Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₆Q₈

Direct product G=N×Q with N=C₃ and Q=C₁₂.₆Q₈

		d	ρ	Label	ID
C₃×C₁₂.₆Q₈		96		C3xC12.6Q8	288,641

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₆Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₁₂.₆Q₈) = C₆².₃₇C₂³	φ: C₁₂.₆Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96	C3:1(C12.6Q8)	288,515
C₃⋊₂(C₁₂.₆Q₈) = C₆².₃₉C₂³	φ: C₁₂.₆Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(C12.6Q8)	288,517
C₃⋊₃(C₁₂.₆Q₈) = C₁₂.₂₅Dic₆	φ: C₁₂.₆Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288	C3:3(C12.6Q8)	288,727

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₆Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₆Q₈) = C₃₆.₆Q₈	φ: C₁₂.₆Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C12.6Q8)	288,80

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.6Q8