Finite Group Databasebeta

← Group #72251075

Character table — Group #72251075

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222244444444444444444444888888888888888888888888888816161616161616161616161616161616161616163232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222222222444444444444444444442222444444444444444422444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-11111111111-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111111111-1-11111-1-111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ11111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ17222222222222222222222222222222-2-22222-2-22222222222222222-2-2-2-200000000-2-2-2-2000000000000-2-2-2-2000000000000000000000000
χ18222222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-20000000000002222000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000-2-222000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000222200000000000022-2-2000000000000000000000000
χ21222222222222-2-2-2-2-2-20000000022-2-22-200002-22222-2-2-2-2000000002-22-20022002200000000-2-2-2-200002-2000000000022-2-2000000000000
χ22222222222222-2-2-2-2-2-20000000022-2-22-200002-22222-2-2-2-2000000002-22-200-2-200-2-200000000222200002-20000000000-2-222000000000000
χ23222222222222-2-2-2-2-2-20000000022-2-22-200002-2-2-2-2-22222000000002-22-20022002200000000-2-2-2-20000-220000000000-2-222000000000000
χ24222222222222-2-2-2-2-2-20000000022-2-22-200002-2-2-2-2-22222000000002-22-200-2-200-2-20000000022220000-22000000000022-2-2000000000000
χ25222222222222-2-2-2-2-2-20000000022-2-2-220000-222222-2-2-2-200000000-22-22220022000000-2-2-2-200000000-2200000022-2-20000000000000000
χ26222222222222-2-2-2-2-2-20000000022-2-2-220000-222222-2-2-2-200000000-22-22-2-200-2-2000000222200000000-22000000-2-2220000000000000000
χ27222222222222-2-2-2-2-2-20000000022-2-2-220000-22-2-2-2-2222200000000-22-22220022000000-2-2-2-2000000002-2000000-2-2220000000000000000
χ28222222222222-2-2-2-2-2-20000000022-2-2-220000-22-2-2-2-2222200000000-22-22-2-200-2-20000002222000000002-200000022-2-20000000000000000
χ292222222222-2-222-2-2-2-22222-2-2-2-2-2-2222-222-2-22-20000000000000000-22-220000000022-2-2000000000202000000-2-200000000002-200000000
χ302222222222-2-222-2-2-2-22222-2-2-2-2-2-2222-222-2-22-20000000000000000-22-220000000022-2-2000000000-20-2000000220000000000-2200000000
χ312222222222-2-222-2-2-2-22222-2-2-2-2-2-222-2222-2-2-2200000000000000002-22-200000000-2-2220000000020200000-2-200000000002-20000000000
χ322222222222-2-222-2-2-2-22222-2-2-2-2-2-222-2222-2-2-2200000000000000002-22-200000000-2-22200000000-20-200000220000000000-220000000000
χ332222222222-2-222-2-2-2-2-2-2-2-22222-2-2222-2-2-2222-20000000000000000-22-2200000000-2-222000000000202000000-2-20000000000-2200000000
χ342222222222-2-222-2-2-2-2-2-2-2-22222-2-2222-2-2-2222-20000000000000000-22-2200000000-2-222000000000-20-20000002200000000002-200000000
χ352222222222-2-222-2-2-2-2-2-2-2-22222-2-222-22-2-222-2200000000000000002-22-20000000022-2-20000000020200000-2-20000000000-220000000000
χ362222222222-2-222-2-2-2-2-2-2-2-22222-2-222-22-2-222-2200000000000000002-22-20000000022-2-200000000-20-2000002200000000002-20000000000
χ372-2-222-2-2-222222222-2-200000000-2-2-2-22-20000-22000000002i2i2i2i−2i−2i−2i−2i2-2-222-2002-200000022-2-200000000002i−2i000000002i−2i2i−2i000000000000
χ382-2-222-2-2-222222222-2-200000000-2-2-2-22-20000-22000000002i2i2i2i−2i−2i−2i−2i2-2-22-2200-22000000-2-22200000000002i−2i00000000−2i2i−2i2i000000000000
χ392-2-222-2-2-222222222-2-200000000-2-2-2-22-20000-2200000000−2i−2i−2i−2i2i2i2i2i2-2-222-2002-200000022-2-20000000000−2i2i00000000−2i2i−2i2i000000000000
χ402-2-222-2-2-222222222-2-200000000-2-2-2-22-20000-2200000000−2i−2i−2i−2i2i2i2i2i2-2-22-2200-22000000-2-2220000000000−2i2i000000002i−2i2i−2i000000000000
χ412-2-222-2-2-222222222-2-200000000-2-2-2-2-2200002-2000000002i2i2i2i−2i−2i−2i−2i-222-2002-2002-20000000022-2-2000000−2i2i00002i−2i2i−2i0000000000000000
χ422-2-222-2-2-222222222-2-200000000-2-2-2-2-2200002-2000000002i2i2i2i−2i−2i−2i−2i-222-200-2200-2200000000-2-222000000−2i2i0000−2i2i−2i2i0000000000000000
χ432-2-222-2-2-222222222-2-200000000-2-2-2-2-2200002-200000000−2i−2i−2i−2i2i2i2i2i-222-2002-2002-20000000022-2-20000002i−2i0000−2i2i−2i2i0000000000000000
χ442-2-222-2-2-222222222-2-200000000-2-2-2-2-2200002-200000000−2i−2i−2i−2i2i2i2i2i-222-200-2200-2200000000-2-2220000002i−2i00002i−2i2i−2i0000000000000000
χ452-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-222222-22-2-2-2000000000000000022-2-2000000002-22-2000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ462-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-222222-22-2-2-2000000000000000022-2-2000000002-22-200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ472-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-22-22-2220000000000000000-2-2222-22-22-22-2-22-22-2-222-2-22200000000000000000000000000000000
χ482-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-22-22-2220000000000000000-2-222-22-22-22-22-22-2222-2-222-2-200000000000000000000000000000000
χ492-2-222-2-2-22222-2-2-2-222-2-222-2-222-2-22222-22-22-2-2000000000000000022-2-200000000-22-22000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ502-2-222-2-2-22222-2-2-2-222-2-222-2-222-2-22222-22-22-2-2000000000000000022-2-200000000-22-2200000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ512-2-222-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-2-22-22220000000000000000-2-2222-2-222-2-222-22-2-2-22222-2-200000000000000000000000000000000
χ522-2-222-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-2-22-22220000000000000000-2-222-222-2-222-22-22-222-2-2-2-22200000000000000000000000000000000
χ532-2-222-2-2-222-2-2-2-222-2-222-2-2-2-22222222-22-2-22-220000000000000000-222-2000000002-2-22000000000000000000000000000000002-2002-200
χ542-2-222-2-2-222-2-2-2-222-2-222-2-2-2-22222222-22-2-22-220000000000000000-222-2000000002-2-2200000000000000000000000000000000-2200-2200
χ552-2-222-2-2-222-2-2-2-222-2-222-2-2-2-2222222-222-2-222-200000000000000002-2-2200000000-222-200000000000000000000000000000000002-2002-2
χ562-2-222-2-2-222-2-2-2-222-2-222-2-2-2-2222222-222-2-222-200000000000000002-2-2200000000-222-20000000000000000000000000000000000-2200-22
χ572-2-222-2-2-222-2-2-2-222-2-2-2-22222-2-222222-2-222-2-220000000000000000-222-200000000-222-2000000000000000000000000000000002-200-2200
χ582-2-222-2-2-222-2-2-2-222-2-2-2-22222-2-222222-2-222-2-220000000000000000-222-200000000-222-200000000000000000000000000000000-22002-200
χ592-2-222-2-2-222-2-2-2-222-2-2-2-22222-2-22222-22-222-22-200000000000000002-2-22000000002-2-2200000000000000000000000000000000002-200-22
χ602-2-222-2-2-222-2-2-2-222-2-2-2-22222-2-22222-22-222-22-200000000000000002-2-22000000002-2-220000000000000000000000000000000000-22002-2
χ614444444444-4-4-4-4444400000000-4-4-4-4440000440000000000000000-4-4-4-40000000000000000000000000000000000000000000000000000
χ624444444444-4-4-4-4444400000000-4-4-4-4-4-40000-4-4000000000000000044440000000000000000000000000000000000000000000000000000
χ634444-44-4-4-44004-4000000004444004-40000-4-400000000000000000000002222-2-2-2-200002-22-22-22-200000000000000000000000000000000
χ644444-44-4-4-44004-4000000004444004-40000-4-40000000000000000000000-2-2-2-222220000-22-22-22-2200000000000000000000000000000000
χ654444-44-4-4-44004-400000000-4-4-4-4004-4000044000000000000000000000022-2-2-2-22200002-22-2-22-2200000000000000000000000000000000
χ664444-44-4-4-44004-400000000-4-4-4-4004-40000440000000000000000000000-2-22222-2-20000-22-222-22-200000000000000000000000000000000
χ674444-44-4-4-4400-4400004444000000-4400-4-40000000000000000000000002222-2-2-2-20000-22-22-22-2200000000000000000000000000000000
χ684444-44-4-4-4400-4400004444000000-4400-4-4000000000000000000000000-2-2-2-2222200002-22-22-22-200000000000000000000000000000000
χ694444-44-4-4-4400-440000-4-4-4-4000000-44004400000000000000000000000022-2-2-2-2220000-22-222-22-200000000000000000000000000000000
χ704444-44-4-4-4400-440000-4-4-4-4000000-440044000000000000000000000000-2-22222-2-200002-22-2-22-2200000000000000000000000000000000
χ714444-4-44-44-44-4000000000000004-40000000000000044-4-40000000000000000000000000000000022-2-200002-22-200000000000000000000
χ724444-4-44-44-44-4000000000000004-40000000000000044-4-400000000000000000000000000000000-2-2220000-22-2200000000000000000000
χ734444-4-44-44-44-4000000000000004-400000000000000-4-444000000000000000000000000000000002-2-2200002-2-2200000000000000000000
χ744444-4-44-44-44-4000000000000004-400000000000000-4-44400000000000000000000000000000000-222-20000-222-200000000000000000000
χ754444-4-44-44-4-4400000000000000-44000000000044-4-400000000000000000000000000000000000022-2-20000-22-2200000000000000000000
χ764444-4-44-44-4-4400000000000000-44000000000044-4-4000000000000000000000000000000000000-2-22200002-22-200000000000000000000
χ774444-4-44-44-4-4400000000000000-440000000000-4-4440000000000000000000000000000000000002-2-220000-222-200000000000000000000
χ784444-4-44-44-4-4400000000000000-440000000000-4-444000000000000000000000000000000000000-222-200002-2-2200000000000000000000
χ794-4-444-4-4-444-4-444-4-4440000000044-4-4440000-4-40000000000000000-4-4440000000000000000000000000000000000000000000000000000
χ804-4-444-4-4-444-4-444-4-4440000000044-4-4-4-4000044000000000000000044-4-40000000000000000000000000000000000000000000000000000
χ814-4-44-4-444-44004-4000044-4-4000000-4400-440000000000000000000000002-22-2-22-2200002-2-222-2-2200000000000000000000000000000000
χ824-4-44-4-444-44004-4000044-4-4000000-4400-44000000000000000000000000-22-222-22-20000-222-2-222-200000000000000000000000000000000
χ834-4-44-4-444-44004-40000-4-444000000-44004-40000000000000000000000002-2-22-222-200002-2-22-222-200000000000000000000000000000000
χ844-4-44-4-444-44004-40000-4-444000000-44004-4000000000000000000000000-222-22-2-220000-222-22-2-2200000000000000000000000000000000
χ854-4-44-4-444-4400-440000000044-4-4004-40000-4400000000000000000000002-22-2-22-220000-222-2-222-200000000000000000000000000000000
χ864-4-44-4-444-4400-440000000044-4-4004-40000-440000000000000000000000-22-222-22-200002-2-222-2-2200000000000000000000000000000000
χ874-4-44-4-444-4400-4400000000-4-444004-400004-400000000000000000000002-2-22-222-20000-222-22-2-2200000000000000000000000000000000
χ884-4-44-4-444-4400-4400000000-4-444004-400004-40000000000000000000000-222-22-2-2200002-2-22-222-200000000000000000000000000000000
χ8988888-8-88-8-800000000000000000000000000000000000044-4-444-4-400000000000000000000000000000000000000000000000000000000
χ9088888-8-88-8-8000000000000000000000000000000000000-4-444-4-44400000000000000000000000000000000000000000000000000000000
χ9188-8-800000000004-44-44-44-44-44-4000000000000004i−4i004i−4i004i−4i004i−4i00000000000000000000000000000000000000000000000000000000
χ9288-8-800000000004-44-44-44-44-44-400000000000000−4i4i00−4i4i00−4i4i00−4i4i00000000000000000000000000000000000000000000000000000000
χ9388-8-800000000004-44-4-44-44-44-44000000000000004i−4i004i−4i00−4i4i00−4i4i00000000000000000000000000000000000000000000000000000000
χ9488-8-800000000004-44-4-44-44-44-4400000000000000−4i4i00−4i4i004i−4i004i−4i00000000000000000000000000000000000000000000000000000000
χ9588-8-80000000000-44-444-44-4-44-44000000000000004i−4i00−4i4i4i−4i004i−4i0000000000000000000000000000000000000000000000000000000000
χ9688-8-80000000000-44-444-44-4-44-4400000000000000−4i4i004i−4i−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000
χ9788-8-80000000000-44-44-44-444-44-4000000000000004i−4i00−4i4i−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000
χ9888-8-80000000000-44-44-44-444-44-400000000000000−4i4i004i−4i4i−4i004i−4i0000000000000000000000000000000000000000000000000000000000
χ998-88-800000000004-4-444-4-44-444-40000000000004-4004-400004-400-4400000000000000000000000000000000000000000000000000000000
χ1008-88-800000000004-4-444-4-44-444-4000000000000-4400-440000-44004-400000000000000000000000000000000000000000000000000000000
χ1018-88-800000000004-4-44-444-44-4-440000000000004-4004-40000-44004-400000000000000000000000000000000000000000000000000000000
χ1028-88-800000000004-4-44-444-44-4-44000000000000-4400-4400004-400-4400000000000000000000000000000000000000000000000000000000
χ1038-88-80000000000-444-44-4-444-4-440000000000004-400-44004-400-440000000000000000000000000000000000000000000000000000000000
χ1048-88-80000000000-444-44-4-444-4-44000000000000-44004-400-44004-40000000000000000000000000000000000000000000000000000000000
χ1058-88-80000000000-444-4-444-4-444-40000000000004-400-4400-44004-40000000000000000000000000000000000000000000000000000000000
χ1068-88-80000000000-444-4-444-4-444-4000000000000-44004-4004-400-440000000000000000000000000000000000000000000000000000000000
χ1078-8-88888-8-8-80000000000000000000000000000000000004i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000
χ1088-8-88888-8-8-8000000000000000000000000000000000000−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000
χ1098-8-88-88-888-88-800000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-88-888-8-88000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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