Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₅⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₁₅⋊D₄

		d	ρ	Label	ID
C₃×C₁₅⋊D₄		60	4	C3xC15:D4	360,61

Semidirect products G=N:Q with N=C₃ and Q=C₁₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₅⋊D₄) = D₃₀⋊S₃	φ: C₁₅⋊D₄/Dic₁₅ → C₂ ⊆ Aut C₃	60	4	C3:1(C15:D4)	360,86
C₃⋊₂(C₁₅⋊D₄) = C₃₀.₁₂D₆	φ: C₁₅⋊D₄/C₆×D₅ → C₂ ⊆ Aut C₃	180		C3:2(C15:D4)	360,68
C₃⋊₃(C₁₅⋊D₄) = D₆⋊D₁₅	φ: C₁₅⋊D₄/S₃×C₁₀ → C₂ ⊆ Aut C₃	120	4-	C3:3(C15:D4)	360,80

Non-split extensions G=N.Q with N=C₃ and Q=C₁₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₅⋊D₄) = C₄₅⋊D₄	φ: C₁₅⋊D₄/C₆×D₅ → C₂ ⊆ Aut C₃	180	4-	C3.(C15:D4)	360,12

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Extensions 1→N→G→Q→1 with N=C3 and Q=C15⋊D4