Extensions 1→N→G→Q→1 with N=C₂ and Q=C₅⋊S₄

Direct product G=N×Q with N=C₂ and Q=C₅⋊S₄

		d	ρ	Label	ID
C₂×C₅⋊S₄		30	6+	C2xC5:S4	240,197

Non-split extensions G=N.Q with N=C₂ and Q=C₅⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₅⋊S₄) = A₄⋊Dic₅	central extension (φ=1)	60	6-	C2.1(C5:S4)	240,107
C₂.₂(C₅⋊S₄) = Q₈.D₁₅	central stem extension (φ=1)	80	4-	C2.2(C5:S4)	240,105
C₂.₃(C₅⋊S₄) = Q₈⋊D₁₅	central stem extension (φ=1)	40	4+	C2.3(C5:S4)	240,106

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C5⋊S4