Extensions 1→N→G→Q→1 with N=C₂ and Q=C₇×C₂²⋊Q₈

Direct product G=N×Q with N=C₂ and Q=C₇×C₂²⋊Q₈

		d	ρ	Label	ID
C₁₄×C₂²⋊Q₈		224		C14xC2^2:Q8	448,1306

Non-split extensions G=N.Q with N=C₂ and Q=C₇×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₇×C₂²⋊Q₈) = C₇×C₂³.₇Q₈	central extension (φ=1)	224		C2.1(C7xC2^2:Q8)	448,788
C₂.₂(C₇×C₂²⋊Q₈) = C₇×C₂³.₈Q₈	central extension (φ=1)	224		C2.2(C7xC2^2:Q8)	448,793
C₂.₃(C₇×C₂²⋊Q₈) = C₇×C₂³.₆₃C₂³	central extension (φ=1)	448		C2.3(C7xC2^2:Q8)	448,795
C₂.₄(C₇×C₂²⋊Q₈) = C₇×C₂³.₆₅C₂³	central extension (φ=1)	448		C2.4(C7xC2^2:Q8)	448,797
C₂.₅(C₇×C₂²⋊Q₈) = C₇×C₂³.₆₇C₂³	central extension (φ=1)	448		C2.5(C7xC2^2:Q8)	448,799
C₂.₆(C₇×C₂²⋊Q₈) = C₇×C₂³⋊Q₈	central stem extension (φ=1)	224		C2.6(C7xC2^2:Q8)	448,801
C₂.₇(C₇×C₂²⋊Q₈) = C₇×C₂³.₇₈C₂³	central stem extension (φ=1)	448		C2.7(C7xC2^2:Q8)	448,803
C₂.₈(C₇×C₂²⋊Q₈) = C₇×C₂³.Q₈	central stem extension (φ=1)	224		C2.8(C7xC2^2:Q8)	448,804
C₂.₉(C₇×C₂²⋊Q₈) = C₇×C₂³.₈₁C₂³	central stem extension (φ=1)	448		C2.9(C7xC2^2:Q8)	448,806
C₂.₁₀(C₇×C₂²⋊Q₈) = C₇×C₂³.₄Q₈	central stem extension (φ=1)	224		C2.10(C7xC2^2:Q8)	448,807
C₂.₁₁(C₇×C₂²⋊Q₈) = C₇×C₂³.₈₃C₂³	central stem extension (φ=1)	448		C2.11(C7xC2^2:Q8)	448,808
C₂.₁₂(C₇×C₂²⋊Q₈) = C₇×D₄⋊Q₈	central stem extension (φ=1)	224		C2.12(C7xC2^2:Q8)	448,882
C₂.₁₃(C₇×C₂²⋊Q₈) = C₇×Q₈⋊Q₈	central stem extension (φ=1)	448		C2.13(C7xC2^2:Q8)	448,883
C₂.₁₄(C₇×C₂²⋊Q₈) = C₇×D₄⋊₂Q₈	central stem extension (φ=1)	224		C2.14(C7xC2^2:Q8)	448,884
C₂.₁₅(C₇×C₂²⋊Q₈) = C₇×C₄.Q₁₆	central stem extension (φ=1)	448		C2.15(C7xC2^2:Q8)	448,885
C₂.₁₆(C₇×C₂²⋊Q₈) = C₇×D₄.Q₈	central stem extension (φ=1)	224		C2.16(C7xC2^2:Q8)	448,886
C₂.₁₇(C₇×C₂²⋊Q₈) = C₇×Q₈.Q₈	central stem extension (φ=1)	448		C2.17(C7xC2^2:Q8)	448,887

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