Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₃⋊C₆

Direct product G=N×Q with N=C₄ and Q=C₁₃⋊C₆

		d	ρ	Label	ID
C₄×C₁₃⋊C₆		52	6	C4xC13:C6	312,9

Semidirect products G=N:Q with N=C₄ and Q=C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₃⋊C₆) = D₅₂⋊C₃	φ: C₁₃⋊C₆/C₁₃⋊C₃ → C₂ ⊆ Aut C₄	52	6+	C4:(C13:C6)	312,10

Non-split extensions G=N.Q with N=C₄ and Q=C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₃⋊C₆) = Dic₂₆⋊C₃	φ: C₁₃⋊C₆/C₁₃⋊C₃ → C₂ ⊆ Aut C₄	104	6-	C4.(C13:C6)	312,8
C₄.₂(C₁₃⋊C₆) = C₁₃⋊₂C₂₄	central extension (φ=1)	104	6	C4.2(C13:C6)	312,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=C13⋊C6