Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₂×C₆

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×C₃⋊D₄		48		C2xC6xC3:D4	288,1002

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁(C₂×C₆) = S₃×C₆×D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:1(C2xC6)	288,992
C₃⋊D₄⋊₂(C₂×C₆) = C₆×D₄⋊₂S₃	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48		C3:D4:2(C2xC6)	288,993
C₃⋊D₄⋊₃(C₂×C₆) = C₃×D₄⋊₆D₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	24	4	C3:D4:3(C2xC6)	288,994
C₃⋊D₄⋊₄(C₂×C₆) = C₃×S₃×C₄○D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48	4	C3:D4:4(C2xC6)	288,998
C₃⋊D₄⋊₅(C₂×C₆) = C₃×D₄○D₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48	4	C3:D4:5(C2xC6)	288,999
C₃⋊D₄⋊₆(C₂×C₆) = C₆×C₄○D₁₂	φ: trivial image	48		C3:D4:6(C2xC6)	288,991

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.(C₂×C₆) = C₃×Q₈○D₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃⋊D₄	48	4	C3:D4.(C2xC6)	288,1000
C₃⋊D₄.₂(C₂×C₆) = C₃×Q₈.₁₅D₆	φ: trivial image	48	4	C3:D4.2(C2xC6)	288,997

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