Finite Group Databasebeta

← Group #72262785

Character table — Group #72262785

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222224444442222222444444444444422222222224444444444444444444444444444444444444444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-11-111111111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-11-1-11-11111111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-11111-1-1-111111-1-111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-11111111111-1-1-1-11-1-1-11-11-1-1-1-11-111111-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-11111-1-1-111111-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1111-1-1-111-11-11-11111-1-1-1-1-1-111-1-111
χ1111111111111111-1-1-1-1-1-11111-1-1-111111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-11-1-1-11-11-1-1-1-11-11-1-1-1-11111-1-111-1-111
χ1211111111111111-1-1-1-1-1-11111-1-1-111111-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1111-1-1-111-11-11-1-1-1-1-1111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1111-11-111111-1-1-1-11111-1-11111-1-1
χ1511111111111111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-111-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1111-11-1111111111-1-1-1-111-1-1-1-111
χ171111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-11111111-11-11-111111-11-11-11-11-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-11111111-11-11-1-1-1-1-11-11-11-11-11-11-11-1-1-1-1-111-1-1-1-111-1-111111-111-11-11-1-111-1-111-1-1-11-11-11-11
χ191111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-11111111-1-11-111111-11-11-11-111-1-11-11-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111-11-11-11-11
χ201111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-11111111-1-11-11-1-1-1-1-11-11-11-111-1-11-11-1-1-1-111-1-1-1-111-1-111111-111-11-11-1-1-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-1-1-1-1-1111-11-11-111-1-11-11-11-11-11-11-11-11111-1-1-1-111-1-111-111-111-1-1-1-1111-1-1-111-1-1111-11-1-11-11
χ221111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-1-1-1-1-1111-11-11-1-1-1111-11-11-11-11-11-11-111-1-1-1-11111-1-1111-1-11-11111-1-1-1-11-1-111-1-111-11-111-11-1
χ231111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-1-1-1-1-1111-1-11-1111-1-1-11-11-11-111-1-11-111111-1-1-1-111-1-111-111-111-1-1-1-1111-111-1-111-1-1-11-111-11-1
χ241111111111-1-1-1-11111-1-111-1-11-1-1111-1-11-1-1-1-1-1-1-1111-1-11-11-1-111-11-11-11-111-1-11-1111-1-1-1-11111-1-1111-1-11-11111-1-1-1-1111-1-111-1-11-11-1-11-11
χ251111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1111111-111-1-1111-1-11-1-111-1-11-111-1-11-1-1111111-1-1-1-111-1111-11-11-1-1-1-1-1111-1-1-1-1111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1111111-111-1-11-1-1111-1-111-1-11-111-1-11-1-1-1-111-1-1-1-1-1-1111-1-1-1111-11-1111-111-1-1-1-111-111-1-111-1
χ271111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1111111-11-111-111-1-1-111-1-111-1-11-111-1-1-1111111-1-1-1-111-1111-11-11-1-1-1-1-11-1-11111-1-1-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1111111-11-111-1-1-111-111-1-111-1-11-111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1111-11-1111-1-1-11111-1-11-1-111-1-11
χ291111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1-1-1-1-111-111-1-1111111-1-111-1-11-111-1-111111-1-1-1-11111-1-1-1-1-111-1-1111-11-1-1-1-11111-1-11-1-11-111-1
χ301111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1-1-1-1-111-111-1-11-1-1-1-11-1-111-1-11-111-1-1111-1-1-1-1111111-1-1111-1-1-11-1-111-111-1-11111-1-1-111-11-1-11
χ311111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1-1-1-1-111-11-111-11111-111-1-111-1-11-111-11111-1-1-1-11111-1-1-1-1-111-1-1111-11-1-111-1-1-1-111-111-11-1-11
χ321111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11-1-1-1-1-1-111-11-111-1-1-1-1-1-111-1-111-1-11-111-111-1-1-1-1111111-1-1111-1-1-11-1-111-11111-1-1-1-1111-1-11-111-1
χ332222222222222222222222-2-2222-2-222222-2-22222-2-2-2-20000000000000000-2-20000-2-200-2-20022222200000-2000-200000000000000000000
χ342222222222222222222222-2-2222-2-222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2000022002200-2-2-2-2-2-2000002000200000000000000000000
χ352222222222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-20000-2-2-2-2000022000000000022000000-2-20000000000200-200-220020-200000000000000000
χ362222222222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-20000-2-2-2-20000-2-2000000000022000000220000000000-2002002-200-20200000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-222000022220000002200000000-2-200000000002200000002-20-2000-20020-20000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-22200002222000000-2-200000000-2-20000000000-2-20000000-2202000200-2020000000000000000
χ3922222222222222-2-22222-2-222-2-2-222-2-2-222-2-20000-2-2220000220000000000-2-2000000-2-20000000000200200-2-200-20200000000000000000
χ4022222222222222-2-22222-2-222-2-2-222-2-2-222-2-20000-2-2220000-2-20000000000-2-2000000220000000000-200-200220020-200000000000000000
χ4122222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-20000002200000000220000000000-2-200000002-202000-200-2020000000000000000
χ4222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-2000000-2-200000000220000000000220000000-220-200020020-20000000000000000
χ4322222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2222-2-2-2-22222-2-2220000000000000000220000-2-200-2-20022-2-2-2-2000002000200000000000000000000
χ4422222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-222000000000000000022000022002200-2-2222200000-2000-200000000000000000000
χ452222222222-2-2-2-22222-2-222222-2-2-2-22-2-22-2222222-2-2-220000000000000000-2200002200-2-200-2-222-2-2000002000-200000000000000000000
χ462222222222-2-2-2-22222-2-222222-2-2-2-22-2-22-222-2-2-2-2-2-2-220000000000000000-220000-2-200220022-2-22200000-2000200000000000000000000
χ472222222222-2-2-2-222-2-222-2-2222-2-2-2-2-222-22-2-20000222-20000002200000000-220000000000220000000-2202000-200-20-20000000000000000
χ482222222222-2-2-2-222-2-222-2-2222-2-2-2-2-222-22-2-20000222-2000000-2-200000000-220000000000-2-200000002-20-20002002020000000000000000
χ492222222222-2-2-2-222-2-222-2-2-2-22-2-222-222-22220000-2-2-2200002200000000002-2000000-2-20000000000-2002002-20020-200000000000000000
χ502222222222-2-2-2-222-2-222-2-2-2-22-2-222-222-22220000-2-2-220000-2-200000000002-2000000220000000000200-200-2200-20200000000000000000
χ512222222222-2-2-2-2-2-222-2-2-2-222-222-2-2-2222-2-2-2000022-2200000022000000002-20000000000-2-20000000-220-2000-2002020000000000000000
χ522222222222-2-2-2-2-2-222-2-2-2-222-222-2-2-2222-2-2-2000022-22000000-2-2000000002-200000000002200000002-202000200-20-20000000000000000
χ532222222222-2-2-2-2-2-222-2-2-2-2-2-2-22222-2222-2220000-2-22-20000220000000000-22000000-2-20000000000-200-2002200-20200000000000000000
χ542222222222-2-2-2-2-2-222-2-2-2-2-2-2-22222-2222-2220000-2-22-20000-2-20000000000-22000000220000000000200200-2-20020-200000000000000000
χ552222222222-2-2-2-2-2-2-2-2222222-222-2-22-2-2-22222222-2-22-200000000000000002-200002200-2-200-2-2-2-22200000-2000200000000000000000000
χ562222222222-2-2-2-2-2-2-2-2222222-222-2-22-2-2-2222-2-2-2-2-2-22-200000000000000002-20000-2-20022002222-2-2000002000-200000000000000000000
χ5722222-22-2-2-222-2-2000000-2-22-20002-222-2002-22i2i−2i−2i2-20000220000002200-2-20000-2-22i−2i002i−2i002i−2i00000000000000000000002i−2i2i−2i00000000
χ5822222-22-2-2-222-2-2000000-2-22-20002-222-2002-22i2i−2i−2i2-20000-2-2000000-2-200220000222i−2i002i−2i002i−2i0000000000000000000000−2i2i−2i2i00000000
χ5922222-22-2-2-222-2-2000000-2-22-20002-222-2002-2−2i−2i2i2i2-20000220000002200-2-20000-2-2−2i2i00−2i2i00−2i2i0000000000000000000000−2i2i−2i2i00000000
χ6022222-22-2-2-222-2-2000000-2-22-20002-222-2002-2−2i−2i2i2i2-20000-2-2000000-2-20022000022−2i2i00−2i2i00−2i2i00000000000000000000002i−2i2i−2i00000000
χ6122222-22-2-2-222-2-2000000-2-2-22000-2222-200-222i2i−2i−2i-2200220000002200-2-20000-2-200−2i2i00−2i2i002i−2i0000000000000000002i−2i2i−2i000000000000
χ6222222-22-2-2-222-2-2000000-2-2-22000-2222-200-222i2i−2i−2i-2200-2-2000000-2-2002200002200−2i2i00−2i2i002i−2i000000000000000000−2i2i−2i2i000000000000
χ6322222-22-2-2-222-2-2000000-2-2-22000-2222-200-22−2i−2i2i2i-2200220000002200-2-20000-2-2002i−2i002i−2i00−2i2i000000000000000000−2i2i−2i2i000000000000
χ6422222-22-2-2-222-2-2000000-2-2-22000-2222-200-22−2i−2i2i2i-2200-2-2000000-2-20022000022002i−2i002i−2i00−2i2i0000000000000000002i−2i2i−2i000000000000
χ6522222-22-2-2-2-2-222000000-2-22-2000-222-22002-22i2i−2i−2i-22002-20000002-200-220000-22002i−2i00−2i2i00−2i2i0000000000000000002i−2i−2i2i000000000000
χ6622222-22-2-2-2-2-222000000-2-22-2000-222-22002-22i2i−2i−2i-2200-22000000-22002-200002-2002i−2i00−2i2i00−2i2i000000000000000000−2i2i2i−2i000000000000
χ6722222-22-2-2-2-2-222000000-2-22-2000-222-22002-2−2i−2i2i2i-22002-20000002-200-220000-2200−2i2i002i−2i002i−2i000000000000000000−2i2i2i−2i000000000000
χ6822222-22-2-2-2-2-222000000-2-22-2000-222-22002-2−2i−2i2i2i-2200-22000000-22002-200002-200−2i2i002i−2i002i−2i0000000000000000002i−2i−2i2i000000000000
χ6922222-22-2-2-2-2-222000000-2-2-220002-22-2200-222i2i−2i−2i2-200002-20000002-200-220000-22−2i2i002i−2i00−2i2i00000000000000000000002i−2i−2i2i00000000
χ7022222-22-2-2-2-2-222000000-2-2-220002-22-2200-222i2i−2i−2i2-20000-22000000-22002-200002-2−2i2i002i−2i00−2i2i0000000000000000000000−2i2i2i−2i00000000
χ7122222-22-2-2-2-2-222000000-2-2-220002-22-2200-22−2i−2i2i2i2-200002-20000002-200-220000-222i−2i00−2i2i002i−2i0000000000000000000000−2i2i2i−2i00000000
χ7222222-22-2-2-2-2-222000000-2-2-220002-22-2200-22−2i−2i2i2i2-20000-22000000-22002-200002-22i−2i00−2i2i002i−2i00000000000000000000002i−2i−2i2i00000000
χ7344444-44-4-4-444-4-4000000444-40004-4-4-4400-440000-4400000000000000000000000000000000000000000000000000000000000000000000
χ7444444-44-4-4-444-4-400000044-44000-44-4-44004-400004-400000000000000000000000000000000000000000000000000000000000000000000
χ7544444-44-4-4-4-4-444000000444-4000-44-44-400-4400004-400000000000000000000000000000000000000000000000000000000000000000000
χ7644444-44-4-4-4-4-44400000044-440004-4-44-4004-40000-4400000000000000000000000000000000000000000000000000000000000000000000
χ774444-44-4-4-444-44-4004444000000000000-4-4000000000022220000-2-2-2-2222200-2-2-2-200000000000000000000000000000000000000000000
χ784444-44-4-4-444-44-4004444000000000000-4-40000000000-2-2-2-200002222-2-2-2-200222200000000000000000000000000000000000000000000
χ794444-44-4-4-444-44-400-4-4-4-400000000000044000000000022-2-20000-2-22222-2-200-2-22200000000000000000000000000000000000000000000
χ804444-44-4-4-444-44-400-4-4-4-4000000000000440000000000-2-222000022-2-2-2-2220022-2-200000000000000000000000000000000000000000000
χ814444-44-4-4-44-44-440044-4-4000000000000-4400000000002-22-20000-22-222-22-200-22-2200000000000000000000000000000000000000000000
χ824444-44-4-4-44-44-440044-4-4000000000000-440000000000-22-2200002-22-2-22-22002-22-200000000000000000000000000000000000000000000
χ834444-44-4-4-44-44-4400-4-4440000000000004-400000000002-2-220000-222-22-2-2200-222-200000000000000000000000000000000000000000000
χ844444-44-4-4-44-44-4400-4-4440000000000004-40000000000-222-200002-2-22-222-2002-2-2200000000000000000000000000000000000000000000
χ854444-4-4-444-44-4-444400000000-44-40000000000000000022220000-2-2-2-2-2-2-2-200222200000000000000000000000000000000000000000000
χ864444-4-4-444-44-4-444400000000-44-400000000000000000-2-2-2-200002222222200-2-2-2-200000000000000000000000000000000000000000000
χ874444-4-4-444-44-4-44-4-4000000004-440000000000000000022-2-20000-2-222-2-2220022-2-200000000000000000000000000000000000000000000
χ884444-4-4-444-44-4-44-4-4000000004-4400000000000000000-2-222000022-2-222-2-200-2-22200000000000000000000000000000000000000000000
χ894444-4-4-444-4-444-44400000000-4-44000000000000000002-22-20000-22-22-22-22002-22-200000000000000000000000000000000000000000000
χ904444-4-4-444-4-444-44400000000-4-4400000000000000000-22-2200002-22-22-22-200-22-2200000000000000000000000000000000000000000000
χ914444-4-4-444-4-444-4-4-40000000044-4000000000000000002-2-220000-222-2-222-2002-2-2200000000000000000000000000000000000000000000
χ924444-4-4-444-4-444-4-4-40000000044-400000000000000000-222-200002-2-222-2-2200-222-200000000000000000000000000000000000000000000
χ9388-8-880-800000000000008i−8i000000000000000000000000004-40000000000000000004i−4i0000000000000000000000000000000000000000
χ9488-8-880-800000000000008i−8i00000000000000000000000000-44000000000000000000−4i4i0000000000000000000000000000000000000000
χ9588-8-880-80000000000000−8i8i000000000000000000000000004-4000000000000000000−4i4i0000000000000000000000000000000000000000
χ9688-8-880-80000000000000−8i8i00000000000000000000000000-440000000000000000004i−4i0000000000000000000000000000000000000000
χ978-88-808000-8000000008-800000000000000004i−4i4i−4i000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ988-88-808000-8000000008-80000000000000000−4i4i−4i4i00000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ998-88-808000-800000000-8800000000000000004i−4i4i−4i00000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ1008-88-808000-800000000-880000000000000000−4i4i−4i4i000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ1018-88-80-800080000008-80000000000000000004-4-440000000000000000000000000000000000004-400000000000000000000000000000000
χ1028-88-80-800080000008-8000000000000000000-444-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ1038-88-80-80008000000-880000000000000000004-4-44000000000000000000000000000000000000-4400000000000000000000000000000000
χ1048-88-80-80008000000-88000000000000000000-444-40000000000000000000000000000000000004-400000000000000000000000000000000
χ1058-8-88000-88000008-800000000000000000000000000000000004-4000000000000000000004-4000000000000000000000000000000000000
χ1068-8-88000-88000008-80000000000000000000000000000000000-4400000000000000000000-44000000000000000000000000000000000000
χ1078-8-88000-8800000-8800000000000000000000000000000000004-400000000000000000000-44000000000000000000000000000000000000
χ1088-8-88000-8800000-880000000000000000000000000000000000-44000000000000000000004-4000000000000000000000000000000000000
χ1091616-16-16-160160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-16-161600016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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