Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₅×S₃

Direct product G=N×Q with N=C₁₂ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₆₀		120	2	S3xC60	360,96

Semidirect products G=N:Q with N=C₁₂ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁(C₅×S₃) = C₅×C₁₂⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:1(C5xS3)	360,107
C₁₂⋊₂(C₅×S₃) = C₃⋊S₃×C₂₀	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:2(C5xS3)	360,106
C₁₂⋊₃(C₅×S₃) = C₁₅×D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:3(C5xS3)	360,97

Non-split extensions G=N.Q with N=C₁₂ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₅×S₃) = C₅×Dic₁₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.1(C5xS3)	360,20
C₁₂.₂(C₅×S₃) = C₅×D₃₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.2(C5xS3)	360,22
C₁₂.₃(C₅×S₃) = C₅×C₃²⋊₄Q₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.3(C5xS3)	360,105
C₁₂.₄(C₅×S₃) = C₅×C₉⋊C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.4(C5xS3)	360,1
C₁₂.₅(C₅×S₃) = D₉×C₂₀	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.5(C5xS3)	360,21
C₁₂.₆(C₅×S₃) = C₅×C₃²⋊₄C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.6(C5xS3)	360,36
C₁₂.₇(C₅×S₃) = C₁₅×Dic₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.7(C5xS3)	360,95
C₁₂.₈(C₅×S₃) = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C12.8(C5xS3)	360,34

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