Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₆

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₆

		d	ρ	Label	ID
C₂²×C₃₀		120		C2^2xC30	120,47

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₆) = D₅×C₂×C₆	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	60		C10:(C2xC6)	120,44

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₆) = C₃×Dic₁₀	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.1(C2xC6)	120,16
C₁₀.₂(C₂×C₆) = D₅×C₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.2(C2xC6)	120,17
C₁₀.₃(C₂×C₆) = C₃×D₂₀	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.3(C2xC6)	120,18
C₁₀.₄(C₂×C₆) = C₆×Dic₅	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	120		C10.4(C2xC6)	120,19
C₁₀.₅(C₂×C₆) = C₃×C₅⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.5(C2xC6)	120,20
C₁₀.₆(C₂×C₆) = D₄×C₁₅	central extension (φ=1)	60	2	C10.6(C2xC6)	120,32
C₁₀.₇(C₂×C₆) = Q₈×C₁₅	central extension (φ=1)	120	2	C10.7(C2xC6)	120,33

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