| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C22×C14 | 168 | S3xC2^2xC14 | 336,226 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(S3×C7) = S3×F8 | φ: S3×C7/S3 → C7 ⊆ Aut C23 | 24 | 14+ | C2^3:(S3xC7) | 336,211 |
| C23⋊2(S3×C7) = C14×S4 | φ: S3×C7/C7 → S3 ⊆ Aut C23 | 42 | 3 | C2^3:2(S3xC7) | 336,214 |
| C23⋊3(S3×C7) = C14×C3⋊D4 | φ: S3×C7/C21 → C2 ⊆ Aut C23 | 168 | C2^3:3(S3xC7) | 336,193 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(S3×C7) = C7×A4⋊C4 | φ: S3×C7/C7 → S3 ⊆ Aut C23 | 84 | 3 | C2^3.(S3xC7) | 336,117 |
| C23.2(S3×C7) = C7×C6.D4 | φ: S3×C7/C21 → C2 ⊆ Aut C23 | 168 | C2^3.2(S3xC7) | 336,89 | |
| C23.3(S3×C7) = Dic3×C2×C14 | central extension (φ=1) | 336 | C2^3.3(S3xC7) | 336,192 |