Extensions 1→N→G→Q→1 with N=C₁₇₄ and Q=C₂

Direct product G=N×Q with N=C₁₇₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₇₄		348		C2xC174	348,12

Semidirect products G=N:Q with N=C₁₇₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₄⋊₁C₂ = D₁₇₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	174	2+	C174:1C2	348,11
C₁₇₄⋊₂C₂ = C₆×D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	174	2	C174:2C2	348,9
C₁₇₄⋊₃C₂ = S₃×C₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	174	2	C174:3C2	348,10

Non-split extensions G=N.Q with N=C₁₇₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₄.₁C₂ = Dic₈₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	348	2-	C174.1C2	348,3
C₁₇₄.₂C₂ = C₃×Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	348	2	C174.2C2	348,2
C₁₇₄.₃C₂ = Dic₃×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₄	348	2	C174.3C2	348,1

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Extensions 1→N→G→Q→1 with N=C174 and Q=C2