Finite Group Databasebeta

← Group #13176517

Character table — Group #13176517

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
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order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212121212121212121212121212121212124444121212122244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ9111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-111-1-1-1-1111-11-1
χ10111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-11111-1-1-11-11
χ11111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-1-11
χ12111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-111-1
χ13111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-111-1
χ14111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-1111-1-11
χ15111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-1-1-111-11-11
χ16111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-11111-1-11-11-1
χ1722222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ1822222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ1922222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000022-2-2-1-1-1-100001100
χ2022222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000-2-22211110000-1-100
χ2122222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-2-2-2-2-1111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000002-22-2-1-1110000-1100
χ2222222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-2-2-2-2-1111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000-22-2211-1-100001-100
χ2322222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-222221-11111111111111111-1-1-1-1-1-1-1-100000000000000000000000000002-2-22-1-11100001-100
χ2422222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-222221-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000-222-211-1-10000-1100
χ2522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ2622222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ2722222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2111-2111-2-222-1-1-1-1-1-1-2-2111111-2-211111122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ2822222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2111-2111-2-222-1-1-1-1-1-1-2-2111111-2-2111111-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ2922222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2111111-2-22-1-1-1-21112-2-2-211111122-1-1-1-1-1-1-2-21111112-22-2-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000000
χ3022222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2111111-2-22-1-1-1-21112-2-2-211111122-1-1-1-1-1-1-2-2111111-22-2222-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000000
χ3122222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2111111-2-2-21112-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-12-2-2222-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000000
χ3222222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2111111-2-2-21112-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-1-222-2-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000000
χ332222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ342222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ352222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1221-2111-211-2-2-1-122-1-1-1-111-2-2111111-2-2111122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ362222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1221-2111-211-2-2-1-122-1-1-1-111-2-2111111-2-21111-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ372222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-111-2-21111-2-2-12-1-11-2112-211-2-21111-1-122-1-1-1-111-2-211112-22-211-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000000
χ382222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-111-2-21111-2-2-12-1-11-2112-211-2-21111-1-122-1-1-1-111-2-21111-22-22-1-122-1-1-1-111-2-211111-211-12-1-10000000000000000
χ392222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-111-2-21111-2-21-211-12-1-1-2211-2-2111111-2-21111-1-122-1-1-1-12-2-22-1-122-1-1-1-111-2-21111-12-1-11-2110000000000000000
χ402222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-111-2-21111-2-21-211-12-1-1-2211-2-2111111-2-21111-1-122-1-1-1-1-222-211-2-21111-1-122-1-1-1-11-211-12-1-10000000000000000
χ412222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ422222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ432222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12211-2111-21-2-2-1-1-1-122-1-11111-2-2111111-2-21122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ442222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12211-2111-21-2-2-1-1-1-122-1-11111-2-2111111-2-211-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ452222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-11111-2-211-2-2-1-12-111-212-21111-2-211-1-1-1-122-1-11111-2-2112-22-21111-2-211-1-1-1-122-1-1-1-12-111-210000000000000000
χ462222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-11111-2-211-2-2-1-12-111-212-21111-2-211-1-1-1-122-1-11111-2-211-22-22-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000000
χ472222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-11111-2-211-2-211-21-1-12-1-221111-2-2111111-2-211-1-1-1-122-1-12-2-22-1-1-1-122-1-11111-2-211-1-12-111-210000000000000000
χ482222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-11111-2-211-2-211-21-1-12-1-221111-2-2111111-2-211-1-1-1-122-1-1-222-21111-2-211-1-1-1-122-1-111-21-1-12-10000000000000000
χ492222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ502222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ512222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222111-2111-2-2-2-1-1-1-1-1-122111111-2-2111111-2-222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222111-2111-2-2-2-1-1-1-1-1-122111111-2-2111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ532222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12111111-2-2-2-2-1-1-12111-22-2111111-2-2-1-1-1-1-1-122111111-2-22-22-2111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000000
χ542222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12111111-2-2-2-2-1-1-12111-22-2111111-2-2-1-1-1-1-1-122111111-2-2-22-22-1-1-1-1-1-122111111-2-2111-2-1-1-120000000000000000
χ552222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12111111-2-2-2-2111-2-1-1-12-22111111-2-2111111-2-2-1-1-1-1-1-1222-2-22-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000000
χ562222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12111111-2-2-2-2111-2-1-1-12-22111111-2-2111111-2-2-1-1-1-1-1-122-222-2111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000000
χ572-22-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-22-22-22-22-22-200000000002-22-22-22-200000000000000000000000000000000000000000000000000002-22-20000
χ582-22-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-22-22-22-22-22-200000000002-22-22-22-20000000000000000000000000000000000000000000000000000-22-220000
χ592-22-222222-2222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-22-22-22-22-220000000000-22-22-22-2200000000000000000000000000000000000000000000000000002-2-220000
χ602-22-222222-2222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-22-22-22-22-220000000000-22-22-22-220000000000000000000000000000000000000000000000000000-222-20000
χ6144444-2-2-2-2444-2-2-2-24-2-2-24-2-2-2-2-2-211144-2111-2111-211144-2-2-2-2-2-2-2-24-2-2-24-2-2-2-2-2-2-2111111-2-2111111-2-211111100000000000000000000000000000000000000000000
χ6244444-2-2-2-2444-2-2-2-24-2-2-24-2-2-2-2-2-2111-4-4-2111-2111-211144-2-2-2-2-2-2-2-2-4222-422222-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000000000000000000000000
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χ974-44-4-24-2-24-44-24-2-242-4222-422-4-4-24-2-2002-422-24-2-22-4222-2-442-22-2-4400000000002-2-442-22-2000000000000000000000000000000000000000000000000000000000000
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χ1084-44-4-2-2-2444-4-2-2-244222-4222-4-4-4-2-2-2400222-4-2-2-24222-4-22-22-224-44-40000000000-22-22-224-4000000000000000000000000000000000000000000000000000000000000
χ1094-44-4-2-2-244-44-2-2-244222-4222-4-4-4-2-2-2400222-4-2-2-24222-42-22-22-2-44-4400000000002-22-22-2-44000000000000000000000000000000000000000000000000000000000000
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χ12588-8-88-4-4-4-400-84444-84448-4-4-4-44-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12788-8-8-4-48-4-40044-84444-84-4-48-4-4422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-48-400444-84444-8-4-4-48-44222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-4-4-48-400444-84-4-4-48444-84-4222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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