Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄².₁₂C₄

Direct product G=N×Q with N=C₂ and Q=C₄².₁₂C₄

		d	ρ	Label	ID
C₂×C₄².₁₂C₄		64		C2xC4^2.12C4	128,1649

Non-split extensions G=N.Q with N=C₂ and Q=C₄².₁₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄².₁₂C₄) = C₄²⋊₄C₈	central extension (φ=1)	128		C2.1(C4^2.12C4)	128,476
C₂.₂(C₄².₁₂C₄) = C₄×C₂²⋊C₈	central extension (φ=1)	64		C2.2(C4^2.12C4)	128,480
C₂.₃(C₄².₁₂C₄) = C₄×C₄⋊C₈	central extension (φ=1)	128		C2.3(C4^2.12C4)	128,498
C₂.₄(C₄².₁₂C₄) = C₄².₁₃C₈	central extension (φ=1)	64		C2.4(C4^2.12C4)	128,894
C₂.₅(C₄².₁₂C₄) = C₄².₄₂₅D₄	central stem extension (φ=1)	64		C2.5(C4^2.12C4)	128,529
C₂.₆(C₄².₁₂C₄) = C₂³.₃₂M₄(2)	central stem extension (φ=1)	64		C2.6(C4^2.12C4)	128,549
C₂.₇(C₄².₁₂C₄) = C₄²⋊₈C₈	central stem extension (φ=1)	128		C2.7(C4^2.12C4)	128,563
C₂.₈(C₄².₁₂C₄) = C₄²⋊₅C₈	central stem extension (φ=1)	128		C2.8(C4^2.12C4)	128,571
C₂.₉(C₄².₁₂C₄) = C₄⋊C₄⋊₃C₈	central stem extension (φ=1)	128		C2.9(C4^2.12C4)	128,648
C₂.₁₀(C₄².₁₂C₄) = C₂²⋊C₄⋊₄C₈	central stem extension (φ=1)	64		C2.10(C4^2.12C4)	128,655
C₂.₁₁(C₄².₁₂C₄) = C₄².₆C₈	central stem extension (φ=1)	64		C2.11(C4^2.12C4)	128,895
C₂.₁₂(C₄².₁₂C₄) = C₈.₁₂M₄(2)	central stem extension (φ=1)	64		C2.12(C4^2.12C4)	128,896

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