Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=C₄

Direct product G=N×Q with N=C₄.₁₀D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₄.₁₀D₄		64		C4xC4.10D4	128,488

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄⋊C₄ = C₄².₃D₄	φ: C₄/C₁ → C₄ ⊆ Out C₄.₁₀D₄	16	4	C4.10D4:C4	128,136
C₄.₁₀D₄⋊₂C₄ = C₄.₁₀D₄⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	32		C4.10D4:2C4	128,589
C₄.₁₀D₄⋊₃C₄ = C₄.₁₀D₄⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	64		C4.10D4:3C4	128,662
C₄.₁₀D₄⋊₄C₄ = C₄².₄₂₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	16	4	C4.10D4:4C4	128,664
C₄.₁₀D₄⋊₅C₄ = (C₂×Q₈).Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	32		C4.10D4:5C4	128,126
C₄.₁₀D₄⋊₆C₄ = (C₂²×C₈)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	32	4	C4.10D4:6C4	128,127
C₄.₁₀D₄⋊₇C₄ = C₂³.₅C₄²	φ: trivial image	32	4	C4.10D4:7C4	128,489

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.C₄ = C₄².₄D₄	φ: C₄/C₁ → C₄ ⊆ Out C₄.₁₀D₄	16	4-	C4.10D4.C4	128,137
C₄.₁₀D₄.₂C₄ = M₄(2).₄₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.₁₀D₄	32	4	C4.10D4.2C4	128,590

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