d | ρ | Label | ID | ||
---|---|---|---|---|---|
C32×D4⋊2S3 | 72 | C3^2xD4:2S3 | 432,705 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C3⋊1(C3×D4⋊2S3) = C3×D12⋊S3 | φ: C3×D4⋊2S3/C3×Dic6 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(C3xD4:2S3) | 432,644 |
C3⋊2(C3×D4⋊2S3) = C3×D12⋊5S3 | φ: C3×D4⋊2S3/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:2(C3xD4:2S3) | 432,643 |
C3⋊3(C3×D4⋊2S3) = C3×D6.3D6 | φ: C3×D4⋊2S3/C6×Dic3 → C2 ⊆ Aut C3 | 24 | 4 | C3:3(C3xD4:2S3) | 432,652 |
C3⋊4(C3×D4⋊2S3) = C3×D6.4D6 | φ: C3×D4⋊2S3/C3×C3⋊D4 → C2 ⊆ Aut C3 | 24 | 4 | C3:4(C3xD4:2S3) | 432,653 |
C3⋊5(C3×D4⋊2S3) = C3×C12.D6 | φ: C3×D4⋊2S3/D4×C32 → C2 ⊆ Aut C3 | 72 | C3:5(C3xD4:2S3) | 432,715 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C3.1(C3×D4⋊2S3) = C3×D4⋊2D9 | φ: C3×D4⋊2S3/D4×C32 → C2 ⊆ Aut C3 | 72 | 4 | C3.1(C3xD4:2S3) | 432,357 |
C3.2(C3×D4⋊2S3) = C62.13D6 | φ: C3×D4⋊2S3/D4×C32 → C2 ⊆ Aut C3 | 72 | 12- | C3.2(C3xD4:2S3) | 432,361 |
C3.3(C3×D4⋊2S3) = Dic18⋊2C6 | φ: C3×D4⋊2S3/D4×C32 → C2 ⊆ Aut C3 | 72 | 12- | C3.3(C3xD4:2S3) | 432,363 |
C3.4(C3×D4⋊2S3) = C9×D4⋊2S3 | central extension (φ=1) | 72 | 4 | C3.4(C3xD4:2S3) | 432,359 |