Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₃

Direct product G=N×Q with N=C₄ and Q=Dic₁₃

		d	ρ	Label	ID
C₄×Dic₁₃		208		C4xDic13	208,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₁₃ = C₅₂⋊₃C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₄	208		C4:Dic13	208,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₁₃ = C₅₂.₄C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₄	104	2	C4.Dic13	208,10
C₄.₂Dic₁₃ = C₁₃⋊₂C₁₆	central extension (φ=1)	208	2	C4.2Dic13	208,1
C₄.₃Dic₁₃ = C₂×C₁₃⋊₂C₈	central extension (φ=1)	208		C4.3Dic13	208,9

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic13