Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂₅⋊C₄

Direct product G=N×Q with N=C₄ and Q=C₂₅⋊C₄

		d	ρ	Label	ID
C₄×C₂₅⋊C₄		100	4	C4xC25:C4	400,30

Semidirect products G=N:Q with N=C₄ and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂₅⋊C₄) = C₁₀₀⋊C₄	φ: C₂₅⋊C₄/D₂₅ → C₂ ⊆ Aut C₄	100	4	C4:(C25:C4)	400,31

Non-split extensions G=N.Q with N=C₄ and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂₅⋊C₄) = C₁₀₀.C₄	φ: C₂₅⋊C₄/D₂₅ → C₂ ⊆ Aut C₄	200	4	C4.(C25:C4)	400,29
C₄.₂(C₂₅⋊C₄) = C₂₅⋊C₁₆	central extension (φ=1)	400	4	C4.2(C25:C4)	400,3
C₄.₃(C₂₅⋊C₄) = D₂₅⋊C₈	central extension (φ=1)	200	4	C4.3(C25:C4)	400,28

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Extensions 1→N→G→Q→1 with N=C4 and Q=C25⋊C4