Extensions 1→N→G→Q→1 with N=C7 and Q=C2×Dic7

Direct product G=N×Q with N=C7 and Q=C2×Dic7
dρLabelID
C14×Dic756C14xDic7392,26

Semidirect products G=N:Q with N=C7 and Q=C2×Dic7
extensionφ:Q→Aut NdρLabelID
C71(C2×Dic7) = D7×Dic7φ: C2×Dic7/Dic7C2 ⊆ Aut C7564-C7:1(C2xDic7)392,18
C72(C2×Dic7) = C2×C7⋊Dic7φ: C2×Dic7/C2×C14C2 ⊆ Aut C7392C7:2(C2xDic7)392,31

Non-split extensions G=N.Q with N=C7 and Q=C2×Dic7
extensionφ:Q→Aut NdρLabelID
C7.(C2×Dic7) = C2×Dic49φ: C2×Dic7/C2×C14C2 ⊆ Aut C7392C7.(C2xDic7)392,6

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