Extensions 1→N→G→Q→1 with N=C₂₄₄ and Q=C₂

Direct product G=N×Q with N=C₂₄₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₄₄		488		C2xC244	488,9

Semidirect products G=N:Q with N=C₂₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₄⋊₁C₂ = D₂₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	244	2+	C244:1C2	488,6
C₂₄₄⋊₂C₂ = C₄×D₆₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	244	2	C244:2C2	488,5
C₂₄₄⋊₃C₂ = D₄×C₆₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	244	2	C244:3C2	488,10

Non-split extensions G=N.Q with N=C₂₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₄.₁C₂ = Dic₁₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	488	2-	C244.1C2	488,4
C₂₄₄.₂C₂ = C₆₁⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	488	2	C244.2C2	488,1
C₂₄₄.₃C₂ = Q₈×C₆₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₄	488	2	C244.3C2	488,11

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Extensions 1→N→G→Q→1 with N=C244 and Q=C2