Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₅⋊C₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₅⋊C₈

		d	ρ	Label	ID
C₃²×C₅⋊C₈		360		C3^2xC5:C8	360,52

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₅⋊C₈) = C₃×C₁₅⋊C₈	φ: C₃×C₅⋊C₈/C₃×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:(C3xC5:C8)	360,53

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₅⋊C₈) = C₉×C₅⋊C₈	central extension (φ=1)	360	4	C3.(C3xC5:C8)	360,5

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C5⋊C8