Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄×D₇

Direct product G=N×Q with N=C₃ and Q=C₂×C₄×D₇

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄×D₇) = C₄×S₃×D₇	φ: C₂×C₄×D₇/C₄×D₇ → C₂ ⊆ Aut C₃	84	4	C3:1(C2xC4xD7)	336,147
C₃⋊₂(C₂×C₄×D₇) = C₂×D₂₁⋊C₄	φ: C₂×C₄×D₇/C₂×Dic₇ → C₂ ⊆ Aut C₃	168		C3:2(C2xC4xD7)	336,156
C₃⋊₃(C₂×C₄×D₇) = C₂×C₄×D₂₁	φ: C₂×C₄×D₇/C₂×C₂₈ → C₂ ⊆ Aut C₃	168		C3:3(C2xC4xD7)	336,195
C₃⋊₄(C₂×C₄×D₇) = C₂×Dic₃×D₇	φ: C₂×C₄×D₇/C₂²×D₇ → C₂ ⊆ Aut C₃	168		C3:4(C2xC4xD7)	336,151

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