Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇×Q₁₆

Direct product G=N×Q with N=C₄ and Q=C₇×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₈		448		Q16xC28	448,847

Semidirect products G=N:Q with N=C₄ and Q=C₇×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₇×Q₁₆) = C₇×C₄⋊Q₁₆	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4:1(C7xQ16)	448,902
C₄⋊₂(C₇×Q₁₆) = C₇×C₄⋊₂Q₁₆	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4:2(C7xQ16)	448,870

Non-split extensions G=N.Q with N=C₄ and Q=C₇×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₇×Q₁₆) = C₇×C₁₆⋊₃C₄	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.1(C7xQ16)	448,170
C₄.₂(C₇×Q₁₆) = C₇×C₁₆⋊₄C₄	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.2(C7xQ16)	448,171
C₄.₃(C₇×Q₁₆) = C₇×C₄.SD₁₆	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.3(C7xQ16)	448,895
C₄.₄(C₇×Q₁₆) = C₇×C₈⋊₂Q₈	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.4(C7xQ16)	448,908
C₄.₅(C₇×Q₁₆) = C₇×C₄.₁₀D₈	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.5(C7xQ16)	448,136
C₄.₆(C₇×Q₁₆) = C₇×C₄.₆Q₁₆	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.6(C7xQ16)	448,137
C₄.₇(C₇×Q₁₆) = C₇×C₄.Q₁₆	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.7(C7xQ16)	448,885
C₄.₈(C₇×Q₁₆) = C₇×Q₈⋊C₈	central extension (φ=1)	448		C4.8(C7xQ16)	448,130
C₄.₉(C₇×Q₁₆) = C₇×C₈⋊₁C₈	central extension (φ=1)	448		C4.9(C7xQ16)	448,139

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