Can roaches lay eggs even though theyvd never been in contact with a male

I got my roach with four other female roaches all at .5 cm, so still nymphs. My female recently produced an egg sac then dropped it

^ the pic is her with the egg sac 2 secs before dropping it and eating it

I got my roach with four other female roaches all at .5 cm, so still nymphs. My female recently produced an egg sac then dropped it

^ the pic is her with the egg sac 2 secs before dropping it and eating it