Finite Group Databasebeta

← Group #13175895

Character table — Group #13175895

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order12222233333666666666666666333344666666666666666666666666666666121212121212121212121212121212121212121212121212121244441212121212121212121212121212121212121212121212124444121212124444121244
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
χ5111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ7111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-1-11
χ101111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-111-1
χ111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-111-1-1-1-1111-11-1
χ121111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-1-11111-1-1-11-11
χ131111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-11111-1-11-11-1
χ141111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111-1-1-1-111-11-11
χ151111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1111-1-11
χ161111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-111-1
χ172222222222-12222-122222222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ182222222222-12222-122222222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ192222222222-12222-122222222-1-1-1-1-1-1-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-211111111111111111000000000000000000000000000022-2-211110000-1-100
χ202222222222-12222-122222222-1-1-1-1-1-1-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2111111111111111110000000000000000000000000000-2-222-1-1-1-100001100
χ212222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ222222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ232222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1-2-222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2-2111-2-2-2111111-2-211111122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ242222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1-2-222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2-2111-2-2-2111111-2-2111111-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ25222222-12-1-12-12-1-12-12-1-1-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ26222222-12-1-12-12-1-12-12-1-1-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ27222222-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-2-2-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-211-21-211-211-2-2111111-2-2111122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ28222222-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-2-2-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-211-21-211-211-2-2111111-2-21111-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ29222222-1-12-12-1-12-12-1-12-1-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ30222222-1-12-12-1-12-12-1-12-1-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ31222222-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-21-211-21-21111-2-2111111-2-21122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ32222222-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-21-211-21-21111-2-2111111-2-211-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ33222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ34222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ35222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2-2111-2-2111111-2-2111111-2-222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ36222222-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2-2111-2-2111111-2-2111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ372222-2-22222-12222-122222222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1111111112222-1-2-2-2-21-1-1-1-1-1-1-1-11111111100000000000000000000000000002-22-2-1-1110000-1100
χ382222-2-22222-12222-122222222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1111111112222-1-2-2-2-21-1-1-1-1-1-1-1-1111111110000000000000000000000000000-22-2211-1-100001-100
χ392222-2-22222-12222-122222222-1-1-1-1-1-1-22-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-212222-111111111-1-1-1-1-1-1-1-100000000000000000000000000002-2-2211-1-10000-1100
χ402222-2-22222-12222-122222222-1-1-1-1-1-1-22-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-212222-111111111-1-1-1-1-1-1-1-10000000000000000000000000000-222-2-1-11100001-100
χ412222-2-22-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-2111111-2-22-1-1-122-1-1-1-1-1-1-2-21111112-1-1-12-2111-222-1-1-1-1-1-1-2-21111112-22-222-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000000
χ422222-2-22-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-2111111-2-22-1-1-122-1-1-1-1-1-1-2-21111112-1-1-12-2111-222-1-1-1-1-1-1-2-2111111-22-22-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000000
χ432222-2-22-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1-22-2-2111111-2-22-1-1-122-1-1-1-1-1-1-2-2111111-2111-22-1-1-12-2-211111122-1-1-1-1-1-12-2-22-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000000
χ442222-2-22-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1-22-2-2111111-2-22-1-1-122-1-1-1-1-1-1-2-2111111-2111-22-1-1-12-2-211111122-1-1-1-1-1-1-222-222-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000000
χ452222-2-2-12-1-12-12-1-12-12-1-1-12-1-122-12-1-12-211-2-21111-2-2-12-1-1-1-122-1-1-1-111-2-21111-12-1-121-211-2-1-122-1-1-1-111-2-211112-22-2-1-122-1-1-1-111-2-21111-12-1-11-2110000000000000000
χ462222-2-2-12-1-12-12-1-12-12-1-1-12-1-122-12-1-12-211-2-21111-2-2-12-1-1-1-122-1-1-1-111-2-21111-12-1-121-211-2-1-122-1-1-1-111-2-21111-22-2211-2-21111-1-122-1-1-1-11-211-12-1-10000000000000000
χ472222-2-2-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-2211-2-21111-2-2-12-1-1-1-122-1-1-1-111-2-211111-211-2-12-1-1211-2-21111-1-122-1-1-1-12-2-2211-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000000
χ482222-2-2-12-1-12-12-1-12-12-1-1-12-1-122-12-1-1-2211-2-21111-2-2-12-1-1-1-122-1-1-1-111-2-211111-211-2-12-1-1211-2-21111-1-122-1-1-1-1-222-2-1-122-1-1-1-111-2-211111-211-12-1-10000000000000000
χ492222-2-2-1-12-12-1-12-12-1-12-1-1-12-122-1-12-12-21111-2-211-2-2-1-12-1-1-1-1-122-1-11111-2-211-1-12-1211-21-2-1-1-1-122-1-11111-2-2112-22-2-1-1-1-122-1-11111-2-211-1-12-111-210000000000000000
χ502222-2-2-1-12-12-1-12-12-1-12-1-1-12-122-1-12-12-21111-2-211-2-2-1-12-1-1-1-1-122-1-11111-2-211-1-12-1211-21-2-1-1-1-122-1-11111-2-211-22-221111-2-211-1-1-1-122-1-111-21-1-12-10000000000000000
χ512222-2-2-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-221111-2-211-2-2-1-12-1-1-1-1-122-1-11111-2-21111-21-2-1-12-121111-2-211-1-1-1-122-1-12-2-221111-2-211-1-1-1-122-1-1-1-12-111-210000000000000000
χ522222-2-2-1-12-12-1-12-12-1-12-1-1-12-122-1-12-1-221111-2-211-2-2-1-12-1-1-1-1-122-1-11111-2-21111-21-2-1-12-121111-2-211-1-1-1-122-1-1-222-2-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000000
χ532222-2-2-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-122-2111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-122111-2-2-1-1-1-1-1-122111111-2-22-22-2-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000000
χ542222-2-2-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-122-2111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-122111-2-2-1-1-1-1-1-122111111-2-2-22-22111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000000
χ552222-2-2-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-22111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111-2-2111-2-2-1-1-122111111-2-2-1-1-1-1-1-1222-2-22111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000000
χ562222-2-2-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-12-22111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111-2-2111-2-2-1-1-122111111-2-2-1-1-1-1-1-122-222-2-1-1-1-1-1-122111111-2-2111-2-1-1-120000000000000000
χ572-22-22-22222222222-2-2-2-2-2-2-2-2-2-22222002-22-22-22-22-22222-2-2-2-2-2-2-2-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000002-22-20000
χ582-22-22-22222222222-2-2-2-2-2-2-2-2-2-22222002-22-22-22-22-22222-2-2-2-2-2-2-2-22-22-22-22-200000000000000000000000000000000000000000000000000000000000000-22-220000
χ592-22-2-222222222222-2-2-2-2-2-2-2-2-2-2222200-22-22-22-22-222222-2-2-2-2-2-2-2-2-22-22-22-22000000000000000000000000000000000000000000000000000000000000002-2-220000
χ602-22-2-222222222222-2-2-2-2-2-2-2-2-2-2222200-22-22-22-22-222222-2-2-2-2-2-2-2-2-22-22-22-2200000000000000000000000000000000000000000000000000000000000000-222-20000
χ614444444-2-2-2-24-2-2-2-24-2-2-24-2-2-2-2-2-21114444-2-2-2-2-2-2-2-2-2111-2-2111111-2-21111114-2-2-2-24-2-2-2-2-2-2111111-2-211111100000000000000000000000000000000000000000000
χ624444444-2-2-2-24-2-2-2-24-2-2-24-2-2-2-2-2-2111-4-444-2-2-2-2-2-2-2-2-2111-2-2111111-2-2111111-42222-4222222-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000000000000000000000000
χ63444444-24-2-2-2-24-2-2-2-24-2-2-24-2-2-2-21-21144-2-244-2-2-2-2-2-21-21111-2-2111111-2-21111-24-2-2-2-24-2-2-211-2-2111111-2-2111100000000000000000000000000000000000000000000
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χ884-44-44-44444-24444-2-4-4-4-4-4-4-4-422-2-2-2-2004-44-44-44-4-22-2-2-2-222222222-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
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χ924-44-44-4-24-2-24-24-2-242-4222-422-4-4-24-2-200-224-4-22-224-4-24-2-222-4-42222-224-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
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χ954-44-44-4-2-24-24-2-24-2422-4222-42-4-4-2-24-200-22-224-4-224-4-2-24-22222-4-422-22-224-4-220000000000000000000000000000000000000000000000000000000000000000000000
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χ984-44-44-4-2-2-244-2-2-244222-4222-4-4-4-2-2-2400-22-22-224-44-4-2-2-24222222-4-4-22-22-224-40000000000000000000000000000000000000000000000000000000000000000000000
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χ1014-44-4-444444-24444-2-4-4-4-4-4-4-4-422-2-2-2-200-44-44-44-442-2-2-2-2-2222222222-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
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χ1054-44-4-44-24-2-24-24-2-242-4222-422-4-4-24-2-2002-2-442-22-2-44-24-2-222-4-422222-2-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-4-44-24-2-2-2-24-2-2-22-4222-422221-211002-2-442-22-22-21-211-1-122-1-1-1-1-112-2-11-1100000000003i−3i003i−3i−3i3i−3i3i00−3i3i3i−3i00000000000000000000000000000000000000000000
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χ1084-44-4-44-2-24-24-2-24-2422-4222-42-4-4-2-24-2002-22-2-442-2-44-2-24-22222-4-4222-22-2-442-20000000000000000000000000000000000000000000000000000000000000000000000
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χ1114-44-4-44-2-2-244-2-2-244222-4222-4-4-4-2-2-24002-22-22-2-44-44-2-2-24222222-4-42-22-22-2-440000000000000000000000000000000000000000000000000000000000000000000000
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χ12588-8-8008-4-4-4-4-844448-4-4-4-8444-44-42220000000000004-2-2-2-442-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-800-48-4-4-44-8444-48-4-44-844-442-422000000000000-24-2-22-2-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-800-4-48-4-444-844-4-48-444-84-4422-42000000000000-2-24-22-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-800-4-4-48-4444-84-4-4-48444-8-44222-4000000000000-2-2-242-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88008-4-4-4-4-84444-84448-4-4-44-4-42220000000000004-2-2-24-4-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-8800-48-4-4-44-84444-844-48-4-44-42-422000000000000-24-2-2-224-4-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-8800-4-48-4-444-84444-84-4-48-44-422-42000000000000-2-24-2-22-224-4-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8800-4-4-48-4444-84444-8-4-4-484-4222-4000000000000-2-2-24-22-22-224-4000000000000000000000000000000000000000000000000000000000000000000000000000000

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