Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄⋊₂Q₈

Direct product G=N×Q with N=C₂ and Q=D₄⋊₂Q₈

		d	ρ	Label	ID
C₂×D₄⋊₂Q₈		64		C2xD4:2Q8	128,1803

Non-split extensions G=N.Q with N=C₂ and Q=D₄⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₄⋊₂Q₈) = C₄².₉₈D₄	central extension (φ=1)	64		C2.1(D4:2Q8)	128,534
C₂.₂(D₄⋊₂Q₈) = D₄⋊(C₄⋊C₄)	central extension (φ=1)	64		C2.2(D4:2Q8)	128,596
C₂.₃(D₄⋊₂Q₈) = C₄.Q₈⋊₁₀C₄	central extension (φ=1)	128		C2.3(D4:2Q8)	128,652
C₂.₄(D₄⋊₂Q₈) = C₄².₃₀Q₈	central extension (φ=1)	128		C2.4(D4:2Q8)	128,680
C₂.₅(D₄⋊₂Q₈) = C₄².₁₂₁D₄	central extension (φ=1)	128		C2.5(D4:2Q8)	128,719
C₂.₆(D₄⋊₂Q₈) = (C₂×D₄)⋊Q₈	central stem extension (φ=1)	64		C2.6(D4:2Q8)	128,755
C₂.₇(D₄⋊₂Q₈) = (C₂×C₈)⋊Q₈	central stem extension (φ=1)	128		C2.7(D4:2Q8)	128,790
C₂.₈(D₄⋊₂Q₈) = C₄⋊C₄.₁₀₆D₄	central stem extension (φ=1)	64		C2.8(D4:2Q8)	128,797
C₂.₉(D₄⋊₂Q₈) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128		C2.9(D4:2Q8)	128,820
C₂.₁₀(D₄⋊₂Q₈) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2.10(D4:2Q8)	128,826
C₂.₁₁(D₄⋊₂Q₈) = (C₂×C₄).₂₃Q₁₆	central stem extension (φ=1)	128		C2.11(D4:2Q8)	128,832
C₂.₁₂(D₄⋊₂Q₈) = D₈⋊₃Q₈	central stem extension (φ=1)	16	4	C2.12(D4:2Q8)	128,962
C₂.₁₃(D₄⋊₂Q₈) = D₈.₂Q₈	central stem extension (φ=1)	32	4	C2.13(D4:2Q8)	128,963

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁