| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C22×C10 | 120 | S3xC2^2xC10 | 240,206 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C5×S3) = C10×S4 | φ: C5×S3/C5 → S3 ⊆ Aut C23 | 30 | 3 | C2^3:(C5xS3) | 240,196 |
| C23⋊2(C5×S3) = C10×C3⋊D4 | φ: C5×S3/C15 → C2 ⊆ Aut C23 | 120 | C2^3:2(C5xS3) | 240,174 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C5×S3) = C5×A4⋊C4 | φ: C5×S3/C5 → S3 ⊆ Aut C23 | 60 | 3 | C2^3.(C5xS3) | 240,104 |
| C23.2(C5×S3) = C5×C6.D4 | φ: C5×S3/C15 → C2 ⊆ Aut C23 | 120 | C2^3.2(C5xS3) | 240,64 | |
| C23.3(C5×S3) = Dic3×C2×C10 | central extension (φ=1) | 240 | C2^3.3(C5xS3) | 240,173 |