Extensions 1→N→G→Q→1 with N=C₂₄₆ and Q=C₂

Direct product G=N×Q with N=C₂₄₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₄₆		492		C2xC246	492,12

Semidirect products G=N:Q with N=C₂₄₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₆⋊₁C₂ = D₂₄₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	246	2+	C246:1C2	492,11
C₂₄₆⋊₂C₂ = C₆×D₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	246	2	C246:2C2	492,9
C₂₄₆⋊₃C₂ = S₃×C₈₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	246	2	C246:3C2	492,10

Non-split extensions G=N.Q with N=C₂₄₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₆.₁C₂ = Dic₁₂₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	492	2-	C246.1C2	492,3
C₂₄₆.₂C₂ = C₃×Dic₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	492	2	C246.2C2	492,2
C₂₄₆.₃C₂ = Dic₃×C₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₆	492	2	C246.3C2	492,1

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Extensions 1→N→G→Q→1 with N=C246 and Q=C2