| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×D4×He3 | 72 | C2xD4xHe3 | 432,404 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C2.1(D4×He3) = C22⋊C4×He3 | central extension (φ=1) | 72 | C2.1(D4xHe3) | 432,204 | |
| C2.2(D4×He3) = C4⋊C4×He3 | central extension (φ=1) | 144 | C2.2(D4xHe3) | 432,207 | |
| C2.3(D4×He3) = D8×He3 | central stem extension (φ=1) | 72 | 6 | C2.3(D4xHe3) | 432,216 | 
| C2.4(D4×He3) = SD16×He3 | central stem extension (φ=1) | 72 | 6 | C2.4(D4xHe3) | 432,219 | 
| C2.5(D4×He3) = Q16×He3 | central stem extension (φ=1) | 144 | 6 | C2.5(D4xHe3) | 432,222 |