Extensions 1→N→G→Q→1 with N=C₆².C₄ and Q=C₂

Direct product G=N×Q with N=C₆².C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆².C₄		48		C2xC6^2.C4	288,940

Semidirect products G=N:Q with N=C₆².C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆².C₄⋊₁C₂ = C₆².₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	24	4	C6^2.C4:1C2	288,884
C₆².C₄⋊₂C₂ = C₆².₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	48	4-	C6^2.C4:2C2	288,887
C₆².C₄⋊₃C₂ = Dic₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	24	4-	C6^2.C4:3C2	288,389
C₆².C₄⋊₄C₂ = (C₂×C₆²).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	24	4	C6^2.C4:4C2	288,436
C₆².C₄⋊₅C₂ = C₆².(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	48	8-	C6^2.C4:5C2	288,935
C₆².C₄⋊₆C₂ = C₃⋊S₃⋊M₄(2)	φ: trivial image	24	4	C6^2.C4:6C2	288,931

Non-split extensions G=N.Q with N=C₆².C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆².C₄.₁C₂ = C₆².₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	48	8-	C6^2.C4.1C2	288,396
C₆².C₄.₂C₂ = C₃⋊Dic₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆².C₄	48	4-	C6^2.C4.2C2	288,428

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