diff --git a/x/group/simulation/genesis.go b/x/group/simulation/genesis.go
index 7f30a4fc7303..66b471fa5e47 100644
--- a/x/group/simulation/genesis.go
+++ b/x/group/simulation/genesis.go
@@ -21,6 +21,16 @@ const (
 	GroupVote       = "group-vote"
 )
 
+func checkAccExists(acc sdk.AccAddress, g []*group.GroupMember, lastIndex int) bool {
+	s := acc.String()
+	for i := 0; i < lastIndex; i++ {
+		if g[i].Member.Address == s {
+			return true
+		}
+	}
+	return false
+}
+
 func getGroups(r *rand.Rand, accounts []simtypes.Account) []*group.GroupInfo {
 	groups := make([]*group.GroupInfo, 3)
 	for i := 0; i < 3; i++ {
@@ -40,6 +50,9 @@ func getGroupMembers(r *rand.Rand, accounts []simtypes.Account) []*group.GroupMe
 	groupMembers := make([]*group.GroupMember, 3)
 	for i := 0; i < 3; i++ {
 		acc, _ := simtypes.RandomAcc(r, accounts)
+		for checkAccExists(acc.Address, groupMembers, i) {
+			acc, _ = simtypes.RandomAcc(r, accounts)
+		}
 		groupMembers[i] = &group.GroupMember{
 			GroupId: uint64(i + 1),
 			Member: &group.Member{
@@ -147,6 +160,11 @@ func getVoteOption(index int) group.VoteOption {
 
 // RandomizedGenState generates a random GenesisState for the group module.
 func RandomizedGenState(simState *module.SimulationState) {
+	// The test requires we have at least 3 accounts.
+	if len(simState.Accounts) < 3 {
+		return
+	}
+
 	// groups
 	var groups []*group.GroupInfo
 	simState.AppParams.GetOrGenerate(