# Extensions 1→N→G→Q→1 with N=C4×D15 and Q=C22

Direct product G=N×Q with N=C4×D15 and Q=C22
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C4×D15 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D15)⋊1C22 = S3×D4×D5φ: C22/C1C22 ⊆ Out C4×D15608+(C4xD15):1C2^2480,1097
(C4×D15)⋊2C22 = D5×D42S3φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15):2C2^2480,1098
(C4×D15)⋊3C22 = S3×D42D5φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15):3C2^2480,1099
(C4×D15)⋊4C22 = D2013D6φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15):4C2^2480,1101
(C4×D15)⋊5C22 = D2014D6φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15):5C2^2480,1102
(C4×D15)⋊6C22 = D1214D10φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15):6C2^2480,1103
(C4×D15)⋊7C22 = D5×Q83S3φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15):7C2^2480,1108
(C4×D15)⋊8C22 = S3×Q82D5φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15):8C2^2480,1109
(C4×D15)⋊9C22 = D2017D6φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15):9C2^2480,1111
(C4×D15)⋊10C22 = D46D30φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15):10C2^2480,1171
(C4×D15)⋊11C22 = D48D30φ: C22/C1C22 ⊆ Out C4×D151204+(C4xD15):11C2^2480,1176
(C4×D15)⋊12C22 = D2025D6φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15):12C2^2480,1093
(C4×D15)⋊13C22 = D2026D6φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15):13C2^2480,1094
(C4×D15)⋊14C22 = D5×C4○D12φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15):14C2^2480,1090
(C4×D15)⋊15C22 = S3×C4○D20φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15):15C2^2480,1091
(C4×D15)⋊16C22 = C2×D4×D15φ: C22/C2C2 ⊆ Out C4×D15120(C4xD15):16C2^2480,1169
(C4×D15)⋊17C22 = C2×D42D15φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):17C2^2480,1170
(C4×D15)⋊18C22 = C2×Q83D15φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):18C2^2480,1173
(C4×D15)⋊19C22 = C4○D4×D15φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15):19C2^2480,1175
(C4×D15)⋊20C22 = C2×D6011C2φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):20C2^2480,1168
(C4×D15)⋊21C22 = C2×D20⋊S3φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):21C2^2480,1075
(C4×D15)⋊22C22 = C2×D12⋊D5φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):22C2^2480,1079
(C4×D15)⋊23C22 = C2×C20⋊D6φ: C22/C2C2 ⊆ Out C4×D15120(C4xD15):23C2^2480,1089
(C4×D15)⋊24C22 = D2024D6φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15):24C2^2480,1092
(C4×D15)⋊25C22 = C2×D6.D10φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15):25C2^2480,1083
(C4×D15)⋊26C22 = S3×C2×C4×D5φ: C22/C2C2 ⊆ Out C4×D15120(C4xD15):26C2^2480,1086

Non-split extensions G=N.Q with N=C4×D15 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D15).1C22 = D15⋊D8φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).1C2^2480,557
(C4×D15).2C22 = D30.8D4φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15).2C2^2480,558
(C4×D15).3C22 = Dic10⋊D6φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).3C2^2480,563
(C4×D15).4C22 = D30.9D4φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).4C2^2480,564
(C4×D15).5C22 = D20.10D6φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).5C2^2480,573
(C4×D15).6C22 = Dic6⋊D10φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).6C2^2480,574
(C4×D15).7C22 = D30.11D4φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).7C2^2480,575
(C4×D15).8C22 = D125D10φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).8C2^2480,576
(C4×D15).9C22 = D15⋊SD16φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15).9C2^2480,581
(C4×D15).10C22 = D60⋊C22φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).10C2^2480,582
(C4×D15).11C22 = D15⋊Q16φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).11C2^2480,587
(C4×D15).12C22 = C60.C23φ: C22/C1C22 ⊆ Out C4×D152408+(C4xD15).12C2^2480,588
(C4×D15).13C22 = D20.16D6φ: C22/C1C22 ⊆ Out C4×D152408+(C4xD15).13C2^2480,597
(C4×D15).14C22 = D20.17D6φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).14C2^2480,598
(C4×D15).15C22 = D12.D10φ: C22/C1C22 ⊆ Out C4×D152408+(C4xD15).15C2^2480,599
(C4×D15).16C22 = D30.44D4φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).16C2^2480,600
(C4×D15).17C22 = C15⋊2- 1+4φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).17C2^2480,1096
(C4×D15).18C22 = D30.C23φ: C22/C1C22 ⊆ Out C4×D151208+(C4xD15).18C2^2480,1100
(C4×D15).19C22 = D20.29D6φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).19C2^2480,1104
(C4×D15).20C22 = C30.33C24φ: C22/C1C22 ⊆ Out C4×D152408+(C4xD15).20C2^2480,1105
(C4×D15).21C22 = D12.29D10φ: C22/C1C22 ⊆ Out C4×D152408-(C4xD15).21C2^2480,1106
(C4×D15).22C22 = S3×Q8×D5φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15).22C2^2480,1107
(C4×D15).23C22 = D2016D6φ: C22/C1C22 ⊆ Out C4×D151208-(C4xD15).23C2^2480,1110
(C4×D15).24C22 = D8⋊D15φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15).24C2^2480,876
(C4×D15).25C22 = Q83D30φ: C22/C1C22 ⊆ Out C4×D151204+(C4xD15).25C2^2480,879
(C4×D15).26C22 = SD16⋊D15φ: C22/C1C22 ⊆ Out C4×D152404-(C4xD15).26C2^2480,880
(C4×D15).27C22 = Q16⋊D15φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).27C2^2480,883
(C4×D15).28C22 = Q8.15D30φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).28C2^2480,1174
(C4×D15).29C22 = D4.10D30φ: C22/C1C22 ⊆ Out C4×D152404-(C4xD15).29C2^2480,1177
(C4×D15).30C22 = D246D5φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15).30C2^2480,333
(C4×D15).31C22 = C408D6φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15).31C2^2480,334
(C4×D15).32C22 = D30.3D4φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).32C2^2480,354
(C4×D15).33C22 = D30.4D4φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).33C2^2480,356
(C4×D15).34C22 = D20.38D6φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).34C2^2480,1076
(C4×D15).35C22 = C30.C24φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).35C2^2480,1080
(C4×D15).36C22 = D5×C8⋊S3φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15).36C2^2480,320
(C4×D15).37C22 = S3×C8⋊D5φ: C22/C1C22 ⊆ Out C4×D151204(C4xD15).37C2^2480,321
(C4×D15).38C22 = C40.34D6φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).38C2^2480,342
(C4×D15).39C22 = C40.55D6φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).39C2^2480,343
(C4×D15).40C22 = D60.5C4φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).40C2^2480,366
(C4×D15).41C22 = D60.4C4φ: C22/C1C22 ⊆ Out C4×D152404(C4xD15).41C2^2480,367
(C4×D15).42C22 = D8×D15φ: C22/C2C2 ⊆ Out C4×D151204+(C4xD15).42C2^2480,875
(C4×D15).43C22 = D83D15φ: C22/C2C2 ⊆ Out C4×D152404-(C4xD15).43C2^2480,877
(C4×D15).44C22 = SD16×D15φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).44C2^2480,878
(C4×D15).45C22 = D4.5D30φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).45C2^2480,881
(C4×D15).46C22 = Q16×D15φ: C22/C2C2 ⊆ Out C4×D152404-(C4xD15).46C2^2480,882
(C4×D15).47C22 = D1208C2φ: C22/C2C2 ⊆ Out C4×D152404+(C4xD15).47C2^2480,884
(C4×D15).48C22 = C2×Q8×D15φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15).48C2^2480,1172
(C4×D15).49C22 = C2×C40⋊S3φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15).49C2^2480,865
(C4×D15).50C22 = D60.6C4φ: C22/C2C2 ⊆ Out C4×D152402(C4xD15).50C2^2480,866
(C4×D15).51C22 = M4(2)×D15φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).51C2^2480,871
(C4×D15).52C22 = D60.3C4φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).52C2^2480,872
(C4×D15).53C22 = C4014D6φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).53C2^2480,331
(C4×D15).54C22 = C405D6φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).54C2^2480,332
(C4×D15).55C22 = Dic10.D6φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).55C2^2480,340
(C4×D15).56C22 = Dic6.D10φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).56C2^2480,352
(C4×D15).57C22 = D405S3φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).57C2^2480,353
(C4×D15).58C22 = D245D5φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).58C2^2480,355
(C4×D15).59C22 = C2×D15⋊Q8φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15).59C2^2480,1082
(C4×D15).60C22 = S3×C8×D5φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).60C2^2480,319
(C4×D15).61C22 = C40⋊D6φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).61C2^2480,322
(C4×D15).62C22 = C40.54D6φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).62C2^2480,341
(C4×D15).63C22 = C40.35D6φ: C22/C2C2 ⊆ Out C4×D152404(C4xD15).63C2^2480,344
(C4×D15).64C22 = C2×D152C8φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15).64C2^2480,365
(C4×D15).65C22 = D154M4(2)φ: C22/C2C2 ⊆ Out C4×D151204(C4xD15).65C2^2480,368
(C4×D15).66C22 = C2×D30.5C4φ: C22/C2C2 ⊆ Out C4×D15240(C4xD15).66C2^2480,371
(C4×D15).67C22 = C2×C8×D15φ: trivial image240(C4xD15).67C2^2480,864

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