Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₁D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₁D₆

		d	ρ	Label	ID
C₃×C₂³.₂₁D₆		48		C3xC2^3.21D6	288,657

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₁D₆) = D₆.D₁₂	φ: C₂³.₂₁D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.21D6)	288,538
C₃⋊₂(C₂³.₂₁D₆) = D₆.₉D₁₂	φ: C₂³.₂₁D₆/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.21D6)	288,539
C₃⋊₃(C₂³.₂₁D₆) = C₆².₆₉D₄	φ: C₂³.₂₁D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:3(C2^3.21D6)	288,743
C₃⋊₄(C₂³.₂₁D₆) = C₆².₆₀D₄	φ: C₂³.₂₁D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.21D6)	288,614
C₃⋊₅(C₂³.₂₁D₆) = C₆².₅₇D₄	φ: C₂³.₂₁D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2^3.21D6)	288,610

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₂₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₂₁D₆) = C₂².₄D₃₆	φ: C₂³.₂₁D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.21D6)	288,96

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