Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×C₁₆

Direct product G=N×Q with N=C₂ and Q=C₂²×C₁₆

		d	ρ	Label	ID
C₂³×C₁₆		128		C2^3xC16	128,2136

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×C₁₆) = C₂×C₂²⋊C₁₆	central stem extension (φ=1)	64		C2.1(C2^2xC16)	128,843
C₂.₂(C₂²×C₁₆) = C₂×C₄⋊C₁₆	central stem extension (φ=1)	128		C2.2(C2^2xC16)	128,881
C₂.₃(C₂²×C₁₆) = C₄².₁₃C₈	central stem extension (φ=1)	64		C2.3(C2^2xC16)	128,894
C₂.₄(C₂²×C₁₆) = D₄×C₁₆	central stem extension (φ=1)	64		C2.4(C2^2xC16)	128,899
C₂.₅(C₂²×C₁₆) = Q₈×C₁₆	central stem extension (φ=1)	128		C2.5(C2^2xC16)	128,914
C₂.₆(C₂²×C₁₆) = C₂×M₆(2)	central stem extension (φ=1)	64		C2.6(C2^2xC16)	128,989
C₂.₇(C₂²×C₁₆) = D₄○C₃₂	central stem extension (φ=1)	64	2	C2.7(C2^2xC16)	128,990

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁