Extensions 1→N→G→Q→1 with N=C₂×C₁₆ and Q=D₇

Direct product G=N×Q with N=C₂×C₁₆ and Q=D₇

		d	ρ	Label	ID
D₇×C₂×C₁₆		224		D7xC2xC16	448,433

Semidirect products G=N:Q with N=C₂×C₁₆ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁D₇ = D₁₄⋊C₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224		(C2xC16):1D7	448,64
(C₂×C₁₆)⋊₂D₇ = D₂₈.C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16):2D7	448,65
(C₂×C₁₆)⋊₃D₇ = C₂.D₁₁₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224		(C2xC16):3D7	448,66
(C₂×C₁₆)⋊₄D₇ = D₅₆.₁C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16):4D7	448,67
(C₂×C₁₆)⋊₅D₇ = C₂×D₁₁₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224		(C2xC16):5D7	448,436
(C₂×C₁₆)⋊₆D₇ = D₁₁₂⋊₇C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16):6D7	448,438
(C₂×C₁₆)⋊₇D₇ = C₂×C₁₁₂⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224		(C2xC16):7D7	448,437
(C₂×C₁₆)⋊₈D₇ = C₂×C₁₆⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224		(C2xC16):8D7	448,434
(C₂×C₁₆)⋊₉D₇ = D₂₈.₄C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16):9D7	448,435

Non-split extensions G=N.Q with N=C₂×C₁₆ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁D₇ = Dic₇⋊C₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).1D7	448,58
(C₂×C₁₆).₂D₇ = C₅₆.₇₈D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).2D7	448,60
(C₂×C₁₆).₃D₇ = C₁₁₂⋊₅C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).3D7	448,61
(C₂×C₁₆).₄D₇ = C₂×Dic₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).4D7	448,439
(C₂×C₁₆).₅D₇ = C₁₁₂.C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16).5D7	448,63
(C₂×C₁₆).₆D₇ = C₁₁₂⋊₆C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).6D7	448,62
(C₂×C₁₆).₇D₇ = C₇⋊M₆(2)	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	224	2	(C2xC16).7D7	448,56
(C₂×C₁₆).₈D₇ = C₁₁₂⋊₉C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₆	448		(C2xC16).8D7	448,59
(C₂×C₁₆).₉D₇ = C₂×C₇⋊C₃₂	central extension (φ=1)	448		(C2xC16).9D7	448,55
(C₂×C₁₆).₁₀D₇ = C₁₆×Dic₇	central extension (φ=1)	448		(C2xC16).10D7	448,57

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