Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₆D₆

Direct product G=N×Q with N=C₃ and Q=D₄⋊₆D₆

		d	ρ	Label	ID
C₃×D₄⋊₆D₆		24	4	C3xD4:6D6	288,994

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₆D₆) = D₁₂⋊₂₄D₆	φ: D₄⋊₆D₆/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(D4:6D6)	288,955
C₃⋊₂(D₄⋊₆D₆) = D₁₂⋊₁₂D₆	φ: D₄⋊₆D₆/S₃×D₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(D4:6D6)	288,961
C₃⋊₃(D₄⋊₆D₆) = D₁₂⋊₁₃D₆	φ: D₄⋊₆D₆/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	24	8+	C3:3(D4:6D6)	288,962
C₃⋊₄(D₄⋊₆D₆) = C₃²⋊2₊¹⁺⁴	φ: D₄⋊₆D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(D4:6D6)	288,978
C₃⋊₅(D₄⋊₆D₆) = C₃²⋊₈2₊¹⁺⁴	φ: D₄⋊₆D₆/C₆×D₄ → C₂ ⊆ Aut C₃	72		C3:5(D4:6D6)	288,1009

Non-split extensions G=N.Q with N=C₃ and Q=D₄⋊₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄⋊₆D₆) = D₄⋊₆D₁₈	φ: D₄⋊₆D₆/C₆×D₄ → C₂ ⊆ Aut C₃	72	4	C3.(D4:6D6)	288,358

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