Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈⋊₆D₄

Direct product G=N×Q with N=C₂ and Q=C₈⋊₆D₄

		d	ρ	Label	ID
C₂×C₈⋊₆D₄		64		C2xC8:6D4	128,1660

Non-split extensions G=N.Q with N=C₂ and Q=C₈⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈⋊₆D₄) = C₂³.₁₇C₄²	central extension (φ=1)	64		C2.1(C8:6D4)	128,485
C₂.₂(C₈⋊₆D₄) = C₄⋊C₈⋊₁₃C₄	central extension (φ=1)	128		C2.2(C8:6D4)	128,502
C₂.₃(C₈⋊₆D₄) = C₂²⋊C₄⋊₄C₈	central extension (φ=1)	64		C2.3(C8:6D4)	128,655
C₂.₄(C₈⋊₆D₄) = C₄².₆₁Q₈	central extension (φ=1)	128		C2.4(C8:6D4)	128,671
C₂.₅(C₈⋊₆D₄) = C₄².₃₂₅D₄	central extension (φ=1)	64		C2.5(C8:6D4)	128,686
C₂.₆(C₈⋊₆D₄) = C₈⋊₆D₈	central stem extension (φ=1)	64		C2.6(C8:6D4)	128,321
C₂.₇(C₈⋊₆D₄) = C₈⋊₉SD₁₆	central stem extension (φ=1)	64		C2.7(C8:6D4)	128,322
C₂.₈(C₈⋊₆D₄) = C₈⋊₆Q₁₆	central stem extension (φ=1)	128		C2.8(C8:6D4)	128,323
C₂.₉(C₈⋊₆D₄) = C₈⋊M₄(2)	central stem extension (φ=1)	64		C2.9(C8:6D4)	128,324
C₂.₁₀(C₈⋊₆D₄) = C₈.M₄(2)	central stem extension (φ=1)	128		C2.10(C8:6D4)	128,325
C₂.₁₁(C₈⋊₆D₄) = C₈⋊₃M₄(2)	central stem extension (φ=1)	64		C2.11(C8:6D4)	128,326
C₂.₁₂(C₈⋊₆D₄) = (C₂×C₈).₁₉₅D₄	central stem extension (φ=1)	64		C2.12(C8:6D4)	128,583
C₂.₁₃(C₈⋊₆D₄) = C₂³⋊₂M₄(2)	central stem extension (φ=1)	64		C2.13(C8:6D4)	128,602
C₂.₁₄(C₈⋊₆D₄) = (C₂×C₈).Q₈	central stem extension (φ=1)	128		C2.14(C8:6D4)	128,649
C₂.₁₅(C₈⋊₆D₄) = C₂³.₉M₄(2)	central stem extension (φ=1)	64		C2.15(C8:6D4)	128,656

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