Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂₈

Direct product G=N×Q with N=C₁₂ and Q=C₂₈

		d	ρ	Label	ID
C₄×C₈₄		336		C4xC84	336,106

Semidirect products G=N:Q with N=C₁₂ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₂₈ = C₇×C₄⋊Dic₃	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:1C28	336,83
C₁₂⋊₂C₂₈ = Dic₃×C₂₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:2C28	336,81
C₁₂⋊₃C₂₈ = C₄⋊C₄×C₂₁	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:3C28	336,108

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₂₈ = C₇×C₄.Dic₃	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.1C28	336,80
C₁₂.₂C₂₈ = C₇×C₃⋊C₁₆	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	336	2	C12.2C28	336,3
C₁₂.₃C₂₈ = C₁₄×C₃⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12.3C28	336,79
C₁₂.₄C₂₈ = M₄(2)×C₂₁	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.4C28	336,110

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