Extensions 1→N→G→Q→1 with N=Dic₃⋊D₆ and Q=C₂

Direct product G=N×Q with N=Dic₃⋊D₆ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃⋊D₆		24		C2xDic3:D6	288,977

Semidirect products G=N:Q with N=Dic₃⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊D₆⋊₁C₂ = D₆≀C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	12	4+	Dic3:D6:1C2	288,889
Dic₃⋊D₆⋊₂C₂ = C₆²⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	8+	Dic3:D6:2C2	288,890
Dic₃⋊D₆⋊₃C₂ = D₁₂⋊₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	4+	Dic3:D6:3C2	288,956
Dic₃⋊D₆⋊₄C₂ = S₃²×D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	8+	Dic3:D6:4C2	288,958
Dic₃⋊D₆⋊₅C₂ = Dic₆⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	8+	Dic3:D6:5C2	288,960
Dic₃⋊D₆⋊₆C₂ = D₁₂⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	8+	Dic3:D6:6C2	288,962
Dic₃⋊D₆⋊₇C₂ = C₃²⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	4	Dic3:D6:7C2	288,978
Dic₃⋊D₆⋊₈C₂ = D₁₂⋊₂₃D₆	φ: trivial image	24	4	Dic3:D6:8C2	288,954

Non-split extensions G=N.Q with N=Dic₃⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊D₆.₁C₂ = C₆².₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	4+	Dic3:D6.1C2	288,386
Dic₃⋊D₆.₂C₂ = C₆².₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊D₆	24	4	Dic3:D6.2C2	288,881

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