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

Direct product G=N×Q with N=C6×D4 and Q=C6
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=C6×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×D4)⋊1C6 = C6×D4⋊S3φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):1C6288,702
(C6×D4)⋊2C6 = C3×D12⋊6C22φ: C6/C3 → C2 ⊆ Out C6×D4244(C6xD4):2C6288,703
(C6×D4)⋊3C6 = C3×D6⋊3D4φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):3C6288,709
(C6×D4)⋊4C6 = C3×C12⋊3D4φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):4C6288,711
(C6×D4)⋊5C6 = S3×C6×D4φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):5C6288,992
(C6×D4)⋊6C6 = C6×D4⋊2S3φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):6C6288,993
(C6×D4)⋊7C6 = C3×D4⋊6D6φ: C6/C3 → C2 ⊆ Out C6×D4244(C6xD4):7C6288,994
(C6×D4)⋊8C6 = C3×C23⋊2D6φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):8C6288,708
(C6×D4)⋊9C6 = C3×C23.14D6φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4):9C6288,710
(C6×D4)⋊10C6 = C32×C22≀C2φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4):10C6288,817
(C6×D4)⋊11C6 = C32×C4⋊D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4):11C6288,818
(C6×D4)⋊12C6 = C32×C4⋊1D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4):12C6288,824
(C6×D4)⋊13C6 = D8×C3×C6φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4):13C6288,829
(C6×D4)⋊14C6 = C32×C8⋊C22φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4):14C6288,833
(C6×D4)⋊15C6 = C32×2+ 1+4φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4):15C6288,1022
(C6×D4)⋊16C6 = C4○D4×C3×C6φ: trivial image144(C6xD4):16C6288,1021

Non-split extensions G=N.Q with N=C6×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×D4).1C6 = C3×D4⋊Dic3φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4).1C6288,266
(C6×D4).2C6 = C3×C12.D4φ: C6/C3 → C2 ⊆ Out C6×D4244(C6xD4).2C6288,267
(C6×D4).3C6 = C6×D4.S3φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4).3C6288,704
(C6×D4).4C6 = C3×D4×Dic3φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4).4C6288,705
(C6×D4).5C6 = C3×C23.12D6φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4).5C6288,707
(C6×D4).6C6 = C9×C23⋊C4φ: C6/C3 → C2 ⊆ Out C6×D4724(C6xD4).6C6288,49
(C6×D4).7C6 = C9×C4.D4φ: C6/C3 → C2 ⊆ Out C6×D4724(C6xD4).7C6288,50
(C6×D4).8C6 = C9×D4⋊C4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).8C6288,52
(C6×D4).9C6 = C9×C22≀C2φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4).9C6288,170
(C6×D4).10C6 = C9×C4⋊D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).10C6288,171
(C6×D4).11C6 = C9×C22.D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).11C6288,173
(C6×D4).12C6 = C9×C4.4D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).12C6288,174
(C6×D4).13C6 = C9×C4⋊1D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).13C6288,177
(C6×D4).14C6 = D8×C18φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).14C6288,182
(C6×D4).15C6 = SD16×C18φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).15C6288,183
(C6×D4).16C6 = C9×C8⋊C22φ: C6/C3 → C2 ⊆ Out C6×D4724(C6xD4).16C6288,186
(C6×D4).17C6 = C3×C23.7D6φ: C6/C3 → C2 ⊆ Out C6×D4244(C6xD4).17C6288,268
(C6×D4).18C6 = C32×C23⋊C4φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4).18C6288,317
(C6×D4).19C6 = C32×C4.D4φ: C6/C3 → C2 ⊆ Out C6×D472(C6xD4).19C6288,318
(C6×D4).20C6 = C32×D4⋊C4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).20C6288,320
(C6×D4).21C6 = C9×2+ 1+4φ: C6/C3 → C2 ⊆ Out C6×D4724(C6xD4).21C6288,371
(C6×D4).22C6 = C3×C23.23D6φ: C6/C3 → C2 ⊆ Out C6×D448(C6xD4).22C6288,706
(C6×D4).23C6 = C32×C22.D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).23C6288,820
(C6×D4).24C6 = C32×C4.4D4φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).24C6288,821
(C6×D4).25C6 = SD16×C3×C6φ: C6/C3 → C2 ⊆ Out C6×D4144(C6xD4).25C6288,830
(C6×D4).26C6 = D4×C36φ: trivial image144(C6xD4).26C6288,168
(C6×D4).27C6 = D4×C2×C18φ: trivial image144(C6xD4).27C6288,368
(C6×D4).28C6 = C4○D4×C18φ: trivial image144(C6xD4).28C6288,370
(C6×D4).29C6 = D4×C3×C12φ: trivial image144(C6xD4).29C6288,815

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