Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇×Q₈

Direct product G=N×Q with N=C₄ and Q=C₇×Q₈

		d	ρ	Label	ID
Q₈×C₂₈		224		Q8xC28	224,154

Semidirect products G=N:Q with N=C₄ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₇×Q₈) = C₇×C₄⋊Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₄	224		C4:(C7xQ8)	224,163

Non-split extensions G=N.Q with N=C₄ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(C₇×Q₈) = C₇×C₄.Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₄	224	C4.1(C7xQ8)	224,55
C₄.₂(C₇×Q₈) = C₇×C₂.D₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₄	224	C4.2(C7xQ8)	224,56
C₄.₃(C₇×Q₈) = C₇×C₄².C₂	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₄	224	C4.3(C7xQ8)	224,160
C₄.₄(C₇×Q₈) = C₇×C₄⋊C₈	central extension (φ=1)	224	C4.4(C7xQ8)	224,54

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Extensions 1→N→G→Q→1 with N=C4 and Q=C7×Q8