Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃×D₇

Direct product G=N×Q with N=C₂×C₄ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₃×D₇) = C₃×D₁₄⋊C₄	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):1(C3xD7)	336,68
(C₂×C₄)⋊₂(C₃×D₇) = C₆×D₂₈	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):2(C3xD7)	336,176
(C₂×C₄)⋊₃(C₃×D₇) = C₃×C₄○D₂₈	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4):3(C3xD7)	336,177

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₃×D₇) = C₃×Dic₇⋊C₄	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).1(C3xD7)	336,66
(C₂×C₄).₂(C₃×D₇) = C₃×C₄.Dic₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4).2(C3xD7)	336,64
(C₂×C₄).₃(C₃×D₇) = C₃×C₄⋊Dic₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).3(C3xD7)	336,67
(C₂×C₄).₄(C₃×D₇) = C₆×Dic₁₄	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).4(C3xD7)	336,174
(C₂×C₄).₅(C₃×D₇) = C₆×C₇⋊C₈	central extension (φ=1)	336		(C2xC4).5(C3xD7)	336,63
(C₂×C₄).₆(C₃×D₇) = C₁₂×Dic₇	central extension (φ=1)	336		(C2xC4).6(C3xD7)	336,65

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