Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈₄

Direct product G=N×Q with N=C₄ and Q=C₈₄

		d	ρ	Label	ID
C₄×C₈₄		336		C4xC84	336,106

Semidirect products G=N:Q with N=C₄ and Q=C₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₈₄ = C₄⋊C₄×C₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₄	336		C4:C84	336,108

Non-split extensions G=N.Q with N=C₄ and Q=C₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.C₈₄ = M₄(2)×C₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.C84	336,110

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Extensions 1→N→G→Q→1 with N=C4 and Q=C84