Finite Group Databasebeta

← Group #72339004

Character table — Group #72339004

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112444881616161616161616323232323232323232323232326464646464646464646464128128128128128128128128256256256256256256256
order1222224422222244222222444444444444448888444444884888888
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1
χ31111111111111111111-1-1111111111-111-1-1111111111-1-1-1-1-111-1-1-1-1
χ41111111111111111111-1-1111111111-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ511111111111111111-1-11111111111-11-1-1111111111-1-111-1-1-1-1-111-1-1
χ611111111111111111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-111
χ711111111111111111-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111
χ811111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1
χ922222222222222-2-220000-2222-2-2-2-2000000-2000000000000000002i−2i
χ1022222222222222-2-220000-2222-2-2-2-2000000-200000000000000000−2i2i
χ112222222222-2-22222-2002222-2-222-2-2020022-200000000-2-2000000000
χ122222222222-2-22222-200-2-222-2-222-2-20-200-2-2-20000000022000000000
χ132222222222-2-222-2-2-20000-22-2-2-2-222000000200000000000002-20000
χ142222222222-2-222-2-2-20000-22-2-2-2-22200000020000000000000-220000
χ1522222222-2-2222222-222002-22-2-2-222202200-2000000-2-200000000000
χ1622222222-2-2222222-2-2-2002-22-2-2-222-20-2-200-20000002200000000000
χ1722222222-2-22222-2-2-20000-2-22-222-2-200000020000000000000002-200
χ1822222222-2-22222-2-2-20000-2-22-222-2-20000002000000000000000-2200
χ1922222222-2-2-2-22222200002-2-22-2-2-2-20000002000000000022-2000000
χ2022222222-2-2-2-22222200002-2-22-2-2-2-200000020000000000-2-22000000
χ2122222222-2-2-2-222-2-220000-2-2-222222000000-22222-2-20000000000000
χ2222222222-2-2-2-222-2-220000-2-2-222222000000-2-2-2-2-2220000000000000
χ23444444440000-4-44400000-40000000000000022-2-22-20000000000000
χ24444444440000-4-44400000-400000000000000-2-222-220000000000000
χ25444444440000-4-4-4-40000040000000000000022-2-2-220000000000000
χ26444444440000-4-4-4-400000400000000000000-2-2222-20000000000000
χ27444444-4-400004-400000220000004-40200-2-20000000002-2000000000
χ28444444-4-400004-40000022000000-440200-2-2000000000-22000000000
χ29444444-4-400004-400000-2-20000004-40-20022000000000-22000000000
χ30444444-4-400004-400000-2-2000000-440-200220000000002-2000000000
χ31444444-4-40000-44000220000004-40020-2-20000000002-200000000000
χ32444444-4-40000-4400022000000-440020-2-2000000000-2200000000000
χ33444444-4-40000-44000-2-20000004-400-2022000000000-2200000000000
χ34444444-4-40000-44000-2-2000000-4400-20220000000002-200000000000
χ358888-8-8000000000040000000-400000000000004i−4i000000000000000
χ368888-8-8000000000040000000-40000000000000−4i4i000000000000000
χ378888-8-80000000000-400000004000000000004i−4i00000000000000000
χ388888-8-80000000000-40000000400000000000−4i4i00000000000000000
χ39888-88-800004400000440000-400000-40000000000000000000000000
χ40888-88-800004400000-4-40000-40000040000000000000000000000000
χ41888-88-80000-4-400000000000400000004-40000000000000000000000
χ42888-88-80000-4-40000000000040000000-440000000000000000000000
χ43888-8-880044000000000440-40000000-4000000000000000000000000
χ44888-8-880044000000000-4-40-400000004000000000000000000000000
χ45888-8-8800-4-4000000000000400000000004-400000000000000000000
χ46888-8-8800-4-400000000000040000000000-4400000000000000000000
χ471616-160008-8008-80000000000000000000000000000000000000000000
χ481616-160008-800-880000000000000000000000000000000000000000000
χ491616-16000-888-8000000000000000000000000000000000000000000000
χ501616-16000-88-88000000000000000000000000000000000000000000000
χ5116-16000000000000-4404-44-400000000000000000000000002-20000000
χ5216-16000000000000-4404-4-440000000000000000000000000-220000000
χ5316-16000000000000-440-444-40000000000000000000000000-220000000
χ5416-16000000000000-440-44-4400000000000000000000000002-20000000
χ5532-320000000000008-8000000000000000000000000000000000000000

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