Extensions 1→N→G→Q→1 with N=D6 and Q=C23

Direct product G=NxQ with N=D6 and Q=C23
dρLabelID
S3xC2448S3xC2^496,230

Semidirect products G=N:Q with N=D6 and Q=C23
extensionφ:Q→Out NdρLabelID
D6:1C23 = C22xD12φ: C23/C22C2 ⊆ Out D648D6:1C2^396,207
D6:2C23 = C2xS3xD4φ: C23/C22C2 ⊆ Out D624D6:2C2^396,209
D6:3C23 = C22xC3:D4φ: C23/C22C2 ⊆ Out D648D6:3C2^396,219

Non-split extensions G=N.Q with N=D6 and Q=C23
extensionφ:Q→Out NdρLabelID
D6.1C23 = C2xC4oD12φ: C23/C22C2 ⊆ Out D648D6.1C2^396,208
D6.2C23 = C2xD4:2S3φ: C23/C22C2 ⊆ Out D648D6.2C2^396,210
D6.3C23 = D4:6D6φ: C23/C22C2 ⊆ Out D6244D6.3C2^396,211
D6.4C23 = C2xQ8:3S3φ: C23/C22C2 ⊆ Out D648D6.4C2^396,213
D6.5C23 = Q8.15D6φ: C23/C22C2 ⊆ Out D6484D6.5C2^396,214
D6.6C23 = S3xC4oD4φ: C23/C22C2 ⊆ Out D6244D6.6C2^396,215
D6.7C23 = D4oD12φ: C23/C22C2 ⊆ Out D6244+D6.7C2^396,216
D6.8C23 = Q8oD12φ: C23/C22C2 ⊆ Out D6484-D6.8C2^396,217
D6.9C23 = S3xC22xC4φ: trivial image48D6.9C2^396,206
D6.10C23 = C2xS3xQ8φ: trivial image48D6.10C2^396,212

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