| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×C3⋊S4 | 36 | C2^2xC3:S4 | 288,1034 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊1(C3⋊S4) = PSO4+ (𝔽3) | φ: C3⋊S4/A4 → S3 ⊆ Aut C22 | 12 | 9+ | C2^2:1(C3:S4) | 288,1026 |
| C22⋊2(C3⋊S4) = (C2×C6)⋊S4 | φ: C3⋊S4/C2×C6 → S3 ⊆ Aut C22 | 24 | 6 | C2^2:2(C3:S4) | 288,1036 |
| C22⋊3(C3⋊S4) = (C2×C6)⋊4S4 | φ: C3⋊S4/C3×A4 → C2 ⊆ Aut C22 | 36 | 6 | C2^2:3(C3:S4) | 288,917 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C3⋊S4) = (C4×C12)⋊S3 | φ: C3⋊S4/C2×C6 → S3 ⊆ Aut C22 | 36 | 6+ | C2^2.(C3:S4) | 288,401 |
| C22.2(C3⋊S4) = SL2(𝔽3).D6 | φ: C3⋊S4/C3×A4 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.2(C3:S4) | 288,912 |
| C22.3(C3⋊S4) = C6.GL2(𝔽3) | central extension (φ=1) | 96 | C2^2.3(C3:S4) | 288,403 | |
| C22.4(C3⋊S4) = C2×C6.5S4 | central extension (φ=1) | 96 | C2^2.4(C3:S4) | 288,910 | |
| C22.5(C3⋊S4) = C2×C6.6S4 | central extension (φ=1) | 48 | C2^2.5(C3:S4) | 288,911 | |
| C22.6(C3⋊S4) = C2×C6.7S4 | central extension (φ=1) | 72 | C2^2.6(C3:S4) | 288,916 |