| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C22×He3⋊C2) = C2×C4×He3⋊C2 | central extension (φ=1) | 72 | | C2.1(C2^2xHe3:C2) | 432,385 |
| C2.2(C22×He3⋊C2) = C22×He3⋊3C4 | central extension (φ=1) | 144 | | C2.2(C2^2xHe3:C2) | 432,398 |
| C2.3(C22×He3⋊C2) = C2×He3⋊4Q8 | central stem extension (φ=1) | 144 | | C2.3(C2^2xHe3:C2) | 432,384 |
| C2.4(C22×He3⋊C2) = C2×He3⋊5D4 | central stem extension (φ=1) | 72 | | C2.4(C2^2xHe3:C2) | 432,386 |
| C2.5(C22×He3⋊C2) = C62.47D6 | central stem extension (φ=1) | 72 | 6 | C2.5(C2^2xHe3:C2) | 432,387 |
| C2.6(C22×He3⋊C2) = D4×He3⋊C2 | central stem extension (φ=1) | 36 | 6 | C2.6(C2^2xHe3:C2) | 432,390 |
| C2.7(C22×He3⋊C2) = C62.16D6 | central stem extension (φ=1) | 72 | 6 | C2.7(C2^2xHe3:C2) | 432,391 |
| C2.8(C22×He3⋊C2) = Q8×He3⋊C2 | central stem extension (φ=1) | 72 | 6 | C2.8(C2^2xHe3:C2) | 432,394 |
| C2.9(C22×He3⋊C2) = He3⋊5D4⋊C2 | central stem extension (φ=1) | 72 | 6 | C2.9(C2^2xHe3:C2) | 432,395 |
| C2.10(C22×He3⋊C2) = C2×He3⋊7D4 | central stem extension (φ=1) | 72 | | C2.10(C2^2xHe3:C2) | 432,399 |