Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊S₄

Direct product G=N×Q with N=C₃ and Q=C₂²⋊S₄

		d	ρ	Label	ID
C₃×C₂²⋊S₄		24	6	C3xC2^2:S4	288,1035

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²⋊S₄) = (C₂×C₆)⋊S₄	φ: C₂²⋊S₄/C₂²⋊A₄ → C₂ ⊆ Aut C₃	24	6	C3:(C2^2:S4)	288,1036

Non-split extensions G=N.Q with N=C₃ and Q=C₂²⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²⋊S₄) = C₂⁴⋊D₉	φ: C₂²⋊S₄/C₂²⋊A₄ → C₂ ⊆ Aut C₃	36	6	C3.(C2^2:S4)	288,836

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22⋊S4