Extensions 1→N→G→Q→1 with N=Q8xC27 and Q=C2

Direct product G=NxQ with N=Q8xC27 and Q=C2
dρLabelID
Q8xC54432Q8xC54432,55

Semidirect products G=N:Q with N=Q8xC27 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC27):1C2 = Q8:2D27φ: C2/C1C2 ⊆ Out Q8xC272164+(Q8xC27):1C2432,18
(Q8xC27):2C2 = Q8xD27φ: C2/C1C2 ⊆ Out Q8xC272164-(Q8xC27):2C2432,49
(Q8xC27):3C2 = Q8:3D27φ: C2/C1C2 ⊆ Out Q8xC272164+(Q8xC27):3C2432,50
(Q8xC27):4C2 = SD16xC27φ: C2/C1C2 ⊆ Out Q8xC272162(Q8xC27):4C2432,26
(Q8xC27):5C2 = C4oD4xC27φ: trivial image2162(Q8xC27):5C2432,56

Non-split extensions G=N.Q with N=Q8xC27 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC27).1C2 = C27:Q16φ: C2/C1C2 ⊆ Out Q8xC274324-(Q8xC27).1C2432,17
(Q8xC27).2C2 = Q16xC27φ: C2/C1C2 ⊆ Out Q8xC274322(Q8xC27).2C2432,27

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