Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂³

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₂²⋊C₄		64		C2^3xC2^2:C4	128,2151

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂³ = C₂×C₂≀C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:1C2^3	128,1755
C₂²⋊C₄⋊₂C₂³ = C₂×C₂³.₇D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:2C2^3	128,1756
C₂²⋊C₄⋊₃C₂³ = C₂⁴⋊C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16	8+	C2^2:C4:3C2^3	128,1758
C₂²⋊C₄⋊₄C₂³ = C₂×C₂³⋊₃D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:4C2^3	128,2177
C₂²⋊C₄⋊₅C₂³ = C₂×C₂².₂₉C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:5C2^3	128,2178
C₂²⋊C₄⋊₆C₂³ = C₂×C₂².₃₂C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:6C2^3	128,2182
C₂²⋊C₄⋊₇C₂³ = C₂×D₄²	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:7C2^3	128,2194
C₂²⋊C₄⋊₈C₂³ = C₂×C₂².₄₅C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:8C2^3	128,2201
C₂²⋊C₄⋊₉C₂³ = C₂².₇₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:9C2^3	128,2216
C₂²⋊C₄⋊₁₀C₂³ = C₂×C₂².₅₄C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:10C2^3	128,2257
C₂²⋊C₄⋊₁₁C₂³ = C₂×C₂⁴⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4:11C2^3	128,2258
C₂²⋊C₄⋊₁₂C₂³ = C₄²⋊C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:12C2^3	128,2264
C₂²⋊C₄⋊₁₃C₂³ = C₂²×C₂³⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:13C2^3	128,1613
C₂²⋊C₄⋊₁₄C₂³ = C₂²×C₂²≀C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:14C2^3	128,2163
C₂²⋊C₄⋊₁₅C₂³ = C₂²×C₄⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4:15C2^3	128,2164
C₂²⋊C₄⋊₁₆C₂³ = C₂²×C₂².D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4:16C2^3	128,2166
C₂²⋊C₄⋊₁₇C₂³ = C₂×C₂².₁₉C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:17C2^3	128,2167
C₂²⋊C₄⋊₁₈C₂³ = C₂²×C₄.₄D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4:18C2^3	128,2168
C₂²⋊C₄⋊₁₉C₂³ = C₂×D₄⋊₅D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:19C2^3	128,2195
C₂²⋊C₄⋊₂₀C₂³ = C₂².₇₉C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4:20C2^3	128,2222
C₂²⋊C₄⋊₂₁C₂³ = D₄×C₂²×C₄	φ: trivial image	64		C2^2:C4:21C2^3	128,2154
C₂²⋊C₄⋊₂₂C₂³ = C₂×C₂².₁₁C₂⁴	φ: trivial image	32		C2^2:C4:22C2^3	128,2157

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂³ = C₂³.₇C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16	4	C2^2:C4.1C2^3	128,1757
C₂²⋊C₄.₂C₂³ = C₂³.₉C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	16	8+	C2^2:C4.2C2^3	128,1759
C₂²⋊C₄.₃C₂³ = C₂³.₁₀C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32	8-	C2^2:C4.3C2^3	128,1760
C₂²⋊C₄.₄C₂³ = C₂×C₂³.₃₈C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.4C2^3	128,2179
C₂²⋊C₄.₅C₂³ = C₂×C₂².₃₁C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.5C2^3	128,2180
C₂²⋊C₄.₆C₂³ = C₂².₃₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.6C2^3	128,2181
C₂²⋊C₄.₇C₂³ = C₂×C₂².₃₃C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.7C2^3	128,2183
C₂²⋊C₄.₈C₂³ = C₂×C₂².₃₄C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.8C2^3	128,2184
C₂²⋊C₄.₉C₂³ = C₂×C₂².₃₅C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.9C2^3	128,2185
C₂²⋊C₄.₁₀C₂³ = C₂×C₂².₃₆C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.10C2^3	128,2186
C₂²⋊C₄.₁₁C₂³ = C₂².₄₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.11C2^3	128,2187
C₂²⋊C₄.₁₂C₂³ = C₂×D₄⋊₆D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.12C2^3	128,2196
C₂²⋊C₄.₁₃C₂³ = D₄×C₄○D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.13C2^3	128,2200
C₂²⋊C₄.₁₄C₂³ = C₂×C₂².₄₆C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.14C2^3	128,2202
C₂²⋊C₄.₁₅C₂³ = C₂².₇₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.15C2^3	128,2217
C₂²⋊C₄.₁₆C₂³ = C₂².₇₅C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.16C2^3	128,2218
C₂²⋊C₄.₁₇C₂³ = C₂².₇₇C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.17C2^3	128,2220
C₂²⋊C₄.₁₈C₂³ = C₂².₇₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.18C2^3	128,2221
C₂²⋊C₄.₁₉C₂³ = C₂².₈₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.19C2^3	128,2227
C₂²⋊C₄.₂₀C₂³ = C₄⋊2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.20C2^3	128,2228
C₂²⋊C₄.₂₁C₂³ = C₄⋊2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.21C2^3	128,2229
C₂²⋊C₄.₂₂C₂³ = C₂².₈₇C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.22C2^3	128,2230
C₂²⋊C₄.₂₃C₂³ = C₂².₈₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.23C2^3	128,2231
C₂²⋊C₄.₂₄C₂³ = C₂².₈₉C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.24C2^3	128,2232
C₂²⋊C₄.₂₅C₂³ = C₂².₉₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.25C2^3	128,2241
C₂²⋊C₄.₂₆C₂³ = C₂².₁₀₂C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.26C2^3	128,2245
C₂²⋊C₄.₂₇C₂³ = C₂².₁₀₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.27C2^3	128,2246
C₂²⋊C₄.₂₈C₂³ = C₂².₁₀₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.28C2^3	128,2247
C₂²⋊C₄.₂₉C₂³ = C₂².₁₀₅C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.29C2^3	128,2248
C₂²⋊C₄.₃₀C₂³ = C₂².₁₀₇C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.30C2^3	128,2250
C₂²⋊C₄.₃₁C₂³ = C₂².₁₀₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.31C2^3	128,2251
C₂²⋊C₄.₃₂C₂³ = C₂³.₁₄₄C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.32C2^3	128,2252
C₂²⋊C₄.₃₃C₂³ = C₂².₁₁₀C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.33C2^3	128,2253
C₂²⋊C₄.₃₄C₂³ = C₂².₁₁₁C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.34C2^3	128,2254
C₂²⋊C₄.₃₅C₂³ = C₂³.₁₄₆C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.35C2^3	128,2255
C₂²⋊C₄.₃₆C₂³ = C₂×C₂².₅₆C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.36C2^3	128,2259
C₂²⋊C₄.₃₇C₂³ = C₂×C₂².₅₇C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.37C2^3	128,2260
C₂²⋊C₄.₃₈C₂³ = C₂².₁₁₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.38C2^3	128,2261
C₂²⋊C₄.₃₉C₂³ = C₂².₁₂₀C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.39C2^3	128,2263
C₂²⋊C₄.₄₀C₂³ = C₂².₁₂₂C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.40C2^3	128,2265
C₂²⋊C₄.₄₁C₂³ = C₂².₁₂₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.41C2^3	128,2266
C₂²⋊C₄.₄₂C₂³ = C₂².₁₂₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.42C2^3	128,2267
C₂²⋊C₄.₄₃C₂³ = C₂².₁₂₅C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.43C2^3	128,2268
C₂²⋊C₄.₄₄C₂³ = C₂².₁₂₆C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.44C2^3	128,2269
C₂²⋊C₄.₄₅C₂³ = C₂².₁₂₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.45C2^3	128,2271
C₂²⋊C₄.₄₆C₂³ = C₂².₁₃₀C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.46C2^3	128,2273
C₂²⋊C₄.₄₇C₂³ = C₂².₁₃₂C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.47C2^3	128,2275
C₂²⋊C₄.₄₈C₂³ = C₂².₁₃₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.48C2^3	128,2276
C₂²⋊C₄.₄₉C₂³ = C₂².₁₃₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.49C2^3	128,2277
C₂²⋊C₄.₅₀C₂³ = C₂².₁₃₅C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.50C2^3	128,2278
C₂²⋊C₄.₅₁C₂³ = C₂².₁₃₆C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.51C2^3	128,2279
C₂²⋊C₄.₅₂C₂³ = C₂².₁₃₇C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.52C2^3	128,2280
C₂²⋊C₄.₅₃C₂³ = C₂².₁₃₈C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.53C2^3	128,2281
C₂²⋊C₄.₅₄C₂³ = C₂².₁₃₉C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.54C2^3	128,2282
C₂²⋊C₄.₅₅C₂³ = C₂².₁₄₁C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.55C2^3	128,2284
C₂²⋊C₄.₅₆C₂³ = C₂².₁₄₂C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.56C2^3	128,2285
C₂²⋊C₄.₅₇C₂³ = C₂².₁₄₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.57C2^3	128,2286
C₂²⋊C₄.₅₈C₂³ = C₂².₁₄₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.58C2^3	128,2287
C₂²⋊C₄.₅₉C₂³ = C₂².₁₄₅C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.59C2^3	128,2288
C₂²⋊C₄.₆₀C₂³ = C₂².₁₄₆C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.60C2^3	128,2289
C₂²⋊C₄.₆₁C₂³ = C₂².₁₄₉C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.61C2^3	128,2292
C₂²⋊C₄.₆₂C₂³ = C₂².₁₅₀C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.62C2^3	128,2293
C₂²⋊C₄.₆₃C₂³ = C₂².₁₅₃C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.63C2^3	128,2296
C₂²⋊C₄.₆₄C₂³ = C₂².₁₅₄C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.64C2^3	128,2297
C₂²⋊C₄.₆₅C₂³ = C₂².₁₅₇C₂⁵	φ: C₂³/C₂ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.65C2^3	128,2300
C₂²⋊C₄.₆₆C₂³ = C₂×C₂³.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.66C2^3	128,1614
C₂²⋊C₄.₆₇C₂³ = C₂³.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	16	8+	C2^2:C4.67C2^3	128,1615
C₂²⋊C₄.₆₈C₂³ = C₂³.₄C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32	8-	C2^2:C4.68C2^3	128,1616
C₂²⋊C₄.₆₉C₂³ = C₂²×C₂²⋊Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.69C2^3	128,2165
C₂²⋊C₄.₇₀C₂³ = C₂²×C₄²⋊₂C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.70C2^3	128,2170
C₂²⋊C₄.₇₁C₂³ = C₂×C₂³.₃₆C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.71C2^3	128,2171
C₂²⋊C₄.₇₂C₂³ = C₂×C₂².₂₆C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.72C2^3	128,2174
C₂²⋊C₄.₇₃C₂³ = C₂×C₂³.₃₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.73C2^3	128,2175
C₂²⋊C₄.₇₄C₂³ = C₂².₃₃C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.74C2^3	128,2176
C₂²⋊C₄.₇₅C₂³ = C₂×C₂³⋊₂Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.75C2^3	128,2188
C₂²⋊C₄.₇₆C₂³ = C₂×C₂³.₄₁C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.76C2^3	128,2189
C₂²⋊C₄.₇₇C₂³ = C₂².₄₇C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.77C2^3	128,2190
C₂²⋊C₄.₇₈C₂³ = C₂².₄₈C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.78C2^3	128,2191
C₂²⋊C₄.₇₉C₂³ = C₂².₄₉C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.79C2^3	128,2192
C₂²⋊C₄.₈₀C₂³ = C₂².₅₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.80C2^3	128,2193
C₂²⋊C₄.₈₁C₂³ = C₂×Q₈⋊₅D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.81C2^3	128,2197
C₂²⋊C₄.₈₂C₂³ = C₂×D₄×Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.82C2^3	128,2198
C₂²⋊C₄.₈₃C₂³ = C₂×Q₈⋊₆D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.83C2^3	128,2199
C₂²⋊C₄.₈₄C₂³ = C₂×C₂².₄₇C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.84C2^3	128,2203
C₂²⋊C₄.₈₅C₂³ = C₂×D₄⋊₃Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.85C2^3	128,2204
C₂²⋊C₄.₈₆C₂³ = C₂×C₂².₄₉C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.86C2^3	128,2205
C₂²⋊C₄.₈₇C₂³ = C₂×C₂².₅₀C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.87C2^3	128,2206
C₂²⋊C₄.₈₈C₂³ = C₂².₆₄C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.88C2^3	128,2207
C₂²⋊C₄.₈₉C₂³ = Q₈×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.89C2^3	128,2210
C₂²⋊C₄.₉₀C₂³ = C₂×C₂².₅₃C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.90C2^3	128,2211
C₂²⋊C₄.₉₁C₂³ = C₂².₆₉C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.91C2^3	128,2212
C₂²⋊C₄.₉₂C₂³ = C₂².₇₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.92C2^3	128,2213
C₂²⋊C₄.₉₃C₂³ = C₂².₇₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.93C2^3	128,2214
C₂²⋊C₄.₉₄C₂³ = C₂².₇₂C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.94C2^3	128,2215
C₂²⋊C₄.₉₅C₂³ = C₂².₇₆C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.95C2^3	128,2219
C₂²⋊C₄.₉₆C₂³ = C₂².₈₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.96C2^3	128,2223
C₂²⋊C₄.₉₇C₂³ = C₂².₈₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.97C2^3	128,2224
C₂²⋊C₄.₉₈C₂³ = C₂².₈₂C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.98C2^3	128,2225
C₂²⋊C₄.₉₉C₂³ = C₂².₈₃C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.99C2^3	128,2226
C₂²⋊C₄.₁₀₀C₂³ = C₂².₉₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.100C2^3	128,2233
C₂²⋊C₄.₁₀₁C₂³ = C₂².₉₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.101C2^3	128,2234
C₂²⋊C₄.₁₀₂C₂³ = C₂².₉₂C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.102C2^3	128,2235
C₂²⋊C₄.₁₀₃C₂³ = C₂².₉₃C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.103C2^3	128,2236
C₂²⋊C₄.₁₀₄C₂³ = C₂².₉₄C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.104C2^3	128,2237
C₂²⋊C₄.₁₀₅C₂³ = C₂².₉₅C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.105C2^3	128,2238
C₂²⋊C₄.₁₀₆C₂³ = C₂².₉₆C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.106C2^3	128,2239
C₂²⋊C₄.₁₀₇C₂³ = C₂².₉₇C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.107C2^3	128,2240
C₂²⋊C₄.₁₀₈C₂³ = C₂².₉₉C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.108C2^3	128,2242
C₂²⋊C₄.₁₀₉C₂³ = C₂².₁₀₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.109C2^3	128,2243
C₂²⋊C₄.₁₁₀C₂³ = C₂².₁₀₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.110C2^3	128,2244
C₂²⋊C₄.₁₁₁C₂³ = C₂².₁₀₆C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.111C2^3	128,2249
C₂²⋊C₄.₁₁₂C₂³ = C₂².₁₁₃C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.112C2^3	128,2256
C₂²⋊C₄.₁₁₃C₂³ = C₂².₁₂₇C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.113C2^3	128,2270
C₂²⋊C₄.₁₁₄C₂³ = C₂².₁₂₉C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.114C2^3	128,2272
C₂²⋊C₄.₁₁₅C₂³ = C₂².₁₃₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.115C2^3	128,2274
C₂²⋊C₄.₁₁₆C₂³ = C₂².₁₄₀C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.116C2^3	128,2283
C₂²⋊C₄.₁₁₇C₂³ = C₂².₁₄₇C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.117C2^3	128,2290
C₂²⋊C₄.₁₁₈C₂³ = C₂².₁₄₈C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.118C2^3	128,2291
C₂²⋊C₄.₁₁₉C₂³ = C₂².₁₅₁C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.119C2^3	128,2294
C₂²⋊C₄.₁₂₀C₂³ = C₂².₁₅₂C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.120C2^3	128,2295
C₂²⋊C₄.₁₂₁C₂³ = C₂².₁₅₅C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.121C2^3	128,2298
C₂²⋊C₄.₁₂₂C₂³ = C₂².₁₅₆C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.122C2^3	128,2299
C₂²⋊C₄.₁₂₃C₂³ = C₂²×C₄²⋊C₂	φ: trivial image	64		C2^2:C4.123C2^3	128,2153
C₂²⋊C₄.₁₂₄C₂³ = C₂×C₄×C₄○D₄	φ: trivial image	64		C2^2:C4.124C2^3	128,2156
C₂²⋊C₄.₁₂₅C₂³ = C₂×C₂³.₃₂C₂³	φ: trivial image	64		C2^2:C4.125C2^3	128,2158
C₂²⋊C₄.₁₂₆C₂³ = C₂×C₂³.₃₃C₂³	φ: trivial image	64		C2^2:C4.126C2^3	128,2159
C₂²⋊C₄.₁₂₇C₂³ = C₂².₁₄C₂⁵	φ: trivial image	32		C2^2:C4.127C2^3	128,2160
C₂²⋊C₄.₁₂₈C₂³ = C₄×2₊¹⁺⁴	φ: trivial image	32		C2^2:C4.128C2^3	128,2161
C₂²⋊C₄.₁₂₉C₂³ = C₄×2_-¹⁺⁴	φ: trivial image	64		C2^2:C4.129C2^3	128,2162

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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C23

Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂³