| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C4⋊C4×C33 | 432 | C4:C4xC3^3 | 432,514 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C32×C4⋊C4) = C32×Dic3⋊C4 | φ: C32×C4⋊C4/C6×C12 → C2 ⊆ Aut C3 | 144 | C3:1(C3^2xC4:C4) | 432,472 | |
| C3⋊2(C32×C4⋊C4) = C32×C4⋊Dic3 | φ: C32×C4⋊C4/C6×C12 → C2 ⊆ Aut C3 | 144 | C3:2(C3^2xC4:C4) | 432,473 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C32×C4⋊C4) = C4⋊C4×C3×C9 | central extension (φ=1) | 432 | C3.1(C3^2xC4:C4) | 432,206 | |
| C3.2(C32×C4⋊C4) = C4⋊C4×He3 | central stem extension (φ=1) | 144 | C3.2(C3^2xC4:C4) | 432,207 | |
| C3.3(C32×C4⋊C4) = C4⋊C4×3- 1+2 | central stem extension (φ=1) | 144 | C3.3(C3^2xC4:C4) | 432,208 |