Extensions 1→N→G→Q→1 with N=C₂ and Q=Q₈.Q₈

Direct product G=N×Q with N=C₂ and Q=Q₈.Q₈

		d	ρ	Label	ID
C₂×Q₈.Q₈		128		C2xQ8.Q8	128,1807

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Q₈.Q₈) = C₄².₁₀₁D₄	central extension (φ=1)	128		C2.1(Q8.Q8)	128,537
C₂.₂(Q₈.Q₈) = Q₈⋊(C₄⋊C₄)	central extension (φ=1)	128		C2.2(Q8.Q8)	128,595
C₂.₃(Q₈.Q₈) = Q₈⋊C₄⋊C₄	central extension (φ=1)	128		C2.3(Q8.Q8)	128,597
C₂.₄(Q₈.Q₈) = C₂.D₈⋊₄C₄	central extension (φ=1)	128		C2.4(Q8.Q8)	128,650
C₂.₅(Q₈.Q₈) = C₄.Q₈⋊₁₀C₄	central extension (φ=1)	128		C2.5(Q8.Q8)	128,652
C₂.₆(Q₈.Q₈) = C₄².₃₁Q₈	central extension (φ=1)	128		C2.6(Q8.Q8)	128,681
C₂.₇(Q₈.Q₈) = C₄².₁₂₃D₄	central extension (φ=1)	128		C2.7(Q8.Q8)	128,721
C₂.₈(Q₈.Q₈) = C₄⋊C₄.₈₅D₄	central stem extension (φ=1)	128		C2.8(Q8.Q8)	128,758
C₂.₉(Q₈.Q₈) = C₂.(C₈⋊Q₈)	central stem extension (φ=1)	128		C2.9(Q8.Q8)	128,791
C₂.₁₀(Q₈.Q₈) = (C₂×Q₈).₈Q₈	central stem extension (φ=1)	128		C2.10(Q8.Q8)	128,798
C₂.₁₁(Q₈.Q₈) = (C₂×C₈).₅₂D₄	central stem extension (φ=1)	128		C2.11(Q8.Q8)	128,800
C₂.₁₂(Q₈.Q₈) = (C₂×C₄).₂₆D₈	central stem extension (φ=1)	128		C2.12(Q8.Q8)	128,818
C₂.₁₃(Q₈.Q₈) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128		C2.13(Q8.Q8)	128,820
C₂.₁₄(Q₈.Q₈) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128		C2.14(Q8.Q8)	128,829
C₂.₁₅(Q₈.Q₈) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128		C2.15(Q8.Q8)	128,833

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁