Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₂₅

Direct product G=N×Q with N=C₃ and Q=C₃×D₂₅

		d	ρ	Label	ID
C₃²×D₂₅		225		C3^2xD25	450,5

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×D₂₅) = C₃×D₇₅	φ: C₃×D₂₅/C₇₅ → C₂ ⊆ Aut C₃	150	2	C3:(C3xD25)	450,7

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×D₂₅) = C₉×D₂₅	central extension (φ=1)	225	2	C3.(C3xD25)	450,2

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D25