| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C34 | 272 | C2^3xC34 | 272,54 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C2×C34) = D4×C34 | φ: C2×C34/C34 → C2 ⊆ Aut C22 | 136 | C2^2:(C2xC34) | 272,47 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C2×C34) = C4○D4×C17 | φ: C2×C34/C34 → C2 ⊆ Aut C22 | 136 | 2 | C2^2.(C2xC34) | 272,49 |
| C22.2(C2×C34) = C22⋊C4×C17 | central extension (φ=1) | 136 | C2^2.2(C2xC34) | 272,21 | |
| C22.3(C2×C34) = C4⋊C4×C17 | central extension (φ=1) | 272 | C2^2.3(C2xC34) | 272,22 | |
| C22.4(C2×C34) = Q8×C34 | central extension (φ=1) | 272 | C2^2.4(C2xC34) | 272,48 |