Finite Group Databasebeta

← Group #72266047

Character table — Group #72266047

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11112222222222222222224444444444444444444444161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1011111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1211111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ1311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ1511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ171111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1111-1-111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ201111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1111-1-111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ211111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ221111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ231111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1-1-111-1-111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i
χ241111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1-1-111-1-111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii
χ251111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ261111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ271111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii
χ281111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-111-1-11111-1-1111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-111-1-11111-1-1111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111-1-111-1-111-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111-1-111-1-111-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii
χ33222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000022222-200000000-2-2-2-22-2-222-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000002222-2200000000-2-2-2-2-222-2-22-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ35222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000-2-2-2-22-20000000022222-2-222-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ36222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000-2-2-2-2-22000000002222-222-2-2222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ3722222222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-20000222200002-20000-2-2-2-20000-22-22-220000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ3822222222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2000022220000-220000-2-2-2-200002-22-22-200000000-2-222-2-222000000000000000000000000000000000000000000000000
χ3922222222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-20000-2-2-2-200002-2000022220000-22-22-2200000000-2-222-2-222000000000000000000000000000000000000000000000000
χ4022222222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-20000-2-2-2-20000-220000222200002-22-22-20000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ4122222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-20000000022-2-22200000000-2-222-2-2000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ4222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-200000000-2-2-2-2220000000022-2-2220000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ4322222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-222000000002222-2-200000000-2-222-2-20000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ4422222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-22200000000-2-222-2-20000000022-2-222000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ452222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222000000002-2-2-2-2-200000000-2-22-222000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ462222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222200000000-22-2-2-2-20000000022-22-2-20000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ472222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2000000002-2222200000000-2-22-2220000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ482222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-200000000-2222220000000022-22-2-2000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ492222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22222000022-2-20000220000-2-2220000-22-2-22-20000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ502222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22222000022-2-20000-2-20000-2-22200002-222-2200000000-2-22222-2-2000000000000000000000000000000000000000000000000
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χ522222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222220000-2-2220000-2-2000022-2-200002-222-220000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ532222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000022-2-22200000000-2-2222-2-2-2-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000022-2-2-2-200000000-2-222-22222-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ552222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2-222220000000022-2-22-2-2-2-22-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ562222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2-222-2-20000000022-2-2-22222-222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ57222222-2-2-2-2222222-2-222-2-222-2-222-2-222-2-2-2-22-22-22-2-220000000000000000000000000000000000000000000000002-22-22-22-20000000022-2-222-2-22-22-200000000000000000000
χ58222222-2-2-2-2222222-2-222-2-222-2-222-2-222-2-2-2-22-22-22-2-220000000000000000000000000000000000000000000000002-22-22-22-200000000-2-222-2-222-22-2200000000000000000000
χ59222222-2-2-2-2222222-2-222-2-222-2-222-2-222-2-2-2-22-22-22-2-22000000000000000000000000000000000000000000000000-22-22-22-220000000022-2-222-2-2-22-2200000000000000000000
χ60222222-2-2-2-2222222-2-222-2-222-2-222-2-222-2-2-2-22-22-22-2-22000000000000000000000000000000000000000000000000-22-22-22-2200000000-2-222-2-2222-22-200000000000000000000
χ61222222-2-2-2-22222-2-222-2-222-2-222-2-22222-2-2-2-2-22-222-2-220000000000000000000000000000000000000000000000002-2-222-2-2222-2-222-2-200000000000000000000000000002-22-2
χ62222222-2-2-2-22222-2-222-2-222-2-222-2-22222-2-2-2-2-22-222-2-220000000000000000000000000000000000000000000000002-2-222-2-22-2-222-2-2220000000000000000000000000000-22-22
χ63222222-2-2-2-22222-2-222-2-222-2-222-2-22222-2-2-2-2-22-222-2-22000000000000000000000000000000000000000000000000-222-2-222-222-2-222-2-20000000000000000000000000000-22-22
χ64222222-2-2-2-22222-2-222-2-222-2-222-2-22222-2-2-2-2-22-222-2-22000000000000000000000000000000000000000000000000-222-2-222-2-2-222-2-22200000000000000000000000000002-22-2
χ65222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2222-22-2-222-20000000000000000000000000000000000000000000000002-2-22-222-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i−2i−2i2i
χ66222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2222-22-2-222-20000000000000000000000000000000000000000000000002-2-22-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−2i2i2i−2i
χ67222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2222-22-2-222-2000000000000000000000000000000000000000000000000-222-22-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i2i−2i
χ68222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2222-22-2-222-2000000000000000000000000000000000000000000000000-222-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i−2i2i
χ69222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-222-2-222-22-22-222-20000000000000000000000000000000000000000000000002-22-2-22-22000000002i2i−2i−2i−2i−2i2i2i2i−2i−2i2i00000000000000000000
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χ71222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-222-2-222-22-22-222-2000000000000000000000000000000000000000000000000-22-222-22-2000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i00000000000000000000
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Here i is the imaginary unit (i² = −1).