Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².M₄(2)

Direct product G=N×Q with N=C₂ and Q=C₂².M₄(2)

		d	ρ	Label	ID
C₂×C₂².M₄(2)		64		C2xC2^2.M4(2)	128,189

Non-split extensions G=N.Q with N=C₂ and Q=C₂².M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂².M₄(2)) = C₂³.₁₉C₄²	central extension (φ=1)	64		C2.1(C2^2.M4(2))	128,12
C₂.₂(C₂².M₄(2)) = C₂².M₅(2)	central extension (φ=1)	64		C2.2(C2^2.M4(2))	128,54
C₂.₃(C₂².M₄(2)) = C₄⋊C₄⋊C₈	central stem extension (φ=1)	128		C2.3(C2^2.M4(2))	128,3
C₂.₄(C₂².M₄(2)) = C₂³.₇M₄(2)	central stem extension (φ=1)	64		C2.4(C2^2.M4(2))	128,55
C₂.₅(C₂².M₄(2)) = C₄²⋊C₈	central stem extension (φ=1)	32		C2.5(C2^2.M4(2))	128,56
C₂.₆(C₂².M₄(2)) = C₄²⋊₃C₈	central stem extension (φ=1)	32		C2.6(C2^2.M4(2))	128,57
C₂.₇(C₂².M₄(2)) = C₂³.₂M₄(2)	central stem extension (φ=1)	32		C2.7(C2^2.M4(2))	128,58
C₂.₈(C₂².M₄(2)) = C₄².C₈	central stem extension (φ=1)	16	4	C2.8(C2^2.M4(2))	128,59
C₂.₉(C₂².M₄(2)) = C₂²⋊C₄.C₈	central stem extension (φ=1)	32	4	C2.9(C2^2.M4(2))	128,60

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