Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₅⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₅⋊D₄

		d	ρ	Label	ID
C₃²×C₅⋊D₄		180		C3^2xC5:D4	360,94

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₅⋊D₄) = C₃×C₅⋊D₁₂	φ: C₃×C₅⋊D₄/C₃×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(C3xC5:D4)	360,63
C₃⋊₂(C₃×C₅⋊D₄) = C₃×C₁₅⋊D₄	φ: C₃×C₅⋊D₄/C₆×D₅ → C₂ ⊆ Aut C₃	60	4	C3:2(C3xC5:D4)	360,61
C₃⋊₃(C₃×C₅⋊D₄) = C₃×C₁₅⋊₇D₄	φ: C₃×C₅⋊D₄/C₂×C₃₀ → C₂ ⊆ Aut C₃	60	2	C3:3(C3xC5:D4)	360,104

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₅⋊D₄) = C₉×C₅⋊D₄	central extension (φ=1)	180	2	C3.(C3xC5:D4)	360,19

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C5⋊D4