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

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

		d	ρ	Label	ID
C₂²×C₄².C₂		128		C2^2xC4^2.C2	128,2169

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

extension	φ:Q→Out N	d	Label	ID
C₄².C₂⋊₁C₂² = C₄².₂₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:1C2^2	128,1813
C₄².C₂⋊₂C₂² = C₄².₃₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:2C2^2	128,1854
C₄².C₂⋊₃C₂² = C₄².₃₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:3C2^2	128,1855
C₄².C₂⋊₄C₂² = C₄².₃₆₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:4C2^2	128,1868
C₄².C₂⋊₅C₂² = C₄².₄₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:5C2^2	128,1952
C₄².C₂⋊₆C₂² = C₄².₄₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:6C2^2	128,1954
C₄².C₂⋊₇C₂² = C₄².₄₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:7C2^2	128,2028
C₄².C₂⋊₈C₂² = C₄².₄₆₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:8C2^2	128,2029
C₄².C₂⋊₉C₂² = C₄².₄₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:9C2^2	128,2042
C₄².C₂⋊₁₀C₂² = C₄².₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:10C2^2	128,2050
C₄².C₂⋊₁₁C₂² = C₄².₄₇₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:11C2^2	128,2054
C₄².C₂⋊₁₂C₂² = C₄².₄₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:12C2^2	128,2055
C₄².C₂⋊₁₃C₂² = C₂².₈₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:13C2^2	128,2224
C₄².C₂⋊₁₄C₂² = C₂².₈₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:14C2^2	128,2227
C₄².C₂⋊₁₅C₂² = C₂².₉₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:15C2^2	128,2233
C₄².C₂⋊₁₆C₂² = C₂².₁₂₂C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:16C2^2	128,2265
C₄².C₂⋊₁₇C₂² = C₂².₁₂₃C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:17C2^2	128,2266
C₄².C₂⋊₁₈C₂² = C₂².₁₂₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:18C2^2	128,2267
C₄².C₂⋊₁₉C₂² = C₂².₁₂₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:19C2^2	128,2268
C₄².C₂⋊₂₀C₂² = C₂².₁₂₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:20C2^2	128,2269
C₄².C₂⋊₂₁C₂² = C₂².₁₂₇C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:21C2^2	128,2270
C₄².C₂⋊₂₂C₂² = C₂².₁₂₈C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:22C2^2	128,2271
C₄².C₂⋊₂₃C₂² = C₂².₁₃₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:23C2^2	128,2273
C₄².C₂⋊₂₄C₂² = C₂².₁₃₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:24C2^2	128,2274
C₄².C₂⋊₂₅C₂² = C₂².₁₄₀C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:25C2^2	128,2283
C₄².C₂⋊₂₆C₂² = C₂².₁₄₉C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:26C2^2	128,2292
C₄².C₂⋊₂₇C₂² = C₂².₁₅₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:27C2^2	128,2294
C₄².C₂⋊₂₈C₂² = C₂².₁₅₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	32	C4^2.C2:28C2^2	128,2298
C₄².C₂⋊₂₉C₂² = C₂×D₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:29C2^2	128,1804
C₄².C₂⋊₃₀C₂² = C₄².₂₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:30C2^2	128,1809
C₄².C₂⋊₃₁C₂² = C₄².₂₂₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:31C2^2	128,1837
C₄².C₂⋊₃₂C₂² = C₄².₂₃₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:32C2^2	128,1846
C₄².C₂⋊₃₃C₂² = C₂×C₄².₇₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:33C2^2	128,1862
C₄².C₂⋊₃₄C₂² = C₂×C₄².₂₉C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:34C2^2	128,1865
C₄².C₂⋊₃₅C₂² = C₄².₂₄₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:35C2^2	128,1870
C₄².C₂⋊₃₆C₂² = C₄².₂₄₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:36C2^2	128,1872
C₄².C₂⋊₃₇C₂² = C₄².₂₆₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:37C2^2	128,1943
C₄².C₂⋊₃₈C₂² = C₄².₂₇₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:38C2^2	128,1949
C₄².C₂⋊₃₉C₂² = C₂×C₂².₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:39C2^2	128,2183
C₄².C₂⋊₄₀C₂² = C₂×C₂².₃₄C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:40C2^2	128,2184
C₄².C₂⋊₄₁C₂² = C₂×C₂².₃₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:41C2^2	128,2185
C₄².C₂⋊₄₂C₂² = C₂².₄₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:42C2^2	128,2187
C₄².C₂⋊₄₃C₂² = C₂×C₂³.₄₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:43C2^2	128,2189
C₄².C₂⋊₄₄C₂² = C₂².₄₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:44C2^2	128,2190
C₄².C₂⋊₄₅C₂² = C₂².₄₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:45C2^2	128,2191
C₄².C₂⋊₄₆C₂² = C₂².₄₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:46C2^2	128,2192
C₄².C₂⋊₄₇C₂² = C₂×C₂².₄₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:47C2^2	128,2202
C₄².C₂⋊₄₈C₂² = C₂×C₂².₄₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:48C2^2	128,2203
C₄².C₂⋊₄₉C₂² = C₂×D₄⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:49C2^2	128,2204
C₄².C₂⋊₅₀C₂² = C₂².₆₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:50C2^2	128,2207
C₄².C₂⋊₅₁C₂² = C₂².₇₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:51C2^2	128,2213
C₄².C₂⋊₅₂C₂² = C₂².₈₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:52C2^2	128,2223
C₄².C₂⋊₅₃C₂² = C₂².₈₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:53C2^2	128,2225
C₄².C₂⋊₅₄C₂² = C₂².₈₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:54C2^2	128,2226
C₄².C₂⋊₅₅C₂² = C₂².₉₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:55C2^2	128,2237
C₄².C₂⋊₅₆C₂² = C₂².₉₅C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:56C2^2	128,2238
C₄².C₂⋊₅₇C₂² = C₂².₉₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:57C2^2	128,2240
C₄².C₂⋊₅₈C₂² = C₂².₁₀₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:58C2^2	128,2245
C₄².C₂⋊₅₉C₂² = C₂².₁₀₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:59C2^2	128,2251
C₄².C₂⋊₆₀C₂² = C₂³.₁₄₄C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:60C2^2	128,2252
C₄².C₂⋊₆₁C₂² = C₂².₁₁₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:61C2^2	128,2253
C₄².C₂⋊₆₂C₂² = C₂×C₂².₅₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:62C2^2	128,2259
C₄².C₂⋊₆₃C₂² = C₂×C₂².₅₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2:63C2^2	128,2260
C₄².C₂⋊₆₄C₂² = C₂².₁₁₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:64C2^2	128,2261
C₄².C₂⋊₆₅C₂² = C₂².₁₃₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:65C2^2	128,2275
C₄².C₂⋊₆₆C₂² = C₂².₁₃₄C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:66C2^2	128,2277
C₄².C₂⋊₆₇C₂² = C₂².₁₃₅C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:67C2^2	128,2278
C₄².C₂⋊₆₈C₂² = C₂².₁₄₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:68C2^2	128,2290
C₄².C₂⋊₆₉C₂² = C₂².₁₅₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:69C2^2	128,2293
C₄².C₂⋊₇₀C₂² = C₂².₁₅₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:70C2^2	128,2296
C₄².C₂⋊₇₁C₂² = C₂².₁₅₇C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	32	C4^2.C2:71C2^2	128,2300
C₄².C₂⋊₇₂C₂² = C₂×C₂³.₃₆C₂³	φ: trivial image	64	C4^2.C2:72C2^2	128,2171
C₄².C₂⋊₇₃C₂² = C₂×C₂³.₃₇C₂³	φ: trivial image	64	C4^2.C2:73C2^2	128,2175
C₄².C₂⋊₇₄C₂² = C₂².₃₃C₂⁵	φ: trivial image	32	C4^2.C2:74C2^2	128,2176
C₄².C₂⋊₇₅C₂² = C₂².₉₉C₂⁵	φ: trivial image	32	C4^2.C2:75C2^2	128,2242
C₄².C₂⋊₇₆C₂² = C₂².₁₀₃C₂⁵	φ: trivial image	32	C4^2.C2:76C2^2	128,2246

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

extension	φ:Q→Out N	d	Label	ID
C₄².C₂.₁C₂² = C₄².₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.1C2^2	128,388
C₄².C₂.₂C₂² = C₄².₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.2C2^2	128,389
C₄².C₂.₃C₂² = C₄².₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.3C2^2	128,390
C₄².C₂.₄C₂² = C₄².₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.4C2^2	128,392
C₄².C₂.₅C₂² = C₄².₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.5C2^2	128,393
C₄².C₂.₆C₂² = C₄².₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.6C2^2	128,394
C₄².C₂.₇C₂² = C₄².₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	128	C4^2.C2.7C2^2	128,395
C₄².C₂.₈C₂² = C₄².₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.8C2^2	128,396
C₄².C₂.₉C₂² = C₄².₂₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.9C2^2	128,1814
C₄².C₂.₁₀C₂² = C₄².₂₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.10C2^2	128,1815
C₄².C₂.₁₁C₂² = C₄².₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.11C2^2	128,1816
C₄².C₂.₁₂C₂² = C₄².₃₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.12C2^2	128,1851
C₄².C₂.₁₃C₂² = C₄².₃₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.13C2^2	128,1852
C₄².C₂.₁₄C₂² = C₄².₃₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.14C2^2	128,1858
C₄².C₂.₁₅C₂² = C₄².₃₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.15C2^2	128,1859
C₄².C₂.₁₆C₂² = C₄².₃₆₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.16C2^2	128,1869
C₄².C₂.₁₇C₂² = M₄(2)⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.17C2^2	128,1895
C₄².C₂.₁₈C₂² = M₄(2)⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.18C2^2	128,1896
C₄².C₂.₁₉C₂² = C₄².₃₈₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.19C2^2	128,1906
C₄².C₂.₂₀C₂² = C₄².₃₈₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.20C2^2	128,1908
C₄².C₂.₂₁C₂² = C₄².₃₈₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.21C2^2	128,1909
C₄².C₂.₂₂C₂² = C₄².₃₉₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.22C2^2	128,1910
C₄².C₂.₂₃C₂² = C₄².₃₉₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.23C2^2	128,1911
C₄².C₂.₂₄C₂² = C₄².₄₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.24C2^2	128,1953
C₄².C₂.₂₅C₂² = C₄².₄₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.25C2^2	128,1955
C₄².C₂.₂₆C₂² = C₄².₄₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.26C2^2	128,1973
C₄².C₂.₂₇C₂² = C₄².₄₂₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.27C2^2	128,1974
C₄².C₂.₂₈C₂² = C₄².₄₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.28C2^2	128,1975
C₄².C₂.₂₉C₂² = C₄².₄₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.29C2^2	128,1976
C₄².C₂.₃₀C₂² = C₄.2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.30C2^2	128,1989
C₄².C₂.₃₁C₂² = C₄².₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.31C2^2	128,1990
C₄².C₂.₃₂C₂² = C₄².₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.32C2^2	128,1991
C₄².C₂.₃₃C₂² = C₄².₂₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.33C2^2	128,1992
C₄².C₂.₃₄C₂² = C₄².₂₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.34C2^2	128,1993
C₄².C₂.₃₅C₂² = C₄².₄₆₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.35C2^2	128,2032
C₄².C₂.₃₆C₂² = C₄².₄₆₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.36C2^2	128,2033
C₄².C₂.₃₇C₂² = C₄².₄₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.37C2^2	128,2039
C₄².C₂.₃₈C₂² = C₄².₄₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.38C2^2	128,2041
C₄².C₂.₃₉C₂² = C₄².₄₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.39C2^2	128,2044
C₄².C₂.₄₀C₂² = C₄².₅₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.40C2^2	128,2047
C₄².C₂.₄₁C₂² = C₄².₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.41C2^2	128,2049
C₄².C₂.₄₂C₂² = C₄².₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.42C2^2	128,2052
C₄².C₂.₄₃C₂² = C₄².₄₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.43C2^2	128,2058
C₄².C₂.₄₄C₂² = C₄².₄₇₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.44C2^2	128,2059
C₄².C₂.₄₅C₂² = C₄².₄₈₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.45C2^2	128,2068
C₄².C₂.₄₆C₂² = C₄².₄₈₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.46C2^2	128,2069
C₄².C₂.₄₇C₂² = C₄².₄₈₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.47C2^2	128,2071
C₄².C₂.₄₈C₂² = C₄².₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.48C2^2	128,2075
C₄².C₂.₄₉C₂² = C₄².₅₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.49C2^2	128,2076
C₄².C₂.₅₀C₂² = C₄².₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.50C2^2	128,2077
C₄².C₂.₅₁C₂² = C₄².₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.51C2^2	128,2078
C₄².C₂.₅₂C₂² = C₄².₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.52C2^2	128,2079
C₄².C₂.₅₃C₂² = C₄².₆₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.53C2^2	128,2080
C₄².C₂.₅₄C₂² = C₄².₆₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.54C2^2	128,2081
C₄².C₂.₅₅C₂² = C₄².₆₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.55C2^2	128,2082
C₄².C₂.₅₆C₂² = C₄².₄₉₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.56C2^2	128,2083
C₄².C₂.₅₇C₂² = C₄².₄₉₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.57C2^2	128,2084
C₄².C₂.₅₈C₂² = C₄².₄₉₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.58C2^2	128,2087
C₄².C₂.₅₉C₂² = C₄².₅₀₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.59C2^2	128,2092
C₄².C₂.₆₀C₂² = C₄².₅₀₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.60C2^2	128,2093
C₄².C₂.₆₁C₂² = C₄².₅₀₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.61C2^2	128,2096
C₄².C₂.₆₂C₂² = C₄².₅₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.62C2^2	128,2097
C₄².C₂.₆₃C₂² = C₄².₅₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.63C2^2	128,2098
C₄².C₂.₆₄C₂² = C₄².₅₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.64C2^2	128,2100
C₄².C₂.₆₅C₂² = C₄².₅₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.65C2^2	128,2102
C₄².C₂.₆₆C₂² = C₄².₅₁₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.66C2^2	128,2103
C₄².C₂.₆₇C₂² = C₄².₅₁₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.67C2^2	128,2104
C₄².C₂.₆₈C₂² = C₄².₅₁₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	128	C4^2.C2.68C2^2	128,2106
C₄².C₂.₆₉C₂² = C₄².₅₁₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.69C2^2	128,2108
C₄².C₂.₇₀C₂² = C₄².₅₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.70C2^2	128,2109
C₄².C₂.₇₁C₂² = D₈⋊₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.71C2^2	128,2112
C₄².C₂.₇₂C₂² = SD₁₆⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.72C2^2	128,2113
C₄².C₂.₇₃C₂² = Q₁₆⋊₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	128	C4^2.C2.73C2^2	128,2115
C₄².C₂.₇₄C₂² = D₈⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.74C2^2	128,2116
C₄².C₂.₇₅C₂² = SD₁₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.75C2^2	128,2117
C₄².C₂.₇₆C₂² = SD₁₆⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.76C2^2	128,2118
C₄².C₂.₇₇C₂² = Q₁₆⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	128	C4^2.C2.77C2^2	128,2119
C₄².C₂.₇₈C₂² = SD₁₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.78C2^2	128,2120
C₄².C₂.₇₉C₂² = D₈⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.79C2^2	128,2121
C₄².C₂.₈₀C₂² = Q₁₆⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	128	C4^2.C2.80C2^2	128,2122
C₄².C₂.₈₁C₂² = C₂².₉₁C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.81C2^2	128,2234
C₄².C₂.₈₂C₂² = C₂².₉₈C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.82C2^2	128,2241
C₄².C₂.₈₃C₂² = C₂².₁₀₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.83C2^2	128,2249
C₄².C₂.₈₄C₂² = C₂².₁₃₇C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.84C2^2	128,2280
C₄².C₂.₈₅C₂² = C₂².₁₄₃C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.85C2^2	128,2286
C₄².C₂.₈₆C₂² = C₂².₁₄₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.86C2^2	128,2287
C₄².C₂.₈₇C₂² = C₂².₁₄₅C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.87C2^2	128,2288
C₄².C₂.₈₈C₂² = C₂².₁₅₂C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.88C2^2	128,2295
C₄².C₂.₈₉C₂² = C₂².₁₅₄C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.89C2^2	128,2297
C₄².C₂.₉₀C₂² = C₂².₁₅₆C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₄².C₂	64	C4^2.C2.90C2^2	128,2299
C₄².C₂.₉₁C₂² = C₂×C₄².₂C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.91C2^2	128,255
C₄².C₂.₉₂C₂² = C₄².₆₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.92C2^2	128,256
C₄².C₂.₉₃C₂² = C₄².₄₀₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.93C2^2	128,258
C₄².C₂.₉₄C₂² = C₄².₄₀₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.94C2^2	128,260
C₄².C₂.₉₅C₂² = C₄².₃₇₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.95C2^2	128,261
C₄².C₂.₉₆C₂² = C₄².₆₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.96C2^2	128,263
C₄².C₂.₉₇C₂² = C₄².₆₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.97C2^2	128,264
C₄².C₂.₉₈C₂² = C₄².₇₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.98C2^2	128,266
C₄².C₂.₉₉C₂² = C₄².₇₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.99C2^2	128,267
C₄².C₂.₁₀₀C₂² = C₄².₇₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.100C2^2	128,269
C₄².C₂.₁₀₁C₂² = C₂×Q₈.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.101C2^2	128,1807
C₄².C₂.₁₀₂C₂² = C₄².₄₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.102C2^2	128,1808
C₄².C₂.₁₀₃C₂² = C₄².₂₂₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.103C2^2	128,1810
C₄².C₂.₁₀₄C₂² = C₄².₄₄₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.104C2^2	128,1812
C₄².C₂.₁₀₅C₂² = C₄².₃₈₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.105C2^2	128,1834
C₄².C₂.₁₀₆C₂² = C₄².₂₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.106C2^2	128,1840
C₄².C₂.₁₀₇C₂² = C₄².₂₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.107C2^2	128,1843
C₄².C₂.₁₀₈C₂² = C₄².₂₃₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.108C2^2	128,1849
C₄².C₂.₁₀₉C₂² = C₄².₃₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.109C2^2	128,1863
C₄².C₂.₁₁₀C₂² = C₂×C₄².₃₀C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.110C2^2	128,1866
C₄².C₂.₁₁₁C₂² = C₄².₂₃₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.111C2^2	128,1867
C₄².C₂.₁₁₂C₂² = C₄².₂₄₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.112C2^2	128,1871
C₄².C₂.₁₁₃C₂² = C₄².₂₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.113C2^2	128,1874
C₄².C₂.₁₁₄C₂² = C₂×C₈.₅Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.114C2^2	128,1890
C₄².C₂.₁₁₅C₂² = C₄².₃₆₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.115C2^2	128,1892
C₄².C₂.₁₁₆C₂² = C₂×C₈⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.116C2^2	128,1893
C₄².C₂.₁₁₇C₂² = C₄².₂₅₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.117C2^2	128,1894
C₄².C₂.₁₁₈C₂² = M₄(2)⋊₅Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.118C2^2	128,1897
C₄².C₂.₁₁₉C₂² = M₄(2)⋊₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.119C2^2	128,1898
C₄².C₂.₁₂₀C₂² = C₄².₃₀₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.120C2^2	128,1900
C₄².C₂.₁₂₁C₂² = C₄².₂₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.121C2^2	128,1903
C₄².C₂.₁₂₂C₂² = C₄².₂₅₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.122C2^2	128,1904
C₄².C₂.₁₂₃C₂² = C₄².₂₅₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.123C2^2	128,1912
C₄².C₂.₁₂₄C₂² = C₄².₂₅₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.124C2^2	128,1913
C₄².C₂.₁₂₅C₂² = C₄².₂₆₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.125C2^2	128,1915
C₄².C₂.₁₂₆C₂² = C₄².₂₇₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.126C2^2	128,1944
C₄².C₂.₁₂₇C₂² = C₄².₂₇₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.127C2^2	128,1950
C₄².C₂.₁₂₈C₂² = C₄².₂₇₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.128C2^2	128,1951
C₄².C₂.₁₂₉C₂² = C₄².₂₈₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.129C2^2	128,1960
C₄².C₂.₁₃₀C₂² = C₄².₂₈₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.130C2^2	128,1963
C₄².C₂.₁₃₁C₂² = C₄².₂₈₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.131C2^2	128,1964
C₄².C₂.₁₃₂C₂² = C₄².₂₈₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.132C2^2	128,1965
C₄².C₂.₁₃₃C₂² = C₄².₂₈₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.133C2^2	128,1966
C₄².C₂.₁₃₄C₂² = C₄².₂₈₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.134C2^2	128,1967
C₄².C₂.₁₃₅C₂² = C₄².₂₈₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.135C2^2	128,1968
C₄².C₂.₁₃₆C₂² = C₄².₂₈₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.136C2^2	128,1969
C₄².C₂.₁₃₇C₂² = C₄².₂₉₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.137C2^2	128,1970
C₄².C₂.₁₃₈C₂² = C₄².₂₉₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.138C2^2	128,1971
C₄².C₂.₁₃₉C₂² = C₄².₂₉₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.139C2^2	128,1972
C₄².C₂.₁₄₀C₂² = C₄².₂₉₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.140C2^2	128,1979
C₄².C₂.₁₄₁C₂² = C₄².₂₉₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.141C2^2	128,1980
C₄².C₂.₁₄₂C₂² = C₄².₂₉₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.142C2^2	128,1982
C₄².C₂.₁₄₃C₂² = C₄².₂₉₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.143C2^2	128,1983
C₄².C₂.₁₄₄C₂² = C₄².₃₀₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.144C2^2	128,1984
C₄².C₂.₁₄₅C₂² = C₄².₃₀₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.145C2^2	128,1988
C₄².C₂.₁₄₆C₂² = C₂².₅₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.146C2^2	128,2193
C₄².C₂.₁₄₇C₂² = C₂×Q₈⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.147C2^2	128,2208
C₄².C₂.₁₄₈C₂² = Q₈×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.148C2^2	128,2210
C₄².C₂.₁₄₉C₂² = C₂².₆₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.149C2^2	128,2212
C₄².C₂.₁₅₀C₂² = C₂².₇₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.150C2^2	128,2214
C₄².C₂.₁₅₁C₂² = C₂².₉₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.151C2^2	128,2235
C₄².C₂.₁₅₂C₂² = C₂².₉₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.152C2^2	128,2236
C₄².C₂.₁₅₃C₂² = C₂².₉₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.153C2^2	128,2239
C₄².C₂.₁₅₄C₂² = C₂².₁₀₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.154C2^2	128,2243
C₄².C₂.₁₅₅C₂² = C₂².₁₀₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.155C2^2	128,2244
C₄².C₂.₁₅₆C₂² = C₂².₁₀₅C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.156C2^2	128,2248
C₄².C₂.₁₅₇C₂² = C₂².₁₁₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.157C2^2	128,2254
C₄².C₂.₁₅₈C₂² = C₂³.₁₄₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.158C2^2	128,2255
C₄².C₂.₁₅₉C₂² = C₂².₁₁₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.159C2^2	128,2256
C₄².C₂.₁₆₀C₂² = C₂×C₂².₅₈C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	128	C4^2.C2.160C2^2	128,2262
C₄².C₂.₁₆₁C₂² = C₂².₁₂₀C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.161C2^2	128,2263
C₄².C₂.₁₆₂C₂² = C₂².₁₃₃C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.162C2^2	128,2276
C₄².C₂.₁₆₃C₂² = C₂².₁₃₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.163C2^2	128,2279
C₄².C₂.₁₆₄C₂² = C₂².₁₃₉C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.164C2^2	128,2282
C₄².C₂.₁₆₅C₂² = C₂².₁₄₁C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.165C2^2	128,2284
C₄².C₂.₁₆₆C₂² = C₂².₁₄₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.166C2^2	128,2285
C₄².C₂.₁₆₇C₂² = C₂².₁₄₆C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.167C2^2	128,2289
C₄².C₂.₁₆₈C₂² = C₂².₁₄₈C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄².C₂	64	C4^2.C2.168C2^2	128,2291
C₄².C₂.₁₆₉C₂² = C₂².₁₀₄C₂⁵	φ: trivial image	64	C4^2.C2.169C2^2	128,2247
C₄².C₂.₁₇₀C₂² = C₂².₁₀₇C₂⁵	φ: trivial image	64	C4^2.C2.170C2^2	128,2250

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

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