Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇×SD₁₆

Direct product G=N×Q with N=C₄ and Q=C₇×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂₈		224		SD16xC28	448,846

Semidirect products G=N:Q with N=C₄ and Q=C₇×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₇×SD₁₆) = C₇×C₈⋊₅D₄	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	224		C4:1(C7xSD16)	448,900
C₄⋊₂(C₇×SD₁₆) = C₇×D₄.D₄	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4:2(C7xSD16)	448,869
C₄⋊₃(C₇×SD₁₆) = C₇×C₄⋊SD₁₆	φ: C₇×SD₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	224		C4:3(C7xSD16)	448,868

Non-split extensions G=N.Q with N=C₄ and Q=C₇×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₇×SD₁₆) = C₇×C₂.D₁₆	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	224		C4.1(C7xSD16)	448,161
C₄.₂(C₇×SD₁₆) = C₇×C₂.Q₃₂	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.2(C7xSD16)	448,162
C₄.₃(C₇×SD₁₆) = C₇×C₄.₄D₈	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	224		C4.3(C7xSD16)	448,894
C₄.₄(C₇×SD₁₆) = C₇×C₄.SD₁₆	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.4(C7xSD16)	448,895
C₄.₅(C₇×SD₁₆) = C₇×C₈⋊₃Q₈	φ: C₇×SD₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4.5(C7xSD16)	448,906
C₄.₆(C₇×SD₁₆) = C₇×C₄.₁₀D₈	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	448		C4.6(C7xSD16)	448,136
C₄.₇(C₇×SD₁₆) = C₇×C₄.₆Q₁₆	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	448		C4.7(C7xSD16)	448,137
C₄.₈(C₇×SD₁₆) = C₇×D₈⋊₂C₄	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.8(C7xSD16)	448,164
C₄.₉(C₇×SD₁₆) = C₇×C₈.Q₈	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.9(C7xSD16)	448,169
C₄.₁₀(C₇×SD₁₆) = C₇×D₄⋊₂Q₈	φ: C₇×SD₁₆/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.10(C7xSD16)	448,884
C₄.₁₁(C₇×SD₁₆) = C₇×C₄.D₈	φ: C₇×SD₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	224		C4.11(C7xSD16)	448,135
C₄.₁₂(C₇×SD₁₆) = C₇×Q₈⋊Q₈	φ: C₇×SD₁₆/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.12(C7xSD16)	448,883
C₄.₁₃(C₇×SD₁₆) = C₇×D₄⋊C₈	central extension (φ=1)	224		C4.13(C7xSD16)	448,129
C₄.₁₄(C₇×SD₁₆) = C₇×Q₈⋊C₈	central extension (φ=1)	448		C4.14(C7xSD16)	448,130
C₄.₁₅(C₇×SD₁₆) = C₇×C₈⋊₂C₈	central extension (φ=1)	448		C4.15(C7xSD16)	448,138

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