| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22⋊C4×C33 | 216 | C2^2:C4xC3^3 | 432,513 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C32×C22⋊C4) = C32×D6⋊C4 | φ: C32×C22⋊C4/C6×C12 → C2 ⊆ Aut C3 | 144 | C3:1(C3^2xC2^2:C4) | 432,474 | |
| C3⋊2(C32×C22⋊C4) = C32×C6.D4 | φ: C32×C22⋊C4/C2×C62 → C2 ⊆ Aut C3 | 72 | C3:2(C3^2xC2^2:C4) | 432,479 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C32×C22⋊C4) = C22⋊C4×C3×C9 | central extension (φ=1) | 216 | C3.1(C3^2xC2^2:C4) | 432,203 | |
| C3.2(C32×C22⋊C4) = C22⋊C4×He3 | central stem extension (φ=1) | 72 | C3.2(C3^2xC2^2:C4) | 432,204 | |
| C3.3(C32×C22⋊C4) = C22⋊C4×3- 1+2 | central stem extension (φ=1) | 72 | C3.3(C3^2xC2^2:C4) | 432,205 |