Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈○D₈

Direct product G=N×Q with N=C₂ and Q=C₈○D₈

		d	ρ	Label	ID
C₂×C₈○D₈		32		C2xC8oD8	128,1685

Non-split extensions G=N.Q with N=C₂ and Q=C₈○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈○D₈) = C₈×D₈	central extension (φ=1)	64		C2.1(C8oD8)	128,307
C₂.₂(C₈○D₈) = C₈×SD₁₆	central extension (φ=1)	64		C2.2(C8oD8)	128,308
C₂.₃(C₈○D₈) = C₈×Q₁₆	central extension (φ=1)	128		C2.3(C8oD8)	128,309
C₂.₄(C₈○D₈) = Q₈.C₄²	central extension (φ=1)	32		C2.4(C8oD8)	128,496
C₂.₅(C₈○D₈) = C₈.₁₄C₄²	central extension (φ=1)	32		C2.5(C8oD8)	128,504
C₂.₆(C₈○D₈) = D₄.M₄(2)	central stem extension (φ=1)	64		C2.6(C8oD8)	128,317
C₂.₇(C₈○D₈) = D₄⋊₂M₄(2)	central stem extension (φ=1)	64		C2.7(C8oD8)	128,318
C₂.₈(C₈○D₈) = Q₈.M₄(2)	central stem extension (φ=1)	128		C2.8(C8oD8)	128,319
C₂.₉(C₈○D₈) = Q₈⋊₂M₄(2)	central stem extension (φ=1)	64		C2.9(C8oD8)	128,320
C₂.₁₀(C₈○D₈) = C₈⋊₆D₈	central stem extension (φ=1)	64		C2.10(C8oD8)	128,321
C₂.₁₁(C₈○D₈) = C₈⋊₉SD₁₆	central stem extension (φ=1)	64		C2.11(C8oD8)	128,322
C₂.₁₂(C₈○D₈) = C₈⋊₆Q₁₆	central stem extension (φ=1)	128		C2.12(C8oD8)	128,323
C₂.₁₃(C₈○D₈) = M₄(2).₄₂D₄	central stem extension (φ=1)	32		C2.13(C8oD8)	128,598
C₂.₁₄(C₈○D₈) = M₄(2).₄₃D₄	central stem extension (φ=1)	32		C2.14(C8oD8)	128,608
C₂.₁₅(C₈○D₈) = M₄(2).₃Q₈	central stem extension (φ=1)	32		C2.15(C8oD8)	128,654
C₂.₁₆(C₈○D₈) = M₄(2).₂₄D₄	central stem extension (φ=1)	32		C2.16(C8oD8)	128,661
C₂.₁₇(C₈○D₈) = C₄².₄₂₈D₄	central stem extension (φ=1)	32		C2.17(C8oD8)	128,669
C₂.₁₈(C₈○D₈) = C₄².₆₂Q₈	central stem extension (φ=1)	32		C2.18(C8oD8)	128,677
C₂.₁₉(C₈○D₈) = C₄².₃₂₆D₄	central stem extension (φ=1)	32		C2.19(C8oD8)	128,706

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁