Finite Group Databasebeta

← Group #149482

Character table — Group #149482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222224444444444888888884444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ9111111-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i1-11-11-11-11-1ii−i−iii−i−iii−i−i
χ10111111-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i1-1-11-11-11-11ii−i−i−i−iii−i−iii
χ11111111-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii1-11-11-11-11-1−i−iii−i−iii−i−iii
χ12111111-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii1-1-11-11-11-11−i−iiiii−i−iii−i−i
χ13111111-1-1-1-11111-1-111-1-1-1-1-1-111iiii−i−i−i−i-111-1-111-1-11−i−iiiii−i−i−i−iii
χ14111111-1-1-1-11111-1-111-1-1-1-1-1-111iiii−i−i−i−i-11-111-1-111-1−i−iii−i−iiiii−i−i
χ15111111-1-1-1-11111-1-111-1-1-1-1-1-111−i−i−i−iiiii-111-1-111-1-11ii−i−i−i−iiiii−i−i
χ16111111-1-1-1-11111-1-111-1-1-1-1-1-111−i−i−i−iiiii-11-111-1-111-1ii−i−iii−i−i−i−iii
χ17222222222222-2-2-2-2-2-22-22-200000000000000002200-2-2000000000000
χ18222222222222-2-2-2-2-2-22-22-20000000000000000-2-20022000000000000
χ192222222222-2-222-2-2-2-2-22-22000000000000002200-2-200000000000000
χ202222222222-2-222-2-2-2-2-22-2200000000000000-2-2002200000000000000
χ212222222222-2-2-2-22222-2-2-2-2222200000000-2-200000000000000000000
χ222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000002200000000000000000000
χ23222222-2-2-2-222-2-222-2-2-22-2200000000000000002-200-22000000000000
χ24222222-2-2-2-222-2-222-2-2-22-220000000000000000-22002-2000000000000
χ25222222-2-2-2-2-2-22222-2-22-22-2000000000000002-200-2200000000000000
χ26222222-2-2-2-2-2-22222-2-22-22-200000000000000-22002-200000000000000
χ27222222-2-2-2-2-2-2-2-2-2-222222222-2-200000000-2200000000000000000000
χ28222222-2-2-2-2-2-2-2-2-2-2222222-2-222000000002-200000000000000000000
χ292-22-22-222-2-22-22-22-22-22-2-22000000000000000000000000002-22-20000
χ302-22-22-222-2-22-22-22-22-22-2-2200000000000000000000000000-22-220000
χ312-22-22-222-2-22-2-22-22-2222-2-200000000000000000000002-22-200000000
χ322-22-22-222-2-22-2-22-22-2222-2-20000000000000000000000-22-2200000000
χ332-22-22-222-2-2-222-2-22-22-2-22200002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ342-22-22-222-2-2-222-2-22-22-2-2220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ352-22-22-222-2-2-22-222-22-2-222-20000000000000000000000000000002-22-2
χ362-22-22-222-2-2-22-222-22-2-222-2000000000000000000000000000000-22-22
χ372-22-22-2-2-2222-22-2-222-2-222-2000000000000000000000000002i−2i−2i2i0000
χ382-22-22-2-2-2222-22-2-222-2-222-200000000000000000000000000−2i2i2i−2i0000
χ392-22-22-2-2-2222-2-222-2-22-2-22200000000000000000000002i−2i−2i2i00000000
χ402-22-22-2-2-2222-2-222-2-22-2-2220000000000000000000000−2i2i2i−2i00000000
χ412-22-22-2-2-222-222-22-2-2222-2-2000022-2-2-2-2220000000000000000000000
χ422-22-22-2-2-222-222-22-2-2222-2-20000-2-22222-2-20000000000000000000000
χ432-22-22-2-2-222-22-22-222-22-2-220000000000000000000000000000002i−2i−2i2i
χ442-22-22-2-2-222-22-22-222-22-2-22000000000000000000000000000000−2i2i2i−2i
χ454444-4-44-44-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ464444-4-44-44-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ474444-4-4-44-4400000000000000002-22-2-22-220000000000000000000000
χ484444-4-4-44-440000000000000000-22-222-22-20000000000000000000000
χ494-44-4-444-4-4400000000000000002-2-222-2-220000000000000000000000
χ504-44-4-444-4-440000000000000000-222-2-222-20000000000000000000000
χ514-44-4-44-444-400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-44-4-44-444-40000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ5388-8-80000000000000000004-400000000000000000000000000000000
χ5488-8-8000000000000000000-4400000000000000000000000000000000
χ558-8-88000000000000000000004-4000000000000000000000000000000
χ568-8-8800000000000000000000-44000000000000000000000000000000

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