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Extensions 1→N→G→Q→1 with N=C22.31C24 and Q=C2

Direct product G=NxQ with N=C22.31C24 and Q=C2
dρLabelID
C2xC22.31C2464C2xC2^2.31C2^4128,2180

Semidirect products G=N:Q with N=C22.31C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.31C24:1C2 = (C2xC4):D8φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:1C2128,330
C22.31C24:2C2 = M4(2):D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:2C2128,738
C22.31C24:3C2 = (C2xD4):21D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:3C2128,1744
C22.31C24:4C2 = (C2xQ8):17D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:4C2128,1745
C22.31C24:5C2 = (C2xC8):13D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:5C2128,1792
C22.31C24:6C2 = (C2xC8):14D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:6C2128,1793
C22.31C24:7C2 = M4(2):16D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:7C2128,1794
C22.31C24:8C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:8C2128,1930
C22.31C24:9C2 = C4.182+ 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:9C2128,1935
C22.31C24:10C2 = C4.192+ 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:10C2128,1936
C22.31C24:11C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:11C2128,2220
C22.31C24:12C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:12C2128,2221
C22.31C24:13C2 = C22.81C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:13C2128,2224
C22.31C24:14C2 = C22.82C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:14C2128,2225
C22.31C24:15C2 = C4:2+ 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:15C2128,2228
C22.31C24:16C2 = C4:2- 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:16C2128,2229
C22.31C24:17C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:17C2128,2243
C22.31C24:18C2 = C22.101C25φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:18C2128,2244
C22.31C24:19C2 = C22.123C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:19C2128,2266
C22.31C24:20C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:20C2128,2268
C22.31C24:21C2 = C22.128C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:21C2128,2271
C22.31C24:22C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:22C2128,2273
C22.31C24:23C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:23C2128,2274
C22.31C24:24C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:24C2128,2278
C22.31C24:25C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:25C2128,2279
C22.31C24:26C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:26C2128,2280
C22.31C24:27C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:27C2128,2283
C22.31C24:28C2 = C22.148C25φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4:28C2128,2291
C22.31C24:29C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4:29C2128,2292
C22.31C24:30C2 = C22.38C25φ: trivial image32C2^2.31C2^4:30C2128,2181
C22.31C24:31C2 = C22.49C25φ: trivial image32C2^2.31C2^4:31C2128,2192

Non-split extensions G=N.Q with N=C22.31C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.31C24.1C2 = Q8:D4:C2φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.1C2128,336
C22.31C24.2C2 = (C2xC4).5D8φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.2C2128,342
C22.31C24.3C2 = C4:C4.19D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.3C2128,348
C22.31C24.4C2 = M4(2):4D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.4C2128,739
C22.31C24.5C2 = C42:11D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.5C2128,771
C22.31C24.6C2 = C42:12D4φ: C2/C1 → C2 ⊆ Out C22.31C2432C2^2.31C2^4.6C2128,772
C22.31C24.7C2 = M4(2):17D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4.7C2128,1795
C22.31C24.8C2 = (C2xD4).303D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4.8C2128,1830
C22.31C24.9C2 = (C2xD4).304D4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4.9C2128,1831
C22.31C24.10C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out C22.31C2464C2^2.31C2^4.10C2128,1933
C22.31C24.11C2 = C22.50C25φ: trivial image64C2^2.31C2^4.11C2128,2193

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