Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃.A₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₃.A₄

		d	ρ	Label	ID
C₆×C₃.A₄		54		C6xC3.A4	216,105

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₃.A₄) = S₃×C₃.A₄	φ: C₂×C₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₃	36	6	C3:(C2xC3.A4)	216,98

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃.A₄) = C₂×C₉.A₄	central extension (φ=1)	54	3	C3.(C2xC3.A4)	216,22

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3.A4