# Extensions 1→N→G→Q→1 with N=C25 and Q=C22

Direct product G=N×Q with N=C25 and Q=C22
dρLabelID
C27128C2^7128,2328

Semidirect products G=N:Q with N=C25 and Q=C22
extensionφ:Q→Aut NdρLabelID
C251C22 = C247D4φ: C22/C1C22 ⊆ Aut C2532C2^5:1C2^2128,1135
C252C22 = C25⋊C22φ: C22/C1C22 ⊆ Aut C2532C2^5:2C2^2128,1411
C253C22 = C2×C2≀C22φ: C22/C1C22 ⊆ Aut C2516C2^5:3C2^2128,1755
C254C22 = C2×C233D4φ: C22/C1C22 ⊆ Aut C2532C2^5:4C2^2128,2177
C255C22 = C2×D42φ: C22/C1C22 ⊆ Aut C2532C2^5:5C2^2128,2194
C256C22 = C22.73C25φ: C22/C1C22 ⊆ Aut C2516C2^5:6C2^2128,2216
C257C22 = C2×C24⋊C22φ: C22/C1C22 ⊆ Aut C2532C2^5:7C2^2128,2258
C258C22 = C42⋊C23φ: C22/C1C22 ⊆ Aut C2516C2^5:8C2^2128,2264
C259C22 = C22×2+ 1+4φ: C22/C1C22 ⊆ Aut C2532C2^5:9C2^2128,2323
C2510C22 = C22×C22≀C2φ: C22/C2C2 ⊆ Aut C2532C2^5:10C2^2128,2163
C2511C22 = D4×C24φ: C22/C2C2 ⊆ Aut C2564C2^5:11C2^2128,2320

Non-split extensions G=N.Q with N=C25 and Q=C22
extensionφ:Q→Aut NdρLabelID
C25.1C22 = C24.4Q8φ: C22/C1C22 ⊆ Aut C2516C2^5.1C2^2128,36
C25.2C22 = C232C42φ: C22/C1C22 ⊆ Aut C2564C2^5.2C2^2128,169
C25.3C22 = C24.50D4φ: C22/C1C22 ⊆ Aut C2564C2^5.3C2^2128,170
C25.4C22 = C24.5Q8φ: C22/C1C22 ⊆ Aut C2564C2^5.4C2^2128,171
C25.5C22 = C24.52D4φ: C22/C1C22 ⊆ Aut C2564C2^5.5C2^2128,172
C25.6C22 = C2×C23.9D4φ: C22/C1C22 ⊆ Aut C2532C2^5.6C2^2128,471
C25.7C22 = C25⋊C4φ: C22/C1C22 ⊆ Aut C2516C2^5.7C2^2128,513
C25.8C22 = C24.68D4φ: C22/C1C22 ⊆ Aut C2516C2^5.8C2^2128,551
C25.9C22 = C25.C22φ: C22/C1C22 ⊆ Aut C2516C2^5.9C2^2128,621
C25.10C22 = C24.78D4φ: C22/C1C22 ⊆ Aut C2516C2^5.10C2^2128,630
C25.11C22 = C24⋊D4φ: C22/C1C22 ⊆ Aut C2516C2^5.11C2^2128,753
C25.12C22 = C242Q8φ: C22/C1C22 ⊆ Aut C2516C2^5.12C2^2128,761
C25.13C22 = C23⋊C42φ: C22/C1C22 ⊆ Aut C2532C2^5.13C2^2128,1005
C25.14C22 = C2×C23.23D4φ: C22/C1C22 ⊆ Aut C2564C2^5.14C2^2128,1019
C25.15C22 = C2×C24.C22φ: C22/C1C22 ⊆ Aut C2564C2^5.15C2^2128,1021
C25.16C22 = C2×C24.3C22φ: C22/C1C22 ⊆ Aut C2564C2^5.16C2^2128,1024
C25.17C22 = C24.90D4φ: C22/C1C22 ⊆ Aut C2532C2^5.17C2^2128,1040
C25.18C22 = C23.191C24φ: C22/C1C22 ⊆ Aut C2532C2^5.18C2^2128,1041
C25.19C22 = C23.194C24φ: C22/C1C22 ⊆ Aut C2532C2^5.19C2^2128,1044
C25.20C22 = C24.91D4φ: C22/C1C22 ⊆ Aut C2532C2^5.20C2^2128,1047
C25.21C22 = C23.203C24φ: C22/C1C22 ⊆ Aut C2532C2^5.21C2^2128,1053
C25.22C22 = D4×C22⋊C4φ: C22/C1C22 ⊆ Aut C2532C2^5.22C2^2128,1070
C25.23C22 = C23.224C24φ: C22/C1C22 ⊆ Aut C2532C2^5.23C2^2128,1074
C25.24C22 = C23.240C24φ: C22/C1C22 ⊆ Aut C2532C2^5.24C2^2128,1090
C25.25C22 = C23.257C24φ: C22/C1C22 ⊆ Aut C2532C2^5.25C2^2128,1107
C25.26C22 = C2×C232D4φ: C22/C1C22 ⊆ Aut C2564C2^5.26C2^2128,1116
C25.27C22 = C2×C23⋊Q8φ: C22/C1C22 ⊆ Aut C2564C2^5.27C2^2128,1117
C25.28C22 = C2×C23.10D4φ: C22/C1C22 ⊆ Aut C2564C2^5.28C2^2128,1118
C25.29C22 = C2×C23.Q8φ: C22/C1C22 ⊆ Aut C2564C2^5.29C2^2128,1121
C25.30C22 = C2×C23.11D4φ: C22/C1C22 ⊆ Aut C2564C2^5.30C2^2128,1122
C25.31C22 = C2×C23.4Q8φ: C22/C1C22 ⊆ Aut C2564C2^5.31C2^2128,1125
C25.32C22 = C23.304C24φ: C22/C1C22 ⊆ Aut C2532C2^5.32C2^2128,1136
C25.33C22 = C24.94D4φ: C22/C1C22 ⊆ Aut C2532C2^5.33C2^2128,1137
C25.34C22 = C23.308C24φ: C22/C1C22 ⊆ Aut C2532C2^5.34C2^2128,1140
C25.35C22 = C248D4φ: C22/C1C22 ⊆ Aut C2532C2^5.35C2^2128,1142
C25.36C22 = C23.311C24φ: C22/C1C22 ⊆ Aut C2532C2^5.36C2^2128,1143
C25.37C22 = C24.95D4φ: C22/C1C22 ⊆ Aut C2532C2^5.37C2^2128,1144
C25.38C22 = C23.318C24φ: C22/C1C22 ⊆ Aut C2532C2^5.38C2^2128,1150
C25.39C22 = C23.324C24φ: C22/C1C22 ⊆ Aut C2532C2^5.39C2^2128,1156
C25.40C22 = C23.333C24φ: C22/C1C22 ⊆ Aut C2532C2^5.40C2^2128,1165
C25.41C22 = C23.335C24φ: C22/C1C22 ⊆ Aut C2532C2^5.41C2^2128,1167
C25.42C22 = C244Q8φ: C22/C1C22 ⊆ Aut C2532C2^5.42C2^2128,1169
C25.43C22 = C23.372C24φ: C22/C1C22 ⊆ Aut C2532C2^5.43C2^2128,1204
C25.44C22 = C23.380C24φ: C22/C1C22 ⊆ Aut C2532C2^5.44C2^2128,1212
C25.45C22 = C23.382C24φ: C22/C1C22 ⊆ Aut C2532C2^5.45C2^2128,1214
C25.46C22 = C24.96D4φ: C22/C1C22 ⊆ Aut C2532C2^5.46C2^2128,1215
C25.47C22 = C23.434C24φ: C22/C1C22 ⊆ Aut C2532C2^5.47C2^2128,1266
C25.48C22 = C23.439C24φ: C22/C1C22 ⊆ Aut C2532C2^5.48C2^2128,1271
C25.49C22 = C23.461C24φ: C22/C1C22 ⊆ Aut C2532C2^5.49C2^2128,1293
C25.50C22 = C249D4φ: C22/C1C22 ⊆ Aut C2532C2^5.50C2^2128,1345
C25.51C22 = C2410D4φ: C22/C1C22 ⊆ Aut C2532C2^5.51C2^2128,1349
C25.52C22 = C24.97D4φ: C22/C1C22 ⊆ Aut C2532C2^5.52C2^2128,1354
C25.53C22 = C245Q8φ: C22/C1C22 ⊆ Aut C2532C2^5.53C2^2128,1358
C25.54C22 = C23.568C24φ: C22/C1C22 ⊆ Aut C2532C2^5.54C2^2128,1400
C25.55C22 = C23.569C24φ: C22/C1C22 ⊆ Aut C2532C2^5.55C2^2128,1401
C25.56C22 = C23.570C24φ: C22/C1C22 ⊆ Aut C2532C2^5.56C2^2128,1402
C25.57C22 = C23.578C24φ: C22/C1C22 ⊆ Aut C2532C2^5.57C2^2128,1410
C25.58C22 = C23.584C24φ: C22/C1C22 ⊆ Aut C2532C2^5.58C2^2128,1416
C25.59C22 = C23.585C24φ: C22/C1C22 ⊆ Aut C2532C2^5.59C2^2128,1417
C25.60C22 = C23.597C24φ: C22/C1C22 ⊆ Aut C2532C2^5.60C2^2128,1429
C25.61C22 = C23.635C24φ: C22/C1C22 ⊆ Aut C2532C2^5.61C2^2128,1467
C25.62C22 = C23.636C24φ: C22/C1C22 ⊆ Aut C2532C2^5.62C2^2128,1468
C25.63C22 = C2411D4φ: C22/C1C22 ⊆ Aut C2532C2^5.63C2^2128,1544
C25.64C22 = C246Q8φ: C22/C1C22 ⊆ Aut C2532C2^5.64C2^2128,1572
C25.65C22 = C24.15Q8φ: C22/C1C22 ⊆ Aut C2532C2^5.65C2^2128,1574
C25.66C22 = C22×C23⋊C4φ: C22/C1C22 ⊆ Aut C2532C2^5.66C2^2128,1613
C25.67C22 = C2×C22.11C24φ: C22/C1C22 ⊆ Aut C2532C2^5.67C2^2128,2157
C25.68C22 = C22×C4⋊D4φ: C22/C1C22 ⊆ Aut C2564C2^5.68C2^2128,2164
C25.69C22 = C22×C22.D4φ: C22/C1C22 ⊆ Aut C2564C2^5.69C2^2128,2166
C25.70C22 = C22×C4.4D4φ: C22/C1C22 ⊆ Aut C2564C2^5.70C2^2128,2168
C25.71C22 = C22×C422C2φ: C22/C1C22 ⊆ Aut C2564C2^5.71C2^2128,2170
C25.72C22 = C22×C41D4φ: C22/C1C22 ⊆ Aut C2564C2^5.72C2^2128,2172
C25.73C22 = C2×C22.29C24φ: C22/C1C22 ⊆ Aut C2532C2^5.73C2^2128,2178
C25.74C22 = C2×C22.32C24φ: C22/C1C22 ⊆ Aut C2532C2^5.74C2^2128,2182
C25.75C22 = C2×C232Q8φ: C22/C1C22 ⊆ Aut C2532C2^5.75C2^2128,2188
C25.76C22 = C2×D45D4φ: C22/C1C22 ⊆ Aut C2532C2^5.76C2^2128,2195
C25.77C22 = C2×C22.45C24φ: C22/C1C22 ⊆ Aut C2532C2^5.77C2^2128,2201
C25.78C22 = C22.79C25φ: C22/C1C22 ⊆ Aut C2516C2^5.78C2^2128,2222
C25.79C22 = C2×C22.54C24φ: C22/C1C22 ⊆ Aut C2532C2^5.79C2^2128,2257
C25.80C22 = C24.17Q8φ: C22/C2C2 ⊆ Aut C2564C2^5.80C2^2128,165
C25.81C22 = C2×C4×C22⋊C4φ: C22/C2C2 ⊆ Aut C2564C2^5.81C2^2128,1000
C25.82C22 = C2×C243C4φ: C22/C2C2 ⊆ Aut C2532C2^5.82C2^2128,1009
C25.83C22 = C2×C23.7Q8φ: C22/C2C2 ⊆ Aut C2564C2^5.83C2^2128,1010
C25.84C22 = C2×C23.34D4φ: C22/C2C2 ⊆ Aut C2564C2^5.84C2^2128,1011
C25.85C22 = C25.85C22φ: C22/C2C2 ⊆ Aut C2532C2^5.85C2^2128,1012
C25.86C22 = C2×C23.8Q8φ: C22/C2C2 ⊆ Aut C2564C2^5.86C2^2128,1018
C25.87C22 = C4×C22≀C2φ: C22/C2C2 ⊆ Aut C2532C2^5.87C2^2128,1031
C25.88C22 = C23≀C2φ: C22/C2C2 ⊆ Aut C2516C2^5.88C2^2128,1578
C25.89C22 = C2413D4φ: C22/C2C2 ⊆ Aut C2532C2^5.89C2^2128,1579
C25.90C22 = C248Q8φ: C22/C2C2 ⊆ Aut C2532C2^5.90C2^2128,1580
C25.91C22 = C24.166D4φ: C22/C2C2 ⊆ Aut C2532C2^5.91C2^2128,1581
C25.92C22 = C23×C22⋊C4φ: C22/C2C2 ⊆ Aut C2564C2^5.92C2^2128,2151
C25.93C22 = C22×C42⋊C2φ: C22/C2C2 ⊆ Aut C2564C2^5.93C2^2128,2153
C25.94C22 = D4×C22×C4φ: C22/C2C2 ⊆ Aut C2564C2^5.94C2^2128,2154
C25.95C22 = C22×C22⋊Q8φ: C22/C2C2 ⊆ Aut C2564C2^5.95C2^2128,2165
C25.96C22 = C2×C22.19C24φ: C22/C2C2 ⊆ Aut C2532C2^5.96C2^2128,2167
C25.97C22 = C23×C4○D4φ: C22/C2C2 ⊆ Aut C2564C2^5.97C2^2128,2322
C25.98C22 = C22×C2.C42central extension (φ=1)128C2^5.98C2^2128,998
C25.99C22 = C23×C4⋊C4central extension (φ=1)128C2^5.99C2^2128,2152
C25.100C22 = Q8×C24central extension (φ=1)128C2^5.100C2^2128,2321

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