Finite Group Databasebeta

← Group #72317812

Character table — Group #72317812

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222224444442222222222244444444422222222222244444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-11111111111111-1-1111111-1-11111111111-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111111111111-1-11111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-111-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-111-1-11-111111111-1-1-1-11111
χ8111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-11-1-11111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111111-1-111-1-1-11111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-111-1-111
χ121111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11111-1111-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-11-111-1-11-11-11-11-1-1-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-11-1-11111-1111-11111-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-111-1-11-11-11-111111-1-1-1-111-1-1-1-111
χ171111111111-1-1-1-1111111-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-11-11-111111-11-11-11-11-1-1-1111-11-1-1-1111111-1-1-11-11-1-1-1-1111-111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-1111111-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-11-11-1-1-1-1-11-11-11-11-11-1-1-1111-11-1-1-1-1-111-1-1111-11-11-111-11-1111-1-111-1-1-11-11-11-11
χ191111111111-1-1-1-1111111-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-1-11-111111-11-111-1-11-11-1-111-11-11-1-1111111-1-1-11-11-1-1-1-1111-1-1-111-1-111-11-11-11-11
χ201111111111-1-1-1-1111111-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-1-11-11-1-1-1-1-11-111-1-11-11-1-111-11-11-1-1-1-111-1-1111-11-11-111-11-11-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1111-1111-11-111-1-11-11-11-11-11-111-1-11-11-11111-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1111-11-1-11-11
χ221111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1111-1111-11-1-1-1111-11-11-11-11-111-1-11-11-111-1-1-1-1111-1-1-111-11111-1-1-1-1-111-1-111-11-111-11-1
χ231111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1111-111-11-1111-1-1-11-111-1-11-1111-1-1-11-111111-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1-11-111-11-1
χ241111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1111-111-11-11-1-111-11-111-1-11-1111-1-1-11-1111-1-1-1-1111-1-1-111-11111-1-1-111-1-111-1-11-11-1-11-11
χ251111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-11111-1-1111111-1-11-111-1-11-1-1-1-11-1-11-1-1-1-11111-1-11-11-111-11-1-11-111-1-1-1-1111-1-111-1-11
χ261111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-11111-1-11-1-1-1-11-1-11-111-1-11-1-1-1-11-1-11-1-11111-1-111-11-11-111-11-1-1111-1-1-1-111-111-1-111-1
χ271111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-1111-111-11111-111-1-11-111-1-1-1-1-1-111-1-1-1-1-11111-1-11-11-111-11-1-11-1-1-11111-1-1-111-1-111-1
χ281111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-1111-111-1-1-1-1-1-111-1-11-111-1-1-1-1-1-111-1-1-11111-1-111-11-11-111-11-1-11-1-11111-1-11-1-111-1-11
χ291111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-11-1-1111-1-11-1-11-111-1-1111111-1-1111-1-1-1-1-1-1-11-1-111-1-1-111111-1-11111-1-11-1-11-111-1
χ301111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-11-1-11-1-1111-1-11-111-1-1111111-1-111111-1-1111-111-1-11-11-1-11-1-1-1-11111-1-1-111-11-1-11
χ311111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111-111-1-1-111-1-11-111-11111-111-111-1-1-1-1-1-1-11-1-111-1-1-11111111-1-1-1-111-111-11-1-11
χ321111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111-1-1-111-111-1-11-111-11111-111-11111-1-1111-111-1-11-11-1-11-1-111-1-1-1-1111-1-11-111-1
χ332222222222222222222222222-2-22222-2-2-2-222222-2-2-2-222000000000000-2-2000022220000-2-200-2-2000000000-2000-2000000000000000000
χ342222222222222222222222222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2000000000000-2-20000-2-2-2-2000022002200000000020002000000000000000000
χ352222222222222222-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2-2-2-222-2-200000000000022000022-2-20000-2-200-2-200000000020002000000000000000000
χ362222222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000220000-2-2220000220022000000000-2000-2000000000000000000
χ3722222222222222-2-222-2-222-2-2-222000022-2-22-22-2-2-2-22200000022000000-2-200000000000000-2-2000020022000-2-200-200000000000000000
χ3822222222222222-2-222-2-222-2-2-222000022-2-22-22-2-2-2-222000000-2-2000000-2-200000000000000220000-200-2-20002200200000000000000000
χ3922222222222222-2-222-2-222-2-2-2-2-20000-2-2222-22-2-222-2-20000000022000022000000000000000000-2-202-20022000-200-20000000000000000
χ4022222222222222-2-222-2-222-2-2-2-2-20000-2-2222-22-2-222-2-200000000-2-2000022000000000000000000220-2200-2-200020020000000000000000
χ4122222222222222-2-2-2-222-2-2-2-2-222000022-2-2-22-222-2-2-2-2000000220000002200000000000000220000200-2-2000-2200-200000000000000000
χ4222222222222222-2-2-2-222-2-2-2-2-222000022-2-2-22-222-2-2-2-2000000-2-20000002200000000000000-2-20000-200220002-200200000000000000000
χ4322222222222222-2-2-2-222-2-2-2-2-2-2-20000-2-222-22-222222200000000220000-2-2000000000000000000-2-202200-2-2000200-20000000000000000
χ4422222222222222-2-2-2-222-2-2-2-2-2-2-20000-2-222-22-222222200000000-2-20000-2-2000000000000000000220-2-20022000-20020000000000000000
χ452222222222-2-2-2-2222222-2-22-2-2222222-2-22222-2-2-2-2-2-22-2-2000000000000-220000-2-22200002200-2-20000000002000-2000000000000000000
χ462222222222-2-2-2-2222222-2-22-2-222-2-2-2-2-2-22222-2-2-2-2-2-2222000000000000-22000022-2-20000-2-20022000000000-20002000000000000000000
χ472222222222-2-2-2-222-2-2-2-2222-2-2222222-2-222-2-2222-2-22-2220000000000002-20000-2-2-2-200002200-2-2000000000-20002000000000000000000
χ482222222222-2-2-2-222-2-2-2-2222-2-222-2-2-2-2-2-222-2-2222-2-22-2-2-20000000000002-2000022220000-2-200220000000002000-2000000000000000000
χ492222222222-2-2-2-2-2-222-2-2-2-2-222220000-2-2-2-22-2-22222-22000000002200002-2000000000000000000-2-20-22002-2000-20020000000000000000
χ502222222222-2-2-2-2-2-222-2-2-2-2-222220000-2-2-2-22-2-22222-2200000000-2-200002-20000000000000000002202-200-22000200-20000000000000000
χ512222222222-2-2-2-2-2-222-2-2-2-2-222-2-2000022222-2-222-2-22-200000022000000-2200000000000000-2-20000-2002-20002200-200000000000000000
χ522222222222-2-2-2-2-2-222-2-2-2-2-222-2-2000022222-2-222-2-22-2000000-2-2000000-2200000000000000220000200-22000-2-200200000000000000000
χ532222222222-2-2-2-2-2-2-2-22222-222220000-2-2-2-2-222-2-2222-200000000220000-22000000000000000000-2-20-2-200-2200020020000000000000000
χ542222222222-2-2-2-2-2-2-2-22222-222220000-2-2-2-2-222-2-2222-200000000-2-20000-2200000000000000000022022002-2000-200-20000000000000000
χ552222222222-2-2-2-2-2-2-2-22222-222-2-200002222-222-2-2-2-2-22000000220000002-200000000000000220000-200-220002-200-200000000000000000
χ562222222222-2-2-2-2-2-2-2-22222-222-2-200002222-222-2-2-2-2-22000000-2-20000002-200000000000000-2-200002002-2000-2200200000000000000000
χ572222-2-2-22-2222-2-222000000-22-22-222-2-22-22-2000002-200000022000000-2-20000222-20000-2-22-2002-2000000000000000000002-22-200000000
χ582222-2-2-22-2222-2-222000000-22-22-222-2-22-22-2000002-2000000-2-2000000220000-2-22-20000222-2002-200000000000000000000-22-2200000000
χ592222-2-2-22-2222-2-222000000-22-22-2-2-2222-22-2000002-200000022000000-2-2000022-220000-2-2-2200-2200000000000000000000-22-2200000000
χ602222-2-2-22-2222-2-222000000-22-22-2-2-2222-22-2000002-2000000-2-2000000220000-2-2-22000022-2200-22000000000000000000002-22-200000000
χ612222-2-2-22-2222-2-222000000-22-2-2222-2-2-22-2200000-22000022000000-2-2000022002-200-2-200-2200-2200000000000000002-22-2000000000000
χ622222-2-2-22-2222-2-222000000-22-2-2222-2-2-22-2200000-220000-2-2000000220000-2-2002-2002200-2200-220000000000000000-22-22000000000000
χ632222-2-2-22-2222-2-222000000-22-2-22-2-222-22-2200000-22000022000000-2-200002200-2200-2-2002-2002-20000000000000000-22-22000000000000
χ642222-2-2-22-2222-2-222000000-22-2-22-2-222-22-2200000-220000-2-2000000220000-2-200-220022002-2002-200000000000000002-22-2000000000000
χ652222-2-2-22-22-2-22222000000-2-222-222-2-2-222-200000-2200002-2000000-2200002-200-2200-22002-200-2200000000000000002-2-22000000000000
χ662222-2-2-22-22-2-22222000000-2-222-222-2-2-222-200000-220000-220000002-20000-2200-22002-2002-200-220000000000000000-222-2000000000000
χ672222-2-2-22-22-2-22222000000-2-222-2-2-222-222-200000-2200002-2000000-2200002-2002-200-2200-22002-20000000000000000-222-2000000000000
χ682222-2-2-22-22-2-22222000000-2-222-2-2-222-222-200000-220000-220000002-20000-22002-2002-200-22002-200000000000000002-2-22000000000000
χ692222-2-2-22-22-2-22222000000-2-22-2222-2-22-2-22000002-20000002-2000000-2200002-2-220000-22-22002-2000000000000000000002-2-2200000000
χ702222-2-2-22-22-2-22222000000-2-22-2222-2-22-2-22000002-2000000-220000002-20000-22-2200002-2-22002-200000000000000000000-222-200000000
χ712222-2-2-22-22-2-22222000000-2-22-22-2-2222-2-22000002-20000002-2000000-2200002-22-20000-222-200-2200000000000000000000-222-200000000
χ722222-2-2-22-22-2-22222000000-2-22-22-2-2222-2-22000002-2000000-220000002-20000-222-200002-22-200-22000000000000000000002-2-2200000000
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χ8044444-4-4-44-4-44-440000-4-40000000000000000404-4000000-22-220000-22-22002-22-200002-22-200000000000000000000000000000000000000
χ814444-444-4-4-44-4-44004400440000000000000-40-40000000022220000-2-2-2-200-2-2-2-20000222200000000000000000000000000000000000000
χ824444-444-4-4-44-4-44004400440000000000000-40-400000000-2-2-2-2000022220022220000-2-2-2-200000000000000000000000000000000000000
χ834444-444-4-4-44-4-4400-4-400-4-400000000000004040000000022-2-20000-2-22200-2-222000022-2-200000000000000000000000000000000000000
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χ854444-444-4-4-4-444-4004400-4-40000000000000-404000000002-22-20000-22-2200-22-2200002-22-200000000000000000000000000000000000000
χ864444-444-4-4-4-444-4004400-4-40000000000000-40400000000-22-2200002-22-2002-22-20000-22-2200000000000000000000000000000000000000
χ874444-444-4-4-4-444-400-4-40044000000000000040-4000000002-2-220000-222-200-222-200002-2-2200000000000000000000000000000000000000
χ884444-444-4-4-4-444-400-4-40044000000000000040-400000000-222-200002-2-22002-2-220000-222-200000000000000000000000000000000000000
χ894444-4-4-44-4444-4-4-4-40000004-444-400004-4-4400000-4400000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-44-4444-4-4-4-40000004-44-440000-444-4000004-400000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-44-44-4-444-4-400000044-44-40000-44-44000004-400000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-44-44-4-444-4-400000044-4-4400004-44-400000-4400000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88000-80000000008i−8i0000000000000000000000000000004-400000000000000000000004i−4i0000000000000000000000000000000000
χ9488-8-88000-80000000008i−8i000000000000000000000000000000-440000000000000000000000−4i4i0000000000000000000000000000000000
χ9588-8-88000-8000000000−8i8i0000000000000000000000000000004-40000000000000000000000−4i4i0000000000000000000000000000000000
χ9688-8-88000-8000000000−8i8i000000000000000000000000000000-4400000000000000000000004i−4i0000000000000000000000000000000000
χ978-88-8000-80800008-80000000000000000000000000000000000004-40000000000000000000000004-4000000000000000000000000000000
χ988-88-8000-80800008-8000000000000000000000000000000000000-44000000000000000000000000-44000000000000000000000000000000
χ998-88-8000-8080000-880000000000000000000000000000000000004-4000000000000000000000000-44000000000000000000000000000000
χ1008-88-8000-8080000-88000000000000000000000000000000000000-440000000000000000000000004-4000000000000000000000000000000
χ1018-8-8808-800000000000008-8000004-44-400000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8808-800000000000008-800000-44-440000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ1038-8-8808-80000000000000-88000004-44-40000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8808-80000000000000-8800000-44-4400000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ1058-8-880-880000000008-80000000004-4-44000000000000000000000000000000000004-4000000000000000000000000000000000000000000
χ1068-8-880-880000000008-8000000000-444-400000000000000000000000000000000000-44000000000000000000000000000000000000000000
χ1078-8-880-88000000000-880000000004-4-4400000000000000000000000000000000000-44000000000000000000000000000000000000000000
χ1088-8-880-88000000000-88000000000-444-4000000000000000000000000000000000004-4000000000000000000000000000000000000000000
χ1091616-16-16-160001600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-16000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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