Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄×C₃₁

Direct product G=N×Q with N=C₂ and Q=D₄×C₃₁

		d	ρ	Label	ID
D₄×C₆₂		248		D4xC62	496,38

Non-split extensions G=N.Q with N=C₂ and Q=D₄×C₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₄×C₃₁) = C₂²⋊C₄×C₃₁	central extension (φ=1)	248		C2.1(D4xC31)	496,20
C₂.₂(D₄×C₃₁) = C₄⋊C₄×C₃₁	central extension (φ=1)	496		C2.2(D4xC31)	496,21
C₂.₃(D₄×C₃₁) = D₈×C₃₁	central stem extension (φ=1)	248	2	C2.3(D4xC31)	496,24
C₂.₄(D₄×C₃₁) = SD₁₆×C₃₁	central stem extension (φ=1)	248	2	C2.4(D4xC31)	496,25
C₂.₅(D₄×C₃₁) = Q₁₆×C₃₁	central stem extension (φ=1)	496	2	C2.5(D4xC31)	496,26

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁