Finite Group Databasebeta

← Group #512023

Character table — Group #512023

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222244444444444444444444444444444488888888888888816161616323232323232
order12222244444444444444444444444444444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-111-1-11111-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-111-1-1-1-1-1-111-1-111
χ71111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1
χ9111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-1
χ10111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-11
χ11111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-11-11-1-11-11
χ12111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-11-11-111-11-1
χ13111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-1111-11-1-111-1-11
χ14111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-11-111-1-111-1
χ15111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-11-11-1-11-111-1
χ16111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-11-111-11-1-11
χ1722222222222-2-20000000000000000222222222-2-20000-2-22-2-20000-2-20000000000
χ1822222222222-2-20000000000000000-2-2-2-2-2-2-2-22-2-20000222-2-20000220000000000
χ192222222222-22-2000000002222222200000000-22-200-2-200-22-200-2-2000000000000
χ202222222222-22-200000000-2-2-2-2-2-2-2-200000000-22-2002200-22-20022000000000000
χ212222222222-2-22222222220000000000000000-2-22-2-20000-2-22-2-200000000000000
χ222222222222-2-22-2-2-2-2-2-2-2-20000000000000000-2-22220000-2-222200000000000000
χ23222222-2-2-2-22-2-200000000000000002222-2-2-2-22-2-20000-2-2-2220000220000000000
χ24222222-2-2-2-22-2-20000000000000000-2-2-2-222222-2-2000022-2220000-2-20000000000
χ25222222-2-2-2-2-22-2000000002222-2-2-2-200000000-22-200-2-2002-220022000000000000
χ26222222-2-2-2-2-22-200000000-2-2-2-2222200000000-22-20022002-2200-2-2000000000000
χ27222222-2-2-2-2-2-222222-2-2-2-20000000000000000-2-22-2-2000022-22200000000000000
χ28222222-2-2-2-2-2-22-2-2-2-222220000000000000000-2-2222000022-2-2-200000000000000
χ292-22-22-2000022222-2-2000022-2-2000022-2-20000-2-2-22-22-22-20000000000000000000
χ302-22-22-2000022222-2-20000-2-2220000-2-2220000-2-2-22-2-22-220000000000000000000
χ312-22-22-20000222-2-222000022-2-20000-2-2220000-2-2-2-222-2-220000000000000000000
χ322-22-22-20000222-2-2220000-2-222000022-2-20000-2-2-2-22-222-20000000000000000000
χ332-22-22-200002-2-200002i2i−2i−2i00002i2i−2i−2i22-2-20000-2220000-220002i−2i2i−2i000000000000
χ342-22-22-200002-2-200002i2i−2i−2i0000−2i−2i2i2i-2-2220000-22200002-20002i−2i−2i2i000000000000
χ352-22-22-200002-2-20000−2i−2i2i2i00002i2i−2i−2i-2-2220000-22200002-2000−2i2i2i−2i000000000000
χ362-22-22-200002-2-20000−2i−2i2i2i0000−2i−2i2i2i22-2-20000-2220000-22000−2i2i−2i2i000000000000
χ372-22-22-20000-22-200002i2i−2i−2i22-2-2000000002i2i−2i−2i2-2200-2200000−2i2i002i−2i0000000000
χ382-22-22-20000-22-200002i2i−2i−2i-2-22200000000−2i−2i2i2i2-22002-200000−2i2i00−2i2i0000000000
χ392-22-22-20000-22-20000−2i−2i2i2i22-2-200000000−2i−2i2i2i2-2200-22000002i−2i00−2i2i0000000000
χ402-22-22-20000-22-20000−2i−2i2i2i-2-222000000002i2i−2i−2i2-22002-2000002i−2i002i−2i0000000000
χ412-22-22-20000-2-2222-2-2000000002i2i−2i−2i00002i2i−2i−2i22-2-22000000000−2i2i−2i2i0000000000
χ422-22-22-20000-2-2222-2-200000000−2i−2i2i2i0000−2i−2i2i2i22-2-220000000002i−2i2i−2i0000000000
χ432-22-22-20000-2-22-2-222000000002i2i−2i−2i0000−2i−2i2i2i22-22-2000000000−2i2i2i−2i0000000000
χ442-22-22-20000-2-22-2-22200000000−2i−2i2i2i00002i2i−2i−2i22-22-20000000002i−2i−2i2i0000000000
χ454444-4-444-4-400000000000000000000000000000000000000000000022-2-2000000
χ464444-4-444-4-4000000000000000000000000000000000000000000000-2-222000000
χ474444-4-4-4-4440000000000000000000000000000000000000000000002-2-22000000
χ484444-4-4-4-444000000000000000000000000000000000000000000000-222-2000000
χ4944-4-4004-4000002-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ5044-4-4004-4000002-22-22-22-2-22-22-22-22-22-22-22-220000000000000000000000000000
χ5144-4-4004-400000-22-22-22-222-22-22-22-2-22-22-22-220000000000000000000000000000
χ5244-4-4004-400000-22-22-22-22-22-22-22-222-22-22-22-20000000000000000000000000000
χ5344-4-400-44000002-22-2-22-222-22-2-22-222-22-2-22-220000000000000000000000000000
χ5444-4-400-44000002-22-2-22-22-22-222-22-2-22-222-22-20000000000000000000000000000
χ5544-4-400-4400000-22-222-22-22-22-2-22-22-22-222-22-20000000000000000000000000000
χ5644-4-400-4400000-22-222-22-2-22-222-22-22-22-2-22-220000000000000000000000000000
χ574-4-4400004i−4i0002-2-222i−2i−2i2i2-2-222i−2i−2i2i2-2-222i−2i−2i2i0000000000000000000000000000
χ584-4-4400004i−4i0002-2-222i−2i−2i2i-222-2−2i2i2i−2i-222-2−2i2i2i−2i0000000000000000000000000000
χ594-4-4400004i−4i000-222-2−2i2i2i−2i2-2-222i−2i−2i2i-222-2−2i2i2i−2i0000000000000000000000000000
χ604-4-4400004i−4i000-222-2−2i2i2i−2i-222-2−2i2i2i−2i2-2-222i−2i−2i2i0000000000000000000000000000
χ614-4-440000−4i4i0002-2-22−2i2i2i−2i2-2-22−2i2i2i−2i2-2-22−2i2i2i−2i0000000000000000000000000000
χ624-4-440000−4i4i0002-2-22−2i2i2i−2i-222-22i−2i−2i2i-222-22i−2i−2i2i0000000000000000000000000000
χ634-4-440000−4i4i000-222-22i−2i−2i2i2-2-22−2i2i2i−2i-222-22i−2i−2i2i0000000000000000000000000000
χ644-4-440000−4i4i000-222-22i−2i−2i2i-222-22i−2i−2i2i2-2-22−2i2i2i−2i0000000000000000000000000000
χ658-88-8-8800000000000000000000000000000000000000000000000000000000000

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