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

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

		d	ρ	Label	ID
C₂²xC₈₄		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 = A₄xC₂₈	φ: C₈₄/C₂₈ → C₃ ⊆ Aut C₂²	84	3	C2^2:C84	336,168
C₂²:₂C₈₄ = C₂²:C₄xC₂₁	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)xC₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.C84	336,110

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