Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈.₆D₆

Direct product G=N×Q with N=C₃ and Q=C₈.₆D₆

		d	ρ	Label	ID
C₃×C₈.₆D₆		96	4	C3xC8.6D6	288,262

Semidirect products G=N:Q with N=C₃ and Q=C₈.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈.₆D₆) = C₂₄.₄₉D₆	φ: C₈.₆D₆/C₃⋊C₁₆ → C₂ ⊆ Aut C₃	48	4+	C3:1(C8.6D6)	288,197
C₃⋊₂(C₈.₆D₆) = D₂₄.S₃	φ: C₈.₆D₆/D₂₄ → C₂ ⊆ Aut C₃	96	4	C3:2(C8.6D6)	288,195
C₃⋊₃(C₈.₆D₆) = C₃²⋊₁₀SD₃₂	φ: C₈.₆D₆/C₃×Q₁₆ → C₂ ⊆ Aut C₃	144		C3:3(C8.6D6)	288,303

Non-split extensions G=N.Q with N=C₃ and Q=C₈.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₈.₆D₆) = C₉⋊SD₃₂	φ: C₈.₆D₆/C₃×Q₁₆ → C₂ ⊆ Aut C₃	144	4+	C3.(C8.6D6)	288,35

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Extensions 1→N→G→Q→1 with N=C3 and Q=C8.6D6