| No. | Group description (1) | Matrix # Size (2) | Grids (3) | Covering sets of grids (4) | Sets of covering automata non-equivalent to original one (5) |
| 1 | W (1) | 8 × 10 | 14 | 260 (7, 1) | 16 (7), 16 (8), 16 (8), 4 (9), 4 (9), 4 (9), 4 (10), 4 (10) |
| 2 | W-1 (25) | 8 × 8 | 12 | 65 (7, 1) | 1(9), 2(9), 2(9) |
| 3 | W-2 (2) | 10 × 9 | 13 | 60 (8, 2) | 2(9), 2(10) |
| 4 | W-2-2 (4) | 10 × 9 | 12 | 18 (9, 4) | 2(9) |
| 5 | W-7 (2) | 8 × 10 | 13 | 80 (8, 3) | 12(8), 4(9), 4(9) |
| 6 | W-ace (26) | 8 × 10 | 14 | 260 (7, 1) | 1(9), 4(9), 4(9), 1(10), 1(10), 4(10), 4(10), 1(11) |
| 7 | W-ace-4 (164) | 9 ×10 | 15 | 400 (8, 3) | 5(9), 20(9), 5(10), 5(10), 5(11) |
| 8 | W-ace-4-5 (244) | 9 × 10 | 15 | 325 (8, 1) | 13(9), 13(10), 13(10) |
| 9 | W-gik (24) | 8 × 10 | 14 | 260 (7, 1) | 16(7), 16(8), 16(8) |
| 10 | W-2-adh (88) | 10 × 10 | 14 | 100 (8, 1) | 2(10), 2(11) |
| 11 | W-2-adh-2 (256) | 11 × 10 | 15 | 150 (9, 2) | 10(10) |
| 12 | W-2-dhk (32) | 10 × 10 | 14 | 120 (8, 2) | 4(9), 4(10) |