Extensions 1→N→G→Q→1 with N=C₂×SD₁₆ and Q=D₇

Direct product G=N×Q with N=C₂×SD₁₆ and Q=D₇

		d	ρ	Label	ID
C₂×D₇×SD₁₆		112		C2xD7xSD16	448,1211

Semidirect products G=N:Q with N=C₂×SD₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SD₁₆)⋊₁D₇ = C₅₆⋊₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):1D7	448,708
(C₂×SD₁₆)⋊₂D₇ = C₅₆⋊₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):2D7	448,710
(C₂×SD₁₆)⋊₃D₇ = C₅₆.₄₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	112	4	(C2xSD16):3D7	448,711
(C₂×SD₁₆)⋊₄D₇ = C₂×D₅₆⋊C₂	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	112		(C2xSD16):4D7	448,1212
(C₂×SD₁₆)⋊₅D₇ = C₂×SD₁₆⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):5D7	448,1213
(C₂×SD₁₆)⋊₆D₇ = D₂₈.₂₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	112	4	(C2xSD16):6D7	448,1215
(C₂×SD₁₆)⋊₇D₇ = Dic₇⋊₅SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):7D7	448,697
(C₂×SD₁₆)⋊₈D₇ = (C₇×D₄).D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):8D7	448,699
(C₂×SD₁₆)⋊₉D₇ = C₅₆.₄₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):9D7	448,702
(C₂×SD₁₆)⋊₁₀D₇ = D₁₄⋊₆SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	112		(C2xSD16):10D7	448,703
(C₂×SD₁₆)⋊₁₁D₇ = Dic₁₄⋊₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):11D7	448,704
(C₂×SD₁₆)⋊₁₂D₇ = C₅₆⋊₁₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):12D7	448,705
(C₂×SD₁₆)⋊₁₃D₇ = D₂₈⋊₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):13D7	448,706
(C₂×SD₁₆)⋊₁₄D₇ = Dic₁₄.₁₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):14D7	448,707
(C₂×SD₁₆)⋊₁₅D₇ = C₅₆⋊₁₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16):15D7	448,709
(C₂×SD₁₆)⋊₁₆D₇ = C₂×SD₁₆⋊₃D₇	φ: trivial image	224		(C2xSD16):16D7	448,1214

Non-split extensions G=N.Q with N=C₂×SD₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SD₁₆).₁D₇ = SD₁₆⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16).1D7	448,698
(C₂×SD₁₆).₂D₇ = C₅₆.₃₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16).2D7	448,701
(C₂×SD₁₆).₃D₇ = Dic₇⋊₃SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16).3D7	448,696
(C₂×SD₁₆).₄D₇ = (C₇×Q₈).D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×SD₁₆	224		(C2xSD16).4D7	448,700
(C₂×SD₁₆).₅D₇ = SD₁₆×Dic₇	φ: trivial image	224		(C2xSD16).5D7	448,695

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁