Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₅

Direct product G=N×Q with N=C₄ and Q=Dic₂₅

		d	ρ	Label	ID
C₄×Dic₂₅		400		C4xDic25	400,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₂₅ = C₄⋊Dic₂₅	φ: Dic₂₅/C₅₀ → C₂ ⊆ Aut C₄	400		C4:Dic25	400,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₂₅ = C₄.Dic₂₅	φ: Dic₂₅/C₅₀ → C₂ ⊆ Aut C₄	200	2	C4.Dic25	400,10
C₄.₂Dic₂₅ = C₂₅⋊₂C₁₆	central extension (φ=1)	400	2	C4.2Dic25	400,1
C₄.₃Dic₂₅ = C₂×C₂₅⋊₂C₈	central extension (φ=1)	400		C4.3Dic25	400,9

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic25