400000000000000002-22-2-22-220000000000000000000000
χ504-4-44-444-4-440000000000000000-22-222-22-20000000000000000000000
χ514-4-44-44-444-400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-4-44-44-444-40000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ5388-8-800000000000000000022−2222−22000000000000000000000000000000
χ5488-8-8000000000000000000−2222−2222000000000000000000000000000000
χ558-88-80000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ568-88-8000000000000000000−2i22i22i2−2i2000000000000000000000000000000

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