Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂⁴⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₂⁴⋊C₆

		d	ρ	Label	ID
C₃×C₂⁴⋊C₆		24	6	C3xC2^4:C6	288,634

Semidirect products G=N:Q with N=C₃ and Q=C₂⁴⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂⁴⋊C₆) = (C₂²×S₃)⋊A₄	φ: C₂⁴⋊C₆/C₂²⋊A₄ → C₂ ⊆ Aut C₃	24	6	C3:(C2^4:C6)	288,411

Non-split extensions G=N.Q with N=C₃ and Q=C₂⁴⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂⁴⋊C₆) = C₂⁴⋊C₁₈	central extension (φ=1)	36	6	C3.(C2^4:C6)	288,73

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Extensions 1→N→G→Q→1 with N=C3 and Q=C24⋊C6