Extensions 1→N→G→Q→1 with N=C₆ and Q=C₇×Q₈

Direct product G=N×Q with N=C₆ and Q=C₇×Q₈

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₆ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₇×Q₈) = C₁₄×Dic₆	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₆	336		C6:(C7xQ8)	336,184

Non-split extensions G=N.Q with N=C₆ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(C₇×Q₈) = C₇×Dic₃⋊C₄	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₆	336	C6.1(C7xQ8)	336,82
C₆.₂(C₇×Q₈) = C₇×C₄⋊Dic₃	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₆	336	C6.2(C7xQ8)	336,83
C₆.₃(C₇×Q₈) = C₄⋊C₄×C₂₁	central extension (φ=1)	336	C6.3(C7xQ8)	336,108

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Extensions 1→N→G→Q→1 with N=C6 and Q=C7×Q8