Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³×C₂₈

Direct product G=N×Q with N=C₂ and Q=C₂³×C₂₈

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Non-split extensions G=N.Q with N=C₂ and Q=C₂³×C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³×C₂₈) = C₂²⋊C₄×C₂×C₁₄	central stem extension (φ=1)	224		C2.1(C2^3xC28)	448,1295
C₂.₂(C₂³×C₂₈) = C₄⋊C₄×C₂×C₁₄	central stem extension (φ=1)	448		C2.2(C2^3xC28)	448,1296
C₂.₃(C₂³×C₂₈) = C₁₄×C₄²⋊C₂	central stem extension (φ=1)	224		C2.3(C2^3xC28)	448,1297
C₂.₄(C₂³×C₂₈) = D₄×C₂×C₂₈	central stem extension (φ=1)	224		C2.4(C2^3xC28)	448,1298
C₂.₅(C₂³×C₂₈) = Q₈×C₂×C₂₈	central stem extension (φ=1)	448		C2.5(C2^3xC28)	448,1299
C₂.₆(C₂³×C₂₈) = C₄○D₄×C₂₈	central stem extension (φ=1)	224		C2.6(C2^3xC28)	448,1300
C₂.₇(C₂³×C₂₈) = C₇×C₂².₁₁C₂⁴	central stem extension (φ=1)	112		C2.7(C2^3xC28)	448,1301
C₂.₈(C₂³×C₂₈) = C₇×C₂³.₃₂C₂³	central stem extension (φ=1)	224		C2.8(C2^3xC28)	448,1302
C₂.₉(C₂³×C₂₈) = C₇×C₂³.₃₃C₂³	central stem extension (φ=1)	224		C2.9(C2^3xC28)	448,1303
C₂.₁₀(C₂³×C₂₈) = M₄(2)×C₂×C₁₄	central stem extension (φ=1)	224		C2.10(C2^3xC28)	448,1349
C₂.₁₁(C₂³×C₂₈) = C₁₄×C₈○D₄	central stem extension (φ=1)	224		C2.11(C2^3xC28)	448,1350
C₂.₁₂(C₂³×C₂₈) = C₇×Q₈○M₄(2)	central stem extension (φ=1)	112	4	C2.12(C2^3xC28)	448,1351

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