Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.Q₈

Direct product G=N×Q with N=C₃ and Q=C₁₂.Q₈

		d	ρ	Label	ID
C₃×C₁₂.Q₈		96		C3xC12.Q8	288,242

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₁₂.Q₈) = C₁₂.Dic₆	φ: C₁₂.Q₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96	C3:1(C12.Q8)	288,221
C₃⋊₂(C₁₂.Q₈) = C₁₂.₆Dic₆	φ: C₁₂.Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(C12.Q8)	288,222
C₃⋊₃(C₁₂.Q₈) = C₁₂.₁₀Dic₆	φ: C₁₂.Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288	C3:3(C12.Q8)	288,283

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.Q₈) = C₄.Dic₁₈	φ: C₁₂.Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3.(C12.Q8)	288,15

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.Q8