Extensions 1→N→G→Q→1 with N=C₂ and Q=S₃×C₅⋊₂C₈

Direct product G=N×Q with N=C₂ and Q=S₃×C₅⋊₂C₈

		d	ρ	Label	ID
C₂×S₃×C₅⋊₂C₈		240		C2xS3xC5:2C8	480,361

Non-split extensions G=N.Q with N=C₂ and Q=S₃×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(S₃×C₅⋊₂C₈) = S₃×C₅⋊₂C₁₆	central extension (φ=1)	240	4	C2.1(S3xC5:2C8)	480,8
C₂.₂(S₃×C₅⋊₂C₈) = Dic₃×C₅⋊₂C₈	central extension (φ=1)	480		C2.2(S3xC5:2C8)	480,26
C₂.₃(S₃×C₅⋊₂C₈) = C₄₀.₅₂D₆	central stem extension (φ=1)	240	4	C2.3(S3xC5:2C8)	480,11
C₂.₄(S₃×C₅⋊₂C₈) = C₆₀.₉₄D₄	central stem extension (φ=1)	240		C2.4(S3xC5:2C8)	480,32
C₂.₅(S₃×C₅⋊₂C₈) = C₆₀.₁₅Q₈	central stem extension (φ=1)	480		C2.5(S3xC5:2C8)	480,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁