Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xD₅

Direct product G=NxQ with N=C₁₂ and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₃xC₁₂		180		D5xC3xC12	360,91

Semidirect products G=N:Q with N=C₁₂ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂:₁(C₃xD₅) = C₃xD₆₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:1(C3xD5)	360,102
C₁₂:₂(C₃xD₅) = C₁₂xD₁₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:2(C3xD5)	360,101
C₁₂:₃(C₃xD₅) = C₃²xD₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:3(C3xD5)	360,92

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₃xD₅) = C₃xDic₃₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.1(C3xD5)	360,100
C₁₂.₂(C₃xD₅) = C₃xC₁₅:₃C₈	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.2(C3xD5)	360,35
C₁₂.₃(C₃xD₅) = C₉xDic₁₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.3(C3xD5)	360,15
C₁₂.₄(C₃xD₅) = C₉xD₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.4(C3xD5)	360,17
C₁₂.₅(C₃xD₅) = C₃²xDic₁₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.5(C3xD5)	360,90
C₁₂.₆(C₃xD₅) = C₉xC₅:₂C₈	central extension (φ=1)	360	2	C12.6(C3xD5)	360,2
C₁₂.₇(C₃xD₅) = D₅xC₃₆	central extension (φ=1)	180	2	C12.7(C3xD5)	360,16
C₁₂.₈(C₃xD₅) = C₃²xC₅:₂C₈	central extension (φ=1)	360		C12.8(C3xD5)	360,33

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