Extensions 1→N→G→Q→1 with N=D₄ and Q=C₄²

Direct product G=N×Q with N=D₄ and Q=C₄²

		d	ρ	Label	ID
D₄×C₄²		64		D4xC4^2	128,1003

Semidirect products G=N:Q with N=D₄ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₄² = C₄×C₄≀C₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	32		D4:1C4^2	128,490
D₄⋊₂C₄² = C₄×D₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:2C4^2	128,492
D₄⋊₃C₄² = D₄⋊C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:3C4^2	128,494
D₄⋊₄C₄² = D₄⋊₄C₄²	φ: trivial image	64		D4:4C4^2	128,1007

Non-split extensions G=N.Q with N=D₄ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁C₄² = D₄.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	32		D4.1C4^2	128,491
D₄.₂C₄² = Q₈.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	32		D4.2C4^2	128,496
D₄.₃C₄² = D₄.₃C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₄	32		D4.3C4^2	128,497
D₄.₄C₄² = C₄×C₈○D₄	φ: trivial image	64		D4.4C4^2	128,1606
D₄.₅C₄² = D₄.₅C₄²	φ: trivial image	64		D4.5C4^2	128,1607

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