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		24		C2xC6^2:C4	288,941

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₆²⋊C₄⋊₁C₂ = C₆².₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	4+	C6^2:C4:1C2	288,386
C₆²⋊C₄⋊₂C₂ = (C₆×C₁₂)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	4+	C6^2:C4:2C2	288,422
C₆²⋊C₄⋊₃C₂ = (C₂×C₆²)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	4	C6^2:C4:3C2	288,434
C₆²⋊C₄⋊₄C₂ = C₆².₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	4	C6^2:C4:4C2	288,881
C₆²⋊C₄⋊₅C₂ = D₆≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	12	4+	C6^2:C4:5C2	288,889
C₆²⋊C₄⋊₆C₂ = D₄×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	8+	C6^2:C4:6C2	288,936

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₆²⋊C₄.C₂ = C₆²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊C₄	24	8+	C6^2:C4.C2	288,895
C₆²⋊C₄.₂C₂ = (C₆×C₁₂)⋊₅C₄	φ: trivial image	24	4	C6^2:C4.2C2	288,934

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