Extensions 1→N→G→Q→1 with N=C₃₂ and Q=D₇

Direct product G=N×Q with N=C₃₂ and Q=D₇

		d	ρ	Label	ID
D₇×C₃₂		224	2	D7xC32	448,3

Semidirect products G=N:Q with N=C₃₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂⋊₁D₇ = D₂₂₄	φ: D₇/C₇ → C₂ ⊆ Aut C₃₂	224	2+	C32:1D7	448,5
C₃₂⋊₂D₇ = C₂₂₄⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₃₂	224	2	C32:2D7	448,6
C₃₂⋊₃D₇ = C₃₂⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₃₂	224	2	C32:3D7	448,4

Non-split extensions G=N.Q with N=C₃₂ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.D₇ = Dic₁₁₂	φ: D₇/C₇ → C₂ ⊆ Aut C₃₂	448	2-	C32.D7	448,7
C₃₂.₂D₇ = C₇⋊C₆₄	central extension (φ=1)	448	2	C32.2D7	448,1

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Extensions 1→N→G→Q→1 with N=C32 and Q=D7