Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×F₇

Direct product G=N×Q with N=C₂ and Q=C₂²×F₇

		d	ρ	Label	ID
C₂³×F₇		56		C2^3xF7	336,216

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×F₇) = C₂×C₄×F₇	central extension (φ=1)	56		C2.1(C2^2xF7)	336,122
C₂.₂(C₂²×F₇) = C₂²×C₇⋊C₁₂	central extension (φ=1)	112		C2.2(C2^2xF7)	336,129
C₂.₃(C₂²×F₇) = C₂×C₄.F₇	central stem extension (φ=1)	112		C2.3(C2^2xF7)	336,121
C₂.₄(C₂²×F₇) = C₂×C₄⋊F₇	central stem extension (φ=1)	56		C2.4(C2^2xF7)	336,123
C₂.₅(C₂²×F₇) = D₂₈⋊₆C₆	central stem extension (φ=1)	56	6	C2.5(C2^2xF7)	336,124
C₂.₆(C₂²×F₇) = D₄×F₇	central stem extension (φ=1)	28	12+	C2.6(C2^2xF7)	336,125
C₂.₇(C₂²×F₇) = D₄⋊₂F₇	central stem extension (φ=1)	56	12-	C2.7(C2^2xF7)	336,126
C₂.₈(C₂²×F₇) = Q₈×F₇	central stem extension (φ=1)	56	12-	C2.8(C2^2xF7)	336,127
C₂.₉(C₂²×F₇) = Q₈⋊₃F₇	central stem extension (φ=1)	56	12+	C2.9(C2^2xF7)	336,128
C₂.₁₀(C₂²×F₇) = C₂×Dic₇⋊C₆	central stem extension (φ=1)	56		C2.10(C2^2xF7)	336,130

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