Extensions 1→N→G→Q→1 with N=C₂ and Q=C₅⋊D₂₄

Direct product G=N×Q with N=C₂ and Q=C₅⋊D₂₄

		d	ρ	Label	ID
C₂×C₅⋊D₂₄		240		C2xC5:D24	480,378

Non-split extensions G=N.Q with N=C₂ and Q=C₅⋊D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₅⋊D₂₄) = C₁₀.D₂₄	central extension (φ=1)	240		C2.1(C5:D24)	480,43
C₂.₂(C₅⋊D₂₄) = D₆₀⋊₁₅C₄	central extension (φ=1)	240		C2.2(C5:D24)	480,45
C₂.₃(C₅⋊D₂₄) = C₆₀.₈Q₈	central extension (φ=1)	480		C2.3(C5:D24)	480,64
C₂.₄(C₅⋊D₂₄) = C₅⋊D₄₈	central stem extension (φ=1)	240	4+	C2.4(C5:D24)	480,15
C₂.₅(C₅⋊D₂₄) = D₂₄.D₅	central stem extension (φ=1)	240	4-	C2.5(C5:D24)	480,20
C₂.₆(C₅⋊D₂₄) = Dic₁₂⋊D₅	central stem extension (φ=1)	240	4+	C2.6(C5:D24)	480,21
C₂.₇(C₅⋊D₂₄) = C₅⋊Dic₂₄	central stem extension (φ=1)	480	4-	C2.7(C5:D24)	480,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁