#include <iostream>
#include <string>
#include <cstring>
#include <cstdlib>

using namespace std;

int ans;
string input[9];
string state[9];
bool used[9];

void Rotate(string& str) {
  char c = str[0];
  for(int i = 0; i < 3; ++i)
    str[i] = str[i+1];
  str[3] = c;
}

bool Check(int k) {
  bool r = true;
  int x = k % 3, y = k / 3;
  if(x > 0) {
    r = r && abs(state[k][0] - state[k-1][2]) == 'a' - 'A';
  }
  if(y > 0) {
    r = r && abs(state[k][1] - state[k-3][3]) == 'a' - 'A';
  }
  return r;
}

void Run(int k) {
  if(k == 9) {
    ++ans;
    return;
  }
  for(int i = 0; i < 9; ++i) if(!used[i]) {
    used[i] = true;
    state[k] = input[i];
    for(int j = 0; j < 4; ++j) {
      if(Check(k))
	Run(k+1);
      Rotate(state[k]);
    }
    used[i] = false;
  }
}

int main() {
  int nnn;
  cin >> nnn;
  for(int iii = 0; iii < nnn; ++iii) {
    ans = 0;
    memset(used, 0, sizeof(used));
    for(int i = 0; i < 9; ++i)
      cin >> input[i];
    Run(0);
    cout << ans << endl;
  }
}