Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₁₆

Direct product G=N×Q with N=C₆ and Q=C₂×C₁₆

		d	ρ	Label	ID
C₂²×C₄₈		192		C2^2xC48	192,935

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂×C₁₆) = S₃×C₂×C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	96		C6:1(C2xC16)	192,458
C₆⋊₂(C₂×C₁₆) = C₂²×C₃⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6:2(C2xC16)	192,655

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₁₆) = S₃×C₃₂	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	96	2	C6.1(C2xC16)	192,5
C₆.₂(C₂×C₁₆) = C₉₆⋊C₂	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	96	2	C6.2(C2xC16)	192,6
C₆.₃(C₂×C₁₆) = Dic₃×C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	192		C6.3(C2xC16)	192,59
C₆.₄(C₂×C₁₆) = Dic₃⋊C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	192		C6.4(C2xC16)	192,60
C₆.₅(C₂×C₁₆) = D₆⋊C₁₆	φ: C₂×C₁₆/C₁₆ → C₂ ⊆ Aut C₆	96		C6.5(C2xC16)	192,66
C₆.₆(C₂×C₁₆) = C₄×C₃⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.6(C2xC16)	192,19
C₆.₇(C₂×C₁₆) = C₁₂⋊C₁₆	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.7(C2xC16)	192,21
C₆.₈(C₂×C₁₆) = C₂×C₃⋊C₃₂	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.8(C2xC16)	192,57
C₆.₉(C₂×C₁₆) = C₃⋊M₆(2)	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	96	2	C6.9(C2xC16)	192,58
C₆.₁₀(C₂×C₁₆) = C₂₄.₉₈D₄	φ: C₂×C₁₆/C₂×C₈ → C₂ ⊆ Aut C₆	96		C6.10(C2xC16)	192,108
C₆.₁₁(C₂×C₁₆) = C₃×C₂²⋊C₁₆	central extension (φ=1)	96		C6.11(C2xC16)	192,154
C₆.₁₂(C₂×C₁₆) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C6.12(C2xC16)	192,169
C₆.₁₃(C₂×C₁₆) = C₃×M₆(2)	central extension (φ=1)	96	2	C6.13(C2xC16)	192,176

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