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Extensions 1→N→G→Q→1 with N=C2×C6.D4 and Q=C2

Direct product G=N×Q with N=C2×C6.D4 and Q=C2
dρLabelID
C22×C6.D496C2^2xC6.D4192,1398

Semidirect products G=N:Q with N=C2×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6.D4)⋊1C2 = C2×C23.6D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):1C2192,513
(C2×C6.D4)⋊2C2 = C24.59D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):2C2192,514
(C2×C6.D4)⋊3C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):3C2192,515
(C2×C6.D4)⋊4C2 = C24.24D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):4C2192,516
(C2×C6.D4)⋊5C2 = C24.25D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):5C2192,518
(C2×C6.D4)⋊6C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):6C2192,520
(C2×C6.D4)⋊7C2 = C24.76D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):7C2192,772
(C2×C6.D4)⋊8C2 = C2×C23.7D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):8C2192,778
(C2×C6.D4)⋊9C2 = C24.29D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):9C2192,779
(C2×C6.D4)⋊10C2 = C24.30D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):10C2192,780
(C2×C6.D4)⋊11C2 = C24.31D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):11C2192,781
(C2×C6.D4)⋊12C2 = C24.32D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):12C2192,782
(C2×C6.D4)⋊13C2 = C25.4S3φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):13C2192,806
(C2×C6.D4)⋊14C2 = C2×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):14C2192,1043
(C2×C6.D4)⋊15C2 = C24.35D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):15C2192,1045
(C2×C6.D4)⋊16C2 = C2×C23.9D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):16C2192,1047
(C2×C6.D4)⋊17C2 = C2×C23.11D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):17C2192,1050
(C2×C6.D4)⋊18C2 = C24.42D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):18C2192,1054
(C2×C6.D4)⋊19C2 = C24.43D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):19C2192,1146
(C2×C6.D4)⋊20C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):20C2192,1150
(C2×C6.D4)⋊21C2 = C24.46D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):21C2192,1152
(C2×C6.D4)⋊22C2 = C2×C23.28D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):22C2192,1348
(C2×C6.D4)⋊23C2 = C2×D4×Dic3φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):23C2192,1354
(C2×C6.D4)⋊24C2 = C2×C23.23D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):24C2192,1355
(C2×C6.D4)⋊25C2 = C2×C23.12D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):25C2192,1356
(C2×C6.D4)⋊26C2 = C24.49D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):26C2192,1357
(C2×C6.D4)⋊27C2 = C2×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):27C2192,1358
(C2×C6.D4)⋊28C2 = C2×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):28C2192,1359
(C2×C6.D4)⋊29C2 = C2×C23.14D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4):29C2192,1361
(C2×C6.D4)⋊30C2 = C24⋊12D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):30C2192,1363
(C2×C6.D4)⋊31C2 = C24.53D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):31C2192,1365
(C2×C6.D4)⋊32C2 = C2×C24⋊4S3φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4):32C2192,1399
(C2×C6.D4)⋊33C2 = C2×C4×C3⋊D4φ: trivial image96(C2xC6.D4):33C2192,1347

Non-split extensions G=N.Q with N=C2×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6.D4).1C2 = C24.12D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4).1C2192,85
(C2×C6.D4).2C2 = C24.13D6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4).2C2192,86
(C2×C6.D4).3C2 = Dic3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).3C2192,500
(C2×C6.D4).4C2 = C24.55D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).4C2192,501
(C2×C6.D4).5C2 = C24.56D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).5C2192,502
(C2×C6.D4).6C2 = C24.14D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).6C2192,503
(C2×C6.D4).7C2 = C24.15D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).7C2192,504
(C2×C6.D4).8C2 = C24.57D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).8C2192,505
(C2×C6.D4).9C2 = C23⋊2Dic6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).9C2192,506
(C2×C6.D4).10C2 = C24.17D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).10C2192,507
(C2×C6.D4).11C2 = C24.18D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).11C2192,508
(C2×C6.D4).12C2 = C24.58D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).12C2192,509
(C2×C6.D4).13C2 = C24.19D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).13C2192,510
(C2×C6.D4).14C2 = C24.20D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).14C2192,511
(C2×C6.D4).15C2 = C24.21D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).15C2192,512
(C2×C6.D4).16C2 = C24.73D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).16C2192,769
(C2×C6.D4).17C2 = C24.74D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).17C2192,770
(C2×C6.D4).18C2 = C24.75D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).18C2192,771
(C2×C6.D4).19C2 = C2×C23.16D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).19C2192,1039
(C2×C6.D4).20C2 = C2×Dic3.D4φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).20C2192,1040
(C2×C6.D4).21C2 = C2×C23.8D6φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).21C2192,1041
(C2×C6.D4).22C2 = C23⋊3Dic6φ: C2/C1 → C2 ⊆ Out C2×C6.D448(C2xC6.D4).22C2192,1042
(C2×C6.D4).23C2 = C2×C12.48D4φ: C2/C1 → C2 ⊆ Out C2×C6.D496(C2xC6.D4).23C2192,1343
(C2×C6.D4).24C2 = C4×C6.D4φ: trivial image96(C2xC6.D4).24C2192,768
(C2×C6.D4).25C2 = C2×C23.26D6φ: trivial image96(C2xC6.D4).25C2192,1345

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