Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₂²⋊A₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₂²⋊A₄

		d	ρ	Label	ID
C₆×C₂²⋊A₄		36		C6xC2^2:A4	288,1042

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₂²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₂²⋊A₄) = S₃×C₂²⋊A₄	φ: C₂×C₂²⋊A₄/C₂²⋊A₄ → C₂ ⊆ Aut C₃	36		C3:(C2xC2^2:A4)	288,1038

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₂²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₂²⋊A₄) = C₂×C₂⁴⋊C₉	central extension (φ=1)	36		C3.(C2xC2^2:A4)	288,838

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C22⋊A4