Extensions 1→N→G→Q→1 with N=C₁₇₂ and Q=C₂

Direct product G=N×Q with N=C₁₇₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₇₂		344		C2xC172	344,8

Semidirect products G=N:Q with N=C₁₇₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₂⋊₁C₂ = D₁₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	172	2+	C172:1C2	344,5
C₁₇₂⋊₂C₂ = C₄×D₄₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	172	2	C172:2C2	344,4
C₁₇₂⋊₃C₂ = D₄×C₄₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	172	2	C172:3C2	344,9

Non-split extensions G=N.Q with N=C₁₇₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₂.₁C₂ = Dic₈₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	344	2-	C172.1C2	344,3
C₁₇₂.₂C₂ = C₄₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	344	2	C172.2C2	344,1
C₁₇₂.₃C₂ = Q₈×C₄₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₂	344	2	C172.3C2	344,10

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Extensions 1→N→G→Q→1 with N=C172 and Q=C2