Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂:₇D₄

Direct product G=NxQ with N=C₃ and Q=C₁₂:₇D₄

		d	ρ	Label	ID
C₃xC₁₂:₇D₄		48		C3xC12:7D4	288,701

Semidirect products G=N:Q with N=C₃ and Q=C₁₂:₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₁₂:₇D₄) = C₁₂:₇D₁₂	φ: C₁₂:₇D₄/C₄:Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C12:7D4)	288,557
C₃:₂(C₁₂:₇D₄) = D₆:D₁₂	φ: C₁₂:₇D₄/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:2(C12:7D4)	288,554
C₃:₃(C₁₂:₇D₄) = D₆:₂D₁₂	φ: C₁₂:₇D₄/C₂xD₁₂ → C₂ ⊆ Aut C₃	96		C3:3(C12:7D4)	288,556
C₃:₄(C₁₂:₇D₄) = C₆²:₆D₄	φ: C₁₂:₇D₄/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:4(C12:7D4)	288,626
C₃:₅(C₁₂:₇D₄) = C₆²:₁₉D₄	φ: C₁₂:₇D₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3:5(C12:7D4)	288,787

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂:₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂:₇D₄) = C₃₆:₇D₄	φ: C₁₂:₇D₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3.(C12:7D4)	288,140

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