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
C₂×C₂.D₅₆		224		C2xC2.D56	448,646

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) = C₄.₁₇D₅₆	central extension (φ=1)	224		C2.1(C2.D56)	448,16
C₂.₂(C₂.D₅₆) = C₂₈.₉C₄²	central extension (φ=1)	448		C2.2(C2.D56)	448,108
C₂.₃(C₂.D₅₆) = C₂².₂D₅₆	central stem extension (φ=1)	112		C2.3(C2.D56)	448,27
C₂.₄(C₂.D₅₆) = C₄.D₅₆	central stem extension (φ=1)	224		C2.4(C2.D56)	448,42
C₂.₅(C₂.D₅₆) = C₂₈.₂D₈	central stem extension (φ=1)	448		C2.5(C2.D56)	448,43
C₂.₆(C₂.D₅₆) = C₅₆.₇₈D₄	central stem extension (φ=1)	448		C2.6(C2.D56)	448,60
C₂.₇(C₂.D₅₆) = C₂.D₁₁₂	central stem extension (φ=1)	224		C2.7(C2.D56)	448,66
C₂.₈(C₂.D₅₆) = D₅₆.₁C₄	central stem extension (φ=1)	224	2	C2.8(C2.D56)	448,67
C₂.₉(C₂.D₅₆) = C₂₈.₃D₈	central stem extension (φ=1)	112	4+	C2.9(C2.D56)	448,73
C₂.₁₀(C₂.D₅₆) = C₂₈.₄D₈	central stem extension (φ=1)	224	4-	C2.10(C2.D56)	448,74
C₂.₁₁(C₂.D₅₆) = D₅₆⋊₂C₄	central stem extension (φ=1)	112	4	C2.11(C2.D56)	448,75

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