Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₆.D₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₆.D₄

		d	ρ	Label	ID
C₆×C₆.D₄		48		C6xC6.D4	288,723

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₆.D₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₂×C₆.D₄) = S₃×C₆.D₄	φ: C₂×C₆.D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48	C3:1(C2xC6.D4)	288,616
C₃⋊₂(C₂×C₆.D₄) = C₂×D₆⋊Dic₃	φ: C₂×C₆.D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(C2xC6.D4)	288,608
C₃⋊₃(C₂×C₆.D₄) = C₂×C₆²⋊₅C₄	φ: C₂×C₆.D₄/C₂³×C₆ → C₂ ⊆ Aut C₃	144	C3:3(C2xC6.D4)	288,809

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₆.D₄) = C₂×C₁₈.D₄	φ: C₂×C₆.D₄/C₂³×C₆ → C₂ ⊆ Aut C₃	144		C3.(C2xC6.D4)	288,162

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C6.D4