Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₇C₄²

Direct product G=N×Q with N=C₂ and Q=C₂².₇C₄²

		d	ρ	Label	ID
C₂×C₂².₇C₄²		128		C2xC2^2.7C4^2	128,459

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₇C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂².₇C₄²) = C₂.C₈²	central extension (φ=1)	128		C2.1(C2^2.7C4^2)	128,5
C₂.₂(C₂².₇C₄²) = C₂².₇M₅(2)	central extension (φ=1)	128		C2.2(C2^2.7C4^2)	128,106
C₂.₃(C₂².₇C₄²) = C₄²⋊₁C₈	central stem extension (φ=1)	32		C2.3(C2^2.7C4^2)	128,6
C₂.₄(C₂².₇C₄²) = C₄².₂₀D₄	central stem extension (φ=1)	64		C2.4(C2^2.7C4^2)	128,7
C₂.₅(C₂².₇C₄²) = C₄²⋊₆C₈	central stem extension (φ=1)	32		C2.5(C2^2.7C4^2)	128,8
C₂.₆(C₂².₇C₄²) = C₄².₃₈₅D₄	central stem extension (φ=1)	128		C2.6(C2^2.7C4^2)	128,9
C₂.₇(C₂².₇C₄²) = M₄(2)⋊C₈	central stem extension (φ=1)	64		C2.7(C2^2.7C4^2)	128,10
C₂.₈(C₂².₇C₄²) = C₄².₄₆Q₈	central stem extension (φ=1)	128		C2.8(C2^2.7C4^2)	128,11
C₂.₉(C₂².₇C₄²) = C₂³.₁₉C₄²	central stem extension (φ=1)	64		C2.9(C2^2.7C4^2)	128,12
C₂.₁₀(C₂².₇C₄²) = C₄².₂Q₈	central stem extension (φ=1)	64		C2.10(C2^2.7C4^2)	128,13
C₂.₁₁(C₂².₇C₄²) = C₂³.₂₁C₄²	central stem extension (φ=1)	32		C2.11(C2^2.7C4^2)	128,14
C₂.₁₂(C₂².₇C₄²) = C₄².₃Q₈	central stem extension (φ=1)	64		C2.12(C2^2.7C4^2)	128,15
C₂.₁₃(C₂².₇C₄²) = C₄².₂C₈	central stem extension (φ=1)	32		C2.13(C2^2.7C4^2)	128,107
C₂.₁₄(C₂².₇C₄²) = C₄².₇C₈	central stem extension (φ=1)	32		C2.14(C2^2.7C4^2)	128,108
C₂.₁₅(C₂².₇C₄²) = M₅(2)⋊C₄	central stem extension (φ=1)	64		C2.15(C2^2.7C4^2)	128,109
C₂.₁₆(C₂².₇C₄²) = M₄(2).C₈	central stem extension (φ=1)	32	4	C2.16(C2^2.7C4^2)	128,110
C₂.₁₇(C₂².₇C₄²) = M₅(2)⋊₇C₄	central stem extension (φ=1)	64		C2.17(C2^2.7C4^2)	128,111

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