Extensions 1→N→G→Q→1 with N=C₂ and Q=C₇×C₂²⋊C₄

Direct product G=N×Q with N=C₂ and Q=C₇×C₂²⋊C₄

		d	ρ	Label	ID
C₁₄×C₂²⋊C₄		112		C14xC2^2:C4	224,150

Non-split extensions G=N.Q with N=C₂ and Q=C₇×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₇×C₂²⋊C₄) = C₇×C₂.C₄²	central extension (φ=1)	224		C2.1(C7xC2^2:C4)	224,44
C₂.₂(C₇×C₂²⋊C₄) = C₇×C₂²⋊C₈	central extension (φ=1)	112		C2.2(C7xC2^2:C4)	224,47
C₂.₃(C₇×C₂²⋊C₄) = C₇×C₂³⋊C₄	central stem extension (φ=1)	56	4	C2.3(C7xC2^2:C4)	224,48
C₂.₄(C₇×C₂²⋊C₄) = C₇×C₄.D₄	central stem extension (φ=1)	56	4	C2.4(C7xC2^2:C4)	224,49
C₂.₅(C₇×C₂²⋊C₄) = C₇×C₄.₁₀D₄	central stem extension (φ=1)	112	4	C2.5(C7xC2^2:C4)	224,50
C₂.₆(C₇×C₂²⋊C₄) = C₇×D₄⋊C₄	central stem extension (φ=1)	112		C2.6(C7xC2^2:C4)	224,51
C₂.₇(C₇×C₂²⋊C₄) = C₇×Q₈⋊C₄	central stem extension (φ=1)	224		C2.7(C7xC2^2:C4)	224,52
C₂.₈(C₇×C₂²⋊C₄) = C₇×C₄≀C₂	central stem extension (φ=1)	56	2	C2.8(C7xC2^2:C4)	224,53

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