Extensions 1→N→G→Q→1 with N=C₂xC₃²:C₄ and Q=C₂

Direct product G=NxQ with N=C₂xC₃²:C₄ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃²:C₄		24		C2^2xC3^2:C4	144,191

Semidirect products G=N:Q with N=C₂xC₃²:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₄):₁C₂ = S₃²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	12	4+	(C2xC3^2:C4):1C2	144,115
(C₂xC₃²:C₄):₂C₂ = C₆²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	12	4+	(C2xC3^2:C4):2C2	144,136
(C₂xC₃²:C₄):₃C₂ = C₂xS₃wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	12	4+	(C2xC3^2:C4):3C2	144,186

Non-split extensions G=N.Q with N=C₂xC₃²:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₄).₁C₂ = C₃:S₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	24	4	(C2xC3^2:C4).1C2	144,116
(C₂xC₃²:C₄).₂C₂ = C₂.PSU₃(F₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	24	8+	(C2xC3^2:C4).2C2	144,120
(C₂xC₃²:C₄).₃C₂ = C₄:(C₃²:C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	24	4	(C2xC3^2:C4).3C2	144,133
(C₂xC₃²:C₄).₄C₂ = C₂xF₉	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	18	8+	(C2xC3^2:C4).4C2	144,185
(C₂xC₃²:C₄).₅C₂ = C₂xPSU₃(F₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:C₄	18	8+	(C2xC3^2:C4).5C2	144,187
(C₂xC₃²:C₄).₆C₂ = C₄xC₃²:C₄	φ: trivial image	24	4	(C2xC3^2:C4).6C2	144,132

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