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

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

		d	ρ	Label	ID
C₇×C₃⋊D₄		84	2	C7xC3:D4	168,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃⋊D₄) = C₃⋊D₂₈	φ: C₃⋊D₄/Dic₃ → C₂ ⊆ Aut C₇	84	4+	C7:1(C3:D4)	168,16
C₇⋊₂(C₃⋊D₄) = C₂₁⋊D₄	φ: C₃⋊D₄/D₆ → C₂ ⊆ Aut C₇	84	4-	C7:2(C3:D4)	168,15
C₇⋊₃(C₃⋊D₄) = C₂₁⋊₇D₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Aut C₇	84	2	C7:3(C3:D4)	168,38

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