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		32		C2xC4^2:6C4	128,464

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) = C₄²⋊₆C₈	central extension (φ=1)	32		C2.1(C4^2:6C4)	128,8
C₂.₂(C₄²⋊₆C₄) = M₄(2)⋊C₈	central extension (φ=1)	64		C2.2(C4^2:6C4)	128,10
C₂.₃(C₄²⋊₆C₄) = C₄².₄₆Q₈	central extension (φ=1)	128		C2.3(C4^2:6C4)	128,11
C₂.₄(C₄²⋊₆C₄) = C₂⁴.₄₆D₄	central stem extension (φ=1)	32		C2.4(C4^2:6C4)	128,16
C₂.₅(C₄²⋊₆C₄) = C₄².₄Q₈	central stem extension (φ=1)	32		C2.5(C4^2:6C4)	128,17
C₂.₆(C₄²⋊₆C₄) = C₄².₆Q₈	central stem extension (φ=1)	32		C2.6(C4^2:6C4)	128,20
C₂.₇(C₄²⋊₆C₄) = C₄².₂₆D₄	central stem extension (φ=1)	64		C2.7(C4^2:6C4)	128,23
C₂.₈(C₄²⋊₆C₄) = C₂³.₃₀D₈	central stem extension (φ=1)	32		C2.8(C4^2:6C4)	128,26
C₂.₉(C₄²⋊₆C₄) = C₄².₇Q₈	central stem extension (φ=1)	128		C2.9(C4^2:6C4)	128,27
C₂.₁₀(C₄²⋊₆C₄) = C₂⁴.₄₈D₄	central stem extension (φ=1)	32		C2.10(C4^2:6C4)	128,29
C₂.₁₁(C₄²⋊₆C₄) = C₄².₃₈₈D₄	central stem extension (φ=1)	64		C2.11(C4^2:6C4)	128,31
C₂.₁₂(C₄²⋊₆C₄) = C₄².₉Q₈	central stem extension (φ=1)	32		C2.12(C4^2:6C4)	128,32
C₂.₁₃(C₄²⋊₆C₄) = C₄².₃₇₀D₄	central stem extension (φ=1)	64		C2.13(C4^2:6C4)	128,34
C₂.₁₄(C₄²⋊₆C₄) = C₄².₁₀Q₈	central stem extension (φ=1)	32		C2.14(C4^2:6C4)	128,35

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