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

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

		d	ρ	Label	ID
C₄×C₄.D₄		32		C4xC4.D4	128,487

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊C₄ = C₄².D₄	φ: C₄/C₁ → C₄ ⊆ Out C₄.D₄	16	4+	C4.D4:C4	128,134
C₄.D₄⋊₂C₄ = C₂⁴.₂₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	32		C4.D4:2C4	128,588
C₄.D₄⋊₃C₄ = C₄.D₄⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	32		C4.D4:3C4	128,663
C₄.D₄⋊₄C₄ = C₄².₄₂₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	16	4	C4.D4:4C4	128,664
C₄.D₄⋊₅C₄ = C₂⁴.₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	32		C4.D4:5C4	128,122
C₄.D₄⋊₆C₄ = C₂³.₅C₄²	φ: trivial image	32	4	C4.D4:6C4	128,489

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.C₄ = C₄².₂D₄	φ: C₄/C₁ → C₄ ⊆ Out C₄.D₄	16	4	C4.D4.C4	128,135
C₄.D₄.₂C₄ = M₄(2).₄₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	32	4	C4.D4.2C4	128,590
C₄.D₄.₃C₄ = C₂³.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄.D₄	32	4	C4.D4.3C4	128,124

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