Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₄₇D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₄₇D₄

		d	ρ	Label	ID
C₃×C₁₂.₄₇D₄		48	4	C3xC12.47D4	288,258

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₄₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₄₇D₄) = C₁₂.₇₁D₁₂	φ: C₁₂.₄₇D₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4-	C3:1(C12.47D4)	288,209
C₃⋊₂(C₁₂.₄₇D₄) = C₁₂.₂₀D₁₂	φ: C₁₂.₄₇D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144		C3:2(C12.47D4)	288,299
C₃⋊₃(C₁₂.₄₇D₄) = C₁₂.₁₄D₁₂	φ: C₁₂.₄₇D₄/C₂×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:3(C12.47D4)	288,208

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₄₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₄₇D₄) = C₄.D₃₆	φ: C₁₂.₄₇D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144	4-	C3.(C12.47D4)	288,30

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.47D4