| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C4×C3.A4 | 72 | C2xC4xC3.A4 | 288,343 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4⋊(C2×C3.A4) = D4×C3.A4 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C4 | 36 | 6 | C4:(C2xC3.A4) | 288,344 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4.1(C2×C3.A4) = Q8×C3.A4 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C4 | 72 | 6 | C4.1(C2xC3.A4) | 288,346 |
| C4.2(C2×C3.A4) = 2+ 1+4⋊C9 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C4 | 72 | 4 | C4.2(C2xC3.A4) | 288,348 |
| C4.3(C2×C3.A4) = 2- 1+4⋊C9 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C4 | 144 | 4 | C4.3(C2xC3.A4) | 288,349 |
| C4.4(C2×C3.A4) = C8×C3.A4 | central extension (φ=1) | 72 | 3 | C4.4(C2xC3.A4) | 288,76 |
| C4.5(C2×C3.A4) = Q8.C36 | central extension (φ=1) | 144 | 2 | C4.5(C2xC3.A4) | 288,77 |
| C4.6(C2×C3.A4) = C2×Q8.C18 | central extension (φ=1) | 144 | C4.6(C2xC3.A4) | 288,347 |