Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₈D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₈D₆

		d	ρ	Label	ID
C₃×C₂³.₈D₆		48		C3xC2^3.8D6	288,650

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₈D₆) = C₆².₂₉C₂³	φ: C₂³.₈D₆/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.8D6)	288,507
C₃⋊₂(C₂³.₈D₆) = C₆².₃₁C₂³	φ: C₂³.₈D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.8D6)	288,509
C₃⋊₃(C₂³.₈D₆) = C₆².₃₂C₂³	φ: C₂³.₈D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.8D6)	288,510
C₃⋊₄(C₂³.₈D₆) = C₆².₂₈C₂³	φ: C₂³.₈D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:4(C2^3.8D6)	288,506
C₃⋊₅(C₂³.₈D₆) = C₆².₉₈C₂³	φ: C₂³.₈D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2^3.8D6)	288,604
C₃⋊₆(C₂³.₈D₆) = C₆².₂₂₃C₂³	φ: C₂³.₈D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:6(C2^3.8D6)	288,736

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₈D₆) = C₂³.₈D₁₈	φ: C₂³.₈D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.8D6)	288,89

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