Finite Group Databasebeta

← Group #454384

Character table — Group #454384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111111111111122222222888888888888888888888888888816161616161616161616161616161616
order12222222222222224444444422444444444488888888888888882222224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1
χ9111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ10111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ12111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ15111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1
χ16111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000
χ212222-2-2-2-222-2-2-2-22222-2-2-22-220000000000000000000022-2-200002-200000000002-200
χ222222-2-2-2-222-2-2-2-22222-2-2-22-220000000000000000000022-2-20000-220000000000-2200
χ232222-2-2-2-222-2-2-2-22222-2-2-22-2200000000000000000000-2-22200002-20000000000-2200
χ242222-2-2-2-222-2-2-2-22222-2-2-22-2200000000000000000000-2-2220000-2200000000002-200
χ25222-2-2-2-2-2-2-222222-2-2-222-22-2200000000000000000000000022-2-200002-22-200000000
χ26222-2-2-2-2-2-2-222222-2-2-222-22-2200000000000000000000000022-2-20000-22-2200000000
χ27222-2-2-2-2-2-2-222222-2-2-222-22-22000000000000000000000000-2-22200002-2-2200000000
χ28222-2-2-2-2-2-2-222222-2-2-222-22-22000000000000000000000000-2-2220000-222-200000000
χ292-2-2222-2-2-2-222-2-2222-22-2-2-222000000000000000000002-22-2000000000000002-2002-2
χ302-2-2222-2-2-2-222-2-2222-22-2-2-222000000000000000000002-22-200000000000000-2200-22
χ312-2-2222-2-2-2-222-2-2222-22-2-2-22200000000000000000000-22-22000000000000002-200-22
χ322-2-2222-2-2-2-222-2-2222-22-2-2-22200000000000000000000-22-2200000000000000-22002-2
χ332-2-22-2-222-2-2-2-222222-2-222-2-222-2000000002-2000000002-2-222-22-20000000000000000
χ342-2-22-2-222-2-2-2-222222-2-222-2-222-2000000002-200000000-222-2-22-220000000000000000
χ352-2-22-2-222-2-2-2-222222-2-222-2-22-2200000000-22000000002-2-22-22-220000000000000000
χ362-2-22-2-222-2-2-2-222222-2-222-2-22-2200000000-2200000000-222-22-22-20000000000000000
χ372-2-22-2-222-2-2-2-22222-222-2-222-22-200000000-2222-2-222-2-2000000000000000000000000
χ382-2-22-2-222-2-2-2-22222-222-2-222-22-200000000-22-2-222-2-222000000000000000000000000
χ392-2-22-2-222-2-2-2-22222-222-2-222-2-22000000002-222-2-2-2-222000000000000000000000000
χ402-2-22-2-222-2-2-2-22222-222-2-222-2-22000000002-2-2-22222-2-2000000000000000000000000
χ412-2-2-222-2-222-2-2222-2-22-22-2-2220000000000000000000000002-2-22002-200002-2000000
χ422-2-2-222-2-222-2-2222-2-22-22-2-2220000000000000000000000002-2-2200-220000-22000000
χ432-2-2-222-2-222-2-2222-2-22-22-2-222000000000000000000000000-222-2002-20000-22000000
χ442-2-2-222-2-222-2-2222-2-22-22-2-222000000000000000000000000-222-200-2200002-2000000
χ454444-4-4-4-444-4-4-4-444-4-4444-44-400000000000000000000000000000000000000000000
χ46444-44444-4-4-4-4-4-44-44444-4-4-4-400000000000000000000000000000000000000000000
χ47444-44444-4-4-4-4-4-44-4-4-4-4-4444400000000000000000000000000000000000000000000
χ48444-4-4-4-4-4-4-444444-444-4-44-44-400000000000000000000000000000000000000000000
χ4944-444-44-44-44-44-4-4-400000000000000004i−4i0000000000000000000000000000000000
χ5044-444-44-44-44-44-4-4-40000000000000000−4i4i0000000000000000000000000000000000
χ5144-44-44-444-4-44-44-4-40000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ5244-44-44-444-4-44-44-4-4000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ5344-4-44-44-4-44-44-44-440000000000004-400000000000000000000000000000000000000
χ5444-4-44-44-4-44-44-44-44000000000000-4400000000000000000000000000000000000000
χ5544-4-4-44-44-444-44-4-440000000000000000000022−2222−220000000000000000000000000000
χ5644-4-4-44-44-444-44-4-4400000000000000000000−2222−22220000000000000000000000000000
χ574-4444-4-44-444-4-44-4-40000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-4444-4-44-444-4-44-4-4000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-444-444-4-44-444-4-4-4000000000000004i−4i000000000000000000000000000000000000
χ604-444-444-4-44-444-4-4-400000000000000−4i4i000000000000000000000000000000000000
χ614-44-44-4-444-4-444-4-440000000000000000000022−22−22220000000000000000000000000000
χ624-44-44-4-444-4-444-4-4400000000000000000000−222222−220000000000000000000000000000
χ634-44-4-444-44-44-4-44-4400000000004-40000000000000000000000000000000000000000
χ644-44-4-444-44-44-4-44-440000000000-440000000000000000000000000000000000000000
χ654-4-4444-4-4-4-444-4-444-44-4444-4-400000000000000000000000000000000000000000000
χ664-4-4-444-4-444-4-4444-44-44-444-4-400000000000000000000000000000000000000000000
χ674-4-4-4-4-4444444-4-44-44-4-44-444-400000000000000000000000000000000000000000000
χ684-4-4-4-4-4444444-4-44-4-444-44-4-4400000000000000000000000000000000000000000000

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