Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₁₆

Direct product G=N×Q with N=C₂² and Q=C₂×C₁₆

		d	ρ	Label	ID
C₂³×C₁₆		128		C2^3xC16	128,2136

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×C₁₆) = D₄×C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:1(C2xC16)	128,899
C₂²⋊₂(C₂×C₁₆) = C₂×C₂²⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2:2(C2xC16)	128,843

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₁₆) = D₄○C₃₂	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₂²	64	2	C2^2.1(C2xC16)	128,990
C₂².₂(C₂×C₁₆) = C₂³⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.2(C2xC16)	128,46
C₂².₃(C₂×C₁₆) = C₂².M₅(2)	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.3(C2xC16)	128,54
C₂².₄(C₂×C₁₆) = C₂³.C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.4(C2xC16)	128,132
C₂².₅(C₂×C₁₆) = C₄².₁₃C₈	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.5(C2xC16)	128,894
C₂².₆(C₂×C₁₆) = C₂².₇M₅(2)	central extension (φ=1)	128		C2^2.6(C2xC16)	128,106
C₂².₇(C₂×C₁₆) = C₃₂⋊₅C₄	central extension (φ=1)	128		C2^2.7(C2xC16)	128,129
C₂².₈(C₂×C₁₆) = C₂²⋊C₃₂	central extension (φ=1)	64		C2^2.8(C2xC16)	128,131
C₂².₉(C₂×C₁₆) = C₄⋊C₃₂	central extension (φ=1)	128		C2^2.9(C2xC16)	128,153
C₂².₁₀(C₂×C₁₆) = C₂×C₄⋊C₁₆	central extension (φ=1)	128		C2^2.10(C2xC16)	128,881
C₂².₁₁(C₂×C₁₆) = C₂×M₆(2)	central extension (φ=1)	64		C2^2.11(C2xC16)	128,989

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