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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁C₆ = C₃×C₂²⋊C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):1C6	192,154
(C₂×C₁₆)⋊₂C₆ = C₃×D₄.C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):2C6	192,156
(C₂×C₁₆)⋊₃C₆ = C₃×C₂.D₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):3C6	192,163
(C₂×C₁₆)⋊₄C₆ = C₃×D₈.C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):4C6	192,165
(C₂×C₁₆)⋊₅C₆ = C₆×D₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):5C6	192,938
(C₂×C₁₆)⋊₆C₆ = C₃×C₄○D₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):6C6	192,941
(C₂×C₁₆)⋊₇C₆ = C₆×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):7C6	192,939
(C₂×C₁₆)⋊₈C₆ = C₆×M₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):8C6	192,936
(C₂×C₁₆)⋊₉C₆ = C₃×D₄○C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):9C6	192,937

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁C₆ = C₃×C₂.Q₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).1C6	192,164
(C₂×C₁₆).₂C₆ = C₃×C₄⋊C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).2C6	192,169
(C₂×C₁₆).₃C₆ = C₃×C₁₆⋊₃C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).3C6	192,172
(C₂×C₁₆).₄C₆ = C₆×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).4C6	192,940
(C₂×C₁₆).₅C₆ = C₃×C₈.₄Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16).5C6	192,174
(C₂×C₁₆).₆C₆ = C₃×C₁₆⋊₄C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).6C6	192,173
(C₂×C₁₆).₇C₆ = C₃×C₁₆⋊₅C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).7C6	192,152
(C₂×C₁₆).₈C₆ = C₃×M₆(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16).8C6	192,176

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