Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=C₂

Direct product G=N×Q with N=C₂²⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊Q₈		32		C2xC2^2:Q8	64,204

Semidirect products G=N:Q with N=C₂²⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈⋊₁C₂ = C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8:1C2	64,131
C₂²⋊Q₈⋊₂C₂ = D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:2C2	64,133
C₂²⋊Q₈⋊₃C₂ = C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:3C2	64,146
C₂²⋊Q₈⋊₄C₂ = C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:4C2	64,149
C₂²⋊Q₈⋊₅C₂ = C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:5C2	64,217
C₂²⋊Q₈⋊₆C₂ = C₂².₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:6C2	64,218
C₂²⋊Q₈⋊₇C₂ = C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8:7C2	64,219
C₂²⋊Q₈⋊₈C₂ = C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:8C2	64,220
C₂²⋊Q₈⋊₉C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:9C2	64,223
C₂²⋊Q₈⋊₁₀C₂ = C₂³⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8:10C2	64,224
C₂²⋊Q₈⋊₁₁C₂ = D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8:11C2	64,227
C₂²⋊Q₈⋊₁₂C₂ = D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:12C2	64,228
C₂²⋊Q₈⋊₁₃C₂ = Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:13C2	64,229
C₂²⋊Q₈⋊₁₄C₂ = D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:14C2	64,230
C₂²⋊Q₈⋊₁₅C₂ = C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8:15C2	64,232
C₂²⋊Q₈⋊₁₆C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:16C2	64,233
C₂²⋊Q₈⋊₁₇C₂ = D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:17C2	64,235
C₂²⋊Q₈⋊₁₈C₂ = C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:18C2	64,237
C₂²⋊Q₈⋊₁₉C₂ = C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:19C2	64,243
C₂²⋊Q₈⋊₂₀C₂ = C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8:20C2	64,244
C₂²⋊Q₈⋊₂₁C₂ = C₂².₁₉C₂⁴	φ: trivial image	16	C2^2:Q8:21C2	64,206
C₂²⋊Q₈⋊₂₂C₂ = C₂³.₃₆C₂³	φ: trivial image	32	C2^2:Q8:22C2	64,210

Non-split extensions G=N.Q with N=C₂²⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈.₁C₂ = C₂³.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	16	C2^2:Q8.1C2	64,9
C₂²⋊Q₈.₂C₂ = C₂²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.2C2	64,132
C₂²⋊Q₈.₃C₂ = C₈.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.3C2	64,148
C₂²⋊Q₈.₄C₂ = C₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.4C2	64,151
C₂²⋊Q₈.₅C₂ = C₂³.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.5C2	64,164
C₂²⋊Q₈.₆C₂ = C₂³.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.6C2	64,165
C₂²⋊Q₈.₇C₂ = C₂³.₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.7C2	64,166
C₂²⋊Q₈.₈C₂ = C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.8C2	64,222
C₂²⋊Q₈.₉C₂ = C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Q₈	32	C2^2:Q8.9C2	64,225
C₂²⋊Q₈.₁₀C₂ = C₂³.₃₇C₂³	φ: trivial image	32	C2^2:Q8.10C2	64,214

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Extensions 1→N→G→Q→1 with N=C22⋊Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=C₂