Extensions 1→N→G→Q→1 with N=C₂×SD₁₆ and Q=C₂

Direct product G=N×Q with N=C₂×SD₁₆ and Q=C₂

		d	ρ	Label	ID
C₂²×SD₁₆		32		C2^2xSD16	64,251

Semidirect products G=N:Q with N=C₂×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SD₁₆)⋊₁C₂ = C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):1C2	64,149
(C₂×SD₁₆)⋊₂C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	16	4	(C2xSD16):2C2	64,152
(C₂×SD₁₆)⋊₃C₂ = C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):3C2	64,177
(C₂×SD₁₆)⋊₄C₂ = C₂×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	16		(C2xSD16):4C2	64,254
(C₂×SD₁₆)⋊₅C₂ = C₂×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):5C2	64,255
(C₂×SD₁₆)⋊₆C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	16	4	(C2xSD16):6C2	64,258
(C₂×SD₁₆)⋊₇C₂ = Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):7C2	64,129
(C₂×SD₁₆)⋊₈C₂ = D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):8C2	64,130
(C₂×SD₁₆)⋊₉C₂ = C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	16		(C2xSD16):9C2	64,131
(C₂×SD₁₆)⋊₁₀C₂ = D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):10C2	64,133
(C₂×SD₁₆)⋊₁₁C₂ = C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):11C2	64,141
(C₂×SD₁₆)⋊₁₂C₂ = D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):12C2	64,144
(C₂×SD₁₆)⋊₁₃C₂ = C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):13C2	64,146
(C₂×SD₁₆)⋊₁₄C₂ = C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):14C2	64,173
(C₂×SD₁₆)⋊₁₅C₂ = C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16):15C2	64,176
(C₂×SD₁₆)⋊₁₆C₂ = C₂×C₄○D₈	φ: trivial image	32		(C2xSD16):16C2	64,253

Non-split extensions G=N.Q with N=C₂×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SD₁₆).₁C₂ = SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16).1C2	64,121
(C₂×SD₁₆).₂C₂ = C₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16).2C2	64,178
(C₂×SD₁₆).₃C₂ = D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16).3C2	64,142
(C₂×SD₁₆).₄C₂ = Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SD₁₆	32		(C2xSD16).4C2	64,145
(C₂×SD₁₆).₅C₂ = C₄×SD₁₆	φ: trivial image	32		(C2xSD16).5C2	64,119

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁