Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊₂Q₈

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊₂Q₈

		d	ρ	Label	ID
C₃×C₁₂⋊₂Q₈		96		C3xC12:2Q8	288,640

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊₂Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₁₂⋊₂Q₈) = C₁₂⋊₃Dic₆	φ: C₁₂⋊₂Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96	C3:1(C12:2Q8)	288,566
C₃⋊₂(C₁₂⋊₂Q₈) = C₁₂⋊₆Dic₆	φ: C₁₂⋊₂Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288	C3:2(C12:2Q8)	288,726
C₃⋊₃(C₁₂⋊₂Q₈) = Dic₃⋊Dic₆	φ: C₁₂⋊₂Q₈/C₂×Dic₆ → C₂ ⊆ Aut C₃	96	C3:3(C12:2Q8)	288,514

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊₂Q₈) = C₃₆⋊₂Q₈	φ: C₁₂⋊₂Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C12:2Q8)	288,79

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12⋊2Q8