Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊C₄		16		C2xC2^3:C4	64,90

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁C₂ = C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	8	4+	C2^3:C4:1C2	64,32
C₂³⋊C₄⋊₂C₂ = C₄²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	8	4+	C2^3:C4:2C2	64,34
C₂³⋊C₄⋊₃C₂ = C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	8	4+	C2^3:C4:3C2	64,138
C₂³⋊C₄⋊₄C₂ = C₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4:4C2	64,139
C₂³⋊C₄⋊₅C₂ = C₂³.C₂³	φ: trivial image	16	4	C2^3:C4:5C2	64,91

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₂ = C₂³.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.1C2	64,33
C₂³⋊C₄.₂C₂ = C₄²⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₄	16	4	C2^3:C4.2C2	64,35

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