Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃×D₅

Direct product G=N×Q with N=C₁₂ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₃×C₁₂		180		D5xC3xC12	360,91

Semidirect products G=N:Q with N=C₁₂ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁(C₃×D₅) = C₃×D₆₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:1(C3xD5)	360,102
C₁₂⋊₂(C₃×D₅) = C₁₂×D₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:2(C3xD5)	360,101
C₁₂⋊₃(C₃×D₅) = C₃²×D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:3(C3xD5)	360,92

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₃×D₅) = C₃×Dic₃₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.1(C3xD5)	360,100
C₁₂.₂(C₃×D₅) = C₃×C₁₅⋊₃C₈	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.2(C3xD5)	360,35
C₁₂.₃(C₃×D₅) = C₉×Dic₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.3(C3xD5)	360,15
C₁₂.₄(C₃×D₅) = C₉×D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.4(C3xD5)	360,17
C₁₂.₅(C₃×D₅) = C₃²×Dic₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.5(C3xD5)	360,90
C₁₂.₆(C₃×D₅) = C₉×C₅⋊₂C₈	central extension (φ=1)	360	2	C12.6(C3xD5)	360,2
C₁₂.₇(C₃×D₅) = D₅×C₃₆	central extension (φ=1)	180	2	C12.7(C3xD5)	360,16
C₁₂.₈(C₃×D₅) = C₃²×C₅⋊₂C₈	central extension (φ=1)	360		C12.8(C3xD5)	360,33

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