Extensions 1→N→G→Q→1 with N=C₆×D₇ and Q=C₄

Direct product G=N×Q with N=C₆×D₇ and Q=C₄

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

Semidirect products G=N:Q with N=C₆×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇)⋊₁C₄ = D₁₄⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):1C4	336,42
(C₆×D₇)⋊₂C₄ = C₂×Dic₃×D₇	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):2C4	336,151
(C₆×D₇)⋊₃C₄ = C₃×D₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):3C4	336,68

Non-split extensions G=N.Q with N=C₆×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇).₁C₄ = D₇×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168	4	(C6xD7).1C4	336,23
(C₆×D₇).₂C₄ = C₂₈.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168	4	(C6xD7).2C4	336,26
(C₆×D₇).₃C₄ = C₃×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₇	168	2	(C6xD7).3C4	336,59
(C₆×D₇).₄C₄ = D₇×C₂₄	φ: trivial image	168	2	(C6xD7).4C4	336,58

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