Extensions 1→N→G→Q→1 with N=C₃xC₃:D₄ and Q=C₆

Direct product G=NxQ with N=C₃xC₃:D₄ and Q=C₆

		d	ρ	Label	ID
C₃xC₆xC₃:D₄		72		C3xC6xC3:D4	432,709

Semidirect products G=N:Q with N=C₃xC₃:D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:D₄):₁C₆ = C₃xD₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	24	4	(C3xC3:D4):1C6	432,652
(C₃xC₃:D₄):₂C₆ = C₃xD₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	24	4	(C3xC3:D4):2C6	432,653
(C₃xC₃:D₄):₃C₆ = C₃xS₃xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	24	4	(C3xC3:D4):3C6	432,658
(C₃xC₃:D₄):₄C₆ = C₃xDic₃:D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	24	4	(C3xC3:D4):4C6	432,659
(C₃xC₃:D₄):₅C₆ = S₃xD₄xC₃²	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	72		(C3xC3:D4):5C6	432,704
(C₃xC₃:D₄):₆C₆ = C₃²xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	72		(C3xC3:D4):6C6	432,705
(C₃xC₃:D₄):₇C₆ = C₃²xC₄oD₁₂	φ: trivial image	72		(C3xC3:D4):7C6	432,703

Non-split extensions G=N.Q with N=C₃xC₃:D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:D₄).₁C₆ = S₃xD₄xC₉	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	72	4	(C3xC3:D4).1C6	432,358
(C₃xC₃:D₄).₂C₆ = C₉xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₃:D₄	72	4	(C3xC3:D4).2C6	432,359
(C₃xC₃:D₄).₃C₆ = C₉xC₄oD₁₂	φ: trivial image	72	2	(C3xC3:D4).3C6	432,347
(C₃xC₃:D₄).₄C₆ = C₁₈xC₃:D₄	φ: trivial image	72		(C3xC3:D4).4C6	432,375

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