Finite Group Databasebeta

← Group #72316589

Character table — Group #72316589

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11222444444448888888888888881616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464128128128128128128128128128128128128128128128128
order1222222222222222222222224444222222444422222244444444444444444444444444444444444444444444448888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111-1-11111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111-1-111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111-1-11111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11111-11-1111-11-111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-111-1-111-1-11-111-1-11-111-1-1
χ10111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11111-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-11-1-111-11-1-111
χ11111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-1111-111-111-111-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-1-1-111-1111-1-1-11-1-111
χ12111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-1111-11-1111-11-1111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111-1-111-1-1111-1-1-1111-111-1-1
χ13111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11-1-11-11-1-1-11-11-111-1-1-1111111-1-111-1-1-1-1-1-11111111-1-111-1-1-1-1111-1-1-1111-1-1-111
χ14111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11-1-11-1-11-1-11-1-1111-1-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1111-1-1-1111-1-1
χ15111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11-1-1-111-1-1-1-111-111-1-1-11111-1-11111-1-1-1-1-1-111111-1-11111-1-111-1-1-11-1-111-1111-1-1
χ16111111-1-111111-1-1-1-1-1-1-11111111111-1-1-11-1-1-11-1-1-11-11-1-1-11-1111-1-1-11111-1-111-1-111-1-1-1-111111-1-111-1-11111-1-11-111-1-11-1-1-111
χ1722222222222222222222222222222222-2-222-2-2220000220000-2-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222222222222222222222222222-2-222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-20000000022222222-2000000000000000000000000
χ1922222222222222222222-2-2-2-2-2-2-2-222-2-222-2-222000000000000-2-22-2-2000000000000000000002000000000000220000-2-20000
χ2022222222222222222222-2-2-2-2-2-2-2-222-2-222-2-222000000000000-2-22-2-2000000000000000000002000000000000-2-20000220000
χ2122222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-200000000000022-22200000000000000000000-2000000000000000000002i−2i2i−2i
χ2222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-200000000000022-22200000000000000000000-200000000000000000000−2i2i−2i2i
χ232222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222220022000022002-2-22-200002222000000000000-2-2-2-2-200000000000000000000
χ242222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222200-2-20000-2-2002-2-22-20000-2-2-2-2000000000000-2222200000000000000000000
χ252222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2000000000000-222-22000000000000000000002000000002-22-2000000000000
χ262222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2000000000000-222-2200000000000000000000200000000-22-22000000000000
χ272222222222222222-2-2-2-2-2-2-2-22222-2-22222-2-222000022000022-22-2-2200000000222200000000-20000-2-2-2-20000000000000000
χ282222222222222222-2-2-2-2-2-2-2-22222-2-22222-2-2220000-2-20000-2-2-22-2-2200000000-2-2-2-200000000-2000022220000000000000000
χ292222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-20000000000002-222-2000000000000000000002000000000000002-22-2000000
χ302222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-20000000000002-222-200000000000000000000200000000000000-22-22000000
χ31222222-2-222222-2-2-222222222-2-2-2-2-2-2222-2-2-22-2000000000000-22-22-2000000000000000000002000000002-2-22000000000000
χ32222222-2-222222-2-2-222222222-2-2-2-2-2-2222-2-2-22-2000000000000-22-22-200000000000000000000200000000-222-2000000000000
χ33222222-2-222222-2-2-222222222-2-2-2-2-2-222-22-2-2-22002-200002-2002-22-22000022-2-2000000000000-2-2-22200000000000000000000
χ34222222-2-222222-2-2-222222222-2-2-2-2-2-222-22-2-2-2200-220000-22002-22-220000-2-222000000000000-222-2-200000000000000000000
χ35222222-2-222222-2-2-22222-2-2-2-22222-2-2-2-22-2222-20000000000002-2-2-22000000000000000000002000000000000002-2-22000000
χ36222222-2-222222-2-2-22222-2-2-2-22222-2-2-2-22-2222-20000000000002-2-2-2200000000000000000000200000000000000-222-2000000
χ37222222-2-222222-2-2-22222-2-2-2-22222-2-2-2-2-2222-2200002-200002-2-2222-20000000022-2-200000000-20000-2-2220000000000000000
χ38222222-2-222222-2-2-22222-2-2-2-22222-2-2-2-2-2222-220000-220000-22-2222-200000000-2-22200000000-2000022-2-20000000000000000
χ39222222-2-222222-2-2-2-2-2-2-22222222222-2-22-2-2-22-2220000220000-2-2222-2-2-2-200000000-2-2-2-22222-2000000000000000000000000
χ40222222-2-222222-2-2-2-2-2-2-22222222222-2-22-2-2-22-2-2-20000-2-20000-2-22222222000000002222-2-2-2-2-2000000000000000000000000
χ41222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2222-2000000000000222-2-200000000000000000000-2000000000000000000002i−2i−2i2i
χ42222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2222-2000000000000222-2-200000000000000000000-200000000000000000000−2i2i2i−2i
χ43222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2222-22000000000000-2-2-2220000000000000000000020000000000002-20000-220000
χ44222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2222-22000000000000-2-2-222000000000000000000002000000000000-2200002-20000
χ4544444444-4-4-4-444-4-400000000000000004400-4-4220000-2-200000000022-2-20000000022-2-222-2-20000000000000000000000000
χ4644444444-4-4-4-444-4-400000000000000004400-4-4-2-2000022000000000-2-22200000000-2-222-2-2220000000000000000000000000
χ4744444444-4-4-4-444-4-40000000000000000-4-40044220000-2-200000000022-2-200000000-2-222-2-2220000000000000000000000000
χ4844444444-4-4-4-444-4-40000000000000000-4-40044-2-2000022000000000-2-2220000000022-2-222-2-20000000000000000000000000
χ49444444-4-4-4-4-4-44-44400000000000000004-400-44220000-2-2000000000-2-22200000000-2-22222-2-20000000000000000000000000
χ50444444-4-4-4-4-4-44-44400000000000000004-400-44-2-200002200000000022-2-20000000022-2-2-2-2220000000000000000000000000
χ51444444-4-4-4-4-4-44-4440000000000000000-44004-4220000-2-2000000000-2-2220000000022-2-2-2-2220000000000000000000000000
χ52444444-4-4-4-4-4-44-4440000000000000000-44004-4-2-200002200000000022-2-200000000-2-22222-2-20000000000000000000000000
χ5344444-44444-4-4-4-44-40000000044-4-4004-4000000002200002200000000000-2-2-2-200000000000002-22-200000000000000000000
χ5444444-44444-4-4-4-44-40000000044-4-4004-400000000-2-20000-2-20000000000022220000000000000-22-2200000000000000000000
χ5544444-44444-4-4-4-44-400000000-4-44400-44000000002200002200000000000-2-2-2-20000000000000-22-2200000000000000000000
χ5644444-44444-4-4-4-44-400000000-4-44400-4400000000-2-20000-2-200000000000222200000000000002-22-200000000000000000000
χ5744444-444-4-444-4-4-44000044-4-400000000004-4000000220000220000000000000-2-2-2-200000000000002-22-20000000000000000
χ5844444-444-4-444-4-4-44000044-4-400000000004-4000000-2-20000-2-2000000000000022220000000000000-22-220000000000000000
χ5944444-444-4-444-4-4-440000-4-4440000000000-44000000220000220000000000000-2-2-2-20000000000000-22-220000000000000000
χ6044444-444-4-444-4-4-440000-4-4440000000000-44000000-2-20000-2-20000000000000222200000000000002-22-20000000000000000
χ6144444-4-4-444-4-4-44-440000000044-4-400-44000000002-200002-200000000000-2-22200000000000002-2-2200000000000000000000
χ6244444-4-4-444-4-4-44-440000000044-4-400-4400000000-220000-220000000000022-2-20000000000000-222-200000000000000000000
χ6344444-4-4-444-4-4-44-4400000000-4-444004-4000000002-200002-200000000000-2-2220000000000000-222-200000000000000000000
χ6444444-4-4-444-4-4-44-4400000000-4-444004-400000000-220000-220000000000022-2-200000000000002-2-2200000000000000000000
χ6544444-4-4-4-4-444-444-4000044-4-40000000000-440000002-200002-20000000000000-2-22200000000000002-2-220000000000000000
χ6644444-4-4-4-4-444-444-4000044-4-40000000000-44000000-220000-22000000000000022-2-20000000000000-222-20000000000000000
χ6744444-4-4-4-4-444-444-40000-4-44400000000004-40000002-200002-20000000000000-2-2220000000000000-222-20000000000000000
χ6844444-4-4-4-4-444-444-40000-4-44400000000004-4000000-220000-22000000000000022-2-200000000000002-2-220000000000000000
χ69888-8-8000008-800000000008-800000000000000000400000-400000000000004-40000000000000000000000000000000000000
χ70888-8-8000008-800000000008-800000000000000000-40000040000000000000-440000000000000000000000000000000000000
χ71888-8-8000008-80000000000-880000000000000000400000-40000000000004-4000000000000000000000000000000000000000
χ72888-8-8000008-80000000000-880000000000000000-4000004000000000000-44000000000000000000000000000000000000000
χ73888-8-800000-88000000008-80000000000000000000400000-40000000000000-440000000000000000000000000000000000000
χ74888-8-800000-88000000008-80000000000000000000-400000400000000000004-40000000000000000000000000000000000000
χ75888-8-800000-8800000000-88000000000000000000400000-4000000000000-44000000000000000000000000000000000000000
χ76888-8-800000-8800000000-88000000000000000000-40000040000000000004-4000000000000000000000000000000000000000
χ7788-88-80008-800000000000000008-8000000000000000400000-40000000000000004-4000000000000000000000000000000000
χ7888-88-80008-800000000000000008-8000000000000000-4000004000000000000000-44000000000000000000000000000000000
χ7988-88-80008-80000000000000000-8800000000000000400000-4000000000000004-400000000000000000000000000000000000
χ8088-88-80008-80000000000000000-8800000000000000-400000400000000000000-4400000000000000000000000000000000000
χ8188-88-8000-88000000000000008-800000000000000000400000-4000000000000000-44000000000000000000000000000000000
χ8288-88-8000-88000000000000008-800000000000000000-40000040000000000000004-4000000000000000000000000000000000
χ8388-88-8000-8800000000000000-880000000000000000400000-400000000000000-4400000000000000000000000000000000000
χ8488-88-8000-8800000000000000-880000000000000000-4000004000000000000004-400000000000000000000000000000000000
χ8588-8-8808-80000000044-4-4000000004-4000000000000004-4000000000004-400000000000000000000000000000000000000000
χ8688-8-8808-80000000044-4-4000000004-400000000000000-4400000000000-4400000000000000000000000000000000000000000
χ8788-8-8808-800000000-4-44400000000-44000000004-40000000000000004-40000000000000000000000000000000000000000000
χ8888-8-8808-800000000-4-44400000000-4400000000-44000000000000000-440000000000000000000000000000000000000000000
χ8988-8-880-880000000044-4-400000000-44000000004-4000000000000000-440000000000000000000000000000000000000000000
χ9088-8-880-880000000044-4-400000000-4400000000-440000000000000004-40000000000000000000000000000000000000000000
χ9188-8-880-8800000000-4-444000000004-4000000000000004-400000000000-4400000000000000000000000000000000000000000
χ9288-8-880-8800000000-4-444000000004-400000000000000-44000000000004-400000000000000000000000000000000000000000
χ9316-160008000000-8000008-800000000000000000000000000000000000000000000000004i−4i004i−4i0000000000000000000000000
χ9416-160008000000-8000008-80000000000000000000000000000000000000000000000000−4i4i00−4i4i0000000000000000000000000
χ9516-160008000000-800000-8800000000000000000000000000000000000000000000000004i−4i00−4i4i0000000000000000000000000
χ9616-160008000000-800000-880000000000000000000000000000000000000000000000000−4i4i004i−4i0000000000000000000000000
χ9716-16000-800000080008-800000000000000000000000000000000000000000000000004-4004-4000000000000000000000000000
χ9816-16000-800000080008-80000000000000000000000000000000000000000000000000-4400-44000000000000000000000000000
χ9916-16000-80000008000-8800000000000000000000000000000000000000000000000004-400-44000000000000000000000000000
χ10016-16000-80000008000-880000000000000000000000000000000000000000000000000-44004-4000000000000000000000000000

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