Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₉D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₉D₆

		d	ρ	Label	ID
C₃×C₂³.₉D₆		48		C3xC2^3.9D6	288,654

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₉D₆) = C₆².₂₃C₂³	φ: C₂³.₉D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.9D6)	288,501
C₃⋊₂(C₂³.₉D₆) = C₆².₂₄C₂³	φ: C₂³.₉D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C2^3.9D6)	288,502
C₃⋊₃(C₂³.₉D₆) = D₆.₉D₁₂	φ: C₂³.₉D₆/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.9D6)	288,539
C₃⋊₄(C₂³.₉D₆) = C₆².₁₁₇C₂³	φ: C₂³.₉D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.9D6)	288,623
C₃⋊₅(C₂³.₉D₆) = C₆².₂₂₇C₂³	φ: C₂³.₉D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.9D6)	288,740
C₃⋊₆(C₂³.₉D₆) = C₆².₇₅C₂³	φ: C₂³.₉D₆/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:6(C2^3.9D6)	288,553
C₃⋊₇(C₂³.₉D₆) = C₆².₁₁₁C₂³	φ: C₂³.₉D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:7(C2^3.9D6)	288,617

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₉D₆) = C₂³.₉D₁₈	φ: C₂³.₉D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.9D6)	288,93

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