Extensions 1→N→G→Q→1 with N=C₄.₁₀C₄² and Q=C₂

Direct product G=N×Q with N=C₄.₁₀C₄² and Q=C₂

		d	ρ	Label	ID
C₂×C₄.₁₀C₄²		32		C2xC4.10C4^2	128,463

Semidirect products G=N:Q with N=C₄.₁₀C₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀C₄²⋊₁C₂ = C₂³.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	8+	C4.10C4^2:1C2	128,73
C₄.₁₀C₄²⋊₂C₂ = M₄(2).₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	8-	C4.10C4^2:2C2	128,634
C₄.₁₀C₄²⋊₃C₂ = M₄(2).₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	8+	C4.10C4^2:3C2	128,635
C₄.₁₀C₄²⋊₄C₂ = (C₂×C₈).₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	4	C4.10C4^2:4C2	128,749
C₄.₁₀C₄²⋊₅C₂ = C₄².₁₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	4	C4.10C4^2:5C2	128,782
C₄.₁₀C₄²⋊₆C₂ = C₂⁴.₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	4	C4.10C4^2:6C2	128,823
C₄.₁₀C₄²⋊₇C₂ = (C₂×C₈).₁₀₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	4	C4.10C4^2:7C2	128,545
C₄.₁₀C₄²⋊₈C₂ = C₂⁴.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	8+	C4.10C4^2:8C2	128,801

Non-split extensions G=N.Q with N=C₄.₁₀C₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀C₄².₁C₂ = C₂³.₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	8-	C4.10C4^2.1C2	128,74
C₄.₁₀C₄².₂C₂ = C₂²⋊C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	4	C4.10C4^2.2C2	128,835
C₄.₁₀C₄².₃C₂ = C₈⋊C₄⋊₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	16	4	C4.10C4^2.3C2	128,573
C₄.₁₀C₄².₄C₂ = M₄(2).₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀C₄²	32	8-	C4.10C4^2.4C2	128,802
C₄.₁₀C₄².₅C₂ = C₈.₁₆C₄²	φ: trivial image	32	4	C4.10C4^2.5C2	128,479

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