Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×D₇

Direct product G=N×Q with N=C₂³ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂³ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃×D₇) = C₂×A₄×D₇	φ: C₃×D₇/D₇ → C₃ ⊆ Aut C₂³	42	6+	C2^3:(C3xD7)	336,217
C₂³⋊₂(C₃×D₇) = C₆×C₇⋊D₄	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3:2(C3xD7)	336,183

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃×D₇) = A₄×Dic₇	φ: C₃×D₇/D₇ → C₃ ⊆ Aut C₂³	84	6-	C2^3.(C3xD7)	336,133
C₂³.₂(C₃×D₇) = C₃×C₂³.D₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3.2(C3xD7)	336,73
C₂³.₃(C₃×D₇) = C₂×C₆×Dic₇	central extension (φ=1)	336		C2^3.3(C3xD7)	336,182

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Extensions 1→N→G→Q→1 with N=C23 and Q=C3×D7