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

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

		d	ρ	Label	ID
C₂²×C₁₆		64		C2^2xC16	64,183

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁C₂ = C₂²⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32		(C2xC16):1C2	64,29
(C₂×C₁₆)⋊₂C₂ = D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16):2C2	64,31
(C₂×C₁₆)⋊₃C₂ = C₂.D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32		(C2xC16):3C2	64,38
(C₂×C₁₆)⋊₄C₂ = D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16):4C2	64,40
(C₂×C₁₆)⋊₅C₂ = C₂×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32		(C2xC16):5C2	64,186
(C₂×C₁₆)⋊₆C₂ = C₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16):6C2	64,189
(C₂×C₁₆)⋊₇C₂ = C₂×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32		(C2xC16):7C2	64,187
(C₂×C₁₆)⋊₈C₂ = C₂×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32		(C2xC16):8C2	64,184
(C₂×C₁₆)⋊₉C₂ = D₄○C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16):9C2	64,185

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁C₂ = C₂.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).1C2	64,39
(C₂×C₁₆).₂C₂ = C₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).2C2	64,44
(C₂×C₁₆).₃C₂ = C₁₆⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).3C2	64,47
(C₂×C₁₆).₄C₂ = C₂×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).4C2	64,188
(C₂×C₁₆).₅C₂ = C₈.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16).5C2	64,49
(C₂×C₁₆).₆C₂ = C₁₆⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).6C2	64,48
(C₂×C₁₆).₇C₂ = C₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).7C2	64,27
(C₂×C₁₆).₈C₂ = M₆(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16).8C2	64,51

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁