Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄Q₁₆

Direct product G=N×Q with N=C₂ and Q=C₂².₄Q₁₆

		d	ρ	Label	ID
C₂×C₂².₄Q₁₆		128		C2xC2^2.4Q16	128,466

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₄Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂².₄Q₁₆) = C₄².₃₈₅D₄	central extension (φ=1)	128		C2.1(C2^2.4Q16)	128,9
C₂.₂(C₂².₄Q₁₆) = C₄².₄₆Q₈	central extension (φ=1)	128		C2.2(C2^2.4Q16)	128,11
C₂.₃(C₂².₄Q₁₆) = C₄².₅Q₈	central stem extension (φ=1)	32		C2.3(C2^2.4Q16)	128,18
C₂.₄(C₂².₄Q₁₆) = C₂³.₈D₈	central stem extension (φ=1)	32		C2.4(C2^2.4Q16)	128,21
C₂.₅(C₂².₄Q₁₆) = C₄².₂₇D₄	central stem extension (φ=1)	64		C2.5(C2^2.4Q16)	128,24
C₂.₆(C₂².₄Q₁₆) = C₂³.₃₀D₈	central stem extension (φ=1)	32		C2.6(C2^2.4Q16)	128,26
C₂.₇(C₂².₄Q₁₆) = C₄².₈Q₈	central stem extension (φ=1)	128		C2.7(C2^2.4Q16)	128,28
C₂.₈(C₂².₄Q₁₆) = C₄².₃₈₉D₄	central stem extension (φ=1)	64		C2.8(C2^2.4Q16)	128,33
C₂.₉(C₂².₄Q₁₆) = C₄².₁₀Q₈	central stem extension (φ=1)	32		C2.9(C2^2.4Q16)	128,35
C₂.₁₀(C₂².₄Q₁₆) = C₈.₇C₄²	central stem extension (φ=1)	128		C2.10(C2^2.4Q16)	128,112
C₂.₁₁(C₂².₄Q₁₆) = C₈.₈C₄²	central stem extension (φ=1)	64		C2.11(C2^2.4Q16)	128,113
C₂.₁₂(C₂².₄Q₁₆) = C₈.₉C₄²	central stem extension (φ=1)	64		C2.12(C2^2.4Q16)	128,114
C₂.₁₃(C₂².₄Q₁₆) = C₈.₁₁C₄²	central stem extension (φ=1)	32		C2.13(C2^2.4Q16)	128,115
C₂.₁₄(C₂².₄Q₁₆) = C₂³.₉D₈	central stem extension (φ=1)	32	4	C2.14(C2^2.4Q16)	128,116
C₂.₁₅(C₂².₄Q₁₆) = C₈.₁₃C₄²	central stem extension (φ=1)	32	4	C2.15(C2^2.4Q16)	128,117
C₂.₁₆(C₂².₄Q₁₆) = C₈.C₄²	central stem extension (φ=1)	32		C2.16(C2^2.4Q16)	128,118
C₂.₁₇(C₂².₄Q₁₆) = C₈.₂C₄²	central stem extension (φ=1)	64		C2.17(C2^2.4Q16)	128,119
C₂.₁₈(C₂².₄Q₁₆) = M₅(2).C₄	central stem extension (φ=1)	32	4	C2.18(C2^2.4Q16)	128,120
C₂.₁₉(C₂².₄Q₁₆) = C₈.₄C₄²	central stem extension (φ=1)	32	4	C2.19(C2^2.4Q16)	128,121

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