Extensions 1→N→G→Q→1 with N=C22 and Q=C56

Direct product G=NxQ with N=C22 and Q=C56
dρLabelID
C22xC56224C2^2xC56224,164

Semidirect products G=N:Q with N=C22 and Q=C56
extensionφ:Q→Aut NdρLabelID
C22:C56 = C7xC22:C8φ: C56/C28C2 ⊆ Aut C22112C2^2:C56224,47

Non-split extensions G=N.Q with N=C22 and Q=C56
extensionφ:Q→Aut NdρLabelID
C22.C56 = C7xM5(2)φ: C56/C28C2 ⊆ Aut C221122C2^2.C56224,59

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