Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₈D₆

Direct product G=NxQ with N=C₃ and Q=C₂³.₂₈D₆

		d	ρ	Label	ID
C₃xC₂³.₂₈D₆		48		C3xC2^3.28D6	288,700

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂³.₂₈D₆) = C₆².₂₀C₂³	φ: C₂³.₂₈D₆/Dic₃:C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.28D6)	288,498
C₃:₂(C₂³.₂₈D₆) = C₆².₇₅C₂³	φ: C₂³.₂₈D₆/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.28D6)	288,553
C₃:₃(C₂³.₂₈D₆) = C₆².₆₀D₄	φ: C₂³.₂₈D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.28D6)	288,614
C₃:₄(C₂³.₂₈D₆) = C₆².₅₆D₄	φ: C₂³.₂₈D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.28D6)	288,609
C₃:₅(C₂³.₂₈D₆) = C₆².₁₂₉D₄	φ: C₂³.₂₈D₆/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.28D6)	288,786

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₂₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₂₈D₆) = C₂³.₂₈D₁₈	φ: C₂³.₂₈D₆/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2^3.28D6)	288,139

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