Extensions 1→N→G→Q→1 with N=C₇⋊C₁₆ and Q=C₂

Direct product G=N×Q with N=C₇⋊C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊C₁₆		224		C2xC7:C16	224,17

Semidirect products G=N:Q with N=C₇⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆⋊₁C₂ = C₇⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	112	4+	C7:C16:1C2	224,32
C₇⋊C₁₆⋊₂C₂ = D₈.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	112	4-	C7:C16:2C2	224,33
C₇⋊C₁₆⋊₃C₂ = C₇⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	112	4+	C7:C16:3C2	224,34
C₇⋊C₁₆⋊₄C₂ = C₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	112	2	C7:C16:4C2	224,4
C₇⋊C₁₆⋊₅C₂ = C₂₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	112	2	C7:C16:5C2	224,18
C₇⋊C₁₆⋊₆C₂ = D₇×C₁₆	φ: trivial image	112	2	C7:C16:6C2	224,3

Non-split extensions G=N.Q with N=C₇⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆.C₂ = C₇⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₆	224	4-	C7:C16.C2	224,35

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