Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄₉

Direct product G=N×Q with N=C₄ and Q=D₄₉

		d	ρ	Label	ID
C₄×D₄₉		196	2	C4xD49	392,4

Semidirect products G=N:Q with N=C₄ and Q=D₄₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₄₉ = D₁₉₆	φ: D₄₉/C₄₉ → C₂ ⊆ Aut C₄	196	2+	C4:D49	392,5

Non-split extensions G=N.Q with N=C₄ and Q=D₄₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₄₉ = Dic₉₈	φ: D₄₉/C₄₉ → C₂ ⊆ Aut C₄	392	2-	C4.D49	392,3
C₄.₂D₄₉ = C₄₉⋊C₈	central extension (φ=1)	392	2	C4.2D49	392,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D49