Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₁₂

Direct product G=N×Q with N=C₁₄ and Q=C₁₂

		d	ρ	Label	ID
C₂×C₈₄		168		C2xC84	168,39

Semidirect products G=N:Q with N=C₁₄ and Q=C₁₂

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊C₁₂ = C₂×C₇⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₁₄	56	C14:C12	168,10
C₁₄⋊₂C₁₂ = C₂×C₄×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₁₄	56	C14:2C12	168,19
C₁₄⋊₃C₁₂ = C₆×Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₄	168	C14:3C12	168,27

Non-split extensions G=N.Q with N=C₁₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.C₁₂ = C₇⋊C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₁₄	56	6	C14.C12	168,1
C₁₄.₂C₁₂ = C₈×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₁₄	56	3	C14.2C12	168,2
C₁₄.₃C₁₂ = C₃×C₇⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₄	168	2	C14.3C12	168,4

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Extensions 1→N→G→Q→1 with N=C14 and Q=C12