Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄≀C₂

Direct product G=N×Q with N=C₃ and Q=C₄≀C₂

		d	ρ	Label	ID
C₃×C₄≀C₂		24	2	C3xC4wrC2	96,54

Semidirect products G=N:Q with N=C₃ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁C₄≀C₂ = C₄²⋊₄S₃	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₃	24	2	C3:1C4wrC2	96,12
C₃⋊₂C₄≀C₂ = D₁₂⋊C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₃	24	4	C3:2C4wrC2	96,32
C₃⋊₃C₄≀C₂ = Q₈⋊₃Dic₃	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₃	24	4	C3:3C4wrC2	96,44

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