Extensions 1→N→G→Q→1 with N=C₂ and Q=D₅₆⋊₇C₂

Direct product G=N×Q with N=C₂ and Q=D₅₆⋊₇C₂

		d	ρ	Label	ID
C₂×D₅₆⋊₇C₂		224		C2xD56:7C2	448,1194

Non-split extensions G=N.Q with N=C₂ and Q=D₅₆⋊₇C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₅₆⋊₇C₂) = C₄×C₅₆⋊C₂	central extension (φ=1)	224		C2.1(D56:7C2)	448,225
C₂.₂(D₅₆⋊₇C₂) = C₄×D₅₆	central extension (φ=1)	224		C2.2(D56:7C2)	448,226
C₂.₃(D₅₆⋊₇C₂) = C₄×Dic₂₈	central extension (φ=1)	448		C2.3(D56:7C2)	448,232
C₂.₄(D₅₆⋊₇C₂) = C₂³.₂₂D₂₈	central extension (φ=1)	224		C2.4(D56:7C2)	448,640
C₂.₅(D₅₆⋊₇C₂) = C₂³.₂₃D₂₈	central extension (φ=1)	224		C2.5(D56:7C2)	448,647
C₂.₆(D₅₆⋊₇C₂) = C₅₆.₁₃Q₈	central stem extension (φ=1)	448		C2.6(D56:7C2)	448,217
C₂.₇(D₅₆⋊₇C₂) = C₈.₈D₂₈	central stem extension (φ=1)	224		C2.7(D56:7C2)	448,230
C₂.₈(D₅₆⋊₇C₂) = C₄².₂₆₄D₁₄	central stem extension (φ=1)	224		C2.8(D56:7C2)	448,231
C₂.₉(D₅₆⋊₇C₂) = C₂³.₁₀D₂₈	central stem extension (φ=1)	224		C2.9(D56:7C2)	448,257
C₂.₁₀(D₅₆⋊₇C₂) = D₂₈.₃₂D₄	central stem extension (φ=1)	224		C2.10(D56:7C2)	448,267
C₂.₁₁(D₅₆⋊₇C₂) = D₂₈⋊₁₄D₄	central stem extension (φ=1)	224		C2.11(D56:7C2)	448,268
C₂.₁₂(D₅₆⋊₇C₂) = C₂³.₁₃D₂₈	central stem extension (φ=1)	224		C2.12(D56:7C2)	448,271
C₂.₁₃(D₅₆⋊₇C₂) = Dic₁₄.₃Q₈	central stem extension (φ=1)	448		C2.13(D56:7C2)	448,363
C₂.₁₄(D₅₆⋊₇C₂) = D₂₈.₁₉D₄	central stem extension (φ=1)	224		C2.14(D56:7C2)	448,378
C₂.₁₅(D₅₆⋊₇C₂) = C₄².₃₆D₁₄	central stem extension (φ=1)	224		C2.15(D56:7C2)	448,379
C₂.₁₆(D₅₆⋊₇C₂) = D₂₈.₃Q₈	central stem extension (φ=1)	224		C2.16(D56:7C2)	448,381
C₂.₁₇(D₅₆⋊₇C₂) = C₅₆⋊₃₀D₄	central stem extension (φ=1)	224		C2.17(D56:7C2)	448,648
C₂.₁₈(D₅₆⋊₇C₂) = C₅₆⋊₂₉D₄	central stem extension (φ=1)	224		C2.18(D56:7C2)	448,649
C₂.₁₉(D₅₆⋊₇C₂) = C₅₆.₈₂D₄	central stem extension (φ=1)	224		C2.19(D56:7C2)	448,650

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