Extensions 1→N→G→Q→1 with N=C6 and Q=Dic7

Direct product G=N×Q with N=C6 and Q=Dic7
dρLabelID
C6×Dic7168C6xDic7168,27

Semidirect products G=N:Q with N=C6 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C6⋊Dic7 = C2×Dic21φ: Dic7/C14C2 ⊆ Aut C6168C6:Dic7168,37

Non-split extensions G=N.Q with N=C6 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C6.Dic7 = C21⋊C8φ: Dic7/C14C2 ⊆ Aut C61682C6.Dic7168,5
C6.2Dic7 = C3×C7⋊C8central extension (φ=1)1682C6.2Dic7168,4

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