Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₇⋊C₃

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₇⋊C₃

		d	ρ	Label	ID
C₂×C₁₀×C₇⋊C₃		140		C2xC10xC7:C3	420,31

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₇⋊C₃) = C₂×D₅×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₁₀	70	6	C10:(C2xC7:C3)	420,18

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₂×C₇⋊C₃) = Dic₅×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₁₀	140	6	C10.(C2xC7:C3)	420,2
C₁₀.₂(C₂×C₇⋊C₃) = C₂₀×C₇⋊C₃	central extension (φ=1)	140	3	C10.2(C2xC7:C3)	420,4

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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C7⋊C3