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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₁₄ = C₇×D₁₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	84	2	C12:1C14	168,31
C₁₂⋊₂C₁₄ = S₃×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	84	2	C12:2C14	168,30
C₁₂⋊₃C₁₄ = D₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	84	2	C12:3C14	168,40

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₁₄ = C₇×Dic₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	168	2	C12.1C14	168,29
C₁₂.₂C₁₄ = C₇×C₃⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	168	2	C12.2C14	168,3
C₁₂.₃C₁₄ = Q₈×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₁₂	168	2	C12.3C14	168,41

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