Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊S₄

Direct product G=N×Q with N=C₃ and Q=C₄⋊S₄

		d	ρ	Label	ID
C₃×C₄⋊S₄		36	6	C3xC4:S4	288,898

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊S₄) = C₁₂⋊S₄	φ: C₄⋊S₄/C₄×A₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(C4:S4)	288,909
C₃⋊₂(C₄⋊S₄) = Dic₃⋊S₄	φ: C₄⋊S₄/C₂×S₄ → C₂ ⊆ Aut C₃	36	6	C3:2(C4:S4)	288,855

Non-split extensions G=N.Q with N=C₃ and Q=C₄⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄⋊S₄) = C₂²⋊D₃₆	φ: C₄⋊S₄/C₄×A₄ → C₂ ⊆ Aut C₃	36	6+	C3.(C4:S4)	288,334

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C4⋊S4