Finite Group Databasebeta

← Group #241829

Character table — Group #241829

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-111-111-1-1-111-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-11111111
χ9111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111-111-11-1-1-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-1-111-11-11-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-1-11-11-1-1111111-1-1
χ12111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-111-11-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-11-11-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-1-111-111111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-11-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-111-11-11-1-1-111-1-1
χ172222222222222222-2-2-2-222-2-2-2-2000000000000000000000022000-2-20000000
χ182222222222222222-2-2-2-222-2-2-2-20000000000000000000000-2-2000220000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000002-2000-220000000
χ20222222222222-2-2-2-22222-2-2-2-2-2-20000000000000000000000-220002-20000000
χ2122222222-2-2-2-2222222-2-2-2-222-2-20000000000000000022000000-2-2000000000
χ2222222222-2-2-2-2222222-2-2-2-222-2-200000000000000000-2-200000022000000000
χ2322222222-2-2-2-22222-2-222-2-2-2-2220000000000000000200-20000-200002000000
χ2422222222-2-2-2-22222-2-222-2-2-2-2220000000000000000-2002000020000-2000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-222000000000000000020020000-20000-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000-200-20000200002000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000002-2000000-22000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000-220000002-2000000000
χ292-222-22-2-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000000000002-22i−2i
χ302-222-22-2-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000000000-22−2i2i
χ312-222-22-2-22-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-220000000022-2-22i2i−2i−2i00000000000000000000
χ322-222-22-2-22-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-2200000000-2-222−2i−2i2i2i00000000000000000000
χ332-222-22-2-22-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-220000000022-2-2−2i−2i2i2i00000000000000000000
χ342-222-22-2-22-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-2200000000-2-2222i2i−2i−2i00000000000000000000
χ352-222-22-2-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000000000002-2−2i2i
χ362-222-22-2-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000000000-222i−2i
χ372-222-22-2-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-222i2i−2i−2i22-2-20000000000000000000000000000
χ382-222-22-2-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-22−2i−2i2i2i-2-2220000000000000000000000000000
χ392-222-22-2-2-22-222i2i−2i−2i−2i2i2i−2i−2i2i-222-2000000000000000000002-2000000002i−2i0000
χ402-222-22-2-2-22-222i2i−2i−2i−2i2i2i−2i−2i2i-222-200000000000000000000-2200000000−2i2i0000
χ412-222-22-2-2-22-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-2000000000000000000002-200000000−2i2i0000
χ422-222-22-2-2-22-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-200000000000000000000-22000000002i−2i0000
χ432-222-22-2-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-222i2i−2i−2i-2-2220000000000000000000000000000
χ442-222-22-2-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i22-2-20000000000000000000000000000
χ45444-4-4-4-4400004-44-400000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ46444-4-4-4-4400004-44-40000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ47444-4-4-4-440000-44-4400000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ48444-4-4-4-440000-44-440000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ4944-4-4-444-44-4-4400000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ5044-4-4-444-44-4-440000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ5144-4-4-444-4-444-4000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ5244-4-4-444-4-444-400000000000000000000000000−2i22i2−2i22i200000000000000000000
χ534-44-44-44-400004i−4i−4i4i00000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ544-44-44-44-400004i−4i−4i4i0000000000-222-22i−2i−2i2i0000000000000000000000000000
χ554-44-44-44-40000−4i4i4i−4i00000000002-2-222i−2i−2i2i0000000000000000000000000000
χ564-44-44-44-40000−4i4i4i−4i0000000000-222-2−2i2i2i−2i0000000000000000000000000000
χ574-4-4-444-4444-4-400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-4-4-444-4444-4-40000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-4-4-444-44-4-4440000000000000000000000000022−22−222200000000000000000000
χ604-4-4-444-44-4-44400000000000000000000000000−222222−2200000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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