Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₇⋊D₄

		d	ρ	Label	ID
C₃×C₇⋊D₄		84	2	C3xC7:D4	168,28

Semidirect products G=N:Q with N=C₃ and Q=C₇⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇⋊D₄) = C₇⋊D₁₂	φ: C₇⋊D₄/Dic₇ → C₂ ⊆ Aut C₃	84	4+	C3:1(C7:D4)	168,17
C₃⋊₂(C₇⋊D₄) = C₂₁⋊D₄	φ: C₇⋊D₄/D₁₄ → C₂ ⊆ Aut C₃	84	4-	C3:2(C7:D4)	168,15
C₃⋊₃(C₇⋊D₄) = C₂₁⋊₇D₄	φ: C₇⋊D₄/C₂×C₁₄ → C₂ ⊆ Aut C₃	84	2	C3:3(C7:D4)	168,38

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