Finite Group Databasebeta

← Group #499102

Character table — Group #499102

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222224444444444444444442244444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ9111111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-111-1-11-11-11-11-11-111-1-111-1-111-1-1
χ10111111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-111-1-1-111-1-11-11-11-1-111-1-11111-1-1
χ11111111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-1-1111-1-11-111-1-1111-1-1-1-111-1-111
χ12111111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-1-111-11-111-1-111-1-1-11111-1-1-1-111
χ13111111-1-1-1-111-1-1111-1-1-1-11-1-1-1-1111111-1-11-11-11-11-11-1-1-111-1-111-1-111
χ14111111-1-1-1-111-1-1111-1-1-1-11-1-1-1-1111111-1-1-111-1-11-11-1111-1-111-1-1-1-111
χ15111111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-1111-1-11-111-1-11-1-11111-1-111-1-1
χ16111111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-111-11-111-1-111-111-1-1-1-11111-1-1
χ1722222222222-2-2-22-2-222-2-2-200000000000000002200-2-2000000000000
χ1822222222222-2-2-22-2-222-2-2-20000000000000000-2-20022000000000000
χ192222222222-22-2-2-22-2-2-222-2000000000000220000-2-200000000000000
χ202222222222-22-2-2-22-2-2-222-2000000000000-2-200002200000000000000
χ212222222222-2-222-2-22-2-2-2-2200000000222200-2-2000000000000000000
χ222222222222-2-222-2-22-2-2-2-2200000000-2-2-2-20022000000000000000000
χ23222222-2-2-2-22-2222-2-2-2-222-200000000000000002-200-22000000000000
χ24222222-2-2-2-22-2222-2-2-2-222-20000000000000000-22002-2000000000000
χ25222222-2-2-2-2-2222-22-222-2-2-20000000000002-20000-2200000000000000
χ26222222-2-2-2-2-2222-22-222-2-2-2000000000000-2200002-200000000000000
χ27222222-2-2-2-2-2-2-2-2-2-22222220000000022-2-200-22000000000000000000
χ28222222-2-2-2-2-2-2-2-2-2-222222200000000-2-222002-2000000000000000000
χ292-2-22-2222-2-2222-2-2-2-22-22-222i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ302-2-22-2222-2-2222-2-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ312-2-22-2222-2-22-2-22-2222-2-22-2000000000000000000000000002i−2i2i−2i0000
χ322-2-22-2222-2-22-2-22-2222-2-22-200000000000000000000000000−2i2i−2i2i0000
χ332-2-22-2222-2-2-22-222-22-222-2-200000000000000000000002i−2i2i−2i00000000
χ342-2-22-2222-2-2-22-222-22-222-2-20000000000000000000000−2i2i−2i2i00000000
χ352-2-22-2222-2-2-2-22-222-2-22-2220000000000000000000000000000002-22-2
χ362-2-22-2222-2-2-2-22-222-2-22-222000000000000000000000000000000-22-22
χ372-2-22-22-2-22222-22-2-2-2-22-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ382-2-22-22-2-22222-22-2-2-2-22-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ392-2-22-22-2-2222-22-2-222-222-2-2000000000000000000000000002i−2i−2i2i0000
χ402-2-22-22-2-2222-22-2-222-222-2-200000000000000000000000000−2i2i2i−2i0000
χ412-2-22-22-2-222-222-22-222-2-22-200000000000000000000002i−2i−2i2i00000000
χ422-2-22-22-2-222-222-22-222-2-22-20000000000000000000000−2i2i2i−2i00000000
χ432-2-22-22-2-222-2-2-2222-22-22-220000000000000000000000000000002-2-22
χ442-2-22-22-2-222-2-2-2222-22-22-22000000000000000000000000000000-222-2
χ454444-4-44-44-40000000000002-22-22-22-200000000000000000000000000
χ464444-4-44-44-4000000000000-22-22-22-2200000000000000000000000000
χ474444-4-4-44-440000000000002-22-2-22-2200000000000000000000000000
χ484444-4-4-44-44000000000000-22-222-22-200000000000000000000000000
χ494-4-444-44-4-440000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ504-4-444-44-4-44000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ514-4-444-4-444-40000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ524-4-444-4-444-4000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ5388-8-800000000000000000000000000004i−4i0000000000000000000000
χ5488-8-80000000000000000000000000000−4i4i0000000000000000000000
χ558-88-8000000000000000000000000004i−4i000000000000000000000000
χ568-88-800000000000000000000000000−4i4i000000000000000000000000

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