| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S32×C12 | 48 | 4 | S3^2xC12 | 432,648 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C4×S32) = S3×C6.D6 | φ: C4×S32/S3×Dic3 → C2 ⊆ Aut C3 | 24 | 8+ | C3:1(C4xS3^2) | 432,595 |
| C3⋊2(C4×S32) = Dic3⋊6S32 | φ: C4×S32/C6.D6 → C2 ⊆ Aut C3 | 48 | 8- | C3:2(C4xS3^2) | 432,596 |
| C3⋊3(C4×S32) = C4×S3×C3⋊S3 | φ: C4×S32/S3×C12 → C2 ⊆ Aut C3 | 72 | C3:3(C4xS3^2) | 432,670 | |
| C3⋊4(C4×S32) = C4×C32⋊4D6 | φ: C4×S32/C4×C3⋊S3 → C2 ⊆ Aut C3 | 48 | 4 | C3:4(C4xS3^2) | 432,690 |
| C3⋊5(C4×S32) = S32×Dic3 | φ: C4×S32/C2×S32 → C2 ⊆ Aut C3 | 48 | 8- | C3:5(C4xS3^2) | 432,594 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C4×S32) = C4×S3×D9 | φ: C4×S32/S3×C12 → C2 ⊆ Aut C3 | 72 | 4 | C3.1(C4xS3^2) | 432,290 |
| C3.2(C4×S32) = C4×C32⋊D6 | φ: C4×S32/C4×C3⋊S3 → C2 ⊆ Aut C3 | 36 | 6 | C3.2(C4xS3^2) | 432,300 |