Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈⋊₄Q₈

Direct product G=N×Q with N=C₂ and Q=C₈⋊₄Q₈

		d	ρ	Label	ID
C₂×C₈⋊₄Q₈		128		C2xC8:4Q8	128,1691

Non-split extensions G=N.Q with N=C₂ and Q=C₈⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈⋊₄Q₈) = C₄⋊C₈⋊₁₃C₄	central extension (φ=1)	128		C2.1(C8:4Q8)	128,502
C₂.₂(C₈⋊₄Q₈) = C₄⋊C₈⋊₁₄C₄	central extension (φ=1)	128		C2.2(C8:4Q8)	128,503
C₂.₃(C₈⋊₄Q₈) = C₄⋊C₄⋊₃C₈	central extension (φ=1)	128		C2.3(C8:4Q8)	128,648
C₂.₄(C₈⋊₄Q₈) = C₄².₆₁Q₈	central extension (φ=1)	128		C2.4(C8:4Q8)	128,671
C₂.₅(C₈⋊₄Q₈) = C₄².₃₂₇D₄	central extension (φ=1)	128		C2.5(C8:4Q8)	128,716
C₂.₆(C₈⋊₄Q₈) = (C₂×C₈).Q₈	central stem extension (φ=1)	128		C2.6(C8:4Q8)	128,649
C₂.₇(C₈⋊₄Q₈) = C₄².₂₇Q₈	central stem extension (φ=1)	128		C2.7(C8:4Q8)	128,672
C₂.₈(C₈⋊₄Q₈) = C₄².₁₂₀D₄	central stem extension (φ=1)	128		C2.8(C8:4Q8)	128,717

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