Extensions 1→N→G→Q→1 with N=C₂×C₄²⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₄²⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₄²⋊C₃		24		C2^2xC4^2:C3	192,992

Semidirect products G=N:Q with N=C₂×C₄²⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄²⋊C₃)⋊₁C₂ = C₂×C₄²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	24	6	(C2xC4^2:C3):1C2	192,1001
(C₂×C₄²⋊C₃)⋊₂C₂ = C₂×C₂³.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	12	6+	(C2xC4^2:C3):2C2	192,1002
(C₂×C₄²⋊C₃)⋊₃C₂ = C₂×C₄²⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	12	3	(C2xC4^2:C3):3C2	192,944

Non-split extensions G=N.Q with N=C₂×C₄²⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄²⋊C₃).₁C₂ = C₄²⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	24	6	(C2xC4^2:C3).1C2	192,192
(C₂×C₄²⋊C₃).₂C₂ = C₄²⋊₂C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	24	6-	(C2xC4^2:C3).2C2	192,193
(C₂×C₄²⋊C₃).₃C₂ = C₂³.₉S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄²⋊C₃	12	3	(C2xC4^2:C3).3C2	192,182
(C₂×C₄²⋊C₃).₄C₂ = C₄×C₄²⋊C₃	φ: trivial image	12	3	(C2xC4^2:C3).4C2	192,188

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