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

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

		d	ρ	Label	ID
C₂×C₄².C₄		32		C2xC4^2.C4	128,862

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₄⋊₁C₂ = C₄².₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	16	8+	C4^2.C4:1C2	128,934
C₄².C₄⋊₂C₂ = C₄².₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	32	8-	C4^2.C4:2C2	128,935
C₄².C₄⋊₃C₂ = C₄².₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	16	4	C4^2.C4:3C2	128,936
C₄².C₄⋊₄C₂ = C₄².₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	16	4	C4^2.C4:4C2	128,135
C₄².C₄⋊₅C₂ = C₈⋊C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	16	8+	C4^2.C4:5C2	128,138
C₄².C₄⋊₆C₂ = C₄⋊Q₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	32	8-	C4^2.C4:6C2	128,865
C₄².C₄⋊₇C₂ = C₄⋊₁D₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	16	8+	C4^2.C4:7C2	128,866
C₄².C₄⋊₈C₂ = (C₂×D₄).₁₃₅D₄	φ: trivial image	16	4	C4^2.C4:8C2	128,864

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₄.₁C₂ = (C₂×D₄).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	32	8-	C4^2.C4.1C2	128,139
C₄².C₄.₂C₂ = (C₄×C₈)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₄	32	4	C4^2.C4.2C2	128,146

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