Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₄²

Direct product G=N×Q with N=Q₈ and Q=C₄²

		d	ρ	Label	ID
Q₈×C₄²		128		Q8xC4^2	128,1004

Semidirect products G=N:Q with N=Q₈ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁C₄² = C₄×C₄≀C₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Q₈	32		Q8:1C4^2	128,490
Q₈⋊₂C₄² = C₄×Q₈⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Q₈	128		Q8:2C4^2	128,493
Q₈⋊₃C₄² = Q₈⋊C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Q₈	128		Q8:3C4^2	128,495
Q₈⋊₄C₄² = Q₈⋊₄C₄²	φ: trivial image	128		Q8:4C4^2	128,1008

Non-split extensions G=N.Q with N=Q₈ and Q=C₄²

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

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