# Extensions 1→N→G→Q→1 with N=D4×C15 and Q=C22

Direct product G=N×Q with N=D4×C15 and Q=C22
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=D4×C15 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C15)⋊1C22 = D5×D4⋊S3φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):1C2^2480,553
(D4×C15)⋊2C22 = Dic103D6φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):2C2^2480,554
(D4×C15)⋊3C22 = S3×D4⋊D5φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):3C2^2480,555
(D4×C15)⋊4C22 = D60.C22φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):4C2^2480,556
(D4×C15)⋊5C22 = D15⋊D8φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):5C2^2480,557
(D4×C15)⋊6C22 = D30.8D4φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15):6C2^2480,558
(D4×C15)⋊7C22 = S3×D4×D5φ: C22/C1C22 ⊆ Out D4×C15608+(D4xC15):7C2^2480,1097
(D4×C15)⋊8C22 = D5×D42S3φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15):8C2^2480,1098
(D4×C15)⋊9C22 = S3×D42D5φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15):9C2^2480,1099
(D4×C15)⋊10C22 = D30.C23φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):10C2^2480,1100
(D4×C15)⋊11C22 = D2013D6φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15):11C2^2480,1101
(D4×C15)⋊12C22 = D2014D6φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):12C2^2480,1102
(D4×C15)⋊13C22 = D1214D10φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15):13C2^2480,1103
(D4×C15)⋊14C22 = D8×D15φ: C22/C1C22 ⊆ Out D4×C151204+(D4xC15):14C2^2480,875
(D4×C15)⋊15C22 = D8⋊D15φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15):15C2^2480,876
(D4×C15)⋊16C22 = C3×D5×D8φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15):16C2^2480,703
(D4×C15)⋊17C22 = C3×D8⋊D5φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15):17C2^2480,704
(D4×C15)⋊18C22 = C5×S3×D8φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15):18C2^2480,789
(D4×C15)⋊19C22 = C5×D8⋊S3φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15):19C2^2480,790
(D4×C15)⋊20C22 = C2×D4⋊D15φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):20C2^2480,896
(D4×C15)⋊21C22 = D4⋊D30φ: C22/C2C2 ⊆ Out D4×C151204+(D4xC15):21C2^2480,914
(D4×C15)⋊22C22 = C2×D4×D15φ: C22/C2C2 ⊆ Out D4×C15120(D4xC15):22C2^2480,1169
(D4×C15)⋊23C22 = C2×D42D15φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):23C2^2480,1170
(D4×C15)⋊24C22 = D46D30φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):24C2^2480,1171
(D4×C15)⋊25C22 = C4○D4×D15φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):25C2^2480,1175
(D4×C15)⋊26C22 = D48D30φ: C22/C2C2 ⊆ Out D4×C151204+(D4xC15):26C2^2480,1176
(D4×C15)⋊27C22 = C6×D4⋊D5φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):27C2^2480,724
(D4×C15)⋊28C22 = C3×D4⋊D10φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):28C2^2480,742
(D4×C15)⋊29C22 = C6×D4×D5φ: C22/C2C2 ⊆ Out D4×C15120(D4xC15):29C2^2480,1139
(D4×C15)⋊30C22 = C6×D42D5φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):30C2^2480,1140
(D4×C15)⋊31C22 = C3×D46D10φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):31C2^2480,1141
(D4×C15)⋊32C22 = C3×D5×C4○D4φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):32C2^2480,1145
(D4×C15)⋊33C22 = C3×D48D10φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):33C2^2480,1146
(D4×C15)⋊34C22 = C10×D4⋊S3φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):34C2^2480,810
(D4×C15)⋊35C22 = C5×D4⋊D6φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):35C2^2480,828
(D4×C15)⋊36C22 = S3×D4×C10φ: C22/C2C2 ⊆ Out D4×C15120(D4xC15):36C2^2480,1154
(D4×C15)⋊37C22 = C10×D42S3φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):37C2^2480,1155
(D4×C15)⋊38C22 = C5×D46D6φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):38C2^2480,1156
(D4×C15)⋊39C22 = C5×S3×C4○D4φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):39C2^2480,1160
(D4×C15)⋊40C22 = C5×D4○D12φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):40C2^2480,1161
(D4×C15)⋊41C22 = D8×C30φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15):41C2^2480,937
(D4×C15)⋊42C22 = C15×C8⋊C22φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15):42C2^2480,941
(D4×C15)⋊43C22 = C4○D4×C30φ: trivial image240(D4xC15):43C2^2480,1183
(D4×C15)⋊44C22 = C15×2+ 1+4φ: trivial image1204(D4xC15):44C2^2480,1184

Non-split extensions G=N.Q with N=D4×C15 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C15).1C22 = D5×D4.S3φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15).1C2^2480,559
(D4×C15).2C22 = C60.8C23φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).2C2^2480,560
(D4×C15).3C22 = S3×D4.D5φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15).3C2^2480,561
(D4×C15).4C22 = C60.10C23φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).4C2^2480,562
(D4×C15).5C22 = Dic10⋊D6φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15).5C2^2480,563
(D4×C15).6C22 = D30.9D4φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).6C2^2480,564
(D4×C15).7C22 = D1210D10φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15).7C2^2480,565
(D4×C15).8C22 = D12.24D10φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).8C2^2480,566
(D4×C15).9C22 = D20.9D6φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15).9C2^2480,567
(D4×C15).10C22 = C60.16C23φ: C22/C1C22 ⊆ Out D4×C152408+(D4xC15).10C2^2480,568
(D4×C15).11C22 = D20.24D6φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).11C2^2480,569
(D4×C15).12C22 = D2010D6φ: C22/C1C22 ⊆ Out D4×C151208-(D4xC15).12C2^2480,570
(D4×C15).13C22 = C60.19C23φ: C22/C1C22 ⊆ Out D4×C152408+(D4xC15).13C2^2480,571
(D4×C15).14C22 = D12.9D10φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15).14C2^2480,572
(D4×C15).15C22 = D20.10D6φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).15C2^2480,573
(D4×C15).16C22 = Dic6⋊D10φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15).16C2^2480,574
(D4×C15).17C22 = D30.11D4φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).17C2^2480,575
(D4×C15).18C22 = D125D10φ: C22/C1C22 ⊆ Out D4×C151208+(D4xC15).18C2^2480,576
(D4×C15).19C22 = C15⋊2- 1+4φ: C22/C1C22 ⊆ Out D4×C152408-(D4xC15).19C2^2480,1096
(D4×C15).20C22 = D83D15φ: C22/C1C22 ⊆ Out D4×C152404-(D4xC15).20C2^2480,877
(D4×C15).21C22 = SD16×D15φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15).21C2^2480,878
(D4×C15).22C22 = Q83D30φ: C22/C1C22 ⊆ Out D4×C151204+(D4xC15).22C2^2480,879
(D4×C15).23C22 = SD16⋊D15φ: C22/C1C22 ⊆ Out D4×C152404-(D4xC15).23C2^2480,880
(D4×C15).24C22 = D4.5D30φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).24C2^2480,881
(D4×C15).25C22 = C3×D83D5φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).25C2^2480,705
(D4×C15).26C22 = C3×D5×SD16φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15).26C2^2480,706
(D4×C15).27C22 = C3×D40⋊C2φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15).27C2^2480,707
(D4×C15).28C22 = C3×SD16⋊D5φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).28C2^2480,708
(D4×C15).29C22 = C3×SD163D5φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).29C2^2480,709
(D4×C15).30C22 = C5×D83S3φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).30C2^2480,791
(D4×C15).31C22 = C5×S3×SD16φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15).31C2^2480,792
(D4×C15).32C22 = C5×Q83D6φ: C22/C1C22 ⊆ Out D4×C151204(D4xC15).32C2^2480,793
(D4×C15).33C22 = C5×D4.D6φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).33C2^2480,794
(D4×C15).34C22 = C5×Q8.7D6φ: C22/C1C22 ⊆ Out D4×C152404(D4xC15).34C2^2480,795
(D4×C15).35C22 = D4.D30φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15).35C2^2480,897
(D4×C15).36C22 = C2×D4.D15φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15).36C2^2480,898
(D4×C15).37C22 = D4.8D30φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).37C2^2480,915
(D4×C15).38C22 = D4.9D30φ: C22/C2C2 ⊆ Out D4×C152404-(D4xC15).38C2^2480,916
(D4×C15).39C22 = D4.10D30φ: C22/C2C2 ⊆ Out D4×C152404-(D4xC15).39C2^2480,1177
(D4×C15).40C22 = C3×D4.D10φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15).40C2^2480,725
(D4×C15).41C22 = C6×D4.D5φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15).41C2^2480,726
(D4×C15).42C22 = C3×D4.8D10φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).42C2^2480,743
(D4×C15).43C22 = C3×D4.9D10φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).43C2^2480,744
(D4×C15).44C22 = C3×D4.10D10φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).44C2^2480,1147
(D4×C15).45C22 = C5×D126C22φ: C22/C2C2 ⊆ Out D4×C151204(D4xC15).45C2^2480,811
(D4×C15).46C22 = C10×D4.S3φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15).46C2^2480,812
(D4×C15).47C22 = C5×Q8.13D6φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).47C2^2480,829
(D4×C15).48C22 = C5×Q8.14D6φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).48C2^2480,830
(D4×C15).49C22 = C5×Q8○D12φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).49C2^2480,1162
(D4×C15).50C22 = SD16×C30φ: C22/C2C2 ⊆ Out D4×C15240(D4xC15).50C2^2480,938
(D4×C15).51C22 = C15×C4○D8φ: C22/C2C2 ⊆ Out D4×C152402(D4xC15).51C2^2480,940
(D4×C15).52C22 = C15×C8.C22φ: C22/C2C2 ⊆ Out D4×C152404(D4xC15).52C2^2480,942
(D4×C15).53C22 = C15×2- 1+4φ: trivial image2404(D4xC15).53C2^2480,1185

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