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Extensions 1→N→G→Q→1 with N=Q8×C12 and Q=C2

Direct product G=N×Q with N=Q8×C12 and Q=C2
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=Q8×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C12)⋊1C2 = C4×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):1C2192,584
(Q8×C12)⋊2C2 = C42.56D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):2C2192,585
(Q8×C12)⋊3C2 = Q8⋊2D12φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):3C2192,586
(Q8×C12)⋊4C2 = Q8.6D12φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):4C2192,587
(Q8×C12)⋊5C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):5C2192,1127
(Q8×C12)⋊6C2 = C4×S3×Q8φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):6C2192,1130
(Q8×C12)⋊7C2 = C42.125D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):7C2192,1131
(Q8×C12)⋊8C2 = C4×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):8C2192,1132
(Q8×C12)⋊9C2 = C42.126D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):9C2192,1133
(Q8×C12)⋊10C2 = Q8×D12φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):10C2192,1134
(Q8×C12)⋊11C2 = Q8⋊6D12φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):11C2192,1135
(Q8×C12)⋊12C2 = Q8⋊7D12φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):12C2192,1136
(Q8×C12)⋊13C2 = C42.232D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):13C2192,1137
(Q8×C12)⋊14C2 = D12⋊10Q8φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):14C2192,1138
(Q8×C12)⋊15C2 = C42.131D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):15C2192,1139
(Q8×C12)⋊16C2 = C42.132D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):16C2192,1140
(Q8×C12)⋊17C2 = C42.133D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):17C2192,1141
(Q8×C12)⋊18C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):18C2192,1142
(Q8×C12)⋊19C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):19C2192,1143
(Q8×C12)⋊20C2 = C42.136D6φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):20C2192,1144
(Q8×C12)⋊21C2 = C12×SD16φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):21C2192,871
(Q8×C12)⋊22C2 = C3×SD16⋊C4φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):22C2192,873
(Q8×C12)⋊23C2 = C3×C4⋊SD16φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):23C2192,893
(Q8×C12)⋊24C2 = C3×Q8.D4φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):24C2192,897
(Q8×C12)⋊25C2 = C3×C23.32C23φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):25C2192,1408
(Q8×C12)⋊26C2 = C3×C23.33C23φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):26C2192,1409
(Q8×C12)⋊27C2 = C3×C23.36C23φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):27C2192,1418
(Q8×C12)⋊28C2 = C3×C23.37C23φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):28C2192,1422
(Q8×C12)⋊29C2 = C3×C22.35C24φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):29C2192,1430
(Q8×C12)⋊30C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):30C2192,1431
(Q8×C12)⋊31C2 = C3×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):31C2192,1437
(Q8×C12)⋊32C2 = C3×D4×Q8φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):32C2192,1438
(Q8×C12)⋊33C2 = C3×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):33C2192,1439
(Q8×C12)⋊34C2 = C3×C22.46C24φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):34C2192,1441
(Q8×C12)⋊35C2 = C3×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):35C2192,1443
(Q8×C12)⋊36C2 = C3×C22.50C24φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):36C2192,1445
(Q8×C12)⋊37C2 = C3×C22.53C24φ: C2/C1 → C2 ⊆ Out Q8×C1296(Q8xC12):37C2192,1448
(Q8×C12)⋊38C2 = C12×C4○D4φ: trivial image96(Q8xC12):38C2192,1406

Non-split extensions G=N.Q with N=Q8×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C12).1C2 = C12.26Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).1C2192,94
(Q8×C12).2C2 = Q8⋊4Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).2C2192,579
(Q8×C12).3C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).3C2192,580
(Q8×C12).4C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).4C2192,581
(Q8×C12).5C2 = Q8×C3⋊C8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).5C2192,582
(Q8×C12).6C2 = C42.210D6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).6C2192,583
(Q8×C12).7C2 = C4×C3⋊Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).7C2192,588
(Q8×C12).8C2 = C42.59D6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).8C2192,589
(Q8×C12).9C2 = C12⋊7Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).9C2192,590
(Q8×C12).10C2 = Q8×Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).10C2192,1125
(Q8×C12).11C2 = Dic6⋊10Q8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).11C2192,1126
(Q8×C12).12C2 = Q8⋊6Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).12C2192,1128
(Q8×C12).13C2 = Q8⋊7Dic6φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).13C2192,1129
(Q8×C12).14C2 = C3×Q8⋊C8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).14C2192,132
(Q8×C12).15C2 = C12×Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).15C2192,872
(Q8×C12).16C2 = C3×Q16⋊C4φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).16C2192,874
(Q8×C12).17C2 = C3×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).17C2192,879
(Q8×C12).18C2 = C3×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).18C2192,895
(Q8×C12).19C2 = C3×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).19C2192,908
(Q8×C12).20C2 = C3×C4.Q16φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).20C2192,910
(Q8×C12).21C2 = C3×Q8.Q8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).21C2192,912
(Q8×C12).22C2 = C3×Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).22C2192,1446
(Q8×C12).23C2 = C3×Q82φ: C2/C1 → C2 ⊆ Out Q8×C12192(Q8xC12).23C2192,1447
(Q8×C12).24C2 = Q8×C24φ: trivial image192(Q8xC12).24C2192,878

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