Finite Group Databasebeta

← Group #10826108

Character table — Group #10826108

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
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χ1111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333330000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−30000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-222-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-222-2-2222222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ372222-2-2-2-22222-2-2-2-2222-2-222-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-20000000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ382222-2-2-2-22222-2-2-2-2222-2-222-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-22200000000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ392222-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000022-2-222-2-200000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ402222-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-222-2-222000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-2-122-2-222-2-2-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000022-2-222-2-233−3−333−3−333−3−333−3−333−3−3−3−33333−3−3−3−333-1-111-1-111-1-111-1-1110000000000000000
χ422222-2-2-2-22222-2-2-2-2-122-2-222-2-2-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000022-2-222-2-2−3−333−3−333−3−333−3−333−3−33333−3−3−3−33333−3−3-1-111-1-111-1-111-1-1110000000000000000
χ432222-2-2-2-22222-2-2-2-2-122-2-222-2-2-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000-2-222-2-22233−3−333−3−333−3−333−3−3−3−33333−3−3−3−33333−3−311-1-111-1-111-1-111-1-10000000000000000
χ442222-2-2-2-22222-2-2-2-2-122-2-222-2-2-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000-2-222-2-222−3−333−3−333−3−333−3−33333−3−3−3−33333−3−3−3−33311-1-111-1-111-1-111-1-10000000000000000
χ452222-2-2-2-22222-2-2-2-2-1-2-222-2-222-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-10000000022-2-222-2-20000000033−3−3−3−33333−3−3−3−333-1-111-1-111-1-111-1-111−3−33333−3−3−3−33333−3−30000000000000000
χ462222-2-2-2-22222-2-2-2-2-1-2-222-2-222-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-10000000022-2-222-2-200000000−3−33333−3−3−3−33333−3−3-1-111-1-111-1-111-1-11133−3−3−3−33333−3−3−3−3330000000000000000
χ472222-2-2-2-22222-2-2-2-2-1-2-222-2-222-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000-2-222-2-2220000000033−3−3−3−33333−3−3−3−33311-1-111-1-111-1-111-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ482222-2-2-2-22222-2-2-2-2-1-2-222-2-222-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000-2-222-2-22200000000−3−33333−3−3−3−33333−3−311-1-111-1-111-1-111-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ492222-2-2-2-2-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ502222-2-2-2-2-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000-2-22222-2-2000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000022-2-2-2-2220000000000000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ522222-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000-2-22222-2-200000000000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ532222-2-2-2-2-2-2-2-22222-122-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000022-2-2-2-2220000000033−3−3−3−333−3−33333−3−3-1-111-1-11111-1-111-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ542222-2-2-2-2-2-2-2-22222-122-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000022-2-2-2-22200000000−3−33333−3−333−3−3−3−333-1-111-1-11111-1-111-1-133−3−3−3−333−3−33333−3−30000000000000000
χ552222-2-2-2-2-2-2-2-22222-122-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-2-22222-2-20000000033−3−3−3−333−3−33333−3−311-1-111-1-1-1-111-1-11133−3−3−3−333−3−33333−3−30000000000000000
χ562222-2-2-2-2-2-2-2-22222-122-2-2-2-222-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-2-22222-2-200000000−3−33333−3−333−3−3−3−33311-1-111-1-1-1-111-1-111−3−33333−3−333−3−3−3−3330000000000000000
χ572222-2-2-2-2-2-2-2-22222-1-2-22222-2-2-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000022-2-2-2-22233−3−333−3−3−3−333−3−33333−3−3−3−333−3−33333−3−3-1-111-1-11111-1-111-1-10000000000000000
χ582222-2-2-2-2-2-2-2-22222-1-2-22222-2-2-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000022-2-2-2-222−3−333−3−33333−3−333−3−3−3−33333−3−333−3−3−3−333-1-111-1-11111-1-111-1-10000000000000000
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χ602222-2-2-2-2-2-2-2-22222-1-2-22222-2-2-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000-2-22222-2-2−3−333−3−33333−3−333−3−333−3−3−3−333−3−33333−3−311-1-111-1-1-1-111-1-1110000000000000000
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χ1304-44-4-444-44i−4i4i−4i−4i4i−4i4i-2−4i4i4i−4i-444-42-222-22-2−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i2-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-444-4−4i4i−4i4i4i−4i4i−4i-24i−4i−4i4i-444-42-222-22-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-444-4−4i4i−4i4i4i−4i4i−4i-2−4i4i4i−4i4-4-442-222-22-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4444-4-44-4-444-4-44400000000-4-444-4-444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4444-4-44-4-444-4-44-20000000022-2-222-2-222-2-222-223−23−232323−23−2323−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4444-4-44-4-444-4-44-20000000022-2-222-2-222-2-222-2−232323−23−232323−2323−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4444-4-4-444-4-444-4400000000-4-444-4-44-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4444-4-4-444-4-444-4-20000000022-2-222-22-2-222-2-2223−23−232323−23−232323−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4444-4-4-444-4-444-4-20000000022-2-222-22-2-222-2-22−232323−23−232323−23−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-4-4444-4-44-444-4400000000-4-44-444-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-44-4-4444-4-44-444-4-20000000022-22-2-22-222-22-2-2223−23−2323−232323−23−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-44-4-4444-4-44-444-4-20000000022-22-2-22-222-22-2-22−232323−2323−23−232323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-4-444-444-44-4-44400000000-4-44-444-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-4-444-444-44-4-44-20000000022-22-2-222-2-22-222-223−23−2323−232323−2323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-4-444-444-44-4-44-20000000022-22-2-222-2-22-222-2−232323−2323−23−2323−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.