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Extensions 1→N→G→Q→1 with N=C6×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C6×C22⋊C4 and Q=C2
dρLabelID
C2×C6×C22⋊C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C6×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C22⋊C4)⋊1C2 = C2×C23.6D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):1C2192,513
(C6×C22⋊C4)⋊2C2 = C24.59D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):2C2192,514
(C6×C22⋊C4)⋊3C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):3C2192,517
(C6×C22⋊C4)⋊4C2 = C24.25D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):4C2192,518
(C6×C22⋊C4)⋊5C2 = C3×C24⋊3C4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):5C2192,812
(C6×C22⋊C4)⋊6C2 = C3×C23.23D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):6C2192,819
(C6×C22⋊C4)⋊7C2 = C3×C24.3C22φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):7C2192,823
(C6×C22⋊C4)⋊8C2 = C3×C23.10D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):8C2192,827
(C6×C22⋊C4)⋊9C2 = C6×C23⋊C4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):9C2192,842
(C6×C22⋊C4)⋊10C2 = C3×C22.11C24φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):10C2192,1407
(C6×C22⋊C4)⋊11C2 = C23⋊3D12φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):11C2192,519
(C6×C22⋊C4)⋊12C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):12C2192,520
(C6×C22⋊C4)⋊13C2 = C2×D6⋊D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):13C2192,1046
(C6×C22⋊C4)⋊14C2 = C2×C23.21D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):14C2192,1051
(C6×C22⋊C4)⋊15C2 = C23⋊4D12φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):15C2192,1052
(C6×C22⋊C4)⋊16C2 = C2×C23.9D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):16C2192,1047
(C6×C22⋊C4)⋊17C2 = C2×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):17C2192,1048
(C6×C22⋊C4)⋊18C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):18C2192,1049
(C6×C22⋊C4)⋊19C2 = C2×C23.11D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):19C2192,1050
(C6×C22⋊C4)⋊20C2 = C24.41D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):20C2192,1053
(C6×C22⋊C4)⋊21C2 = C24.42D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):21C2192,1054
(C6×C22⋊C4)⋊22C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):22C2192,515
(C6×C22⋊C4)⋊23C2 = C24.24D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):23C2192,516
(C6×C22⋊C4)⋊24C2 = C2×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):24C2192,1043
(C6×C22⋊C4)⋊25C2 = C2×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):25C2192,1044
(C6×C22⋊C4)⋊26C2 = C24.35D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):26C2192,1045
(C6×C22⋊C4)⋊27C2 = C3×C23⋊2D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):27C2192,825
(C6×C22⋊C4)⋊28C2 = C6×C22≀C2φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):28C2192,1410
(C6×C22⋊C4)⋊29C2 = C6×C4⋊D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):29C2192,1411
(C6×C22⋊C4)⋊30C2 = C6×C22.D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):30C2192,1413
(C6×C22⋊C4)⋊31C2 = C6×C4.4D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4):31C2192,1415
(C6×C22⋊C4)⋊32C2 = C3×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):32C2192,1423
(C6×C22⋊C4)⋊33C2 = C3×C22.32C24φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):33C2192,1427
(C6×C22⋊C4)⋊34C2 = C3×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):34C2192,1435
(C6×C22⋊C4)⋊35C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4):35C2192,1440
(C6×C22⋊C4)⋊36C2 = D4×C2×C12φ: trivial image96(C6xC2^2:C4):36C2192,1404

Non-split extensions G=N.Q with N=C6×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C22⋊C4).1C2 = C24.12D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).1C2192,85
(C6×C22⋊C4).2C2 = C24.13D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).2C2192,86
(C6×C22⋊C4).3C2 = C3×C23⋊C8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).3C2192,129
(C6×C22⋊C4).4C2 = C3×C23.9D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).4C2192,148
(C6×C22⋊C4).5C2 = C24.55D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).5C2192,501
(C6×C22⋊C4).6C2 = C24.56D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).6C2192,502
(C6×C22⋊C4).7C2 = C24.57D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).7C2192,505
(C6×C22⋊C4).8C2 = C24.20D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).8C2192,511
(C6×C22⋊C4).9C2 = C3×C23.7Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).9C2192,813
(C6×C22⋊C4).10C2 = C3×C23.34D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).10C2192,814
(C6×C22⋊C4).11C2 = C3×C23.8Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).11C2192,818
(C6×C22⋊C4).12C2 = C23⋊2Dic6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).12C2192,506
(C6×C22⋊C4).13C2 = C24.17D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).13C2192,507
(C6×C22⋊C4).14C2 = C24.18D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).14C2192,508
(C6×C22⋊C4).15C2 = C24.58D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).15C2192,509
(C6×C22⋊C4).16C2 = C24.21D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).16C2192,512
(C6×C22⋊C4).17C2 = C2×Dic3.D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).17C2192,1040
(C6×C22⋊C4).18C2 = C23⋊3Dic6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).18C2192,1042
(C6×C22⋊C4).19C2 = C24.19D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).19C2192,510
(C6×C22⋊C4).20C2 = C2×C23.8D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).20C2192,1041
(C6×C22⋊C4).21C2 = C24.3Dic3φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).21C2192,84
(C6×C22⋊C4).22C2 = Dic3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).22C2192,500
(C6×C22⋊C4).23C2 = C24.14D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).23C2192,503
(C6×C22⋊C4).24C2 = C24.15D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).24C2192,504
(C6×C22⋊C4).25C2 = C2×C23.16D6φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).25C2192,1039
(C6×C22⋊C4).26C2 = C3×C24.C22φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).26C2192,821
(C6×C22⋊C4).27C2 = C3×C23⋊Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).27C2192,826
(C6×C22⋊C4).28C2 = C3×C23.Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).28C2192,829
(C6×C22⋊C4).29C2 = C3×C23.11D4φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).29C2192,830
(C6×C22⋊C4).30C2 = C3×C23.4Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).30C2192,832
(C6×C22⋊C4).31C2 = C6×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).31C2192,1412
(C6×C22⋊C4).32C2 = C6×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C6×C22⋊C496(C6xC2^2:C4).32C2192,1417
(C6×C22⋊C4).33C2 = C3×C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C6×C22⋊C448(C6xC2^2:C4).33C2192,1432
(C6×C22⋊C4).34C2 = C12×C22⋊C4φ: trivial image96(C6xC2^2:C4).34C2192,810
(C6×C22⋊C4).35C2 = C6×C42⋊C2φ: trivial image96(C6xC2^2:C4).35C2192,1403

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