Extensions 1→N→G→Q→1 with N=C₂²⋊C₁₆ and Q=C₂

Direct product G=N×Q with N=C₂²⋊C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊C₁₆		64		C2xC2^2:C16	128,843

Semidirect products G=N:Q with N=C₂²⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₁₆⋊₁C₂ = C₂³⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16:1C2	128,46
C₂²⋊C₁₆⋊₂C₂ = C₂³.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:2C2	128,47
C₂²⋊C₁₆⋊₃C₂ = C₂².SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16:3C2	128,79
C₂²⋊C₁₆⋊₄C₂ = C₂³.₁₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:4C2	128,81
C₂²⋊C₁₆⋊₅C₂ = D₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16:5C2	128,916
C₂²⋊C₁₆⋊₆C₂ = C₂².D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:6C2	128,964
C₂²⋊C₁₆⋊₇C₂ = D₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:7C2	128,918
C₂²⋊C₁₆⋊₈C₂ = D₈.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:8C2	128,921
C₂²⋊C₁₆⋊₉C₂ = C₂³.₁₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:9C2	128,966
C₂²⋊C₁₆⋊₁₀C₂ = Q₁₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:10C2	128,917
C₂²⋊C₁₆⋊₁₁C₂ = D₈.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16:11C2	128,919
C₂²⋊C₁₆⋊₁₂C₂ = C₂³.₄₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:12C2	128,965
C₂²⋊C₁₆⋊₁₃C₂ = C₂⁴.₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16:13C2	128,844
C₂²⋊C₁₆⋊₁₄C₂ = (C₂×D₄).₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:14C2	128,845
C₂²⋊C₁₆⋊₁₅C₂ = C₁₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:15C2	128,900
C₂²⋊C₁₆⋊₁₆C₂ = C₁₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16:16C2	128,901
C₂²⋊C₁₆⋊₁₇C₂ = D₄×C₁₆	φ: trivial image	64		C2^2:C16:17C2	128,899

Non-split extensions G=N.Q with N=C₂²⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₁₆.₁C₂ = C₂².M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.1C2	128,54
C₂²⋊C₁₆.₂C₂ = C₂³.₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.2C2	128,55
C₂²⋊C₁₆.₃C₂ = C₂³.₃₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	32		C2^2:C16.3C2	128,80
C₂²⋊C₁₆.₄C₂ = C₂³.₁₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.4C2	128,82
C₂²⋊C₁₆.₅C₂ = Q₁₆.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.5C2	128,920
C₂²⋊C₁₆.₆C₂ = C₂³.₅₁D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.6C2	128,968
C₂²⋊C₁₆.₇C₂ = C₂³.₂₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.7C2	128,969
C₂²⋊C₁₆.₈C₂ = C₂³.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.8C2	128,967
C₂²⋊C₁₆.₉C₂ = C₄².₆C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.9C2	128,895
C₂²⋊C₁₆.₁₀C₂ = C₈.₁₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₁₆	64		C2^2:C16.10C2	128,896
C₂²⋊C₁₆.₁₁C₂ = C₄².₁₃C₈	φ: trivial image	64		C2^2:C16.11C2	128,894

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