Extensions 1→N→G→Q→1 with N=C₂≀C₂² and Q=C₂

Direct product G=N×Q with N=C₂≀C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₂≀C₂²		16		C2xC2wrC2^2	128,1755

Semidirect products G=N:Q with N=C₂≀C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂≀C₂²⋊₁C₂ = D₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	8	4+	C2wrC2^2:1C2	128,928
C₂≀C₂²⋊₂C₂ = C₄²⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	16	8+	C2wrC2^2:2C2	128,931
C₂≀C₂²⋊₃C₂ = C₄²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	16	8+	C2wrC2^2:3C2	128,932
C₂≀C₂²⋊₄C₂ = C₂⁴⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	16	8+	C2wrC2^2:4C2	128,1758
C₂≀C₂²⋊₅C₂ = C₂³.₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	16	8+	C2wrC2^2:5C2	128,1759
C₂≀C₂²⋊₆C₂ = C₂³.₇C₂⁴	φ: trivial image	16	4	C2wrC2^2:6C2	128,1757

Non-split extensions G=N.Q with N=C₂≀C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂≀C₂².C₂ = C₄²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂≀C₂²	16	4	C2wrC2^2.C2	128,929

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