Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅²⋊₆C₄

Direct product G=N×Q with N=C₄ and Q=C₅²⋊₆C₄

		d	ρ	Label	ID
C₄×C₅²⋊₆C₄		400		C4xC5^2:6C4	400,99

Semidirect products G=N:Q with N=C₄ and Q=C₅²⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅²⋊₆C₄) = C₂₀⋊₃Dic₅	φ: C₅²⋊₆C₄/C₅×C₁₀ → C₂ ⊆ Aut C₄	400		C4:(C5^2:6C4)	400,101

Non-split extensions G=N.Q with N=C₄ and Q=C₅²⋊₆C₄

extension	φ:Q→Aut N	d	Label	ID
C₄.(C₅²⋊₆C₄) = C₂₀.₅₉D₁₀	φ: C₅²⋊₆C₄/C₅×C₁₀ → C₂ ⊆ Aut C₄	200	C4.(C5^2:6C4)	400,98
C₄.₂(C₅²⋊₆C₄) = C₅²⋊₇C₁₆	central extension (φ=1)	400	C4.2(C5^2:6C4)	400,50
C₄.₃(C₅²⋊₆C₄) = C₂×C₅²⋊₇C₈	central extension (φ=1)	400	C4.3(C5^2:6C4)	400,97

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Extensions 1→N→G→Q→1 with N=C4 and Q=C52⋊6C4