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Extensions 1→N→G→Q→1 with N=C23.38C23 and Q=C2

Direct product G=N×Q with N=C23.38C23 and Q=C2
dρLabelID
C2×C23.38C2364C2xC2^3.38C2^3128,2179

Semidirect products G=N:Q with N=C23.38C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.38C23⋊1C2 = C42.129D4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:1C2128,735
C23.38C23⋊2C2 = M4(2).D4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3:2C2128,741
C23.38C23⋊3C2 = D4.(C2×D4)φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:3C2128,1741
C23.38C23⋊4C2 = Q8.(C2×D4)φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:4C2128,1743
C23.38C23⋊5C2 = M4(2).C23φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3:5C2128,1752
C23.38C23⋊6C2 = C42.13C23φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3:6C2128,1754
C23.38C23⋊7C2 = C23.10C24φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3:7C2128,1760
C23.38C23⋊8C2 = C42.15C23φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:8C2128,1774
C23.38C23⋊9C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:9C2128,1778
C23.38C23⋊10C2 = (C2×C8)⋊11D4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:10C2128,1789
C23.38C23⋊11C2 = M4(2)⋊17D4φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:11C2128,1795
C23.38C23⋊12C2 = M4(2)⋊10D4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:12C2128,1886
C23.38C23⋊13C2 = M4(2).20D4φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:13C2128,1888
C23.38C23⋊14C2 = C4.152+ 1+4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:14C2128,1932
C23.38C23⋊15C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:15C2128,1933
C23.38C23⋊16C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:16C2128,1953
C23.38C23⋊17C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:17C2128,1957
C23.38C23⋊18C2 = C22.74C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:18C2128,2217
C23.38C23⋊19C2 = C22.75C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:19C2128,2218
C23.38C23⋊20C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:20C2128,2221
C23.38C23⋊21C2 = C22.84C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:21C2128,2227
C23.38C23⋊22C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:22C2128,2231
C23.38C23⋊23C2 = C22.89C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:23C2128,2232
C23.38C23⋊24C2 = C22.96C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:24C2128,2239
C23.38C23⋊25C2 = C22.99C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:25C2128,2242
C23.38C23⋊26C2 = C22.124C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:26C2128,2267
C23.38C23⋊27C2 = C22.127C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:27C2128,2270
C23.38C23⋊28C2 = C22.129C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:28C2128,2272
C23.38C23⋊29C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:29C2128,2273
C23.38C23⋊30C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:30C2128,2276
C23.38C23⋊31C2 = C22.134C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:31C2128,2277
C23.38C23⋊32C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:32C2128,2279
C23.38C23⋊33C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:33C2128,2282
C23.38C23⋊34C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:34C2128,2283
C23.38C23⋊35C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:35C2128,2284
C23.38C23⋊36C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3:36C2128,2286
C23.38C23⋊37C2 = C22.150C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:37C2128,2293
C23.38C23⋊38C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3:38C2128,2294
C23.38C23⋊39C2 = C22.38C25φ: trivial image32C2^3.38C2^3:39C2128,2181
C23.38C23⋊40C2 = C22.50C25φ: trivial image64C2^3.38C2^3:40C2128,2193

Non-split extensions G=N.Q with N=C23.38C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.38C23.1C2 = C4.(C4×D4)φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.1C2128,641
C23.38C23.2C2 = C42.7D4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.2C2128,644
C23.38C23.3C2 = M4(2).50D4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.3C2128,647
C23.38C23.4C2 = C42.130D4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3.4C2128,737
C23.38C23.5C2 = M4(2).7D4φ: C2/C1 → C2 ⊆ Out C23.38C2332C2^3.38C2^3.5C2128,770
C23.38C23.6C2 = C23.(C2×D4)φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.6C2128,855
C23.38C23.7C2 = C4⋊Q8⋊C4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.7C2128,861
C23.38C23.8C2 = C4⋊Q8.C4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.8C2128,865
C23.38C23.9C2 = (C2×D4).137D4φ: C2/C1 → C2 ⊆ Out C23.38C23328-C2^3.38C2^3.9C2128,867
C23.38C23.10C2 = C42.17C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.10C2128,1776
C23.38C23.11C2 = C8.D4⋊C2φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.11C2128,1791
C23.38C23.12C2 = (C2×D4).302D4φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.12C2128,1829
C23.38C23.13C2 = C42.367C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.13C2128,1869
C23.38C23.14C2 = C4.172+ 1+4φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.14C2128,1934
C23.38C23.15C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.15C2128,1955
C23.38C23.16C2 = C22.98C25φ: C2/C1 → C2 ⊆ Out C23.38C2364C2^3.38C2^3.16C2128,2241

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