# Extensions 1→N→G→Q→1 with N=C23.41C23 and Q=C2

Direct product G=N×Q with N=C23.41C23 and Q=C2
dρLabelID
C2×C23.41C2364C2xC2^3.41C2^3128,2189

Semidirect products G=N:Q with N=C23.41C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.41C231C2 = (C2×C4)⋊SD16φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:1C2128,331
C23.41C232C2 = (C2×D4)⋊2Q8φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:2C2128,759
C23.41C233C2 = C42.20C23φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:3C2128,1813
C23.41C234C2 = C42.22C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:4C2128,1815
C23.41C235C2 = C42.23C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:5C2128,1816
C23.41C236C2 = C42.366C23φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:6C2128,1868
C23.41C237C2 = C42.367C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:7C2128,1869
C23.41C238C2 = C42.423C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:8C2128,1973
C23.41C239C2 = C42.425C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:9C2128,1975
C23.41C2310C2 = C42.426C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:10C2128,1976
C23.41C2311C2 = C22.81C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:11C2128,2224
C23.41C2312C2 = C22.82C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:12C2128,2225
C23.41C2313C2 = C22.83C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:13C2128,2226
C23.41C2314C2 = C22.84C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:14C2128,2227
C23.41C2315C2 = C22.90C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:15C2128,2233
C23.41C2316C2 = C22.92C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:16C2128,2235
C23.41C2317C2 = C22.93C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:17C2128,2236
C23.41C2318C2 = C22.124C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:18C2128,2267
C23.41C2319C2 = C22.127C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:19C2128,2270
C23.41C2320C2 = C22.133C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:20C2128,2276
C23.41C2321C2 = C22.136C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:21C2128,2279
C23.41C2322C2 = C22.141C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:22C2128,2284
C23.41C2323C2 = C22.144C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:23C2128,2287
C23.41C2324C2 = C22.148C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:24C2128,2291
C23.41C2325C2 = C22.152C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:25C2128,2295
C23.41C2326C2 = C22.153C25φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3:26C2128,2296
C23.41C2327C2 = C22.154C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3:27C2128,2297
C23.41C2328C2 = C22.47C25φ: trivial image32C2^3.41C2^3:28C2128,2190
C23.41C2329C2 = C22.49C25φ: trivial image32C2^3.41C2^3:29C2128,2192
C23.41C2330C2 = C22.50C25φ: trivial image64C2^3.41C2^3:30C2128,2193

Non-split extensions G=N.Q with N=C23.41C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.41C23.1C2 = (C2×C4)⋊Q16φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.1C2128,337
C23.41C23.2C2 = (C2×C4).SD16φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.2C2128,343
C23.41C23.3C2 = C4⋊C4.20D4φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.3C2128,349
C23.41C23.4C2 = (C2×Q8)⋊2Q8φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.4C2128,760
C23.41C23.5C2 = M4(2)⋊Q8φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.5C2128,792
C23.41C23.6C2 = C423Q8φ: C2/C1C2 ⊆ Out C23.41C2332C2^3.41C2^3.6C2128,793
C23.41C23.7C2 = C42.21C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3.7C2128,1814
C23.41C23.8C2 = M4(2)⋊3Q8φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3.8C2128,1895
C23.41C23.9C2 = M4(2)⋊4Q8φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3.9C2128,1896
C23.41C23.10C2 = C42.424C23φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3.10C2128,1974
C23.41C23.11C2 = C22.91C25φ: C2/C1C2 ⊆ Out C23.41C2364C2^3.41C2^3.11C2128,2234

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