Extensions 1→N→G→Q→1 with N=C₂₈ and Q=A₄

Direct product G=N×Q with N=C₂₈ and Q=A₄

		d	ρ	Label	ID
A₄×C₂₈		84	3	A4xC28	336,168

Semidirect products G=N:Q with N=C₂₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊A₄ = C₄×C₇⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂₈	84	3	C28:A4	336,171

Non-split extensions G=N.Q with N=C₂₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.A₄ = C₂₈.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂₈	112	6	C28.A4	336,173
C₂₈.₂A₄ = C₇×C₄.A₄	central extension (φ=1)	112	2	C28.2A4	336,170

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Extensions 1→N→G→Q→1 with N=C28 and Q=A4