Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₂²

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄²⋊₂C₂		64		C2^2xC4^2:2C2	128,2170

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄²⋊₂C₂⋊₁C₂² = C₂².₇₉C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	16	C4^2:2C2:1C2^2	128,2222
C₄²⋊₂C₂⋊₂C₂² = C₂².₈₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:2C2^2	128,2223
C₄²⋊₂C₂⋊₃C₂² = C₂².₈₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:3C2^2	128,2224
C₄²⋊₂C₂⋊₄C₂² = C₂².₉₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:4C2^2	128,2237
C₄²⋊₂C₂⋊₅C₂² = C₂².₉₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:5C2^2	128,2238
C₄²⋊₂C₂⋊₆C₂² = C₂².₁₀₈C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:6C2^2	128,2251
C₄²⋊₂C₂⋊₇C₂² = C₂³.₁₄₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:7C2^2	128,2252
C₄²⋊₂C₂⋊₈C₂² = C₄²⋊C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	16	C4^2:2C2:8C2^2	128,2264
C₄²⋊₂C₂⋊₉C₂² = C₂².₁₂₂C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:9C2^2	128,2265
C₄²⋊₂C₂⋊₁₀C₂² = C₂².₁₂₃C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:10C2^2	128,2266
C₄²⋊₂C₂⋊₁₁C₂² = C₂².₁₂₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:11C2^2	128,2267
C₄²⋊₂C₂⋊₁₂C₂² = C₂².₁₂₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:12C2^2	128,2268
C₄²⋊₂C₂⋊₁₃C₂² = C₂².₁₂₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:13C2^2	128,2269
C₄²⋊₂C₂⋊₁₄C₂² = C₂².₁₂₇C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:14C2^2	128,2270
C₄²⋊₂C₂⋊₁₅C₂² = C₂².₁₂₈C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:15C2^2	128,2271
C₄²⋊₂C₂⋊₁₆C₂² = C₂².₁₂₉C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:16C2^2	128,2272
C₄²⋊₂C₂⋊₁₇C₂² = C₂².₁₃₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:17C2^2	128,2273
C₄²⋊₂C₂⋊₁₈C₂² = C₂².₁₃₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:18C2^2	128,2274
C₄²⋊₂C₂⋊₁₉C₂² = C₂².₁₄₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:19C2^2	128,2283
C₄²⋊₂C₂⋊₂₀C₂² = C₂².₁₅₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:20C2^2	128,2293
C₄²⋊₂C₂⋊₂₁C₂² = C₂².₁₅₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:21C2^2	128,2298
C₄²⋊₂C₂⋊₂₂C₂² = C₂×C₂².₃₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:22C2^2	128,2182
C₄²⋊₂C₂⋊₂₃C₂² = C₂×C₂².₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:23C2^2	128,2183
C₄²⋊₂C₂⋊₂₄C₂² = C₂×C₂².₃₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:24C2^2	128,2186
C₄²⋊₂C₂⋊₂₅C₂² = C₂².₄₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:25C2^2	128,2187
C₄²⋊₂C₂⋊₂₆C₂² = C₂².₄₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:26C2^2	128,2191
C₄²⋊₂C₂⋊₂₇C₂² = C₂².₄₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:27C2^2	128,2192
C₄²⋊₂C₂⋊₂₈C₂² = C₂×C₂².₄₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:28C2^2	128,2201
C₄²⋊₂C₂⋊₂₉C₂² = C₂×C₂².₄₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:29C2^2	128,2202
C₄²⋊₂C₂⋊₃₀C₂² = C₂×C₂².₄₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:30C2^2	128,2203
C₄²⋊₂C₂⋊₃₁C₂² = C₂×C₂².₅₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:31C2^2	128,2206
C₄²⋊₂C₂⋊₃₂C₂² = C₂².₆₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:32C2^2	128,2207
C₄²⋊₂C₂⋊₃₃C₂² = C₂².₇₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:33C2^2	128,2213
C₄²⋊₂C₂⋊₃₄C₂² = C₂².₈₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:34C2^2	128,2225
C₄²⋊₂C₂⋊₃₅C₂² = C₂².₈₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:35C2^2	128,2226
C₄²⋊₂C₂⋊₃₆C₂² = C₂².₈₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:36C2^2	128,2227
C₄²⋊₂C₂⋊₃₇C₂² = C₂².₉₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:37C2^2	128,2242
C₄²⋊₂C₂⋊₃₈C₂² = C₂².₁₀₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:38C2^2	128,2245
C₄²⋊₂C₂⋊₃₉C₂² = C₂².₁₀₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:39C2^2	128,2246
C₄²⋊₂C₂⋊₄₀C₂² = C₂×C₂².₅₄C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:40C2^2	128,2257
C₄²⋊₂C₂⋊₄₁C₂² = C₂×C₂².₅₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2:41C2^2	128,2260
C₄²⋊₂C₂⋊₄₂C₂² = C₂².₁₁₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:42C2^2	128,2261
C₄²⋊₂C₂⋊₄₃C₂² = C₂².₁₃₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:43C2^2	128,2275
C₄²⋊₂C₂⋊₄₄C₂² = C₂².₁₃₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:44C2^2	128,2277
C₄²⋊₂C₂⋊₄₅C₂² = C₂².₁₃₅C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:45C2^2	128,2278
C₄²⋊₂C₂⋊₄₆C₂² = C₂².₁₄₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:46C2^2	128,2290
C₄²⋊₂C₂⋊₄₇C₂² = C₂².₁₄₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:47C2^2	128,2292
C₄²⋊₂C₂⋊₄₈C₂² = C₂².₁₅₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:48C2^2	128,2294
C₄²⋊₂C₂⋊₄₉C₂² = C₂².₁₅₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:49C2^2	128,2296
C₄²⋊₂C₂⋊₅₀C₂² = C₂².₁₅₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	32	C4^2:2C2:50C2^2	128,2300
C₄²⋊₂C₂⋊₅₁C₂² = C₂×C₂³.₃₆C₂³	φ: trivial image	64	C4^2:2C2:51C2^2	128,2171
C₄²⋊₂C₂⋊₅₂C₂² = C₂².₃₃C₂⁵	φ: trivial image	32	C4^2:2C2:52C2^2	128,2176
C₄²⋊₂C₂⋊₅₃C₂² = C₂².₁₁₀C₂⁵	φ: trivial image	32	C4^2:2C2:53C2^2	128,2253

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄²⋊₂C₂.₁C₂² = C₂².₉₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.1C2^2	128,2239
C₄²⋊₂C₂.₂C₂² = C₂².₉₈C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.2C2^2	128,2241
C₄²⋊₂C₂.₃C₂² = C₂².₁₀₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.3C2^2	128,2243
C₄²⋊₂C₂.₄C₂² = C₂³.₁₄₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.4C2^2	128,2255
C₄²⋊₂C₂.₅C₂² = C₂².₁₃₃C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.5C2^2	128,2276
C₄²⋊₂C₂.₆C₂² = C₂².₁₃₉C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.6C2^2	128,2282
C₄²⋊₂C₂.₇C₂² = C₂².₁₄₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.7C2^2	128,2284
C₄²⋊₂C₂.₈C₂² = C₂².₁₄₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.8C2^2	128,2288
C₄²⋊₂C₂.₉C₂² = C₂².₁₄₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.9C2^2	128,2289
C₄²⋊₂C₂.₁₀C₂² = C₂².₁₅₂C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.10C2^2	128,2295
C₄²⋊₂C₂.₁₁C₂² = C₂².₁₅₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.11C2^2	128,2297
C₄²⋊₂C₂.₁₂C₂² = C₂×C₂².₃₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.12C2^2	128,2185
C₄²⋊₂C₂.₁₃C₂² = C₂².₅₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.13C2^2	128,2193
C₄²⋊₂C₂.₁₄C₂² = C₂².₆₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.14C2^2	128,2212
C₄²⋊₂C₂.₁₅C₂² = C₂².₇₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.15C2^2	128,2214
C₄²⋊₂C₂.₁₆C₂² = C₂².₁₀₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.16C2^2	128,2244
C₄²⋊₂C₂.₁₇C₂² = C₂².₁₀₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.17C2^2	128,2247
C₄²⋊₂C₂.₁₈C₂² = C₂².₁₀₅C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.18C2^2	128,2248
C₄²⋊₂C₂.₁₉C₂² = C₂².₁₀₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.19C2^2	128,2249
C₄²⋊₂C₂.₂₀C₂² = C₂².₁₀₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.20C2^2	128,2250
C₄²⋊₂C₂.₂₁C₂² = C₂².₁₁₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.21C2^2	128,2254
C₄²⋊₂C₂.₂₂C₂² = C₂².₁₂₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.22C2^2	128,2263
C₄²⋊₂C₂.₂₃C₂² = C₂².₁₃₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.23C2^2	128,2279
C₄²⋊₂C₂.₂₄C₂² = C₂².₁₄₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.24C2^2	128,2285
C₄²⋊₂C₂.₂₅C₂² = C₂².₁₄₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.25C2^2	128,2286
C₄²⋊₂C₂.₂₆C₂² = C₂².₁₄₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.26C2^2	128,2287
C₄²⋊₂C₂.₂₇C₂² = C₂².₁₄₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.27C2^2	128,2291
C₄²⋊₂C₂.₂₈C₂² = C₂².₁₅₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64	C4^2:2C2.28C2^2	128,2299
C₄²⋊₂C₂.₂₉C₂² = C₂².₁₁₃C₂⁵	φ: trivial image	64	C4^2:2C2.29C2^2	128,2256

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C42⋊2C2 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₂²