Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄².₆C₄

Direct product G=N×Q with N=C₂ and Q=C₄².₆C₄

		d	ρ	Label	ID
C₂×C₄².₆C₄		64		C2xC4^2.6C4	128,1650

Non-split extensions G=N.Q with N=C₂ and Q=C₄².₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄².₆C₄) = C₄³.C₂	central extension (φ=1)	128		C2.1(C4^2.6C4)	128,477
C₂.₂(C₄².₆C₄) = C₄².₃₇₈D₄	central extension (φ=1)	64		C2.2(C4^2.6C4)	128,481
C₂.₃(C₄².₆C₄) = C₄³.₇C₂	central extension (φ=1)	128		C2.3(C4^2.6C4)	128,499
C₂.₄(C₄².₆C₄) = C₄².₄₂₅D₄	central extension (φ=1)	64		C2.4(C4^2.6C4)	128,529
C₂.₅(C₄².₆C₄) = C₂³.₃₂M₄(2)	central extension (φ=1)	64		C2.5(C4^2.6C4)	128,549
C₂.₆(C₄².₆C₄) = C₄²⋊₈C₈	central extension (φ=1)	128		C2.6(C4^2.6C4)	128,563
C₂.₇(C₄².₆C₄) = C₄²⋊₅C₈	central extension (φ=1)	128		C2.7(C4^2.6C4)	128,571
C₂.₈(C₄².₆C₄) = (C₂×C₈).Q₈	central stem extension (φ=1)	128		C2.8(C4^2.6C4)	128,649
C₂.₉(C₄².₆C₄) = C₂³.₉M₄(2)	central stem extension (φ=1)	64		C2.9(C4^2.6C4)	128,656
C₂.₁₀(C₄².₆C₄) = C₈.₅M₄(2)	central stem extension (φ=1)	16	4	C2.10(C4^2.6C4)	128,897
C₂.₁₁(C₄².₆C₄) = C₈.₁₉M₄(2)	central stem extension (φ=1)	32	4	C2.11(C4^2.6C4)	128,898

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