Finite Group Databasebeta

← Group #72338993

Character table — Group #72338993

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112444881616161616161616323232323232323232323232326464646464646464646464128128128128128128128128256256256256256256256
order1222224422224444222224444444424444448888444444884888888
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1111-1-1111111111-1-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-11111-1111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ5111111111111111111-1-11111111111-1-1-1111111111-1-111-1-1-1-1-111-1-1
χ6111111111111111111-1-11111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-111
χ7111111111111111111-1-1111-1-11111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111
χ8111111111111111111-1-1111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1
χ922222222222222-2-22200-22200-2-2-2-2000000-2000000000000000002i−2i
χ1022222222222222-2-22200-22200-2-2-2-2000000-200000000000000000−2i2i
χ11222222222222-2-222-2-22222-20022-2-2022200-2000000-2-200000000000
χ12222222222222-2-222-2-2-2-222-20022-2-20-2-2-200-20000002200000000000
χ13222222222222-2-2-2-2-2-200-22-200-2-22200000020000000000000002-200
χ14222222222222-2-2-2-2-2-200-22-200-2-2220000002000000000000000-2200
χ1522222222-2-22222222-2002-2-222-2-222200022-200000000-2-2000000000
χ1622222222-2-22222222-2002-2-2-2-2-2-222-2000-2-2-20000000022000000000
χ1722222222-2-22222-2-22-200-2-2-20022-2-2000000200000000000002-20000
χ1822222222-2-22222-2-22-200-2-2-20022-2-200000020000000000000-220000
χ1922222222-2-222-2-222-22002-2200-2-2-2-20000002000000000022-2000000
χ2022222222-2-222-2-222-22002-2200-2-2-2-200000020000000000-2-22000000
χ2122222222-2-222-2-2-2-2-2200-2-22002222000000-22222-2-20000000000000
χ2222222222-2-222-2-2-2-2-2200-2-22002222000000-2-2-2-2-2220000000000000
χ234444444400-4-400440000-400000000000000022-2-22-20000000000000
χ244444444400-4-400440000-4000000000000000-2-222-220000000000000
χ254444444400-4-400-4-40000400000000000000022-2-2-220000000000000
χ264444444400-4-400-4-400004000000000000000-2-2222-20000000000000
χ27444444-4-4004-400000000000224-4002000-2-20000000002-2000000000
χ28444444-4-4004-40000000000022-44002000-2-2000000000-22000000000
χ29444444-4-4004-400000000000-2-24-400-200022000000000-22000000000
χ30444444-4-4004-400000000000-2-2-4400-2000220000000002-2000000000
χ31444444-4-400-440000002200000004-402-2-20000000002-200000000000
χ32444444-4-400-44000000220000000-4402-2-2000000000-2200000000000
χ33444444-4-400-44000000-2-200000004-40-222000000000-2200000000000
χ34444444-4-400-44000000-2-20000000-440-2220000000002-200000000000
χ358888-8-80000000000040000-40000000000000004i−4i000000000000000
χ368888-8-80000000000040000-4000000000000000−4i4i000000000000000
χ378888-8-800000000000-40000400000000000004i−4i00000000000000000
χ388888-8-800000000000-4000040000000000000−4i4i00000000000000000
χ39888-88-80000004400-4000000440000-40000000000000000000000000
χ40888-88-80000004400-4000000-4-4000040000000000000000000000000
χ41888-88-8000000-4-400400000000000000004-400000000000000000000
χ42888-88-8000000-4-40040000000000000000-4400000000000000000000
χ43888-8-88004400000000440-400000000-4000000000000000000000000
χ44888-8-88004400000000-4-40-4000000004000000000000000000000000
χ45888-8-8800-4-40000000000040000000004-40000000000000000000000
χ46888-8-8800-4-4000000000004000000000-440000000000000000000000
χ471616-160008-800008-800000000000000000000000000000000000000000
χ481616-160008-80000-8800000000000000000000000000000000000000000
χ491616-16000-888-8000000000000000000000000000000000000000000000
χ501616-16000-88-88000000000000000000000000000000000000000000000
χ5116-16000000000000-44004-40004-40000000000000000000002-20000000
χ5216-16000000000000-44004-4000-44000000000000000000000-220000000
χ5316-16000000000000-4400-440004-4000000000000000000000-220000000
χ5416-16000000000000-4400-44000-440000000000000000000002-20000000
χ5532-320000000000008-8000000000000000000000000000000000000000

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