Extensions 1→N→G→Q→1 with N=Dic27 and Q=C22

Direct product G=N×Q with N=Dic27 and Q=C22

Semidirect products G=N:Q with N=Dic27 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic271C22 = D4×D27φ: C22/C2C2 ⊆ Out Dic271084+Dic27:1C2^2432,47
Dic272C22 = C2×C27⋊D4φ: C22/C2C2 ⊆ Out Dic27216Dic27:2C2^2432,52
Dic273C22 = C2×C4×D27φ: trivial image216Dic27:3C2^2432,44

Non-split extensions G=N.Q with N=Dic27 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic27.1C22 = C2×Dic54φ: C22/C2C2 ⊆ Out Dic27432Dic27.1C2^2432,43
Dic27.2C22 = D1085C2φ: C22/C2C2 ⊆ Out Dic272162Dic27.2C2^2432,46
Dic27.3C22 = D42D27φ: C22/C2C2 ⊆ Out Dic272164-Dic27.3C2^2432,48
Dic27.4C22 = Q8×D27φ: C22/C2C2 ⊆ Out Dic272164-Dic27.4C2^2432,49
Dic27.5C22 = Q83D27φ: trivial image2164+Dic27.5C2^2432,50