Extensions 1→N→G→Q→1 with N=C₃×C₃⋊D₄ and Q=C₆

Direct product G=N×Q with N=C₃×C₃⋊D₄ and Q=C₆

		d	ρ	Label	ID
C₃×C₆×C₃⋊D₄		72		C3xC6xC3:D4	432,709

Semidirect products G=N:Q with N=C₃×C₃⋊D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊D₄)⋊₁C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	24	4	(C3xC3:D4):1C6	432,652
(C₃×C₃⋊D₄)⋊₂C₆ = C₃×D₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	24	4	(C3xC3:D4):2C6	432,653
(C₃×C₃⋊D₄)⋊₃C₆ = C₃×S₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	24	4	(C3xC3:D4):3C6	432,658
(C₃×C₃⋊D₄)⋊₄C₆ = C₃×Dic₃⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	24	4	(C3xC3:D4):4C6	432,659
(C₃×C₃⋊D₄)⋊₅C₆ = S₃×D₄×C₃²	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	72		(C3xC3:D4):5C6	432,704
(C₃×C₃⋊D₄)⋊₆C₆ = C₃²×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	72		(C3xC3:D4):6C6	432,705
(C₃×C₃⋊D₄)⋊₇C₆ = C₃²×C₄○D₁₂	φ: trivial image	72		(C3xC3:D4):7C6	432,703

Non-split extensions G=N.Q with N=C₃×C₃⋊D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊D₄).₁C₆ = S₃×D₄×C₉	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	72	4	(C3xC3:D4).1C6	432,358
(C₃×C₃⋊D₄).₂C₆ = C₉×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×C₃⋊D₄	72	4	(C3xC3:D4).2C6	432,359
(C₃×C₃⋊D₄).₃C₆ = C₉×C₄○D₁₂	φ: trivial image	72	2	(C3xC3:D4).3C6	432,347
(C₃×C₃⋊D₄).₄C₆ = C₁₈×C₃⋊D₄	φ: trivial image	72		(C3xC3:D4).4C6	432,375

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