Extensions 1→N→G→Q→1 with N=Dic7 and Q=C22

Direct product G=N×Q with N=Dic7 and Q=C22

Semidirect products G=N:Q with N=Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic71C22 = D4×D7φ: C22/C2C2 ⊆ Out Dic7284+Dic7:1C2^2112,31
Dic72C22 = C2×C7⋊D4φ: C22/C2C2 ⊆ Out Dic756Dic7:2C2^2112,36
Dic73C22 = C2×C4×D7φ: trivial image56Dic7:3C2^2112,28

Non-split extensions G=N.Q with N=Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic7.1C22 = C2×Dic14φ: C22/C2C2 ⊆ Out Dic7112Dic7.1C2^2112,27
Dic7.2C22 = C4○D28φ: C22/C2C2 ⊆ Out Dic7562Dic7.2C2^2112,30
Dic7.3C22 = Q8×D7φ: C22/C2C2 ⊆ Out Dic7564-Dic7.3C2^2112,33
Dic7.4C22 = D42D7φ: trivial image564-Dic7.4C2^2112,32
Dic7.5C22 = Q82D7φ: trivial image564+Dic7.5C2^2112,34