Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×D₅₆

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

		d	ρ	Label	ID
C₂²×D₅₆		224		C2^2xD56	448,1193

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×D₅₆) = C₄×D₅₆	central extension (φ=1)	224		C2.1(C2xD56)	448,226
C₂.₂(C₂×D₅₆) = C₂×C₅₆⋊₁C₄	central extension (φ=1)	448		C2.2(C2xD56)	448,639
C₂.₃(C₂×D₅₆) = C₂×C₂.D₅₆	central extension (φ=1)	224		C2.3(C2xD56)	448,646
C₂.₄(C₂×D₅₆) = C₅₆⋊₈Q₈	central stem extension (φ=1)	448		C2.4(C2xD56)	448,216
C₂.₅(C₂×D₅₆) = C₄.₅D₅₆	central stem extension (φ=1)	224		C2.5(C2xD56)	448,228
C₂.₆(C₂×D₅₆) = C₂₈⋊₄D₈	central stem extension (φ=1)	224		C2.6(C2xD56)	448,229
C₂.₇(C₂×D₅₆) = D₂₈⋊₁₃D₄	central stem extension (φ=1)	112		C2.7(C2xD56)	448,266
C₂.₈(C₂×D₅₆) = C₂².D₅₆	central stem extension (φ=1)	224		C2.8(C2xD56)	448,270
C₂.₉(C₂×D₅₆) = C₄⋊D₅₆	central stem extension (φ=1)	224		C2.9(C2xD56)	448,377
C₂.₁₀(C₂×D₅₆) = D₂₈⋊₄Q₈	central stem extension (φ=1)	224		C2.10(C2xD56)	448,380
C₂.₁₁(C₂×D₅₆) = C₂×D₁₁₂	central stem extension (φ=1)	224		C2.11(C2xD56)	448,436
C₂.₁₂(C₂×D₅₆) = C₂×C₁₁₂⋊C₂	central stem extension (φ=1)	224		C2.12(C2xD56)	448,437
C₂.₁₃(C₂×D₅₆) = D₁₁₂⋊₇C₂	central stem extension (φ=1)	224	2	C2.13(C2xD56)	448,438
C₂.₁₄(C₂×D₅₆) = C₂×Dic₅₆	central stem extension (φ=1)	448		C2.14(C2xD56)	448,439
C₂.₁₅(C₂×D₅₆) = C₁₆⋊D₁₄	central stem extension (φ=1)	112	4+	C2.15(C2xD56)	448,442
C₂.₁₆(C₂×D₅₆) = C₁₆.D₁₄	central stem extension (φ=1)	224	4-	C2.16(C2xD56)	448,443
C₂.₁₇(C₂×D₅₆) = C₅₆⋊₂₉D₄	central stem extension (φ=1)	224		C2.17(C2xD56)	448,649

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