Extensions 1→N→G→Q→1 with N=D4 and Q=D6

Direct product G=NxQ with N=D4 and Q=D6
dρLabelID
C2xS3xD424C2xS3xD496,209

Semidirect products G=N:Q with N=D4 and Q=D6
extensionφ:Q→Out NdρLabelID
D4:1D6 = S3xD8φ: D6/S3C2 ⊆ Out D4244+D4:1D696,117
D4:2D6 = D8:S3φ: D6/S3C2 ⊆ Out D4244D4:2D696,118
D4:3D6 = C2xD4:S3φ: D6/C6C2 ⊆ Out D448D4:3D696,138
D4:4D6 = D4:D6φ: D6/C6C2 ⊆ Out D4244+D4:4D696,156
D4:5D6 = C2xD4:2S3φ: trivial image48D4:5D696,210
D4:6D6 = D4:6D6φ: trivial image244D4:6D696,211
D4:7D6 = S3xC4oD4φ: trivial image244D4:7D696,215
D4:8D6 = D4oD12φ: trivial image244+D4:8D696,216

Non-split extensions G=N.Q with N=D4 and Q=D6
extensionφ:Q→Out NdρLabelID
D4.1D6 = D8:3S3φ: D6/S3C2 ⊆ Out D4484-D4.1D696,119
D4.2D6 = S3xSD16φ: D6/S3C2 ⊆ Out D4244D4.2D696,120
D4.3D6 = Q8:3D6φ: D6/S3C2 ⊆ Out D4244+D4.3D696,121
D4.4D6 = D4.D6φ: D6/S3C2 ⊆ Out D4484-D4.4D696,122
D4.5D6 = Q8.7D6φ: D6/S3C2 ⊆ Out D4484D4.5D696,123
D4.6D6 = D12:6C22φ: D6/C6C2 ⊆ Out D4244D4.6D696,139
D4.7D6 = C2xD4.S3φ: D6/C6C2 ⊆ Out D448D4.7D696,140
D4.8D6 = Q8.13D6φ: D6/C6C2 ⊆ Out D4484D4.8D696,157
D4.9D6 = Q8.14D6φ: D6/C6C2 ⊆ Out D4484-D4.9D696,158
D4.10D6 = Q8oD12φ: trivial image484-D4.10D696,217

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