Finite Group Databasebeta

← Group #72339051

Character table — Group #72339051

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11222444444444488888816161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464128128128128128128128128128128128128
order1222222444444442222442222222222222244444444444444222222444444444444444448888888888888888444444448888444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1111111-1-111111111111-11-1-11-111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1111111-1-111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-11-11111-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-1111111111-1-1-1-1
χ9111111111-1-11111-1-1-1-11-11-11111-1-1-1-111111-1-1-111-1-11-111111-1-1-111-11111-1-11-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1111-11-111-1-111-1-111-1-1
χ10111111111-1-11111-1-1-1-11-11-11111-1-1-1-111111-1-1-111-1-11-111111-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-1-1-111111111111-11-1-11-1-11-1-1111-1-1-1-111-1-111
χ11111111111-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1111-1-1-1-1-1-1-11-111111-1-111-111-111-1-11-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-1-1-111
χ12111111111-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1111-1-1-1-1-1-1-11-111111-1-11-111-1111-1-11-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1111-11-1-1-1-111-1-11111-1-1
χ13111111111-1-11111-1-1-1-11-11-1-1-1-1-1111111111-1-1-111-1-11-111111-1-1-111-111-1-1111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1111-11-1-1-111-1-111-1-111
χ14111111111-1-11111-1-1-1-11-11-1-1-1-1-1111111111-1-1-111-1-11-111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111111111111-11-1-11-1-11-1-11-1-11111-1-111-1-1
χ15111111111-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1111-1-1-1-1-1-1-11-111111-1-111-111-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-111-1-1-1-111111-1-1-1-11111-1-1
χ16111111111-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1111-1-1-1-1-1-1-11-111111-1-11-111-11-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-11-1111-11-1-111-1-111-1-1-1-111
χ171111111-1-1111111-1-1-1-1-11-1111-1-111-1-11111-11-1-111-1-1-111111-11-1-111-1111-11-1-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1111-1-11-111-11-11-11-11-11-1
χ181111111-1-1111111-1-1-1-1-11-1111-1-111-1-11111-11-1-111-1-1-111111-11-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-111111111-1-11111-111-1-1-1-11-111-11-11-1-11-11-11-11
χ191111111-1-1111111-1-1-1-1-11-1111-1-111-1-1-1-111-11-1-1-1-1-1-1-111111-11-111-111-11-11-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-111-1-1-1-11-111-11-1-11-11
χ201111111-1-1111111-1-1-1-1-11-1111-1-111-1-1-1-111-11-1-1-1-1-1-1-111111-11-11-111-111-11-1-1111-1-111-1-111-1-111111111-1-1-1-1-1-1-11-1-11-11-111-11-11-11-111-11-1
χ211111111-1-1111111-1-1-1-1-11-11-1-111-1-1111111-11-1-111-1-1-111111-11-1-111-111-11-11-11-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11-1111-1-11-11-11-11-11-11-11-11
χ221111111-1-1111111-1-1-1-1-11-11-1-111-1-1111111-11-1-111-1-1-111111-11-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-111111111-1-11111-111-1-1-1-11-111-1-11-111-11-11-11-1
χ231111111-1-1111111-1-1-1-1-11-11-1-111-1-111-1-111-11-1-1-1-1-1-1-111111-11-111-111-1-11-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1111-111-1-1-11-11-1-11-111-11-1
χ241111111-1-1111111-1-1-1-1-11-11-1-111-1-111-1-111-11-1-1-1-1-1-1-111111-11-11-111-11-11-11-11-1-111-1-11111-1-111111111-1-1-1-1-1-1-11-1-11-11-1111-11-11-11-1-11-11
χ251111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-11111-1-111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-11-1-1-1-1-11-1-111-1-111-1-11
χ261111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-11111-1-111-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-1111-1-11-111-1-111-1
χ271111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-11-11-1-11-11-1-11-1-111-1-1-1-1111111-1-1111111-1-1-1-1-11-1-11-1-1111-11-111-11-1-11-111-1
χ281111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-11-1-11-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-111-1111-1-111-1-111-11-1-11
χ291111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111-1-11111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-11-1-1-1-1-1-111-1-111-1-111-1
χ301111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111-1-111-1-11-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-111-111-11-1-111-1-11
χ311111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11-11-1-11-1-111-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-11-1-11-1-1111-111-1-11-111-11-1-11
χ321111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11-1-11-1-11-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-1-111-1111-11-1-111-1-11-111-1
χ3322222222222222222-2-2222-20000000000-2-22-22-200222222-2-2-2-2-20020020000-220000000000000000002222-2-2020000-2-2000-2000000000000
χ3422222222222222222-2-2222-20000000000-2-22-22-200222222-2-2-2-2-200-200-20000-22000000000000000000-2-2-2-2220-20000220002000000000000
χ35222222222222222-2-22222-220000000000-2-2-22-22002222-2-222-2-2-202002000002-20000000000002222-2-20000002000-2-20000-20000000000000
χ36222222222222222-2-22222-220000000000-2-2-22-22002222-2-222-2-2-20-200-2000002-2000000000000-2-2-2-222000000-200022000020000000000000
χ37222222222222222-2-2-2-222-2-2000000002222-2-2-2-2222222-2-2-2-2222-200-2000000-2-200000000222200000000000000-220000-2-200000000000000
χ38222222222222222-2-2-2-222-2-200000000-2-222-2-2-2-2-2-22222-2-2-2-22222002000000-2-200000000-2-2-2-2000000000000002-200002200000000000000
χ39222222222-2-2222222222-2-22000000002222-222222-2-22-2-2-2-2-22-2-22002000000-220000000022-2-200000000000000-2-20000-2200000000000000
χ40222222222-2-2222222222-2-2200000000-2-222-2222-2-2-2-22-2-2-2-2-22-2-2-200-2000000-2200000000-2-222000000000000002200002-200000000000000
χ41222222222-2-2222222-2-22-2-2-20000000000-2-2-2-22-200-2-22-2-2-222-22202002000002200000000000022-2-222000000-2000-220000-20000000000000
χ42222222222-2-2222222-2-22-2-2-20000000000-2-2-2-22-200-2-22-2-2-222-2220-200-20000022000000000000-2-222-2-200000020002-2000020000000000000
χ43222222222-2-22222-2-2222-2220000000000-2-222-2200-2-22-222-2-2-2220020020000-2-2000000000000000000-2-2-2-222020000-2-20002000000000000
χ44222222222-2-22222-2-2222-2220000000000-2-222-2200-2-22-222-2-2-22200-200-20000-2-20000000000000000002222-2-20-2000022000-2000000000000
χ452222222-2-22222222222-222-20000000022222-22222-2-2-22-2-2-2-2-22-220020000002-200000000-2-22200000000000000-2-200002-200000000000000
χ462222222-2-22222222222-222-200000000-2-2222-222-2-2-2-2-22-2-2-2-2-22-2-200-20000002-20000000022-2-200000000000000220000-2200000000000000
χ472222222-2-222222222-2-2-22220000000000-2-2222-200-2-2-22-2-2222-220200200000-2-2000000000000-2-2-2-2220000002000-2-2000020000000000000
χ482222222-2-222222222-2-2-22220000000000-2-2222-200-2-2-22-2-2222-220-200-200000-2-20000000000002222-2-2000000-2000220000-20000000000000
χ492222222-2-2222222-2-222-22-2-20000000000-2-2-2-2-2200-2-2-2222-2-22-2200200200002200000000000000000022-2-2220-20000-22000-2000000000000
χ502222222-2-2222222-2-222-22-2-20000000000-2-2-2-2-2200-2-2-2222-2-22-2200-200-2000022000000000000000000-2-222-2-20200002-20002000000000000
χ512222222-2-2-2-2222222-2-2-2-2-220000000000-2-2-222-20022-2-222-2-222-200200200002-2000000000000000000-2-222-2-20-20000-220002000000000000
χ522222222-2-2-2-2222222-2-2-2-2-220000000000-2-2-222-20022-2-222-2-222-200-200-200002-200000000000000000022-2-2220200002-2000-2000000000000
χ532222222-2-2-2-22222-2-222-2-22-20000000000-2-22-2-220022-2-2-2-22222-20200200000-22000000000000-2-222-2-2000000-2000-22000020000000000000
χ542222222-2-2-2-22222-2-222-2-22-20000000000-2-22-2-220022-2-2-2-22222-20-200-200000-2200000000000022-2-22200000020002-20000-20000000000000
χ552222222-2-2-2-22222-2-2-2-2-2-22200000000222222-2-22222-2-2-2-2-2-2-2-22-200-20000002200000000-2-2-2-200000000000000-2200002200000000000000
χ562222222-2-2-2-22222-2-2-2-2-2-22200000000-2-22222-2-2-2-222-2-2-2-2-2-2-2-22200200000022000000002222000000000000002-20000-2-200000000000000
χ5744444440000-4-4-4-40000000000000044004-400000000004-44-4000000000000400000000-4-40000000000000000000000000000000000000000
χ5844444440000-4-4-4-400000000000000-4-4004-400000000004-44-4000000000000-400000000440000000000000000000000000000000000000000
χ5944444440000-4-4-4-4000000000000440000-4400000000004-4-440000000000040000000-4-4000000000000000000000000000000000000000000
χ6044444440000-4-4-4-4000000000000-4-40000-4400000000004-4-4400000000000-4000000044000000000000000000000000000000000000000000
χ6144444440000-4-4-4-4000000000044000000-440000000000-444-400000000004000000-4-400000000000000000000000000000000000000000000
χ6244444440000-4-4-4-40000000000-4-4000000-440000000000-444-40000000000-40000004400000000000000000000000000000000000000000000
χ6344444440000-4-4-4-40000000044000000004-40000000000-44-44000000000400000-4-40000000000000000000000000000000000000000000000
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χ6544444-4-4004444-4-444000440222222220000-40-4000000-40000000000000-2-2-2-2002-22-22-22-20000000000000000000000000000000000000000
χ6644444-4-4004444-4-444000440-2-2-2-2-2-2-2-20000-40-4000000-40000000000000222200-22-22-22-220000000000000000000000000000000000000000
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χ7444444-4-44400-4-44400444004-2-2-2-2-2-2-2-200000-40-40000-4000000000000002222002-22-22-22-20000000000000000000000000000000000000000
χ7544444-4-44400-4-44400-4-4400-42222-2-2-2-2000004040000-400000000000000-2-22200-22-222-22-20000000000000000000000000000000000000000
χ7644444-4-44400-4-44400-4-4400-4-2-2-2-22222000004040000-40000000000000022-2-2002-22-2-22-220000000000000000000000000000000000000000
χ7744444-4-4-4-400-4-4440044-400-422-2-2-2-2220000040-40000400000000000000-222-200-222-22-2-220000000000000000000000000000000000000000
χ7844444-4-4-4-400-4-4440044-400-4-2-22222-2-20000040-400004000000000000002-2-22002-2-22-222-20000000000000000000000000000000000000000
χ7944444-4-4-4-400-4-44400-4-4-400422-2-222-2-200000-4040000400000000000000-22-2200-222-2-222-20000000000000000000000000000000000000000
χ8044444-4-4-4-400-4-44400-4-4-4004-2-222-2-22200000-40400004000000000000002-22-2002-2-222-2-220000000000000000000000000000000000000000
χ81888-8-88-8000000000000000000000000000000000000000000000400-4000000000000000000004i−4i00004i−4i0000000000000000000000000000
χ82888-8-88-8000000000000000000000000000000000000000000000400-400000000000000000000−4i4i0000−4i4i0000000000000000000000000000
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χ9088-88-8000000008-8008-800000000000000000000000000000000000-40040000000000000000000000000000-44000000000000000000000000
χ9188-88-8000000008-800-8800000000000000000000000000000000000400-40000000000000000000000000000-44000000000000000000000000
χ9288-88-8000000008-800-8800000000000000000000000000000000000-400400000000000000000000000000004-4000000000000000000000000
χ9388-88-800880000-880000-8000000000004-40000004-400000000000000000000000000000004-400000000000000000000000000000000000000
χ9488-88-800880000-880000-800000000000-44000000-440000000000000000000000000000000-4400000000000000000000000000000000000000
χ9588-88-800-8-80000-8800008000000000004-40000004-40000000000000000000000000000000-4400000000000000000000000000000000000000
χ9688-88-800-8-80000-880000800000000000-44000000-4400000000000000000000000000000004-400000000000000000000000000000000000000
χ9788-8-880000008-8008-8000000000000000000000000000000000000400-4000000000000000000000004-4000000000000000000000000000000
χ9888-8-880000008-8008-8000000000000000000000000000000000000-400400000000000000000000000-44000000000000000000000000000000
χ9988-8-880000008-800-88000000000000000000000000000000000000400-400000000000000000000000-44000000000000000000000000000000
χ10088-8-880000008-800-88000000000000000000000000000000000000-4004000000000000000000000004-4000000000000000000000000000000
χ10188-8-88000088-880000000-800000000004-4000000-440000000000000000000000000000000004-4000000000000000000000000000000000000
χ10288-8-88000088-880000000-80000000000-440000004-4000000000000000000000000000000000-44000000000000000000000000000000000000
χ10388-8-880000-8-8-880000000800000000004-4000000-44000000000000000000000000000000000-44000000000000000000000000000000000000
χ10488-8-880000-8-8-88000000080000000000-440000004-40000000000000000000000000000000004-4000000000000000000000000000000000000
χ10516-16000008-88-80000000000004-44-44-44-400000000004-4000000000000000000000000000000000000000000000000000000000000000000000
χ10616-16000008-88-8000000000000-44-44-44-4400000000004-4000000000000000000000000000000000000000000000000000000000000000000000
χ10716-16000008-8-880000000000004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000000000000000000000000
χ10816-16000008-8-88000000000000-44-444-44-40000000000-44000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1600000-888-80000000000004-4-444-4-440000000000-44000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1600000-888-8000000000000-444-4-444-40000000000-44000000000000000000000000000000000000000000000000000000000000000000000
χ11116-1600000-88-880000000000004-4-44-444-400000000004-4000000000000000000000000000000000000000000000000000000000000000000000
χ11216-1600000-88-88000000000000-444-44-4-4400000000004-4000000000000000000000000000000000000000000000000000000000000000000000

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