Finite Group Databasebeta

← Group #72237726

Character table — Group #72237726

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616161616161632323232326464646464646464
order1222222222222442222224444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-111-1-111-1-1
χ611111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1i−ii−ii−ii−i
χ10111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1−ii−ii−ii−ii
χ11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1111-11-1-11-11
χ12111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-111-11-111-11-1
χ13111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111i−i−iii−i−ii
χ14111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111−iii−i−iii−i
χ15111111111111111-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-11-1-11
χ1722222222222-2-2-2-22-200222-200000022-2-2-2000000000000
χ1822222222222-2-2-2-22-200-2-22-2000000-2-2222000000000000
χ1922222222222-2-2-2-2-220022-22000000-2-222-2000000000000
χ2022222222222-2-2-2-2-2200-2-2-2200000022-2-22000000000000
χ2122222-2-2-2-22222-2-2002-200002-200002-22-20002-200000000
χ2222222-2-2-2-22222-2-2002-200002-20000-22-22000-2200000000
χ2322222-2-2-2-22222-2-200-220000-2200002-22-2000-2200000000
χ2422222-2-2-2-22222-2-200-220000-220000-22-220002-200000000
χ2522222-2-2-2-222-2-222000000000022-2-22-2-2202-20000000000
χ2622222-2-2-2-222-2-222000000000022-2-2-222-20-220000000000
χ2722222-2-2-2-222-2-2220000000000-2-2222-2-220-220000000000
χ2822222-2-2-2-222-2-2220000000000-2-222-222-202-20000000000
χ294444444-4-4-4-400000400000-400000000000000000000000
χ304444444-4-4-4-400000-400000400000000000000000000000
χ3144444-4-444-4-40000400000-4000000000000000000000000
χ3244444-4-444-4-40000-4000004000000000000000000000000
χ3344-4-4400004-4004-40000000000004-400000000000000000
χ3444-4-4400004-4004-4000000000000-4400000000000000000
χ3544-4-4400004-400-4400000000004-40000000000000000000
χ3644-4-4400004-400-440000000000-440000000000000000000
χ3744-4-440000-444-400000400000-4000000000000000000000
χ3844-4-440000-444-400000-4000004000000000000000000000
χ3944-4-440000-44-440000400000-40000000000000000000000
χ4044-4-440000-44-440000-40000040000000000000000000000
χ41888-8-8008-80000000000000000000000000000000000000
χ42888-8-800-880000000000000000000000000000000000000
χ4388-88-88-8000000000000000000000000000000000000000
χ4488-88-8-88000000000000000000000000000000000000000
χ4516-16000000000000000004-40000000000000000000000000
χ4616-1600000000000000000-440000000000000000000000000

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