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	288,659

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊Q₈) = C₁₂⋊₃Dic₆	φ: C₁₂⋊Q₈/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C12:Q8)	288,566
C₃⋊₂(C₁₂⋊Q₈) = C₆².₁₀C₂³	φ: C₁₂⋊Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C12:Q8)	288,488
C₃⋊₃(C₁₂⋊Q₈) = C₁₂⋊Dic₆	φ: C₁₂⋊Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:3(C12:Q8)	288,567
C₃⋊₄(C₁₂⋊Q₈) = C₁₂⋊₂Dic₆	φ: C₁₂⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3:4(C12:Q8)	288,745
C₃⋊₅(C₁₂⋊Q₈) = C₆².₉C₂³	φ: C₁₂⋊Q₈/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:5(C12:Q8)	288,487

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) = C₃₆⋊Q₈	φ: C₁₂⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3.(C12:Q8)	288,98

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