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
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₅×D₅) = C₁₀×C₅⋊D₄	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₂³	40		C2^3:(C5xD5)	400,190

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) = C₅×C₂³.D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₂³	40		C2^3.(C5xD5)	400,91
C₂³.₂(C₅×D₅) = Dic₅×C₂×C₁₀	central extension (φ=1)	80		C2^3.2(C5xD5)	400,189

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