| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C10×S4 | 60 | C2xC10xS4 | 480,1198 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C5×S4) = C5×C22⋊S4 | φ: C5×S4/C2×C10 → S3 ⊆ Aut C22 | 40 | 6 | C2^2:(C5xS4) | 480,1200 |
| C22⋊2(C5×S4) = C5×A4⋊D4 | φ: C5×S4/C5×A4 → C2 ⊆ Aut C22 | 60 | 6 | C2^2:2(C5xS4) | 480,1023 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C5×S4) = C5×C42⋊S3 | φ: C5×S4/C2×C10 → S3 ⊆ Aut C22 | 60 | 3 | C2^2.(C5xS4) | 480,254 |
| C22.2(C5×S4) = C5×Q8.D6 | φ: C5×S4/C5×A4 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.2(C5xS4) | 480,1018 |
| C22.3(C5×S4) = C5×Q8⋊Dic3 | central extension (φ=1) | 160 | C2^2.3(C5xS4) | 480,256 | |
| C22.4(C5×S4) = C10×CSU2(𝔽3) | central extension (φ=1) | 160 | C2^2.4(C5xS4) | 480,1016 | |
| C22.5(C5×S4) = C10×GL2(𝔽3) | central extension (φ=1) | 80 | C2^2.5(C5xS4) | 480,1017 | |
| C22.6(C5×S4) = C10×A4⋊C4 | central extension (φ=1) | 120 | C2^2.6(C5xS4) | 480,1022 |