| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C2×C62 | 144 | S3xC2xC6^2 | 432,772 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C22×C6) = S32×C2×C6 | φ: S3×C22×C6/S3×C2×C6 → C2 ⊆ Aut C3 | 48 | C3:1(S3xC2^2xC6) | 432,767 | |
| C3⋊2(S3×C22×C6) = C3⋊S3×C22×C6 | φ: S3×C22×C6/C2×C62 → C2 ⊆ Aut C3 | 144 | C3:2(S3xC2^2xC6) | 432,773 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C22×C6) = D9×C22×C6 | φ: S3×C22×C6/C2×C62 → C2 ⊆ Aut C3 | 144 | C3.1(S3xC2^2xC6) | 432,556 | |
| C3.2(S3×C22×C6) = C23×C32⋊C6 | φ: S3×C22×C6/C2×C62 → C2 ⊆ Aut C3 | 72 | C3.2(S3xC2^2xC6) | 432,558 | |
| C3.3(S3×C22×C6) = C23×C9⋊C6 | φ: S3×C22×C6/C2×C62 → C2 ⊆ Aut C3 | 72 | C3.3(S3xC2^2xC6) | 432,559 | |
| C3.4(S3×C22×C6) = S3×C22×C18 | central extension (φ=1) | 144 | C3.4(S3xC2^2xC6) | 432,557 |