Extensions 1→N→G→Q→1 with N=D4 and Q=C56

Direct product G=NxQ with N=D4 and Q=C56
dρLabelID
D4xC56224D4xC56448,842

Semidirect products G=N:Q with N=D4 and Q=C56
extensionφ:Q→Out NdρLabelID
D4:C56 = C7xD4:C8φ: C56/C28C2 ⊆ Out D4224D4:C56448,129

Non-split extensions G=N.Q with N=D4 and Q=C56
extensionφ:Q→Out NdρLabelID
D4.C56 = C7xD4.C8φ: C56/C28C2 ⊆ Out D42242D4.C56448,154
D4.2C56 = C7xD4oC16φ: trivial image2242D4.2C56448,912

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