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Extensions 1→N→G→Q→1 with N=C22×C12 and Q=C4

Direct product G=N×Q with N=C22×C12 and Q=C4
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C22×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C12)⋊1C4 = C24.12D6φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12):1C4192,85
(C22×C12)⋊2C4 = (C22×C12)⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12):2C4192,98
(C22×C12)⋊3C4 = C3×C23.9D4φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12):3C4192,148
(C22×C12)⋊4C4 = C3×C23.D4φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12):4C4192,158
(C22×C12)⋊5C4 = (C6×D4)⋊10C4φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12):5C4192,799
(C22×C12)⋊6C4 = C2×C23.7D6φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12):6C4192,778
(C22×C12)⋊7C4 = C6×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12):7C4192,842
(C22×C12)⋊8C4 = C3×C23.C23φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12):8C4192,843
(C22×C12)⋊9C4 = C2×C6.C42φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12):9C4192,767
(C22×C12)⋊10C4 = C24.74D6φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):10C4192,770
(C22×C12)⋊11C4 = C6×C2.C42φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12):11C4192,808
(C22×C12)⋊12C4 = C12×C22⋊C4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):12C4192,810
(C22×C12)⋊13C4 = C3×C23.34D4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):13C4192,814
(C22×C12)⋊14C4 = C24.75D6φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):14C4192,771
(C22×C12)⋊15C4 = C22×C4⋊Dic3φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12):15C4192,1344
(C22×C12)⋊16C4 = C2×C23.26D6φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):16C4192,1345
(C22×C12)⋊17C4 = C4×C6.D4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):17C4192,768
(C22×C12)⋊18C4 = Dic3×C22×C4φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12):18C4192,1341
(C22×C12)⋊19C4 = C3×C23.7Q8φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):19C4192,813
(C22×C12)⋊20C4 = C2×C6×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12):20C4192,1402
(C22×C12)⋊21C4 = C6×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12):21C4192,1403

Non-split extensions G=N.Q with N=C22×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C12).1C4 = C24.3Dic3φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12).1C4192,84
(C22×C12).2C4 = (C2×C12)⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).2C4192,87
(C22×C12).3C4 = C12.(C4⋊C4)φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).3C4192,89
(C22×C12).4C4 = C3×C23⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C1248(C2^2xC12).4C4192,129
(C22×C12).5C4 = C3×C22.M4(2)φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).5C4192,130
(C22×C12).6C4 = C3×C22.C42φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).6C4192,149
(C22×C12).7C4 = C24.D4φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12).7C4192,112
(C22×C12).8C4 = (C6×D4).16C4φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12).8C4192,796
(C22×C12).9C4 = C3×C23.C8φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12).9C4192,155
(C22×C12).10C4 = C2×C12.10D4φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).10C4192,785
(C22×C12).11C4 = C6×C4.10D4φ: C4/C1 → C4 ⊆ Aut C22×C1296(C2^2xC12).11C4192,845
(C22×C12).12C4 = C3×M4(2).8C22φ: C4/C1 → C4 ⊆ Aut C22×C12484(C2^2xC12).12C4192,846
(C22×C12).13C4 = (C2×C12)⋊3C8φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).13C4192,83
(C22×C12).14C4 = C3×C22.7C42φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).14C4192,142
(C22×C12).15C4 = C3×C22⋊C16φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).15C4192,154
(C22×C12).16C4 = C2×C42.S3φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).16C4192,480
(C22×C12).17C4 = C6×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).17C4192,836
(C22×C12).18C4 = C12×M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).18C4192,837
(C22×C12).19C4 = C6×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).19C4192,839
(C22×C12).20C4 = C3×C24.4C4φ: C4/C2 → C2 ⊆ Aut C22×C1248(C2^2xC12).20C4192,840
(C22×C12).21C4 = C6×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).21C4192,855
(C22×C12).22C4 = C2×C12⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).22C4192,482
(C22×C12).23C4 = C12⋊7M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).23C4192,483
(C22×C12).24C4 = C42.270D6φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).24C4192,485
(C22×C12).25C4 = C24.6Dic3φ: C4/C2 → C2 ⊆ Aut C22×C1248(C2^2xC12).25C4192,766
(C22×C12).26C4 = C42.285D6φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).26C4192,484
(C22×C12).27C4 = C2×C12.C8φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).27C4192,656
(C22×C12).28C4 = C22×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).28C4192,1340
(C22×C12).29C4 = C24.98D4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).29C4192,108
(C22×C12).30C4 = C2×C4×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).30C4192,479
(C22×C12).31C4 = C4×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).31C4192,481
(C22×C12).32C4 = C22×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).32C4192,655
(C22×C12).33C4 = C2×C12.55D4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).33C4192,765
(C22×C12).34C4 = C23×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C12192(C2^2xC12).34C4192,1339
(C22×C12).35C4 = C3×C4⋊M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).35C4192,856
(C22×C12).36C4 = C3×C42.12C4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).36C4192,864
(C22×C12).37C4 = C3×C42.6C4φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).37C4192,865
(C22×C12).38C4 = C6×M5(2)φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).38C4192,936
(C22×C12).39C4 = C2×C6×M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C1296(C2^2xC12).39C4192,1455

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