A straight from a ten to an ace and all five cards of the same suit.
Five cards of the same suit in sequence. Ranked by the high card.
Four-of-a-Kind
Four cards of the same rank accompanied by a kicker. Ranked by the quads, so that 44442 beats 3333K.
Three cards of one rank accompanied by two of another. Ranked by the trips, so that 44422 beats 333AA.
Five cards of the same suit. Ranked by the high card, and then by the next card, so that AJ942 beats AJ876. Suits are not used to break ties.
Straight
Five cards in sequence, such as 76543. The ace plays either high or low, making AKQJT and 5432A. “Around the corner” straights like 32AKQ are usually not allowed.
Three-of-a-Kind
Three cards of the same rank and two kickers of different ranks. Ranked by the trips, so that KKK84 beats QQQAK, but QQQAK beats QQQA7.
Two cards of one rank, two cards of another rank and a kicker of a third rank. Ranked by the high pair, then the bottom pair and finally the kicker, so that KK449 beats any of QQJJA, KK22Q, and KK445.
One Pair
Two cards of one rank accompanied by three kickers of different ranks. Ranked by the pair, followed by each kicker in turn, so that AAK53 beats AAK52.
Any hand that does not qualify as one of the better hands above. Ranked by the high card, then the second card and so on, as for flushes. Suits are not used to break ties.