Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄○D₂₄

Direct product G=N×Q with N=C₃ and Q=C₄○D₂₄

		d	ρ	Label	ID
C₃×C₄○D₂₄		48	2	C3xC4oD24	288,675

Semidirect products G=N:Q with N=C₃ and Q=C₄○D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄○D₂₄) = D₆.₁D₁₂	φ: C₄○D₂₄/C₂₄⋊C₂ → C₂ ⊆ Aut C₃	48	4	C3:1(C4oD24)	288,454
C₃⋊₂(C₄○D₂₄) = D₂₄⋊₇S₃	φ: C₄○D₂₄/D₂₄ → C₂ ⊆ Aut C₃	96	4-	C3:2(C4oD24)	288,455
C₃⋊₃(C₄○D₂₄) = D₆.₃D₁₂	φ: C₄○D₂₄/Dic₁₂ → C₂ ⊆ Aut C₃	48	4+	C3:3(C4oD24)	288,456
C₃⋊₄(C₄○D₂₄) = C₂₄.₇₈D₆	φ: C₄○D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3:4(C4oD24)	288,761
C₃⋊₅(C₄○D₂₄) = D₁₂.₂₇D₆	φ: C₄○D₂₄/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:5(C4oD24)	288,477

Non-split extensions G=N.Q with N=C₃ and Q=C₄○D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄○D₂₄) = D₇₂⋊₇C₂	φ: C₄○D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.(C4oD24)	288,115

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