Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₆

Direct product G=N×Q with N=C₄○D₁₂ and Q=C₆

		d	ρ	Label	ID
C₆×C₄○D₁₂		48		C6xC4oD12	288,991

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁C₆ = C₃×C₄○D₂₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	2	C4oD12:1C6	288,675
C₄○D₁₂⋊₂C₆ = C₃×C₈⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:2C6	288,679
C₄○D₁₂⋊₃C₆ = C₃×D₁₂⋊₆C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12:3C6	288,703
C₄○D₁₂⋊₄C₆ = C₃×Q₈.₁₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:4C6	288,721
C₄○D₁₂⋊₅C₆ = C₃×D₄⋊₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12:5C6	288,994
C₄○D₁₂⋊₆C₆ = C₃×Q₈.₁₅D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:6C6	288,997
C₄○D₁₂⋊₇C₆ = C₃×S₃×C₄○D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:7C6	288,998
C₄○D₁₂⋊₈C₆ = C₃×D₄○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:8C6	288,999
C₄○D₁₂⋊₉C₆ = C₃×Q₈○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:9C6	288,1000

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁C₆ = C₃×C₄²⋊₄S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	24	2	C4oD12.1C6	288,239
C₄○D₁₂.₂C₆ = C₃×D₁₂⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.2C6	288,259
C₄○D₁₂.₃C₆ = C₃×D₁₂.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.3C6	288,678
C₄○D₁₂.₄C₆ = C₃×C₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.4C6	288,680
C₄○D₁₂.₅C₆ = C₃×Q₈.₁₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.5C6	288,713
C₄○D₁₂.₆C₆ = C₃×C₈○D₁₂	φ: trivial image	48	2	C4oD12.6C6	288,672

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