Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂xC₆

Direct product G=NxQ with N=C₁₀ and Q=C₂xC₆

		d	ρ	Label	ID
C₂²xC₃₀		120		C2^2xC30	120,47

Semidirect products G=N:Q with N=C₁₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:(C₂xC₆) = D₅xC₂xC₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	60		C10:(C2xC6)	120,44

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂xC₆) = C₃xDic₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.1(C2xC6)	120,16
C₁₀.₂(C₂xC₆) = D₅xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.2(C2xC6)	120,17
C₁₀.₃(C₂xC₆) = C₃xD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.3(C2xC6)	120,18
C₁₀.₄(C₂xC₆) = C₆xDic₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	120		C10.4(C2xC6)	120,19
C₁₀.₅(C₂xC₆) = C₃xC₅:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₀	60	2	C10.5(C2xC6)	120,20
C₁₀.₆(C₂xC₆) = D₄xC₁₅	central extension (φ=1)	60	2	C10.6(C2xC6)	120,32
C₁₀.₇(C₂xC₆) = Q₈xC₁₅	central extension (φ=1)	120	2	C10.7(C2xC6)	120,33

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