Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊C₄

Direct product G=N×Q with N=C₃ and Q=D₆⋊C₄

		d	ρ	Label	ID
C₃×D₆⋊C₄		48		C3xD6:C4	144,79

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊C₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(D₆⋊C₄) = C₆.D₁₂	φ: D₆⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₃	24	C3:1(D6:C4)	144,65
C₃⋊₂(D₆⋊C₄) = C₆.₁₁D₁₂	φ: D₆⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	72	C3:2(D6:C4)	144,95
C₃⋊₃(D₆⋊C₄) = D₆⋊Dic₃	φ: D₆⋊C₄/C₂²×S₃ → C₂ ⊆ Aut C₃	48	C3:3(D6:C4)	144,64

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊C₄) = D₁₈⋊C₄	φ: D₆⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₃	72		C3.(D6:C4)	144,14

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Extensions 1→N→G→Q→1 with N=C3 and Q=D6⋊C4