Extensions 1→N→G→Q→1 with N=C₈ and Q=C₇×Q₈

Direct product G=N×Q with N=C₈ and Q=C₇×Q₈

		d	ρ	Label	ID
Q₈×C₅₆		448		Q8xC56	448,853

Semidirect products G=N:Q with N=C₈ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₇×Q₈) = C₇×C₈⋊Q₈	φ: C₇×Q₈/C₁₄ → C₂² ⊆ Aut C₈	448		C8:(C7xQ8)	448,909
C₈⋊₂(C₇×Q₈) = C₇×C₈⋊₂Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:2(C7xQ8)	448,908
C₈⋊₃(C₇×Q₈) = C₇×C₈⋊₃Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:3(C7xQ8)	448,906
C₈⋊₄(C₇×Q₈) = C₇×C₈⋊₄Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8:4(C7xQ8)	448,854

Non-split extensions G=N.Q with N=C₈ and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₇×Q₈) = C₇×C₈.Q₈	φ: C₇×Q₈/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.(C7xQ8)	448,169
C₈.₂(C₇×Q₈) = C₇×C₁₆⋊₃C₄	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.2(C7xQ8)	448,170
C₈.₃(C₇×Q₈) = C₇×C₁₆⋊₄C₄	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.3(C7xQ8)	448,171
C₈.₄(C₇×Q₈) = C₇×C₈.₅Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.4(C7xQ8)	448,907
C₈.₅(C₇×Q₈) = C₇×C₈.₄Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.5(C7xQ8)	448,172
C₈.₆(C₇×Q₈) = C₇×C₈.C₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.6(C7xQ8)	448,168
C₈.₇(C₇×Q₈) = C₇×C₄⋊C₁₆	central extension (φ=1)	448		C8.7(C7xQ8)	448,167

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