Finite Group Databasebeta

← Group #72261086

Character table — Group #72261086

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size1111224444444444444444444444444444888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222222222222224444444444442222222224444444444444444444444444444444422222222444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-11111111111-1-1111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-11111111111-1-1111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−iii−i−iii−i−iii−i−iii−ii−ii
χ7111111111111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ8111111111111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ911111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111111-11-11-11-1-1-1-1-1
χ1011111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11-11-11-111111
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-11-11-1-11-11-1-111
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-11-111-11-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-11111-1-11111-1-11111111-1-1ii−i−iii−i−ii−i−iii−i−ii−ii−ii
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-11111-1-11111-1-11111111-1-1−i−iii−i−iii−iii−i−iii−ii−ii−i
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111111-1-1-1-111-1-1-1-1-1-11111-1-1-111ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111111-1-1-1-111-1-1-1-1-1-11111-1-1-111−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ171111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-111-1111-1-111-1-1-1-111-1-1-1-111-1-1111-1-111111111-11-11-11-11-1-1-1-1
χ181111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-111-1111-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-11-11-11-11-11111
χ191111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-11-1-1-111-1-11111-1-111-1-111-1-1-1-1-1111111-1-1-1-1-11-111-11-1-1-111
χ201111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-11-1-1-111-1-11111-1-111-1-111-1-1-1-1-111-1-1-1-111111-11-1-11-1111-1-1
χ211111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-11-1-11-1-111-1-11111-1-11111-1-111111-1-1ii−i−iii−i−i−iii−i−iii−i−ii−ii
χ221111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-11-1-11-1-111-1-11111-1-11111-1-111111-1-1−i−iii−i−iiii−i−iii−i−iii−ii−i
χ231111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-111-111-1-111-1-1-1-111-1-111-1-111-1-1-111ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ241111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-111-111-1-111-1-1-1-111-1-111-1-111-1-1-111−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ251111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ271111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ281111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111ii−i−iii−i−i−i−iii−i−iiii−ii−i
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−i
χ332222222222222222222-22-222-2-222220000-2220022-2-2-2-2-2-2-2-2-2-2000022-2-222-2-2-2-2000000002-22-22-22-200000000000000000002-22-22-20000000000000000000000000
χ34222222222222222222-22-2222-2-222220000-22200-2-222-2-2-2-2-2-2-2-2000022-2-222-2-2-2-200000000-22-22-22-220000000000000000000-22-22-220000000000000000000000000
χ3522222222222222-2-2-2-22-22-222-2-2-2-2-2-20000-2-2-20022-2-2-2-2-2-22222000022-2-2-2-22222000000002-22-2-22-2200000000000000000002-2-22-220000000000000000000000000
χ3622222222222222-2-2-2-2-22-2222-2-2-2-2-2-20000-2-2-200-2-222-2-2-2-22222000022-2-2-2-2222200000000-22-222-22-20000000000000000000-222-22-20000000000000000000000000
χ372222222222-2-2-2-222222-22-222-2-2-2-2-2-20000-2-2-20022-2-2-2-222-2-2220000-2-22222-2-222000000002-2-222-2-220000000000000000000-222-2-220000000000000000000000000
χ382222222222-2-2-2-22222-22-2222-2-2-2-2-2-20000-2-2-200-2-222-2-222-2-2220000-2-22222-2-22200000000-222-2-222-200000000000000000002-2-222-20000000000000000000000000
χ392222222222-2-2-2-2-2-2-2-22-22-222-2-222220000-2220022-2-2-2-22222-2-20000-2-222-2-222-2-2000000002-2-22-222-20000000000000000000-22-222-20000000000000000000000000
χ402222222222-2-2-2-2-2-2-2-2-22-2222-2-222220000-22200-2-222-2-22222-2-20000-2-222-2-222-2-200000000-222-22-2-2200000000000000000002-22-2-220000000000000000000000000
χ4122222222-2-2000022222222-2-22200002222-200002-22-22-200220000220000-2-2-2-20000002222-2-20022000-2-20-22-200220000-2-20000-2-2002-2-20000000000000000000000
χ4222222222-2-2000022222222-2-2220000-2-2-2-2-200002-22-22-200220000-2-20000-2-2-2-2000000-2-2-2-2-2-200220002202-2200-2-20000220000-2-200-2220000000000000000000000
χ4322222222-2-2000022222-22-2-2-2-2-200000000200222-2-22-2200-2-200-2-2000000-2-2220022-2-20000-22002-200200-20002-2002-22-2002-200-22000002-200000000000000000000
χ4422222222-2-2000022222-22-2-2-2-2-200000000200-2-22-2-22-2200-2-20022000000-2-22200-2-2220000-22002-200-2002000-2200-22-2200-2200-2200000-2200000000000000000000
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χ4722222222-2-200002222-2-2-2-2-2-22200002222-20000-22-222-200220000-2-20000-2-2-2-200000022222200-2-2000-220-2-2200-2-2000022000022002-2-20000000000000000000000
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χ4922222222-2-20000-2-2-2-22222-2-22200002222-200002-22-22-200-2-200002200002222000000-2-2-2-2-2-200-2-20002-2022-200-2-2000022000022002-2-20000000000000000000000
χ5022222222-2-20000-2-2-2-22222-2-2220000-2-2-2-2-200002-22-22-200-2-20000-2-2000022220000002222-2-200-2-2000-220-2-2200220000-2-200002200-2220000000000000000000000
χ5122222222-2-20000-2-2-2-22-22-2-2-2-2-200000000200222-2-22-22002200-2-200000022-2-200-2-2220000-2200-2200-2002000-22002-2-22002-2002-2000002-200000000000000000000
χ5222222222-2-20000-2-2-2-22-22-2-2-2-2-200000000200-2-22-2-22-220022002200000022-2-20022-2-20000-2200-2200200-20002-200-222-200-22002-200000-2200000000000000000000
χ5322222222-2-20000-2-2-2-2-22-22-2-2-2-20000000020022-222-2-22002200-2-200000022-2-200-2-22200002-2002-200-20020002-200-222-200-2200-22000002-200000000000000000000
χ5422222222-2-20000-2-2-2-2-22-22-2-2-2-200000000200-2-2-222-2-220022002200000022-2-20022-2-200002-2002-200200-2000-22002-2-22002-200-2200000-2200000000000000000000
χ5522222222-2-20000-2-2-2-2-2-2-2-2-2-22200002222-20000-22-222-200-2-20000-2-200002222000000-2-2-2-22200220002202-2200220000-2-20000-2-2002-2-20000000000000000000000
χ5622222222-2-20000-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-20000-22-222-200-2-2000022000022220000002222220022000-2-20-22-200-2-20000220000-2-200-2220000000000000000000000
χ57222222-2-222222200002222-2-22200002222-20000-22-22-222200000022-2-2-2-200000022220000-2-2220000-20-2-20-22220000-2-20000-2-20000-22-20000000000000000000000
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χ59222222-2-222222200002-22-2-2-2-2-20000000020022-222-22-2-2-20000-2-200-2-222000000000022-2-2-222-200000200-200002-2-22002-22-2-220000000-2200000000000000000000
χ60222222-2-222222200002-22-2-2-2-2-200000000200-2-2-222-22-2-2-200002200-2-2220000000000-2-222-222-200000-20020000-222-200-22-22-2200000002-200000000000000000000
χ61222222-2-22222220000-22-22-2-2-2-200000000200222-2-222-2-2-20000-2-200-2-222000000000022-2-22-2-2200000200-20000-222-200-22-222-20000000-2200000000000000000000
χ62222222-2-22222220000-22-22-2-2-2-200000000200-2-22-2-222-2-2-200002200-2-2220000000000-2-2222-2-2200000-200200002-2-22002-22-22-200000002-200000000000000000000
χ63222222-2-22222220000-2-2-2-2-2-22200002222-200002-22-2-2222000000-2-2-2-2-2-20000002222000022-2-20000-202-202-2-2-20000220000220000-22-20000000000000000000000
χ64222222-2-22222220000-2-2-2-2-2-2220000-2-2-2-2-200002-22-2-222200000022-2-2-2-2000000-2-2-2-2000022-2-2000020-220-22220000-2-200002200002-220000000000000000000000
χ65222222-2-222-2-2-2-200002222-2-22200002222-20000-22-22-22-2-2000000222222000000-2-2-2-20000-2-2-2-2000020-220-22-2-20000220000220000-22-20000000000000000000000
χ66222222-2-222-2-2-2-200002222-2-2220000-2-2-2-2-20000-22-22-22-2-2000000-2-2222200000022220000-2-2-2-20000-202-202-2220000-2-200002200002-220000000000000000000000
χ67222222-2-222-2-2-2-200002-22-2-2-2-2-20000000020022-222-22-2220000-2-20022-2-20000000000-2-222-22-2200000-20020000-22-2200-222-22-20000000-2200000000000000000000
χ68222222-2-222-2-2-2-200002-22-2-2-2-2-200000000200-2-2-222-22-2220000220022-2-2000000000022-2-2-22-2200000200-200002-22-2002-2-222-200000002-200000000000000000000
χ69222222-2-222-2-2-2-20000-22-22-2-2-2-200000000200222-2-222-2220000-2-20022-2-20000000000-2-2222-22-200000-200200002-22-2002-2-22-220000000-2200000000000000000000
χ70222222-2-222-2-2-2-20000-22-22-2-2-2-200000000200-2-22-2-222-2220000220022-2-2000000000022-2-22-22-200000200-20000-22-2200-222-2-2200000002-200000000000000000000
χ71222222-2-222-2-2-2-20000-2-2-2-2-2-22200002222-200002-22-2-22-2-2000000-2-22222000000-2-2-2-2000022220000202202-2220000-2-20000-2-20000-22-20000000000000000000000
χ72222222-2-222-2-2-2-20000-2-2-2-2-2-2220000-2-2-2-2-200002-22-2-22-2-20000002222220000002222000022220000-20-2-20-22-2-20000220000-2-200002-220000000000000000000000
χ73222222-2-2-2-20000000022222222222222222-2-222-2-2-2-2-2-20000-2-22222000000002200000000220000-2-200200-2-20000-2-2000022000022-2-22-2-200000000000000000000
χ74222222-2-2-2-200000000222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2000000002200000000220000-2-200-200220000220000-2-200002222-22200000000000000000000
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χ76222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-200002222-2-200000000-2-2000000002200002200-200220000-2-20000220000-2-222-2-2-200000000000000000000
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Here i is the imaginary unit (i² = −1).