Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇×C₂²⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₇×C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₂₁		168		C2^2:C4xC21	336,107

Semidirect products G=N:Q with N=C₃ and Q=C₇×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇×C₂²⋊C₄) = C₇×D₆⋊C₄	φ: C₇×C₂²⋊C₄/C₂×C₂₈ → C₂ ⊆ Aut C₃	168		C3:1(C7xC2^2:C4)	336,84
C₃⋊₂(C₇×C₂²⋊C₄) = C₇×C₆.D₄	φ: C₇×C₂²⋊C₄/C₂²×C₁₄ → C₂ ⊆ Aut C₃	168		C3:2(C7xC2^2:C4)	336,89

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