Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₂₈

Direct product G=N×Q with N=C₂×C₆ and Q=C₂₈

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₂₈

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₆)⋊₁C₂₈ = C₂²⋊C₄×C₂₁	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	(C2xC6):1C28	336,107
(C₂×C₆)⋊₂C₂₈ = C₇×C₆.D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	(C2xC6):2C28	336,89
(C₂×C₆)⋊₃C₂₈ = Dic₃×C₂×C₁₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	336	(C2xC6):3C28	336,192

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₂₈ = M₄(2)×C₂₁	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	2	(C2xC6).1C28	336,110
(C₂×C₆).₂C₂₈ = C₁₄×C₃⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	336		(C2xC6).2C28	336,79
(C₂×C₆).₃C₂₈ = C₇×C₄.Dic₃	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	2	(C2xC6).3C28	336,80

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C28