Extensions 1→N→G→Q→1 with N=C₂ and Q=S₃×C₁₀

Direct product G=N×Q with N=C₂ and Q=S₃×C₁₀

		d	ρ	Label	ID
S₃×C₂×C₁₀		60		S3xC2xC10	120,45

Non-split extensions G=N.Q with N=C₂ and Q=S₃×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(S₃×C₁₀) = S₃×C₂₀	central extension (φ=1)	60	2	C2.1(S3xC10)	120,22
C₂.₂(S₃×C₁₀) = C₁₀×Dic₃	central extension (φ=1)	120		C2.2(S3xC10)	120,24
C₂.₃(S₃×C₁₀) = C₅×Dic₆	central stem extension (φ=1)	120	2	C2.3(S3xC10)	120,21
C₂.₄(S₃×C₁₀) = C₅×D₁₂	central stem extension (φ=1)	60	2	C2.4(S3xC10)	120,23
C₂.₅(S₃×C₁₀) = C₅×C₃⋊D₄	central stem extension (φ=1)	60	2	C2.5(S3xC10)	120,25

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁