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

Direct product G=NxQ with N=C₂³ and Q=C₅:D₅

		d	ρ	Label	ID
C₂³xC₅: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) = C₂xC₅²:₇D₄	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) = C₂²xC₅²:₆C₄	central extension (φ=1)	400		C2^3.2(C5:D5)	400,199

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