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

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

		d	ρ	Label	ID
C₄×C₁₃⋊C₄		52	4	C4xC13:C4	208,30

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₃⋊C₄) = C₅₂⋊C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₄	52	4	C4:(C13:C4)	208,31

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₃⋊C₄) = C₅₂.C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₄	104	4	C4.(C13:C4)	208,29
C₄.₂(C₁₃⋊C₄) = C₁₃⋊C₁₆	central extension (φ=1)	208	4	C4.2(C13:C4)	208,3
C₄.₃(C₁₃⋊C₄) = D₁₃⋊C₈	central extension (φ=1)	104	4	C4.3(C13:C4)	208,28

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