Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈⋊₂D₄

Direct product G=N×Q with N=C₂ and Q=C₈⋊₂D₄

		d	ρ	Label	ID
C₂×C₈⋊₂D₄		64		C2xC8:2D4	128,1784

Non-split extensions G=N.Q with N=C₂ and Q=C₈⋊₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈⋊₂D₄) = C₂⁴.₆₇D₄	central extension (φ=1)	64		C2.1(C8:2D4)	128,541
C₂.₂(C₈⋊₂D₄) = C₂⁴.₇₆D₄	central extension (φ=1)	64		C2.2(C8:2D4)	128,627
C₂.₃(C₈⋊₂D₄) = C₂.(C₈⋊₂D₄)	central extension (φ=1)	64		C2.3(C8:2D4)	128,668
C₂.₄(C₈⋊₂D₄) = C₈⋊(C₄⋊C₄)	central extension (φ=1)	128		C2.4(C8:2D4)	128,676
C₂.₅(C₈⋊₂D₄) = (C₂×D₈)⋊₁₀C₄	central extension (φ=1)	64		C2.5(C8:2D4)	128,704
C₂.₆(C₈⋊₂D₄) = C₈⋊₂D₈	central stem extension (φ=1)	64		C2.6(C8:2D4)	128,419
C₂.₇(C₈⋊₂D₄) = C₈⋊₂SD₁₆	central stem extension (φ=1)	64		C2.7(C8:2D4)	128,420
C₂.₈(C₈⋊₂D₄) = C₈⋊₄SD₁₆	central stem extension (φ=1)	64		C2.8(C8:2D4)	128,425
C₂.₉(C₈⋊₂D₄) = C₈⋊₂Q₁₆	central stem extension (φ=1)	128		C2.9(C8:2D4)	128,426
C₂.₁₀(C₈⋊₂D₄) = C₄².₂₅₂C₂³	central stem extension (φ=1)	64		C2.10(C8:2D4)	128,433
C₂.₁₁(C₈⋊₂D₄) = C₄².₂₅₃C₂³	central stem extension (φ=1)	64		C2.11(C8:2D4)	128,434
C₂.₁₂(C₈⋊₂D₄) = C₂³⋊₂D₈	central stem extension (φ=1)	64		C2.12(C8:2D4)	128,731
C₂.₁₃(C₈⋊₂D₄) = C₂⁴.₈₄D₄	central stem extension (φ=1)	64		C2.13(C8:2D4)	128,766
C₂.₁₄(C₈⋊₂D₄) = (C₂×C₄)⋊₃D₈	central stem extension (φ=1)	64		C2.14(C8:2D4)	128,786
C₂.₁₅(C₈⋊₂D₄) = C₄⋊C₄.₁₀₆D₄	central stem extension (φ=1)	64		C2.15(C8:2D4)	128,797
C₂.₁₆(C₈⋊₂D₄) = C₂⁴.₈₈D₄	central stem extension (φ=1)	64		C2.16(C8:2D4)	128,808
C₂.₁₇(C₈⋊₂D₄) = (C₂×C₄).₂₁Q₁₆	central stem extension (φ=1)	128		C2.17(C8:2D4)	128,819

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁