#include <iostream>
#include <string>

using namespace std;

class Peace {

public:

  char N,W,E,S;

  Peace() {
  }

  Peace(string str) {
    N = str[0];
    E = str[1];
    S = str[2];
    W = str[3];
  }
  
  void rotate() {
    char tmp = W;
    W = S;
    S = E;
    E = N;
    N = tmp;
  }
};

Peace peace[9];
int Cnt;
int checked[9];
Peace table[9];

bool check(int dep) {
  
  switch(dep) {
  case 0:
    return true;
  case 1:
  case 2:
    return (table[dep].W != table[dep-1].E
	    && toupper(table[dep].W) == toupper(table[dep-1].E));
  case 3:
  case 6:
    return (table[dep].N != table[dep-3].S
	    && toupper(table[dep].N) == toupper(table[dep-3].S));
  case 4:
  case 5:
  case 7:
  case 8:
    return ((table[dep].W != table[dep-1].E
	     && toupper(table[dep].W) == toupper(table[dep-1].E))
	    &&
            (table[dep].N != table[dep-3].S
	     && toupper(table[dep].N) == toupper(table[dep-3].S)));
  }
  
  return false;
}

void saiki(int dep) {
  
  if(dep == 9) {
    Cnt++;
  }

  else { // dep = 0 ~ 8
    for(int k = 0; k < 9; k++) {
      if(checked[k]) {
	continue;
      }
      for(int i = 0; i < 4; i++) {
	peace[k].rotate();
	table[dep] = peace[k];
	if(check(dep)) {
	  checked[k] = 1;
	  saiki(dep+1);
	  checked[k] = 0;
	}
      }
    }
  }
}


int main() {
  
  int loop;
  cin >> loop;
  
  while(loop--) {

    for(int i = 0; i < 9; i++) {
      string str;
      cin >> str;
      peace[i] = Peace(str);
    }
    Cnt = 0;
    memset(checked, 0, sizeof(checked));
    saiki(0);
    cout << Cnt << endl;

  }
}