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

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

		d	ρ	Label	ID
C₂×C₂.C₄²		64		C2xC2.C4^2	64,56

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂.C₄²) = C₂².₇C₄²	central extension (φ=1)	64		C2.1(C2.C4^2)	64,17
C₂.₂(C₂.C₄²) = C₄.₉C₄²	central stem extension (φ=1)	16	4	C2.2(C2.C4^2)	64,18
C₂.₃(C₂.C₄²) = C₄.₁₀C₄²	central stem extension (φ=1)	16	4	C2.3(C2.C4^2)	64,19
C₂.₄(C₂.C₄²) = C₄²⋊₆C₄	central stem extension (φ=1)	16		C2.4(C2.C4^2)	64,20
C₂.₅(C₂.C₄²) = C₂².₄Q₁₆	central stem extension (φ=1)	64		C2.5(C2.C4^2)	64,21
C₂.₆(C₂.C₄²) = C₄.C₄²	central stem extension (φ=1)	32		C2.6(C2.C4^2)	64,22
C₂.₇(C₂.C₄²) = C₂³.₉D₄	central stem extension (φ=1)	16		C2.7(C2.C4^2)	64,23
C₂.₈(C₂.C₄²) = C₂².C₄²	central stem extension (φ=1)	32		C2.8(C2.C4^2)	64,24
C₂.₉(C₂.C₄²) = M₄(2)⋊₄C₄	central stem extension (φ=1)	16	4	C2.9(C2.C4^2)	64,25

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