Finite Group Databasebeta

← Group #148474

Character table — Group #148474

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222224444448888888888882244444444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ91-11-11-11-1-11111-1-1-111-1-1-11ii−i−i1111-1-1-1-11-1i−i1-1i−iii−i−iii−i−ii−i11-1-1
χ101-11-11-11-1-11111-1-1-111-1-1-11ii−i−i1111-1-1-1-1-11−ii-11−iiii−i−i−i−iiii−i-1-111
χ111-11-11-11-1-11111-1-1-111-1-1-11ii−i−i-1-1-1-111111-1i−i1-1i−i−i−iii−i−iiii−i-1-111
χ121-11-11-11-1-11111-1-1-111-1-1-11ii−i−i-1-1-1-11111-11−ii-11−ii−i−iiiii−i−ii−i11-1-1
χ131-11-11-11-1-11111-1-1-111-1-1-11−i−iii1111-1-1-1-11-1−ii1-1−ii−i−iii−i−iii−ii11-1-1
χ141-11-11-11-1-11111-1-1-111-1-1-11−i−iii1111-1-1-1-1-11i−i-11i−i−i−iiiii−i−i−ii-1-111
χ151-11-11-11-1-11111-1-1-111-1-1-11−i−iii-1-1-1-111111-1−ii1-1−iiii−i−iii−i−i−ii-1-111
χ161-11-11-11-1-11111-1-1-111-1-1-11−i−iii-1-1-1-11111-11i−i-11i−iii−i−i−i−iii−ii11-1-1
χ1722222222222-2-22-2-2-2-22-2-220000000000002200-2-20000000000000000
χ1822222222222-2-22-2-2-2-22-2-22000000000000-2-200220000000000000000
χ192222222222-22-2-22-22-2-22-2-2000000000000002200-2-200000000000000
χ202222222222-22-2-22-22-2-22-2-200000000000000-2-2002200000000000000
χ212222222222-2-22-2-22-22-2-22-22222000000000000000000000000-2-20000
χ222222222222-2-22-2-22-22-2-22-2-2-2-2-2000000000000000000000000220000
χ23222222-2-2-2-222-222-2-22-2-22-20000000000000000000000000000002i−2i2i−2i
χ24222222-2-2-2-222-222-2-22-2-22-2000000000000000000000000000000−2i2i−2i2i
χ25222222-2-2-2-22-222-222-2-22-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ26222222-2-2-2-22-222-222-2-22-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ27222222-2-2-2-2-222-222-2-22-2-22000000000000000000002-22-20000000000
χ28222222-2-2-2-2-222-222-2-22-2-2200000000000000000000-22-220000000000
χ29222222-2-2-2-2-2-2-2-2-2-22222220000000000000000000000002i−2i2i−2i000000
χ30222222-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000−2i2i−2i2i000000
χ312-22-22-22-2-222-2-2-222-2-2-22220000000000002-200-220000000000000000
χ322-22-22-22-2-222-2-2-222-2-2-2222000000000000-22002-20000000000000000
χ332-22-22-22-2-22-22-22-222-22-22-2000000000000002i−2i00−2i2i00000000000000
χ342-22-22-22-2-22-22-22-222-22-22-200000000000000−2i2i002i−2i00000000000000
χ352-22-22-22-2-22-2-2222-2-2222-2-22i2i−2i−2i000000000000000000000000−2i2i0000
χ362-22-22-22-2-22-2-2222-2-2222-2-2−2i−2i2i2i0000000000000000000000002i−2i0000
χ372-22-22-2-222-222-2-2-22-2222-2-20000000000000000000000000000002i−2i−2i2i
χ382-22-22-2-222-222-2-2-22-2222-2-2000000000000000000000000000000−2i2i2i−2i
χ392-22-22-2-222-22-22-22-22-22-22-200002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ402-22-22-2-222-22-22-22-22-22-22-20000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ412-22-22-2-222-2-2222-2-2-2-2-2222000000000000000000002i−2i−2i2i0000000000
χ422-22-22-2-222-2-2222-2-2-2-2-222200000000000000000000−2i2i2i−2i0000000000
χ432-22-22-2-222-2-2-2-222222-2-2-220000000000000000000000002-2-22000000
χ442-22-22-2-222-2-2-2-222222-2-2-22000000000000000000000000-222-2000000
χ454444-4-444-4-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ464444-4-444-4-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ474444-4-4-4-44400000000000000002-2-222-2-220000000000000000000000
χ484444-4-4-4-4440000000000000000-222-2-222-20000000000000000000000
χ494-44-4-444-44-400000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ504-44-4-444-44-40000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ514-44-4-44-44-4400000000000000002-2-22-222-20000000000000000000000
χ524-44-4-44-44-440000000000000000-222-22-2-220000000000000000000000
χ5388-8-80000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ5488-8-8000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ558-8-8800000000000000000022−22−2222000000000000000000000000000000
χ568-8-88000000000000000000−222222−22000000000000000000000000000000

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