Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₁₆

Direct product G=NxQ with N=C₆ and Q=C₂xC₁₆

		d	ρ	Label	ID
C₂²xC₄₈		192		C2^2xC48	192,935

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₂xC₁₆) = S₃xC₂xC₁₆	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	96		C6:1(C2xC16)	192,458
C₆:₂(C₂xC₁₆) = C₂²xC₃:C₁₆	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6:2(C2xC16)	192,655

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₁₆) = S₃xC₃₂	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	96	2	C6.1(C2xC16)	192,5
C₆.₂(C₂xC₁₆) = C₉₆:C₂	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	96	2	C6.2(C2xC16)	192,6
C₆.₃(C₂xC₁₆) = Dic₃xC₁₆	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	192		C6.3(C2xC16)	192,59
C₆.₄(C₂xC₁₆) = Dic₃:C₁₆	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	192		C6.4(C2xC16)	192,60
C₆.₅(C₂xC₁₆) = D₆:C₁₆	φ: C₂xC₁₆/C₁₆ → C₂ ⊆ Aut C₆	96		C6.5(C2xC16)	192,66
C₆.₆(C₂xC₁₆) = C₄xC₃:C₁₆	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.6(C2xC16)	192,19
C₆.₇(C₂xC₁₆) = C₁₂:C₁₆	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.7(C2xC16)	192,21
C₆.₈(C₂xC₁₆) = C₂xC₃:C₃₂	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192		C6.8(C2xC16)	192,57
C₆.₉(C₂xC₁₆) = C₃:M₆(2)	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	96	2	C6.9(C2xC16)	192,58
C₆.₁₀(C₂xC₁₆) = C₂₄.₉₈D₄	φ: C₂xC₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	96		C6.10(C2xC16)	192,108
C₆.₁₁(C₂xC₁₆) = C₃xC₂²:C₁₆	central extension (φ=1)	96		C6.11(C2xC16)	192,154
C₆.₁₂(C₂xC₁₆) = C₃xC₄:C₁₆	central extension (φ=1)	192		C6.12(C2xC16)	192,169
C₆.₁₃(C₂xC₁₆) = C₃xM₆(2)	central extension (φ=1)	96	2	C6.13(C2xC16)	192,176

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