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

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

		d	ρ	Label	ID
C₁₅×C₃⋊D₄		60	2	C15xC3:D4	360,99

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₃⋊D₄) = C₅×C₃⋊D₁₂	φ: C₅×C₃⋊D₄/C₅×Dic₃ → C₂ ⊆ Aut C₃	60	4	C3:1(C5xC3:D4)	360,75
C₃⋊₂(C₅×C₃⋊D₄) = C₅×D₆⋊S₃	φ: C₅×C₃⋊D₄/S₃×C₁₀ → C₂ ⊆ Aut C₃	120	4	C3:2(C5xC3:D4)	360,74
C₃⋊₃(C₅×C₃⋊D₄) = C₅×C₃²⋊₇D₄	φ: C₅×C₃⋊D₄/C₂×C₃₀ → C₂ ⊆ Aut C₃	180		C3:3(C5xC3:D4)	360,109

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅×C₃⋊D₄) = C₅×C₉⋊D₄	φ: C₅×C₃⋊D₄/C₂×C₃₀ → C₂ ⊆ Aut C₃	180	2	C3.(C5xC3:D4)	360,24

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