Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄○D₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₄○D₈

		d	ρ	Label	ID
C₃²×C₄○D₈		144		C3^2xC4oD8	288,832

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄○D₈) = C₃×C₄○D₂₄	φ: C₃×C₄○D₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xC4oD8)	288,675
C₃⋊₂(C₃×C₄○D₈) = C₃×D₈⋊₃S₃	φ: C₃×C₄○D₈/C₃×D₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC4oD8)	288,683
C₃⋊₃(C₃×C₄○D₈) = C₃×Q₈.₇D₆	φ: C₃×C₄○D₈/C₃×SD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC4oD8)	288,687
C₃⋊₄(C₃×C₄○D₈) = C₃×D₂₄⋊C₂	φ: C₃×C₄○D₈/C₃×Q₁₆ → C₂ ⊆ Aut C₃	96	4	C3:4(C3xC4oD8)	288,690
C₃⋊₅(C₃×C₄○D₈) = C₃×Q₈.₁₃D₆	φ: C₃×C₄○D₈/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:5(C3xC4oD8)	288,721

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄○D₈) = C₉×C₄○D₈	central extension (φ=1)	144	2	C3.(C3xC4oD8)	288,185

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