| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×S3×A4 | 36 | C2^2xS3xA4 | 288,1037 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(S3×A4) = A4×S4 | φ: S3×A4/A4 → S3 ⊆ Aut C22 | 16 | 9+ | C2^2:(S3xA4) | 288,1024 |
| C22⋊2(S3×A4) = S3×C22⋊A4 | φ: S3×A4/C22×S3 → C3 ⊆ Aut C22 | 36 | C2^2:2(S3xA4) | 288,1038 | |
| C22⋊3(S3×A4) = A4×C3⋊D4 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C22 | 36 | 6 | C2^2:3(S3xA4) | 288,928 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.1(S3×A4) = (C4×C12)⋊C6 | φ: S3×A4/C22×S3 → C3 ⊆ Aut C22 | 36 | 6+ | C2^2.1(S3xA4) | 288,405 |
| C22.2(S3×A4) = C42⋊C3⋊S3 | φ: S3×A4/C22×S3 → C3 ⊆ Aut C22 | 48 | 6 | C2^2.2(S3xA4) | 288,406 |
| C22.3(S3×A4) = S3×C42⋊C3 | φ: S3×A4/C22×S3 → C3 ⊆ Aut C22 | 36 | 6 | C2^2.3(S3xA4) | 288,407 |
| C22.4(S3×A4) = (C22×S3)⋊A4 | φ: S3×A4/C22×S3 → C3 ⊆ Aut C22 | 24 | 6 | C2^2.4(S3xA4) | 288,411 |
| C22.5(S3×A4) = SL2(𝔽3).11D6 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.5(S3xA4) | 288,923 |
| C22.6(S3×A4) = Dic3×SL2(𝔽3) | central extension (φ=1) | 96 | C2^2.6(S3xA4) | 288,409 | |
| C22.7(S3×A4) = C2×Dic3.A4 | central extension (φ=1) | 96 | C2^2.7(S3xA4) | 288,921 | |
| C22.8(S3×A4) = C2×S3×SL2(𝔽3) | central extension (φ=1) | 48 | C2^2.8(S3xA4) | 288,922 | |
| C22.9(S3×A4) = C2×Dic3×A4 | central extension (φ=1) | 72 | C2^2.9(S3xA4) | 288,927 |