| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C22⋊A4 | 36 | S3xC2^2:A4 | 288,1038 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊A4⋊1S3 = A4≀C2 | φ: S3/C1 → S3 ⊆ Out C22⋊A4 | 8 | 6+ | C2^2:A4:1S3 | 288,1025 |
| C22⋊A4⋊2S3 = PSO4+ (𝔽3) | φ: S3/C1 → S3 ⊆ Out C22⋊A4 | 12 | 9+ | C2^2:A4:2S3 | 288,1026 |
| C22⋊A4⋊3S3 = (C22×S3)⋊A4 | φ: S3/C3 → C2 ⊆ Out C22⋊A4 | 24 | 6 | C2^2:A4:3S3 | 288,411 |
| C22⋊A4⋊4S3 = (C2×C6)⋊S4 | φ: S3/C3 → C2 ⊆ Out C22⋊A4 | 24 | 6 | C2^2:A4:4S3 | 288,1036 |