Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅⋊D₅

Direct product G=N×Q with N=C₂³ and Q=C₅⋊D₅

		d	ρ	Label	ID
C₂³×C₅⋊D₅		200		C2^3xC5:D5	400,220

Semidirect products G=N:Q with N=C₂³ and Q=C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₅⋊D₅) = C₂×C₅²⋊₇D₄	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂³	200		C2^3:(C5:D5)	400,200

Non-split extensions G=N.Q with N=C₂³ and Q=C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₅⋊D₅) = C₁₀²⋊₁₁C₄	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂³	200		C2^3.(C5:D5)	400,107
C₂³.₂(C₅⋊D₅) = C₂²×C₅²⋊₆C₄	central extension (φ=1)	400		C2^3.2(C5:D5)	400,199

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Extensions 1→N→G→Q→1 with N=C23 and Q=C5⋊D5