Extensions 1→N→G→Q→1 with N=C₂₂₂ and Q=C₂

Direct product G=N×Q with N=C₂₂₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₂₂		444		C2xC222	444,18

Semidirect products G=N:Q with N=C₂₂₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂₂⋊₁C₂ = D₂₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	222	2+	C222:1C2	444,17
C₂₂₂⋊₂C₂ = C₆×D₃₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	222	2	C222:2C2	444,15
C₂₂₂⋊₃C₂ = S₃×C₇₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	222	2	C222:3C2	444,16

Non-split extensions G=N.Q with N=C₂₂₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂₂.₁C₂ = Dic₁₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	444	2-	C222.1C2	444,5
C₂₂₂.₂C₂ = C₃×Dic₃₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	444	2	C222.2C2	444,4
C₂₂₂.₃C₂ = Dic₃×C₃₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₂	444	2	C222.3C2	444,3

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Extensions 1→N→G→Q→1 with N=C222 and Q=C2