Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅₆

Direct product G=N×Q with N=C₄ and Q=C₅₆

		d	ρ	Label	ID
C₄×C₅₆		224		C4xC56	224,45

Semidirect products G=N:Q with N=C₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₅₆ = C₇×C₄⋊C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₄	224		C4:C56	224,54

Non-split extensions G=N.Q with N=C₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.C₅₆ = C₇×M₅(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₄	112	2	C4.C56	224,59

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Extensions 1→N→G→Q→1 with N=C4 and Q=C56