Finite Group Databasebeta

← Group #72318794

Character table — Group #72318794

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112244444444448888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323264646464646464646464
order12222222444444442222222222224444444444222222222244444444444444444444444444444444444444442444888888884488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ9111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11-1-1-11-111-1-11111-1-1-1-11-1-11-111-1-11111-1-111-1-11-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11-1-1-11-111-1-11111-1-1-1-11-1-11-111-1-11111-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-111-1111-1-1-1-1-1-111-1-1-111-1111-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-111-1111-1-1-1-1-1-111-1-1-111-1111-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-11-1-11111-1-111-1-11-1-1-11-1-11111-1-111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-11-1-11111-1-111-1-11-1-1-11-1-11111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1111-1-1-111-1-111-1-1-1-111-1111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1111-1-1-111-1-111-1-1-1-111-1111111-1-1-1-1-1-111111111-1-111-1-1-1-111
χ1711111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-11-11-11-11-1-1-1-11-11-1111-11-11-11-1-111-1-11-11-11-1-1111-1-111-1-11-11-11-11-11-1
χ1811111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-11-11-11-11-1-1-1-11-11-1111-11-11-11-1-111-1-11-11-1-111-1-1-111-1-111-11-11-11-11-11
χ1911111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-11-111-1-111111-11-1-1-1-11-111-11-11-1-111-11-111-1-11-1-11111-1-1-111-11-1-11-11
χ2011111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-11-111-1-111111-11-1-1-1-11-111-11-11-1-111-11-11-111-111-1-1-1-1111-1-11-111-11-1
χ2111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-11-11-1-1-11-111-11-1-111-11-1111-11-11-11-11-111-1-1-11-111-1-1111-1-111-1-11-1-11-11-11-11
χ2211111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-11-11-1-1-11-111-11-1-111-11-1111-11-11-11-11-111-1-1-11-11-111-1-1-111-1-111-111-11-11-11-1
χ2311111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-11-11111-11-11-1-111-1-1-11-11-1-11-11-1-11-111-1-1111-11-11-1-11-1-11111-1-1-11-11-111-11-1
χ2411111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-11-11111-11-11-1-111-1-1-11-11-1-11-11-1-11-111-1-1111-11-1-111-111-1-1-1-1111-11-11-1-11-11
χ2511111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-11-1-11-11-1-11-1-11-1-11-11111-111-1-11111-1-111-1-11-1-1-1111-1-111-1-1111-1-1-1-111-111-1-111-1-11
χ2611111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-11-1-11-11-1-11-1-11-1-11-11111-111-1-11111-1-111-1-11-1-1-1111-1-11-111-1-1-11111-1-11-1-111-1-111-1
χ2711111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1111-111-1-1111-111-1-11-1-1-11-11-1-11-1-1-111-11-1-11111-1-1-111-11-1-11-1-111-1-1111-11-1-11-111-1
χ2811111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1111-111-1-1111-111-1-11-1-1-11-11-1-11-1-1-111-11-1-11111-1-1-111-1-111-111-1-111-1-1-11-111-11-1-11
χ2911111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-11-111-1-1-1-111-1-111111-1-111-111-111-1-111-1-1-1-111-111-11-1-1111-1-1-1-111-11-111-1-111-1
χ3011111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-11-111-1-1-1-111-1-111111-1-111-111-111-1-111-1-1-1-111-111-1-111-1-1-11111-1-11-11-1-111-1-11
χ3111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1111-1111-1-111-1111-1-11-11-1-1-1-11-111-1-1-11-1-11-111-1111-1-11-1-111-1-11-1-111-1-1111-1-111-11-1-11
χ3211111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1111-1111-1-111-1111-1-11-11-1-1-1-11-111-1-1-11-1-11-111-1111-1-11-1-11-111-111-1-111-1-1-111-1-11-111-1
χ332222222222222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2002200000022000022222000000-2-200000000-2-2-2-2-200000000000000000000000000
χ342222222222222222-2-222220000-2-222-2-222-2-2-2-2-2-2-2-200-2-2000000-2-2000022-2-2-200000022000000002222200000000000000000000000000
χ352222222222222222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2222200-2-2000000220000-2-22-2-2000000-2-200000000-2222200000000000000000000000000
χ362222222222222222-2-2-2-2-2-20000-2-222-2-222-2-2-2-222220022000000-2-20000-2-2-22200000022000000002-2-2-2-200000000000000000000000000
χ372222222222-2-2-2-2-2-22-200000022002-22-20022-2-20000022-22000-2-200-22000002-2-200022002-20000-2-202-22-2-22000000000000000000000000
χ382222222222-2-2-2-2-2-22-200000022002-22-20022-2-2000002-22-2000-2-2002-200000-2220002200-220000-2-20-22-222-2000000000000000000000000
χ392222222222-2-2-2-2-2-22-2000000-2-2002-22-20022-2-200000-22-2-200022002-2000002-22000-2-200-2200002202-22-22-2000000000000000000000000
χ402222222222-2-2-2-2-2-22-2000000-2-2002-22-20022-2-200000-2-2220002200-2200000-22-2000-2-2002-20000220-22-22-22000000000000000000000000
χ412222222222-2-2-2-2-2-2-2200002200002-2-2200-2-2220000-202-202-22000000-2-20002-2022-200000022-22000-22-2200-2-20000000000000000000000
χ422222222222-2-2-2-2-2-2-2200002200002-2-2200-2-2220000-20-220-2-2200000022000-220-22-2000000-2-2-220002-22-200220000000000000000000000
χ432222222222-2-2-2-2-2-2-220000-2-200002-2-2200-2-2220000202-20-22-2000000220002-20-2-22000000-2-22-2000-22-2200220000000000000000000000
χ442222222222-2-2-2-2-2-2-220000-2-200002-2-2200-2-222000020-22022-2000000-2-2000-2202-22000000222-20002-22-200-2-20000000000000000000000
χ4522222222-2-222-2-2-2-22-20000220000-222-200-2-2220000202-202-2-2000000-22000-220-2220000002-2-2-2000-222-200-220000000000000000000000
χ4622222222-2-222-2-2-2-22-20000220000-222-200-2-222000020-220-2-2-20000002-20002-20222000000-22-2-20002-2-22002-20000000000000000000000
χ4722222222-2-222-2-2-2-22-20000-2-20000-222-200-2-2220000-202-20-2220000002-2000-2202-2-2000000-2222000-222-2002-20000000000000000000000
χ4822222222-2-222-2-2-2-22-20000-2-20000-222-200-2-2220000-20-220222000000-220002-20-2-2-20000002-2220002-2-2200-220000000000000000000000
χ4922222222-2-222-2-2-2-2-220000002200-22-220022-2-200000-22-22000-2200-2-200000-2220002-200220000-2202-2-22-2-2000000000000000000000000
χ5022222222-2-222-2-2-2-2-220000002200-22-220022-2-200000-2-22-2000-220022000002-2-20002-200-2-20000-220-222-222000000000000000000000000
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χ5422222222-2-2-2-222222222-2-20000-2-2-2-222-2-2-2-2-2-2-2-22200-2-20000002200002-2-2220000002200000000-222-2-200000000000000000000000000
χ5522222222-2-2-2-2222222-2-222000022-2-22222-2-2-2-222-2-200-2-2000000-2-20000-22222000000-2-200000000222-2-200000000000000000000000000
χ5622222222-2-2-2-2222222-2-2220000-2-2-2-222-2-2-2-2-2-222-2-20022000000220000-22-2-2-20000002200000000-2-2-22200000000000000000000000000
χ57222222-2-222222-2-222-22222222200-2-2-22002-22-22-22-22200002222000000-2-200000-2-2-2-2000000-2-2-2-20000000000000000000000000000000
χ58222222-2-222222-2-222-22222-2-2-2-200-2-2-22002-22-22-22-2-2-20000-2-2-2-2000000-2-200000222200000022220000000000000000000000000000000
χ59222222-2-222222-2-222-2-2-2-2-222-2-200-2-2-22002-22-2-22-222-2000022-2-20000002200000-2-222000000-2-2220000000000000000000000000000000
χ60222222-2-222222-2-222-2-2-2-2-2-2-22200-2-2-22002-22-2-22-22-220000-2-222000000220000022-2-200000022-2-20000000000000000000000000000000
χ61222222-2-222222-2-22-222222000000-2-22-200-22-22-22-220000220000002222-2-200022000000-2-2-2-2000000000-2-2-2-20000000000000000000000
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χ65222222-2-222-2-2-222-2220000002222-22-2-2222-2-22000002000200-2-22-200-2-200-2000200-2-22-200-2-20022-2000000220000000000000000000000
χ66222222-2-222-2-2-222-22200000022-2-2-22-2-2-2-22-2-22000002000-200-2-2-220022002000-200-2-2-22002200222000000-2-20000000000000000000000
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χ68222222-2-222-2-2-222-222000000-2-2-2-2-22-2-2-2-22-2-2200000-200020022-2200-2-200200020022-2200-2-200-2-22000000220000000000000000000000
χ69222222-2-222-2-2-222-2-2-20000220022-2222-2-2-222-20000-200020-22002-2-220000-200-20-2200-22-22002-200200002-2000000000000000000000000
χ70222222-2-222-2-2-222-2-2-200002200-2-2-222222-222-20000-2000-20-2200-222-2000020020-22002-22-2002-200-20000-22000000000000000000000000
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χ72222222-2-222-2-2-222-2-2-20000-2-200-2-2-222222-222-200002000202-200-22-220000200-202-2002-2-2200-2200-200002-2000000000000000000000000
χ73222222-2-2-2-222-222-22200002200222-2-2-222-222-20000200020-2-200-22-2-20000-20020-2-200-22-2-2002200-2000022000000000000000000000000
χ74222222-2-2-2-222-222-22200002200-2-22-2-2-2-2-2-222-200002000-20-2-2002-2220000200-20-2-2002-22200220020000-2-2000000000000000000000000
χ75222222-2-2-2-222-222-2220000-2-200222-2-2-222-222-20000-2000-202200-22220000-200-202200-222200-2-200-20000-2-2000000000000000000000000
χ76222222-2-2-2-222-222-2220000-2-200-2-22-2-2-2-2-2-222-20000-20002022002-2-2-200002002022002-2-2-200-2-2002000022000000000000000000000000
χ77222222-2-2-2-222-222-2-2-200000022222-222-2-22-2-2200000-2000200-22-2200-2200-2000-200-222-200-22002-220000002-20000000000000000000000
χ78222222-2-2-2-222-222-2-2-200000022-2-22-222222-2-2200000-2000-200-222-2002-2002000200-22-22002-2002-2-2000000-220000000000000000000000
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χ80222222-2-2-2-222-222-2-2-2000000-2-2-2-22-222222-2-220000020002002-22-200-22002000-2002-2-2200-2200-22-20000002-20000000000000000000000
χ81222222-2-2-2-2-2-22-2-222-222-2-200000022-2200-22-22-222-20000220000002-22-2-22000-2-2000000-22-22000000000-22-220000000000000000000000
χ82222222-2-2-2-2-2-22-2-222-222-2-200000022-2200-22-22-222-20000-2-2000000-22-22-22000220000002-22-20000000002-22-20000000000000000000000
χ83222222-2-2-2-2-2-22-2-222-2-2-22200000022-2200-22-222-2-2200002-20000002-2-222-2000-22000000-222-2000000000-222-20000000000000000000000
χ84222222-2-2-2-2-2-22-2-222-2-2-22200000022-2200-22-222-2-220000-22000000-222-22-20002-20000002-2-220000000002-2-220000000000000000000000
χ85222222-2-2-2-2-2-22-2-22-2222-2-2222200222-2002-22-22-2-22-2-200002-22-2000000-2200000-22-22000000-22-220000000000000000000000000000000
χ86222222-2-2-2-2-2-22-2-22-2222-2-2-2-2-2-200222-2002-22-22-2-22220000-22-22000000-22000002-22-20000002-22-20000000000000000000000000000000
χ87222222-2-2-2-2-2-22-2-22-22-2-22222-2-200222-2002-22-2-222-2-2200002-2-220000002-200000-222-2000000-222-20000000000000000000000000000000
χ88222222-2-2-2-2-2-22-2-22-22-2-222-2-22200222-2002-22-2-222-22-20000-222-20000002-2000002-2-220000002-2-220000000000000000000000000000000
χ894444-4-4004-44-4-4004004-44-400000000000000000000000000000000000000000000000000000000000000000022-2-200002-22-20000000000
χ904444-4-4004-44-4-4004004-44-4000000000000000000000000000000000000000000000000000000000000000000-2-2220000-22-220000000000
χ914444-4-4004-44-4-400400-44-4400000000000000000000000000000000000000000000000000000000000000000022-2-20000-22-220000000000
χ924444-4-4004-44-4-400400-44-44000000000000000000000000000000000000000000000000000000000000000000-2-22200002-22-20000000000
χ934444-4-400-44-44-4004004-4-440000000000000000000000000000000000000000000000000000000000000000002-22-200002-2-220000000000
χ944444-4-400-44-44-4004004-4-44000000000000000000000000000000000000000000000000000000000000000000-22-220000-222-20000000000
χ954444-4-400-44-44-400400-444-40000000000000000000000000000000000000000000000000000000000000000002-22-20000-222-20000000000
χ964444-4-400-44-44-400400-444-4000000000000000000000000000000000000000000000000000000000000000000-22-2200002-2-220000000000
χ978888-8-8008-8-88800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988888-8-800-888-8800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-888-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ1008-8-888-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ1018-8-888-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000004-40000000000000000
χ1028-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000-440000000000000000
χ1038-8-88-8800000008-8000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-8800000008-800000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-880000000-88000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-880000000-8800000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1071616-16-16000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1081616-16-1600000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1616-160000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-16000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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