| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C62 | 72 | S3xC6^2 | 216,174 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C2×C6) = S32×C6 | φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C3 | 24 | 4 | C3:1(S3xC2xC6) | 216,170 |
| C3⋊2(S3×C2×C6) = C2×C6×C3⋊S3 | φ: S3×C2×C6/C62 → C2 ⊆ Aut C3 | 72 | C3:2(S3xC2xC6) | 216,175 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C2×C6) = C2×C6×D9 | φ: S3×C2×C6/C62 → C2 ⊆ Aut C3 | 72 | C3.1(S3xC2xC6) | 216,108 | |
| C3.2(S3×C2×C6) = C22×C32⋊C6 | φ: S3×C2×C6/C62 → C2 ⊆ Aut C3 | 36 | C3.2(S3xC2xC6) | 216,110 | |
| C3.3(S3×C2×C6) = C22×C9⋊C6 | φ: S3×C2×C6/C62 → C2 ⊆ Aut C3 | 36 | C3.3(S3xC2xC6) | 216,111 | |
| C3.4(S3×C2×C6) = S3×C2×C18 | central extension (φ=1) | 72 | C3.4(S3xC2xC6) | 216,109 |