Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×M₄(2)

Direct product G=N×Q with N=C₃ and Q=C₆×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃×C₆		144		M4(2)xC3xC6	288,827

Semidirect products G=N:Q with N=C₃ and Q=C₆×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×M₄(2)) = C₆×C₈⋊S₃	φ: C₆×M₄(2)/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xM4(2))	288,671
C₃⋊₂(C₆×M₄(2)) = C₃×S₃×M₄(2)	φ: C₆×M₄(2)/C₃×M₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C6xM4(2))	288,677
C₃⋊₃(C₆×M₄(2)) = C₆×C₄.Dic₃	φ: C₆×M₄(2)/C₂²×C₁₂ → C₂ ⊆ Aut C₃	48		C3:3(C6xM4(2))	288,692

Non-split extensions G=N.Q with N=C₃ and Q=C₆×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×M₄(2)) = M₄(2)×C₁₈	central extension (φ=1)	144		C3.(C6xM4(2))	288,180

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×M4(2)