| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×He3⋊C2) = C62.16D6 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C22 | 72 | 6 | C2^2.1(C2xHe3:C2) | 432,391 |
| C22.2(C2×He3⋊C2) = C62.47D6 | φ: C2×He3⋊C2/C2×He3 → C2 ⊆ Aut C22 | 72 | 6 | C2^2.2(C2xHe3:C2) | 432,387 |
| C22.3(C2×He3⋊C2) = C4×He3⋊3C4 | central extension (φ=1) | 144 | | C2^2.3(C2xHe3:C2) | 432,186 |
| C22.4(C2×He3⋊C2) = C62.29D6 | central extension (φ=1) | 144 | | C2^2.4(C2xHe3:C2) | 432,187 |
| C22.5(C2×He3⋊C2) = C62.30D6 | central extension (φ=1) | 144 | | C2^2.5(C2xHe3:C2) | 432,188 |
| C22.6(C2×He3⋊C2) = C62.31D6 | central extension (φ=1) | 72 | | C2^2.6(C2xHe3:C2) | 432,189 |
| C22.7(C2×He3⋊C2) = C62⋊4Dic3 | central extension (φ=1) | 72 | | C2^2.7(C2xHe3:C2) | 432,199 |
| C22.8(C2×He3⋊C2) = C2×He3⋊4Q8 | central extension (φ=1) | 144 | | C2^2.8(C2xHe3:C2) | 432,384 |
| C22.9(C2×He3⋊C2) = C2×C4×He3⋊C2 | central extension (φ=1) | 72 | | C2^2.9(C2xHe3:C2) | 432,385 |
| C22.10(C2×He3⋊C2) = C2×He3⋊5D4 | central extension (φ=1) | 72 | | C2^2.10(C2xHe3:C2) | 432,386 |
| C22.11(C2×He3⋊C2) = C22×He3⋊3C4 | central extension (φ=1) | 144 | | C2^2.11(C2xHe3:C2) | 432,398 |