Extensions 1→N→G→Q→1 with N=C21 and Q=C14

Direct product G=N×Q with N=C21 and Q=C14
dρLabelID
C7×C42294C7xC42294,23

Semidirect products G=N:Q with N=C21 and Q=C14
extensionφ:Q→Aut NdρLabelID
C211C14 = C7×D21φ: C14/C7C2 ⊆ Aut C21422C21:1C14294,21
C212C14 = D7×C21φ: C14/C7C2 ⊆ Aut C21422C21:2C14294,18
C213C14 = S3×C72φ: C14/C7C2 ⊆ Aut C21147C21:3C14294,20

Non-split extensions G=N.Q with N=C21 and Q=C14
extensionφ:Q→Aut NdρLabelID
C21.C14 = S3×C49φ: C14/C7C2 ⊆ Aut C211472C21.C14294,3

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