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

Direct product G=N×Q with N=C4×C12 and Q=C4
dρLabelID
C42×C12192C4^2xC12192,807

Semidirect products G=N:Q with N=C4×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C12)⋊1C4 = C42⋊3Dic3φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12):1C4192,90
(C4×C12)⋊2C4 = C42⋊4Dic3φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12):2C4192,100
(C4×C12)⋊3C4 = C42⋊5Dic3φ: C4/C1 → C4 ⊆ Aut C4×C12244(C4xC12):3C4192,104
(C4×C12)⋊4C4 = C3×C4.9C42φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12):4C4192,143
(C4×C12)⋊5C4 = C3×C42⋊C4φ: C4/C1 → C4 ⊆ Aut C4×C12244(C4xC12):5C4192,159
(C4×C12)⋊6C4 = C3×C42⋊3C4φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12):6C4192,160
(C4×C12)⋊7C4 = C42⋊7Dic3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):7C4192,496
(C4×C12)⋊8C4 = C3×C42⋊4C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):8C4192,809
(C4×C12)⋊9C4 = C3×C42⋊5C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):9C4192,816
(C4×C12)⋊10C4 = C42⋊10Dic3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):10C4192,494
(C4×C12)⋊11C4 = C42⋊11Dic3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):11C4192,495
(C4×C12)⋊12C4 = C12.8C42φ: C4/C2 → C2 ⊆ Aut C4×C1248(C4xC12):12C4192,82
(C4×C12)⋊13C4 = C4×C4⋊Dic3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):13C4192,493
(C4×C12)⋊14C4 = Dic3×C42φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):14C4192,489
(C4×C12)⋊15C4 = C42⋊6Dic3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):15C4192,491
(C4×C12)⋊16C4 = C3×C42⋊6C4φ: C4/C2 → C2 ⊆ Aut C4×C1248(C4xC12):16C4192,145
(C4×C12)⋊17C4 = C12×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):17C4192,811
(C4×C12)⋊18C4 = C3×C42⋊8C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):18C4192,815
(C4×C12)⋊19C4 = C3×C42⋊9C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12):19C4192,817

Non-split extensions G=N.Q with N=C4×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C12).1C4 = C12.15C42φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).1C4192,25
(C4×C12).2C4 = C42.Dic3φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).2C4192,101
(C4×C12).3C4 = C42.3Dic3φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).3C4192,107
(C4×C12).4C4 = C3×C16⋊C4φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).4C4192,153
(C4×C12).5C4 = C3×C42.C4φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).5C4192,161
(C4×C12).6C4 = C3×C42.3C4φ: C4/C1 → C4 ⊆ Aut C4×C12484(C4xC12).6C4192,162
(C4×C12).7C4 = C3×C16⋊5C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).7C4192,152
(C4×C12).8C4 = C6×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).8C4192,836
(C4×C12).9C4 = C3×C42.12C4φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).9C4192,864
(C4×C12).10C4 = C3×C42.6C4φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).10C4192,865
(C4×C12).11C4 = C12⋊7M4(2)φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).11C4192,483
(C4×C12).12C4 = C42.270D6φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).12C4192,485
(C4×C12).13C4 = C12⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).13C4192,21
(C4×C12).14C4 = C24.1C8φ: C4/C2 → C2 ⊆ Aut C4×C12482(C4xC12).14C4192,22
(C4×C12).15C4 = C4×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).15C4192,481
(C4×C12).16C4 = C2×C12⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).16C4192,482
(C4×C12).17C4 = C4×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).17C4192,19
(C4×C12).18C4 = C24.C8φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).18C4192,20
(C4×C12).19C4 = C2×C4×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).19C4192,479
(C4×C12).20C4 = C2×C42.S3φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).20C4192,480
(C4×C12).21C4 = C42.285D6φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).21C4192,484
(C4×C12).22C4 = C3×C4⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).22C4192,169
(C4×C12).23C4 = C3×C8.C8φ: C4/C2 → C2 ⊆ Aut C4×C12482(C4xC12).23C4192,170
(C4×C12).24C4 = C12×M4(2)φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).24C4192,837
(C4×C12).25C4 = C6×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C12192(C4xC12).25C4192,855
(C4×C12).26C4 = C3×C4⋊M4(2)φ: C4/C2 → C2 ⊆ Aut C4×C1296(C4xC12).26C4192,856

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