Extensions 1→N→G→Q→1 with N=C22 and Q=C22≀C2

Direct product G=N×Q with N=C22 and Q=C22≀C2
dρLabelID
C22×C22≀C232C2^2xC2^2wrC2128,2163

Semidirect products G=N:Q with N=C22 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C221C22≀C2 = C248D4φ: C22≀C2/C22⋊C4C2 ⊆ Aut C2232C2^2:1C2^2wrC2128,1142
C222C22≀C2 = C247D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2:2C2^2wrC2128,1135
C223C22≀C2 = C23≀C2φ: C22≀C2/C24C2 ⊆ Aut C2216C2^2:3C2^2wrC2128,1578

Non-split extensions G=N.Q with N=C22 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C22.1C22≀C2 = C24.262C23φ: C22≀C2/C22⋊C4C2 ⊆ Aut C2264C2^2.1C2^2wrC2128,1162
C22.2C22≀C2 = C24.103D4φ: C22≀C2/C22⋊C4C2 ⊆ Aut C2232C2^2.2C2^2wrC2128,1734
C22.3C22≀C2 = (C2×D4)⋊21D4φ: C22≀C2/C22⋊C4C2 ⊆ Aut C2232C2^2.3C2^2wrC2128,1744
C22.4C22≀C2 = (C2×Q8)⋊17D4φ: C22≀C2/C22⋊C4C2 ⊆ Aut C2264C2^2.4C2^2wrC2128,1745
C22.5C22≀C2 = C42.313C23φ: C22≀C2/C22⋊C4C2 ⊆ Aut C22164C2^2.5C2^2wrC2128,1750
C22.6C22≀C2 = C24⋊C23φ: C22≀C2/C22⋊C4C2 ⊆ Aut C22168+C2^2.6C2^2wrC2128,1758
C22.7C22≀C2 = C25⋊C4φ: C22≀C2/C2×D4C2 ⊆ Aut C2216C2^2.7C2^2wrC2128,513
C22.8C22≀C2 = C24.165C23φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.8C2^2wrC2128,514
C22.9C22≀C2 = C24.66D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.9C2^2wrC2128,521
C22.10C22≀C2 = 2+ 1+42C4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.10C2^2wrC2128,522
C22.11C22≀C2 = 2+ 1+44C4φ: C22≀C2/C2×D4C2 ⊆ Aut C22324C2^2.11C2^2wrC2128,526
C22.12C22≀C2 = C4○D4.D4φ: C22≀C2/C2×D4C2 ⊆ Aut C22168+C2^2.12C2^2wrC2128,527
C22.13C22≀C2 = (C22×Q8)⋊C4φ: C22≀C2/C2×D4C2 ⊆ Aut C22328-C2^2.13C2^2wrC2128,528
C22.14C22≀C2 = C23.304C24φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.14C2^2wrC2128,1136
C22.15C22≀C2 = C24.94D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.15C2^2wrC2128,1137
C22.16C22≀C2 = C24.243C23φ: C22≀C2/C2×D4C2 ⊆ Aut C2264C2^2.16C2^2wrC2128,1138
C22.17C22≀C2 = C24.105D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.17C2^2wrC2128,1738
C22.18C22≀C2 = C24.106D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.18C2^2wrC2128,1739
C22.19C22≀C2 = C4○D4⋊D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.19C2^2wrC2128,1740
C22.20C22≀C2 = D4.(C2×D4)φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.20C2^2wrC2128,1741
C22.21C22≀C2 = (C2×Q8)⋊16D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.21C2^2wrC2128,1742
C22.22C22≀C2 = Q8.(C2×D4)φ: C22≀C2/C2×D4C2 ⊆ Aut C2264C2^2.22C2^2wrC2128,1743
C22.23C22≀C2 = C42.12C23φ: C22≀C2/C2×D4C2 ⊆ Aut C22168+C2^2.23C2^2wrC2128,1753
C22.24C22≀C2 = C42.13C23φ: C22≀C2/C2×D4C2 ⊆ Aut C22328-C2^2.24C2^2wrC2128,1754
C22.25C22≀C2 = C2×C2≀C22φ: C22≀C2/C2×D4C2 ⊆ Aut C2216C2^2.25C2^2wrC2128,1755
C22.26C22≀C2 = C2×C23.7D4φ: C22≀C2/C2×D4C2 ⊆ Aut C2232C2^2.26C2^2wrC2128,1756
C22.27C22≀C2 = (C2×C4)≀C2φ: C22≀C2/C24C2 ⊆ Aut C2216C2^2.27C2^2wrC2128,628
C22.28C22≀C2 = C427D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.28C2^2wrC2128,629
C22.29C22≀C2 = C24.78D4φ: C22≀C2/C24C2 ⊆ Aut C2216C2^2.29C2^2wrC2128,630
C22.30C22≀C2 = C24.174C23φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.30C2^2wrC2128,631
C22.31C22≀C2 = C42.5D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.31C2^2wrC2128,636
C22.32C22≀C2 = C42.6D4φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.32C2^2wrC2128,637
C22.33C22≀C2 = C42.426D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.33C2^2wrC2128,638
C22.34C22≀C2 = C42⋊D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.34C2^2wrC2128,643
C22.35C22≀C2 = C42.7D4φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.35C2^2wrC2128,644
C22.36C22≀C2 = C24.28D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.36C2^2wrC2128,645
C22.37C22≀C2 = M4(2)⋊5D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.37C2^2wrC2128,740
C22.38C22≀C2 = M4(2).D4φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.38C2^2wrC2128,741
C22.39C22≀C2 = C422D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.39C2^2wrC2128,742
C22.40C22≀C2 = C24⋊D4φ: C22≀C2/C24C2 ⊆ Aut C2216C2^2.40C2^2wrC2128,753
C22.41C22≀C2 = C24.31D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.41C2^2wrC2128,754
C22.42C22≀C2 = C42.8D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.42C2^2wrC2128,763
C22.43C22≀C2 = C24⋊Q8φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.43C2^2wrC2128,764
C22.44C22≀C2 = D4≀C2φ: C22≀C2/C24C2 ⊆ Aut C2284+C2^2.44C2^2wrC2128,928
C22.45C22≀C2 = C424D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.45C2^2wrC2128,929
C22.46C22≀C2 = C42.13D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.46C2^2wrC2128,930
C22.47C22≀C2 = C425D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.47C2^2wrC2128,931
C22.48C22≀C2 = C426D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.48C2^2wrC2128,932
C22.49C22≀C2 = C42.14D4φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.49C2^2wrC2128,933
C22.50C22≀C2 = C42.15D4φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.50C2^2wrC2128,934
C22.51C22≀C2 = C42.16D4φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.51C2^2wrC2128,935
C22.52C22≀C2 = C42.17D4φ: C22≀C2/C24C2 ⊆ Aut C22164C2^2.52C2^2wrC2128,936
C22.53C22≀C2 = Q8≀C2φ: C22≀C2/C24C2 ⊆ Aut C22164-C2^2.53C2^2wrC2128,937
C22.54C22≀C2 = C249D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.54C2^2wrC2128,1345
C22.55C22≀C2 = C23.514C24φ: C22≀C2/C24C2 ⊆ Aut C2264C2^2.55C2^2wrC2128,1346
C22.56C22≀C2 = C24.166D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.56C2^2wrC2128,1581
C22.57C22≀C2 = C24.177D4φ: C22≀C2/C24C2 ⊆ Aut C2216C2^2.57C2^2wrC2128,1735
C22.58C22≀C2 = C24.178D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.58C2^2wrC2128,1736
C22.59C22≀C2 = C24.104D4φ: C22≀C2/C24C2 ⊆ Aut C2232C2^2.59C2^2wrC2128,1737
C22.60C22≀C2 = M4(2)⋊C23φ: C22≀C2/C24C2 ⊆ Aut C22168+C2^2.60C2^2wrC2128,1751
C22.61C22≀C2 = M4(2).C23φ: C22≀C2/C24C2 ⊆ Aut C22328-C2^2.61C2^2wrC2128,1752
C22.62C22≀C2 = C24.17Q8central extension (φ=1)64C2^2.62C2^2wrC2128,165
C22.63C22≀C2 = C24.626C23central extension (φ=1)128C2^2.63C2^2wrC2128,168
C22.64C22≀C2 = C232C42central extension (φ=1)64C2^2.64C2^2wrC2128,169
C22.65C22≀C2 = C24.50D4central extension (φ=1)64C2^2.65C2^2wrC2128,170
C22.66C22≀C2 = C24.5Q8central extension (φ=1)64C2^2.66C2^2wrC2128,171
C22.67C22≀C2 = C24.52D4central extension (φ=1)64C2^2.67C2^2wrC2128,172
C22.68C22≀C2 = C24.631C23central extension (φ=1)128C2^2.68C2^2wrC2128,173
C22.69C22≀C2 = C24.632C23central extension (φ=1)128C2^2.69C2^2wrC2128,174
C22.70C22≀C2 = C24.634C23central extension (φ=1)128C2^2.70C2^2wrC2128,176
C22.71C22≀C2 = C24.636C23central extension (φ=1)128C2^2.71C2^2wrC2128,178
C22.72C22≀C2 = C23.35D8central extension (φ=1)32C2^2.72C2^2wrC2128,518
C22.73C22≀C2 = C24.155D4central extension (φ=1)64C2^2.73C2^2wrC2128,519
C22.74C22≀C2 = C24.65D4central extension (φ=1)64C2^2.74C2^2wrC2128,520
C22.75C22≀C2 = 2+ 1+43C4central extension (φ=1)32C2^2.75C2^2wrC2128,524
C22.76C22≀C2 = 2- 1+42C4central extension (φ=1)32C2^2.76C2^2wrC2128,525
C22.77C22≀C2 = C23.37D8central extension (φ=1)64C2^2.77C2^2wrC2128,584
C22.78C22≀C2 = C24.159D4central extension (φ=1)64C2^2.78C2^2wrC2128,585
C22.79C22≀C2 = C24.71D4central extension (φ=1)64C2^2.79C2^2wrC2128,586
C22.80C22≀C2 = C24.21D4central extension (φ=1)32C2^2.80C2^2wrC2128,588
C22.81C22≀C2 = C4.10D42C4central extension (φ=1)32C2^2.81C2^2wrC2128,589
C22.82C22≀C2 = C4≀C2⋊C4central extension (φ=1)32C2^2.82C2^2wrC2128,591
C22.83C22≀C2 = C429(C2×C4)central extension (φ=1)32C2^2.83C2^2wrC2128,592
C22.84C22≀C2 = C2.(C4×D8)central extension (φ=1)64C2^2.84C2^2wrC2128,594
C22.85C22≀C2 = Q8⋊(C4⋊C4)central extension (φ=1)128C2^2.85C2^2wrC2128,595
C22.86C22≀C2 = D4⋊(C4⋊C4)central extension (φ=1)64C2^2.86C2^2wrC2128,596
C22.87C22≀C2 = Q8⋊C4⋊C4central extension (φ=1)128C2^2.87C2^2wrC2128,597
C22.88C22≀C2 = C24.22D4central extension (φ=1)32C2^2.88C2^2wrC2128,599
C22.89C22≀C2 = C24.160D4central extension (φ=1)64C2^2.89C2^2wrC2128,604
C22.90C22≀C2 = C24.73D4central extension (φ=1)64C2^2.90C2^2wrC2128,605
C22.91C22≀C2 = C23.38D8central extension (φ=1)64C2^2.91C2^2wrC2128,606
C22.92C22≀C2 = C24.74D4central extension (φ=1)64C2^2.92C2^2wrC2128,607
C22.93C22≀C2 = (C2×SD16)⋊14C4central extension (φ=1)64C2^2.93C2^2wrC2128,609
C22.94C22≀C2 = (C2×C4)⋊9Q16central extension (φ=1)128C2^2.94C2^2wrC2128,610
C22.95C22≀C2 = (C2×C4)⋊9D8central extension (φ=1)64C2^2.95C2^2wrC2128,611
C22.96C22≀C2 = (C2×SD16)⋊15C4central extension (φ=1)64C2^2.96C2^2wrC2128,612
C22.97C22≀C2 = C8.C22⋊C4central extension (φ=1)32C2^2.97C2^2wrC2128,614
C22.98C22≀C2 = C8⋊C22⋊C4central extension (φ=1)32C2^2.98C2^2wrC2128,615
C22.99C22≀C2 = C24.23D4central extension (φ=1)32C2^2.99C2^2wrC2128,617
C22.100C22≀C2 = C4⋊Q815C4central extension (φ=1)32C2^2.100C2^2wrC2128,618
C22.101C22≀C2 = C24.24D4central extension (φ=1)16C2^2.101C2^2wrC2128,619
C22.102C22≀C2 = C4.4D413C4central extension (φ=1)32C2^2.102C2^2wrC2128,620
C22.103C22≀C2 = C25.C22central extension (φ=1)16C2^2.103C2^2wrC2128,621
C22.104C22≀C2 = C24.26D4central extension (φ=1)32C2^2.104C2^2wrC2128,622
C22.105C22≀C2 = C2×C243C4central extension (φ=1)32C2^2.105C2^2wrC2128,1009
C22.106C22≀C2 = C2×C23.8Q8central extension (φ=1)64C2^2.106C2^2wrC2128,1018
C22.107C22≀C2 = C2×C23.23D4central extension (φ=1)64C2^2.107C2^2wrC2128,1019
C22.108C22≀C2 = C2×C232D4central extension (φ=1)64C2^2.108C2^2wrC2128,1116
C22.109C22≀C2 = C2×C23⋊Q8central extension (φ=1)64C2^2.109C2^2wrC2128,1117
C22.110C22≀C2 = C2×C23.10D4central extension (φ=1)64C2^2.110C2^2wrC2128,1118
C22.111C22≀C2 = C2×C23.78C23central extension (φ=1)128C2^2.111C2^2wrC2128,1119
C22.112C22≀C2 = C2×C22⋊D8central extension (φ=1)32C2^2.112C2^2wrC2128,1728
C22.113C22≀C2 = C2×C22⋊SD16central extension (φ=1)32C2^2.113C2^2wrC2128,1729
C22.114C22≀C2 = C2×Q8⋊D4central extension (φ=1)64C2^2.114C2^2wrC2128,1730
C22.115C22≀C2 = C2×C22⋊Q16central extension (φ=1)64C2^2.115C2^2wrC2128,1731
C22.116C22≀C2 = C2×D4⋊D4central extension (φ=1)64C2^2.116C2^2wrC2128,1732
C22.117C22≀C2 = C2×D4.7D4central extension (φ=1)64C2^2.117C2^2wrC2128,1733
C22.118C22≀C2 = C2×D44D4central extension (φ=1)16C2^2.118C2^2wrC2128,1746
C22.119C22≀C2 = C2×D4.9D4central extension (φ=1)32C2^2.119C2^2wrC2128,1747
C22.120C22≀C2 = C2×D4.8D4central extension (φ=1)32C2^2.120C2^2wrC2128,1748
C22.121C22≀C2 = C2×D4.10D4central extension (φ=1)32C2^2.121C2^2wrC2128,1749
C22.122C22≀C2 = C23⋊D8central stem extension (φ=1)16C2^2.122C2^2wrC2128,327
C22.123C22≀C2 = C23⋊SD16central stem extension (φ=1)16C2^2.123C2^2wrC2128,328
C22.124C22≀C2 = C4⋊C4.D4central stem extension (φ=1)32C2^2.124C2^2wrC2128,329
C22.125C22≀C2 = (C2×C4)⋊D8central stem extension (φ=1)32C2^2.125C2^2wrC2128,330
C22.126C22≀C2 = (C2×C4)⋊SD16central stem extension (φ=1)32C2^2.126C2^2wrC2128,331
C22.127C22≀C2 = C24.9D4central stem extension (φ=1)16C2^2.127C2^2wrC2128,332
C22.128C22≀C2 = C232SD16central stem extension (φ=1)32C2^2.128C2^2wrC2128,333
C22.129C22≀C2 = C23⋊Q16central stem extension (φ=1)32C2^2.129C2^2wrC2128,334
C22.130C22≀C2 = C4⋊C4.6D4central stem extension (φ=1)32C2^2.130C2^2wrC2128,335
C22.131C22≀C2 = Q8⋊D4⋊C2central stem extension (φ=1)32C2^2.131C2^2wrC2128,336
C22.132C22≀C2 = (C2×C4)⋊Q16central stem extension (φ=1)32C2^2.132C2^2wrC2128,337
C22.133C22≀C2 = C24.12D4central stem extension (φ=1)32C2^2.133C2^2wrC2128,338
C22.134C22≀C2 = C23.5D8central stem extension (φ=1)32C2^2.134C2^2wrC2128,339
C22.135C22≀C2 = C24.14D4central stem extension (φ=1)32C2^2.135C2^2wrC2128,340
C22.136C22≀C2 = C4⋊C4.12D4central stem extension (φ=1)32C2^2.136C2^2wrC2128,341
C22.137C22≀C2 = (C2×C4).5D8central stem extension (φ=1)32C2^2.137C2^2wrC2128,342
C22.138C22≀C2 = (C2×C4).SD16central stem extension (φ=1)32C2^2.138C2^2wrC2128,343
C22.139C22≀C2 = C24.15D4central stem extension (φ=1)32C2^2.139C2^2wrC2128,344
C22.140C22≀C2 = C24.16D4central stem extension (φ=1)32C2^2.140C2^2wrC2128,345
C22.141C22≀C2 = C24.17D4central stem extension (φ=1)32C2^2.141C2^2wrC2128,346
C22.142C22≀C2 = C4⋊C4.18D4central stem extension (φ=1)32C2^2.142C2^2wrC2128,347
C22.143C22≀C2 = C4⋊C4.19D4central stem extension (φ=1)32C2^2.143C2^2wrC2128,348
C22.144C22≀C2 = C4⋊C4.20D4central stem extension (φ=1)32C2^2.144C2^2wrC2128,349
C22.145C22≀C2 = C24.18D4central stem extension (φ=1)32C2^2.145C2^2wrC2128,350
C22.146C22≀C2 = D4⋊D8central stem extension (φ=1)32C2^2.146C2^2wrC2128,351
C22.147C22≀C2 = C42.181C23central stem extension (φ=1)64C2^2.147C2^2wrC2128,352
C22.148C22≀C2 = Q8⋊D8central stem extension (φ=1)64C2^2.148C2^2wrC2128,353
C22.149C22≀C2 = D4⋊SD16central stem extension (φ=1)64C2^2.149C2^2wrC2128,354
C22.150C22≀C2 = Q8⋊SD16central stem extension (φ=1)64C2^2.150C2^2wrC2128,355
C22.151C22≀C2 = C42.185C23central stem extension (φ=1)64C2^2.151C2^2wrC2128,356
C22.152C22≀C2 = D43D8central stem extension (φ=1)64C2^2.152C2^2wrC2128,357
C22.153C22≀C2 = Q86SD16central stem extension (φ=1)64C2^2.153C2^2wrC2128,358
C22.154C22≀C2 = Q83D8central stem extension (φ=1)64C2^2.154C2^2wrC2128,359
C22.155C22≀C2 = C42.189C23central stem extension (φ=1)64C2^2.155C2^2wrC2128,360
C22.156C22≀C2 = D42SD16central stem extension (φ=1)32C2^2.156C2^2wrC2128,361
C22.157C22≀C2 = C42.191C23central stem extension (φ=1)64C2^2.157C2^2wrC2128,362
C22.158C22≀C2 = Q82SD16central stem extension (φ=1)64C2^2.158C2^2wrC2128,363
C22.159C22≀C2 = D4⋊Q16central stem extension (φ=1)64C2^2.159C2^2wrC2128,364
C22.160C22≀C2 = Q8⋊Q16central stem extension (φ=1)128C2^2.160C2^2wrC2128,365
C22.161C22≀C2 = C42.195C23central stem extension (φ=1)64C2^2.161C2^2wrC2128,366
C22.162C22≀C2 = D4.SD16central stem extension (φ=1)64C2^2.162C2^2wrC2128,367
C22.163C22≀C2 = Q8.Q16central stem extension (φ=1)128C2^2.163C2^2wrC2128,368
C22.164C22≀C2 = D4.3Q16central stem extension (φ=1)64C2^2.164C2^2wrC2128,369
C22.165C22≀C2 = C42.199C23central stem extension (φ=1)64C2^2.165C2^2wrC2128,370
C22.166C22≀C2 = D4.D8central stem extension (φ=1)32C2^2.166C2^2wrC2128,371
C22.167C22≀C2 = C42.201C23central stem extension (φ=1)64C2^2.167C2^2wrC2128,372
C22.168C22≀C2 = Q8.D8central stem extension (φ=1)64C2^2.168C2^2wrC2128,373
C22.169C22≀C2 = Q83SD16central stem extension (φ=1)64C2^2.169C2^2wrC2128,374
C22.170C22≀C2 = D4.5SD16central stem extension (φ=1)64C2^2.170C2^2wrC2128,375
C22.171C22≀C2 = D43Q16central stem extension (φ=1)64C2^2.171C2^2wrC2128,376
C22.172C22≀C2 = Q83Q16central stem extension (φ=1)128C2^2.172C2^2wrC2128,377
C22.173C22≀C2 = C42.207C23central stem extension (φ=1)64C2^2.173C2^2wrC2128,378
C22.174C22≀C2 = D4.7D8central stem extension (φ=1)64C2^2.174C2^2wrC2128,379
C22.175C22≀C2 = Q84Q16central stem extension (φ=1)128C2^2.175C2^2wrC2128,380
C22.176C22≀C2 = D44Q16central stem extension (φ=1)64C2^2.176C2^2wrC2128,381
C22.177C22≀C2 = C42.211C23central stem extension (φ=1)64C2^2.177C2^2wrC2128,382
C22.178C22≀C2 = Q84SD16central stem extension (φ=1)64C2^2.178C2^2wrC2128,383
C22.179C22≀C2 = C42.213C23central stem extension (φ=1)64C2^2.179C2^2wrC2128,384
C22.180C22≀C2 = Q8.SD16central stem extension (φ=1)128C2^2.180C2^2wrC2128,385
C22.181C22≀C2 = D44SD16central stem extension (φ=1)64C2^2.181C2^2wrC2128,386
C22.182C22≀C2 = C42.C23central stem extension (φ=1)32C2^2.182C2^2wrC2128,387
C22.183C22≀C2 = C42.2C23central stem extension (φ=1)64C2^2.183C2^2wrC2128,388
C22.184C22≀C2 = C42.3C23central stem extension (φ=1)64C2^2.184C2^2wrC2128,389
C22.185C22≀C2 = C42.4C23central stem extension (φ=1)64C2^2.185C2^2wrC2128,390
C22.186C22≀C2 = C42.5C23central stem extension (φ=1)32C2^2.186C2^2wrC2128,391
C22.187C22≀C2 = C42.6C23central stem extension (φ=1)64C2^2.187C2^2wrC2128,392
C22.188C22≀C2 = C42.7C23central stem extension (φ=1)64C2^2.188C2^2wrC2128,393
C22.189C22≀C2 = C42.8C23central stem extension (φ=1)64C2^2.189C2^2wrC2128,394
C22.190C22≀C2 = C42.9C23central stem extension (φ=1)128C2^2.190C2^2wrC2128,395
C22.191C22≀C2 = C42.10C23central stem extension (φ=1)64C2^2.191C2^2wrC2128,396
C22.192C22≀C2 = C232D8central stem extension (φ=1)64C2^2.192C2^2wrC2128,731
C22.193C22≀C2 = C233SD16central stem extension (φ=1)64C2^2.193C2^2wrC2128,732
C22.194C22≀C2 = C232Q16central stem extension (φ=1)64C2^2.194C2^2wrC2128,733
C22.195C22≀C2 = C429D4central stem extension (φ=1)16C2^2.195C2^2wrC2128,734
C22.196C22≀C2 = C42.129D4central stem extension (φ=1)32C2^2.196C2^2wrC2128,735
C22.197C22≀C2 = C4210D4central stem extension (φ=1)32C2^2.197C2^2wrC2128,736
C22.198C22≀C2 = C42.130D4central stem extension (φ=1)32C2^2.198C2^2wrC2128,737
C22.199C22≀C2 = M4(2)⋊D4central stem extension (φ=1)32C2^2.199C2^2wrC2128,738
C22.200C22≀C2 = M4(2)⋊4D4central stem extension (φ=1)32C2^2.200C2^2wrC2128,739
C22.201C22≀C2 = (C2×C4)⋊2D8central stem extension (φ=1)64C2^2.201C2^2wrC2128,743
C22.202C22≀C2 = (C22×D8).C2central stem extension (φ=1)64C2^2.202C2^2wrC2128,744
C22.203C22≀C2 = (C2×C4)⋊3SD16central stem extension (φ=1)64C2^2.203C2^2wrC2128,745
C22.204C22≀C2 = (C2×C8)⋊20D4central stem extension (φ=1)64C2^2.204C2^2wrC2128,746
C22.205C22≀C2 = (C2×C8).41D4central stem extension (φ=1)64C2^2.205C2^2wrC2128,747
C22.206C22≀C2 = (C2×C4)⋊2Q16central stem extension (φ=1)128C2^2.206C2^2wrC2128,748
C22.207C22≀C2 = (C2×D4)⋊Q8central stem extension (φ=1)64C2^2.207C2^2wrC2128,755
C22.208C22≀C2 = (C2×Q8)⋊Q8central stem extension (φ=1)128C2^2.208C2^2wrC2128,756
C22.209C22≀C2 = C4⋊C4.84D4central stem extension (φ=1)64C2^2.209C2^2wrC2128,757
C22.210C22≀C2 = C4⋊C4.85D4central stem extension (φ=1)128C2^2.210C2^2wrC2128,758
C22.211C22≀C2 = (C2×D4)⋊2Q8central stem extension (φ=1)32C2^2.211C2^2wrC2128,759
C22.212C22≀C2 = (C2×Q8)⋊2Q8central stem extension (φ=1)32C2^2.212C2^2wrC2128,760
C22.213C22≀C2 = C242Q8central stem extension (φ=1)16C2^2.213C2^2wrC2128,761
C22.214C22≀C2 = C24.180C23central stem extension (φ=1)32C2^2.214C2^2wrC2128,762
C22.215C22≀C2 = C24.83D4central stem extension (φ=1)64C2^2.215C2^2wrC2128,765
C22.216C22≀C2 = C24.84D4central stem extension (φ=1)64C2^2.216C2^2wrC2128,766
C22.217C22≀C2 = C24.85D4central stem extension (φ=1)64C2^2.217C2^2wrC2128,767
C22.218C22≀C2 = C24.86D4central stem extension (φ=1)64C2^2.218C2^2wrC2128,768
C22.219C22≀C2 = M4(2)⋊6D4central stem extension (φ=1)32C2^2.219C2^2wrC2128,769
C22.220C22≀C2 = M4(2).7D4central stem extension (φ=1)32C2^2.220C2^2wrC2128,770
C22.221C22≀C2 = C4211D4central stem extension (φ=1)32C2^2.221C2^2wrC2128,771
C22.222C22≀C2 = C4212D4central stem extension (φ=1)32C2^2.222C2^2wrC2128,772
C22.223C22≀C2 = C4⋊C47D4central stem extension (φ=1)64C2^2.223C2^2wrC2128,773
C22.224C22≀C2 = C4⋊C4.94D4central stem extension (φ=1)64C2^2.224C2^2wrC2128,774
C22.225C22≀C2 = C4⋊C4.95D4central stem extension (φ=1)128C2^2.225C2^2wrC2128,775
C22.226C22≀C2 = C24.33D4central stem extension (φ=1)32C2^2.226C2^2wrC2128,776
C22.227C22≀C2 = C4⋊C4⋊Q8central stem extension (φ=1)128C2^2.227C2^2wrC2128,789
C22.228C22≀C2 = (C2×C8)⋊Q8central stem extension (φ=1)128C2^2.228C2^2wrC2128,790
C22.229C22≀C2 = C2.(C8⋊Q8)central stem extension (φ=1)128C2^2.229C2^2wrC2128,791
C22.230C22≀C2 = M4(2)⋊Q8central stem extension (φ=1)32C2^2.230C2^2wrC2128,792
C22.231C22≀C2 = C423Q8central stem extension (φ=1)32C2^2.231C2^2wrC2128,793
C22.232C22≀C2 = C24.182C23central stem extension (φ=1)32C2^2.232C2^2wrC2128,794

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