Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈₄

Direct product G=N×Q with N=C₂² and Q=C₈₄

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂² and Q=C₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₈₄ = A₄×C₂₈	φ: C₈₄/C₂₈ → C₃ ⊆ Aut C₂²	84	3	C2^2:C84	336,168
C₂²⋊₂C₈₄ = C₂²⋊C₄×C₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:2C84	336,107

Non-split extensions G=N.Q with N=C₂² and Q=C₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².C₈₄ = M₄(2)×C₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.C84	336,110

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Extensions 1→N→G→Q→1 with N=C22 and Q=C84